Answer:8k
Step-by-step explanation:i did the test and got it write
Given defg is a parallelogram; prove m
The missing 7th step is ΔDGH ≅ ΔFEH.
The correct option is A.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of opposite sides parallel and equal.
Given:
Quadrilateral DEFG is a parallelogram.
We have to prove: GH ≅ EH
DH ≅ FH
We drew the diagonals in the DEFG.
In triangle HGD and HEF:
By the alternate interior angle property,
∠HGD ≅ ∠HEF
∠HDG ≅ ∠HFE
From the definition,
DG ≅ EF
By ASA criterion,
ΔDGH ≅ ΔFEH (step 7).
Since corresponding sides of congruent triangles are congruent,
So,
GH ≅ EH
DH ≅ FH
Hence, the required step is ΔDGH ≅ ΔFEH.
To learn more about the parallelogram;
https://brainly.com/question/29133107
#SPJ1
The complete question:
Statement Reason
1. Quadrilateral DEFG is a parallelogram. given
2.
definition of a parallelogram
3. Draw and . These line segments are
transversals cutting two pairs of parallel lines:
and and and . drawing line segments
4. Place point H where and intersect. defining a point
5. ∠HGD ≅ ∠HEF
∠HDG ≅ ∠HFE
6. DG ≅ EF Opposite sides of a parallelogram are congruent.
7. ASA criterion for congruence
8. GH ≅ EH
DH ≅ FH Corresponding sides of congruent triangles are congruent.
1
What is the missing statement for step 7 in this proof?
A.
ΔDGH ≅ ΔFEH
B.
ΔGHF ≅ ΔEHD
C.
ΔDGF ≅ ΔFED
D.
ΔDEF ≅ ΔEDG
what are the advantages of using a bar chart over a pie chart
The advantages of bar charts over pie charts while graphing the given data are discussed below.
What are the advantages of using a bar chart over a pie chart?A bar chart or bar graph is a visual representation of categorical data that uses rectangular bars with heights or lengths proportional to the values they represent. The possibility of a bar plot, both vertical and horizontal, exists. Vertical bar graphs are also referred to as column charts.
A circular statistical image known as a pie chart uses slices to represent numerical proportions. Each slice's arc length in a pie chart varies depending on the amount it represents.
Any numbers can be chosen for the numeric value axis in a bar chart.
Pie charts can only be used if the sum of the various parts equals a meaningful whole because they are intended to illustrate how each portion contributes to the whole.
Hence bar chart is more advantageous over pie chart when more information is to be presented through charts.
To learn more about charts, follow the link.
https://brainly.com/question/24741444
#SPJ4
tom and sami have to painting jobs but can only stop at the store once the first job nees 9/5 gallons of paint the second needs 37/3 gallons. How many gallon cans of paint should they buy
6s + 17 where s is 1/2
Answer: 20
Step-by-step explanation:
6 (1/2) + 17
3 + 17 = 20
Answer:
20
Step-by-step explanation:
6(1/2) + 17
6(1/2) = 3
3 + 17 = 20
if a is a set of real numbers which is bounded above and b is a set of real numbers which is bounded below then there is at most one real number in both a and b?
If a is a set of real numbers that is bounded above and b is a set of real numbers that is bounded below, there is at most one real number that can exist in both sets.
A real number is any number that can be expressed as a decimal or fraction and exists on the number line.
If a set of real numbers, represented by a, is bounded above, it means that there exists a real number, represented by M, such that all the numbers in the set are less than or equal to M. Similarly, if a set of real numbers, represented by b, is bounded below, it means that there exists a real number, represented by m, such that all the numbers in the set are greater than or equal to m.
Now, let's consider a real number, represented by x, that exists in both sets a and b. If x exists in a, it must be less than or equal to M and if x exists in b, it must be greater than or equal to m. Hence, x must satisfy both conditions: M >= x >= m.
From these conditions, it can be deduced that M and m must be equal to x. In other words, there can only be one real number that is simultaneously the greatest value in a and the smallest value in b.
To know more about real number here.
https://brainly.com/question/9876116
#SPJ4
What is the value of x in this proportion?
