Vertical Angles: Vertical angles are angles that are opposite of each other when two straight lines cross. In
the diagram in #5, ZGEF and ZMEH are a pair of vertical angles while ZFEM and ZHEG are also.
(a) Given the results of your calculations in #5, what can you say about the measure of vertical angles?
(b) Why do you think this occurs?
Answers
9514 1404 393
Answer:
vertical angles are congruentboth are supplementary to the same angleStep-by-step explanation:
Given the results of #5 are ...
∠GEF = 120, 150, 155, 135
∠FEM = 60, 30, 25, 45
∠MEH = 120, 150, 155, 135
∠HEG = 60, 30, 25, 45
__
(a) We can see that vertical angles are congruent.
(b) Each of a pair of vertical angles is supplementary to the same angle.
∠GEF and ∠MEH are both supplementary to ∠FEM and to ∠HEG
∠FEM and ∠HEG are both supplementary to ∠GEF and to ∠MEH
Related Questions
Together, Iris and Ivan weigh 120 pounds. Iris weighs 10 pounds less than Ivan. How much does each child weigh?
Answers
Answer:
Iris weighs 55 pounds, Ivan weighs 65 pounds.
Step-by-step explanation:
Divide 120 by 2: 60
Then make the 10 pound difference by adding and subtracting 5 to 60 for each answer: 55 and 65.
Iris = 55 pounds
Ivan = 65 pounds
Let x be Iris and y be Ivan.
x+ y = 120
y-10+ y = 120
2y - 10 = 120
2y = 120 + 10
2y = 130
y = 130/2
y = 65 pounds
x = y-10
= 65-10
x = 55 pounds
Give an example of an event that has a probability of 1 (100%).
Answers
Answer:
meteor hitting earth
Step-by-step explanation:
not sure of actual probability but i believe one that would cause mass extinction is quite improbable
The movies has 4 bathrooms in 16 theaters what is the bathroom to theaters ratio?
Answers
Answer:
1 bathroom to 4 theaters
Step-by-step explanation:
Here is 1 and 2 but I need 3 and 4 done ASAP thankssss!
Answers
Problem 1
Answers:
A = 2x2B = 2x2C = 3x2D = 2x3E = 3x3----------------------------------------
Explanation:
The size of a matrix is simply the number of rows and the number of columns. Something like 2x3 means we have 2 rows and 3 columns.
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Problem 2
Answers:
[tex]A_{11} = -1\\\\B_{12} = 6\\\\C_{13} = \text{DNE}\\\\D_{13} = 0\\\\E_{34} = \text{DNE}\\\\A_{22} = 0\\\\B_{21} = 5\\\\C_{31} = -5\\\\D_{23} = 4\\\\E_{22} = -7\\\\[/tex]
----------------------------------------
Explanation:
When saying something like [tex]E_{23}[/tex] we are looking at the item in the second row and third column of matrix E.
The acronym DNE stands for "Does Not Exist". It's another way of saying "Undefined". For instance, note how matrix E has only 3 columns. When we write [tex]E_{34}[/tex] we're asking about something in the fourth column, but no such column exists.
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Problems 3 and 4 seem to be cut off because I don't see them on the screenshot.
It’s timed please help
3.2b-4.7b=3b-3.3
What dose b equal
Answers
Hope this helps and that I was early :)))
Answer:
zero
Step-by-step explanation:
Can someone help me I am confused
Answers
Ms. Canciano was putting ribbon around a bulletim broard. She used 28 inches of ribbon to go all the way around and knew that the length of her board was 6 inches what is the area of her board
Answers
Answer:
48 sq inches
Step-by-step explanation:
Given that,
Ribbon used around a bulletin broard is 28 inches
The length of her board is 6 inches
Let B is breadth of her board. 28 inches is perimeter. The perimeter of rectangle is given by :
P = 2(L+B)
28=2(6+B)
14=6+B
B=8 inches
The area of a rectangle is given by :
A = L×B
A = 8×6
A=48 sq inches
So, the area of her board is 48 sq inches
2 1\2 diveded by3 2\5
Answers
Answer:
2
Step-by-step explanation:
Escribe tres números distintos qué sean divisibles por 2,3,5,9,10
Answers
Answer: 90, 180, 270
Step-by-step explanation: 90 es divisible por todos esos números. Para obtener dos números más que sean divisibles por esos, simplemente multiplique 90 por 2 y 3.