The value of x in this proposition would be the first option i.e. [tex]-13\frac{1}{4}[/tex]
4/11= -33/x+5,
to get the value of x we need to get the x to the left hand side,
4(x+5)= -33,
4x+20 = -33.
subtracting 20 from both the sides,
4x= -33-20
4x = -53.
dividing both the sides by 4,
x= -53/4
x= [tex]-13\frac{1}{4}[/tex] ,
which is option A in the given question
To know more about solving equations,
https://brainly.com/question/30106736
Change each algebraic fraction unto an equivalent fraction with the denominator of 24a^3b^2 5b/8a^3
For a project in his Geometry class, Amadou uses a mirror on the ground to measure the height of his school building. He walks a distance of 11.15 meters from the building, then places a mirror flat on the ground, marked with an X at the center. He then walks 1.05 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.25 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
The height of the school is given by the equation H = 13.274 m
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the height of the building be represented as ED = H
Let the distance of mirror from the building be CD = 11.15 m
The distance walked extra from the mirror CB = 1.05 m
The distance of Fawzia's eyes to the ground AB = 1.25 m
Now , let the triangles be represented as ΔABC and ΔCED ,
where both the triangles are similar and have a common angle
So , the corresponding sides of similar triangles are in the same ratio
And , ED / AB = CD / CB
Substituting the values in the equation , we get
ED / 1.25 = 11.15 / 1.05
Multiplying by 1.25 on both sides of the equation , we get
The height of the school building ED = ( 11.15 x 1.25 ) / 1.05
On simplifying the equation , we get
The height of the school building ED = 13.2738 m
Hence , the height of the school is 13.274 m
To learn more about similar triangles click :
https://brainly.com/question/29378183
#SPJ1
There is a bag filled with 5 blue, 6 red and 2 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting exactly 1 blue?
Answer:
5/13 chance of getting blue marble
Step-by-step explanation:
5+6+2=13
5 blue marbles so
5/13
need help with pre calc hw
The factors of the quadratic function p(x) is equal to
(x + 5 + √(65)/2)(x - 5 + √(65)/2).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, The zeros of the quadratic function p(x) = x² - 5x - 10 are,
(5 + √(65)/2, 5 - √(65)/2).
Therefore, The factors of p(x) = [x + (5 + √(65)/2)][x + (5 - √(65)/2)]
p(x) = (x + 5 + √(65)/2)(x - 5 + √(65)/2).
learn more about polynomials here :
https://brainly.com/question/11536910
#SPJ1
Find the length of the third side. If necessary, round to the nearest tenth. 7 3
The length of the third side of the given right triangle is 6.32.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”. The formula for the same is;
c² = a² + b², where a, b, c are sides of a right triangle.
Given that, a right triangle, with two sides 7 and 3, since, the figure is unavailable, let us assume that 7 is the hypotenuse and 3 is the other side, let the unknown side be x,
According to the Pythagoras theorem,
7² = 3² + x²
x² = 7² - 3²
x² = 49-9
x² = 40
x = √40
x = 6.32
Hence, the length of the third side of the given right triangle is 6.32.
Learn more about Pythagoras theorem, click;
https://brainly.com/question/14930619
#SPJ1
Consider the following equation:
−3/x+8=3/4
Step 1 of 2: State any restriction(s) on the variable, if they exist.
The restriction on the variable for the given equation is x ≠ 0
What is restriction on variables?A restricted variable is a variable whose values are confined to some only of those of which it is capable.
Given is an equation, -3/x + 8 = 3/4,
In the given equation, -3/x + 8 = 3/4
We see that, x is in denominator, therefore, x ≠ 0,
Therefore, the restriction is x ≠ 0
Finding the value of x,
-3/x + 8 = 3/4
-3/x = 3/4 - 8
-3/x = -29/4
3/x = 29/4
x/3 = 4/29
x = 12/29
Hence, the restriction on the variable for the given equation is x ≠ 0
Learn more about restriction on variables, click;
https://brainly.com/question/29059121
#SPJ1
Suppose two cards are drawn randomly.
What is the probability of
drawing two blue cards if
the first one IS replaced
before the second draw?
Assume the first card
drawn is blue.
[?]
Show your answer as a
fraction in lowest terms.
Enter the numerato
Enter
The probability of drawing two blue card is 1/16
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Probability = sample space / total outcome
The total number of cards = 12
number of blue cards = 3
Probability of drawing blue card = 3/12
= 1/4
Since the blue card is replaced,
the probability to draw blue card in the second draw is 3/12 = 1/4
probability of drawing two blue cards = 1/4× 1/4
= 1/16
learn more about probability from
https://brainly.com/question/24756209
#SPJ1
Please help me. Question:
Julie is making 8 cone-shaped party hats for her sisters birthday party from cardboard. Each party hat has a radius of 6 inches and a slant height of 5 inches. How much cardboard does Julie need? Round to the nearest tenth. Also, do you find the surface area or volume?? Please help asap. I will mark brainlest if you answer right and quick…
The amount of cardboard needed for the cone shaped hat is 753.6 inches².
How to find the area of a cone?Julie is making 8 cone-shaped party hats for her sisters birthday party from cardboard. Each party hat has a radius of 6 inches and a slant height of 5 inches. Th amount of the carboard Julie needs is the lateral area of the cardboard.
Therefore,
lateral area of each hat = πrl
where
r = radiusl = slant heightTherefore,
lateral area of each hat = 3.14 × 6 × 5
lateral area of each hat = 3.14 × 30
lateral area of each hat = 94.2 inches²
Therefore,
amount of cardboard needed = 94.2(8) = 753.6 inches²
learn more on cone here: https://brainly.com/question/15477594
#SPJ1
3. ABCD is
a. Congruent
b. Similar
c. Neither
to A'B'C'D'.
Quadrilateral ABCD is congruent to quadrilateral A'B'C'D'. Therefore, the correct answer option is: a. Congruent.
What is a transformation?In Mathematics, a transformation can be defined as the movement of a point from its original (actual) position to a final (new) location such as the following:
RotationDilationReflectionTranslationWhat is a translation?In Mathematics, a translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.
In conclusion, we can reasonably infer and logically deduce that quadrilateral ABCD and quadrilateral A'B'C'D' are congruent because quadrilateral ABCD was translated to form quadrilateral A'B'C'D'.
Read more on transformation here: brainly.com/question/18578912
#SPJ1
Complete Question:
Fill in the blank in the sentence given below.
Quadrilateral ABCD is _____ to quadrilateral A'B'C'D'.
a. Congruent
b. Similar
c. Neither
Franklin is fishing from a small boat. His fishing hook is 8 meters below him, and a fish is swimming at the same depth as the hook, 6 meters away. How far away is Franklin from the fish?
Answer: x = 15
Step-by-step explanation:
Use the Pythagorean theorem
Is it possible for two numbers to have a difference of 6,
and also a sum of 6?
Answer:
ksjsvsbsvsdjsjsbwbwbwbwushs
Pam expected the new edition of her favorite video game, Solar Y, to sell for $45. Her prediction was 12.5% higher than the game's actual cost. What was the actual cost of the game?
well, the actual cost of it was 12.5% of 45 less, hmmm what's 12.5% of 45?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{12.5\% of 45}}{\left( \cfrac{12.5}{100} \right)45} ~~ \approx ~~ 5.63~\hfill \stackrel{45~~ - ~~5.63}{\approx\text{\LARGE 39.37}}[/tex]
Subtract: 13/15−5/21
Answer:0.628571428571- or 63% and in fraction form it would be 5/8
Step-by-step explanation:
Answer: 22/35 (Result in decimals: 0.62)
Step-by-step explanation:
13/15 - 5/21
= 13 x 7/15 x 7 - 5 x 5/21 x 5
= 91/105 - 25/105
= 91 - 25/105
= 66/105
= 66 divided by 3 / 105 divided by 3
= 22/35
Answer the questions below
JL is MK congruent by CPCT.
What is congruency?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Given that, a figure, in which JK ≅ ML, ∠ JKL ≅ ∠ MLK,
We need to prove, JL ≅ MK,
The proof of the same is follows;
STATEMENT REASON
1) JK ≅ ML Given
2) ∠ JKL ≅ ∠ MLK Given
3) KL ≅ KL Reflexive property
4) Δ JKL ≅ Δ MLK By SSA rule
5) JL ≅ MK By CPCT
Hence, we get JL is MK congruent by CPCT.