Given the functions:
f(x) = x2 – 9, and g(x) = x3 + 4x² + 8x - 7, find h(x) = f(x) + g(2).
h(x) =
x3 + 5x2 + 80 -16
h(x) = x3 + 3x² + 80 + 2
h(x) = x3 + 5x2 + 8x - 16
h(x)
- 23 - 3x? 8.2 - 2
h(x)
x3 + 3x2 + 8x + 2
Answers
Answer:
h(x) = x² + 24
Step-by-step explanation:
First solve for g(2) in g(x) = x³ + 4x² + 8x - 7 by simply substituting 2 in x variable. The result is 33.
Then get the sum of f(x) and 33 to find h(x).
HELP PLS I can’t get this one done
Answers
Answer:
B
Step-by-step explanation:
Take it one term at a time
Answer: its B
Step-by-step explanation:
[tex]\sqrt[3]{256x^1^0y^7}[/tex]
256 = 2³(2³)(2²)
x^10 = x³(x³)(x³)x
y^7 = y³(y³)y
Good night!
3^-3 find the value of power
Answers
Answer:
0.037
hope thats the answer
Answer:
Answer= 0.037
Step-by-step explanation:
([tex]3^{-3}[/tex]) is the same as [tex]\frac{1}{3^{3} }[/tex]
(the negative power rule states that [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])
which is equal to [tex]\frac{1}{27}[/tex]
or converted to decimals it will be equal to 0.037
Adam has $450. He spends $210 on food. Later he divides all the money into four equal parts. Then gives three parts to his friends, and he keeps one for himself. Later, he found $50 on the road.
Answers
Answer:
$110
Step-by-step explanation:
450-210= 240÷4= 60 +50=110
Convert the following: 20 meters/30 Seconds to miles per hour
Answers
you can find this by searching on google
SIMPLIFY:
√75r2
a. 5√3r
b. 5r√3r
c. NO SOLUTION
d. 5r√3
Answers
Answer:
d.5r√3
Step-by-step explanation:
5 and r is common when square root, so,
√5×5×3×r×r
=5r√3
Triangles ABC and DEF are shown above. Write ratio equal to BC/AB.
Which trigonometric ratio does this represent?
Answers
Answer:
Step-by-step explanation:
From the picture attached,
From ΔABC,
m∠B = 180° - (m∠C + m∠A)
= 180° - (90° + 32°)
= 180° - 122°
= 38°
Now we have to find the trigonometric ratio of BC and AB from ΔABC,
Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(32°) = [tex]\frac{BC}{AB}[/tex]
[tex]\frac{BC}{AB}=0.53[/tex]
Therefore, ratio of BC and AB represents the "sine of angle A".
Anyone know the answer
Answers
Answer:
129
Step-by-step explanation:
angle DCE= 180-(12X+15)
12X+15=20X-9
X=3
In ΔUVW, u = 8 inches, v = 2.7 inches and w=5.9 inches. Find the measure of ∠W to the nearest 10th of a degree.
Answers
Answer:32.4
Step-by-step explanation:
The measure of ∠W to the nearest 10th of a degree is, 32.9°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, The cosine rule of triangles, In a triangle, ABC with sides opposite to A is a and similar for b and c.
We have. cosA = (b² + c² - a²)/2bc.
Therefore, m∠W = (u² + v² - w²)/2uv.
m∠W = 0.84.
So, cosФ = 0.84.
Ф = cos⁻¹(0.84).
Ф = 32.9°.
learn more about the cosine rule of triangles here :
https://brainly.com/question/26952873
#SPJ3
Slope for (-1,4) (-5,-8)
Answers
Answer: M=3
Step-by-step explanation:
Find each key feature of the function shown in the graph. Enter all intervals using interval notation. Enter the x-intercepts as values of x only.
range=
domain=
x-intercepts=
average rate of change over the interval [0,2]=
the right-most interval where the graph is positive=
Answers
Answer:
Step-by-step explanation:
Range of the function is the set of y-values (output values) of the function on the graph.
Domain of the function is the set of x-values (input values) of the function.