Learn more about congruency, click;
https://brainly.com/question/27848509
#SPJ1
olve each equation for x. Give both an exact value and a decimal approximation, correct to three decimal places. (a) In(5x + 6) = 4 exact value decimal approximation XE (b) e6x - 5 = 15 exact value X decimal approximation Solve each equation for x. Give both an exact value and a decimal approximation, correct to three decimal places. (a) In(In(x)) = 0 exact value X = decimal approximation X = 40 (b) =4 3 + e- exact value X = decimal approximation X =
The exact value of is x [tex]e^{4}[/tex] - 6/5 and the value of x will be 9.720.
What is exponential?
The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
a) In(5x + 6) = 4 exact value decimal approximation XE
ln (5x+6) = [tex]e^{4}[/tex]
5x = [tex]e^{4}[/tex] - 6
x = [tex]e^{4}[/tex] - 6/5
5x = e^-6 x = 5 (r) x = 9.720
Hence, The exact value of is x [tex]e^{4}[/tex] - 6/5 and the value of x will be 9.720.
Learn more about exponential, by the following link.
https://brainly.com/question/2456547
#SPJ4
Triangle ABC is a right triangle. B What is the length of AC? 20 21 40 58
Answer:
Step-by-step explanation:
58
Given that2x - 2 < g(x) < x^2 + 2x - 3, use the Sandwich Theorem to
In this case, 2x - 2 < g(x) < x^2 + 2x - 3 for all x in some interval.
The Sandwich TheoremThe Sandwich Theorem states that if f(x) < g(x) < h(x) for all x in an interval, then g must have a value that is equal to either f or h at some point in that interval.
In this case, 2x - 2 < g(x) < x^2 + 2x - 3 for all x in some interval.
Hence, there exists a constant c such that g(c) = x^2 + 2x - 3.
Learn more on the sandwich theorem here https://brainly.com/question/1550476
#SPJ1
Given that2x - 2 < g(x) < x^2 + 2x - 3, use the Sandwich Theorem to prove that there exists a constant c such that g(c) = x^2 + 2x - 3.
A video game designer places an anthill at the origin of a coordinate plane. A red ant leaves the anthill and moves along a straight line to (1, 1), while a black ant leaves the anthill and moves along a straight line to (−1, −1). Next, the red ant moves to (2, 2), while the black ant moves to (−2, −2). Then the red ant moves to (3, 3), while the black ant moves to (−3, −3), and so on. Complete the explanation of why the red ant and the black ant are always the same distance from the anthill.
Answer:
In order in which the boxes appear:
[tex]\boxed{a\sqrt{2}}[/tex]
[tex]\boxed{a\sqrt{2}}[/tex]
[tex]\boxed{a\sqrt{2}}[/tex]
Step-by-step explanation:
At any coordinate (x , y) the distance from the origin (0, 0) is computed by the distance (Pythagorean formula) as:
d = [tex]\sqrt{x^2+y^2}[/tex]
Since x = y = a for both ants, the distance is
[tex]d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{a^2}\cdot \sqrt{2}\\\\d = a\sqrt{2}[/tex]
It does not matter whether both coordinates are positive or both negative since we are taking the squares of the coordinates and distance is always positive
Solve the equations by graphing. Graph the system below and enter the solution set as an ordered pair in the form (x,y).
Hey, for this type of question, go on desmos it a calculator. but I hope this is right. Sorry if wrong
i need help also the answer choices are A: 1,008 B:1,044 C: 360 and D:1,082 please give me an answer choice
Answer:
A. 1008 square inches
Step-by-step explanation:
You want the lateral area of a triangular prism with base edge lengths 10 in, 10 in, and 8 in, and a height of 36 in.
Lateral areaThe lateral area of the prism is the area of the three rectangular sides. The area of each rectangle is the product of its length and width. All have the same length, so we can sum the widths before multiplying:
LA = Pl
LA = (10 in + 10 in + 8 in)(36 in) = 28·36 in² = 1008 in²
The lateral surface area of the prism is 1008 square inches.
finding the domain of f(g(x)) (precalculus)
The domain of f(g(x)) is the set of all real numbers x for which g(x) is defined and lies in the domain of f(x).
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Given f(x) = 1/(x + 1) and g(x) = 1/(x+2)
First, let's find the domain of g(x). The function g(x) = 1/(x+2), so the denominator of this fraction must be non-zero. This means that x + 2 must be non-zero, or x must not equal -2. Thus, the domain of g(x) is all real numbers except for x = -2.
Next, let's find the domain of f(x). The function f(x) = 1/(x + 1), so the denominator of this fraction must also be non-zero. This means that x + 1 must be non-zero, or x must not equal -1. Thus, the domain of f(x) is all real numbers except for x = -1.
So, for f(g(x)) to be defined, g(x) must be in the domain of f(x), or g(x) must not equal -1. Since g(x) = 1/(x+2), this means that x + 2 must not equal 0, or x must not equal -2.
Combining these two conditions, the domain of f(g(x)) is all real numbers except for x = -2 and x = -1.
Therefore, the domain of f(g(x)) is all real numbers except for x = -2 and x = -1.
Learn more about the functions here:
brainly.com/question/12431044
#SPJ2
Find the general form of the equation of a hyperbola with vertices at (-2, 5) and (6, 5) and foci at (-3, 5) and (7, 5). A. 16x2 - 9y2 - 160x + 36y - 508 = 0 B. 9x2 - 16y2 - 36x + 160y - 508 = 0 C. none of these D. 3x2 - 16y2 - 12x + 160y - 532 = 0
The general form of the equation of the hyperbola with the given information is [tex]9x^2 - 16y^2 - 36x + 160y - 508 = 0[/tex]. The equation can be determined by first finding the center of the hyperbola, which is (2, 5), and the distance between the foci, which is 4.
The general form of the equation of a hyperbola can be determined from the given information. The vertices of the hyperbola are given as (-2, 5) and (6, 5). The foci of the hyperbola are given as (-3, 5) and (7, 5). The first step in finding the equation of the hyperbola is to determine the center of the hyperbola. The center of the hyperbola can be calculated by taking the average of the x-coordinates of the vertices and then the average of the y-coordinates of the vertices. The center of the hyperbola is then (2, 5). The distance between the foci of the hyperbola is 4. This distance can be calculated by subtracting the x-coordinates of the foci and then subtracting the y-coordinates of the foci. The standard equation for a hyperbola can then be formed by substituting the center coordinates and the distance between the foci into the equation. The resulting equation is [tex]9x^2 - 16y^2 - 36x + 160y - 508 = 0[/tex]. This equation is the general form of the equation of the hyperbola with the given
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Isaiah plans to repaint some classroom bookcases. He has 6 gallons of
paint. All of the bookcases are the same size and each requires 1/3 gallon
of paint. How many bookcases will he be able to paint?
3
So Isaiah has a total of 6 gallons of paint and each bookcases takes 1/3 gallon. How many bookcases can he paint?
Alright to solve this problem, we can simply take the total gallons of paint Isaiah has and divide that by 1/3
So 6 divided by 1/3 should give us the answer.
But how do we divide fractions? Remember this useful tip for all throughout your school life when you don't have a calculator: Keep, Change, Flip
Keep the first fraction, change the sign to a multiplication sign, and flip the second fraction.
This should give us 6 x 3/1 or 3, which is 18.
Isiah will be able to paint 18 bookcases.
Hope this helped!
use identities to evaluate it find the value of the expression
The value of cosθ is -0.54.
What is a trigonometric function?
The right-angled triangle's angle and the ratio of its two side lengths are related by the trigonometric functions, which are actual functions. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Here, we have
Given: If sin( θ - π/2) = 0.54. find the value of cos(- θ).
According to cofunction inequalities
sin( θ - π/2) = -cosθ
cos(- θ) = cosθ
sin( θ - π/2) = 0.54
-cosθ = 0.54
cosθ = -0.54
Hence, the value of cosθ is -0.54.
To learn more about the trigonometric function from the given link
https://brainly.com/question/25618616
#SPJ1