Domain of the function : [-5, 4)
(including x = -5 and excluding x = 4)
Range : [-4, 2)
(Including y = -4 and excluding y = 2)
x - intercepts : x = -5, -2, 2
Average rate of change over the interval [0, 2]
= [tex]\frac{f(2)-f(0)}{2-0}[/tex]
= [tex]\frac{0-(-4)}{2-0}[/tex] [Since, f(2) = 0, f(0) = -4]
= 2
Right most interval where the graph is positive → [2, 4]
The key feature of a function include the intercepts and intervals of the function
The range is [-4,2)The domain is [-5,4)The x-intercepts are -2 and 2The average rate of change over the interval [0,2] is 2The right-most interval where the graph is positive is [2,4](a) The range
The least y value on the graph is at y = -4, and the maximum is at y = 2, with an open circle.
So, the range is:
[tex]\mathbf{Range = [-4,2)}[/tex]
(b) The domain
The least x value on the graph is at x = -5, and the maximum is at x = 4, with an open circle.
So, the domain is:
[tex]\mathbf{Domain = [-5,4)}[/tex]
(c) The x-intercepts
This is the point where the graph crosses the x-axis.
So, we have:
[tex]\mathbf{x-intercept =-2 \ and\ 2}[/tex]
(d) Average rate of change over [0,2]
From the graph, we have:
f(0) = -4
f(2) = 0
So, the average rate of change (m) is:
[tex]\mathbf{m = \frac{f(2) - f(0)}{2 - 0}}[/tex]
[tex]\mathbf{m = \frac{0 - -4}{2 - 0}}[/tex]
[tex]\mathbf{m = \frac{4}{2}}[/tex]
[tex]\mathbf{m =2}[/tex]
(d) The right-most interval where the graph is positive
The graph is positive from x = 2 to x = 4.
Hence, the right-most interval where the graph is positive is [2,4]
Read more about features of a function at:
https://brainly.com/question/17343786
passes through (0, 1) and (2, 5)
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
1. Find the slope: change in y/change in x
[tex]\frac{5-1}{2-0}[/tex] = 2
Slope: 2
2. Find y-intercept by substituting in a point (0, 1)
y = 2x + b
1 = b
3. Put the equation together
y = 2x + 1
The equation of the line passing through the points (0, 1) and (2, 5) is y = 2x + 1.
What is y intercept?y intercept is the y coordinate of the point on the line where it touches the Y axis. The x coordinate will be 0 there.
The equation of a line in slope intercept form is,
y = mx + c
Here m is the value of the slope and c is y intercept.
Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given two points (0, 1) and (2, 5).
Slope, m = (5 - 1) / (2 - 0)
= 4 / 2
= 2
c is the y coordinate when x = 0.
We have that point given (0, 1).
So c = 1
Substituting m = 2 and c = 1 in the general form, we get,
y = 2x + 1
Hence the equation of the line is y = 2x + 1.
To learn more about y intercepts, click on the link :
https://brainly.com/question/14180189
#SPJ2
The pet store currently has 430 frogs. Last night 114 jumped out and
escaped. What was the inventory before the great frog escape?
Answers
Answer:
544
Step-by-step explanation:
430+114
Given:
A= The square root of 3
B= 2 times the square root of 3
C= The square root of 25
D= The square root of 16
Which expressions result in a rational number? Select all that apply.
a. a+b
b. c+d
c. a+d
d. a*b
e. b*d
f. c*d
g. a*a
Answers
Answer:
b, d, f, gStep-by-step explanation:
Given:
A= √3 B= 2 √3 C= √25 = 5D= √16 = 4Possible expressions resulting in a rational number are the product of A and B and any combination of C and D as they are rational
Correct choices
b. c+d = 5+4 = 9d. a*b = √3×2√3 = 2×3 = 6f. c*d = 5×4 = 20g. a*a = √3×√3 = 3A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.
If each side of the park on the map is 12 inches long, how long is each side of the actual square park?
Answers
1 inch to 100 feet
12 inches = 1200 feet.
Just multiply both sides by 12.
The answer is 1200 feet.
Can anyone help with this please
Answers
Answer:the correct answer is b
Step-by-step explanation:
Took the test also download the app called photo math all I have to do is take the photo of the problem it’s free of charge
three times a number m
Answers
Answer:
3n
Step-by-step explanation:
3 x n
simplifies to be
3n
hope this helps
Can someone help me please
Answers
Answer:
The answer is y = 1/3 |x|
Step-by-step explanation:
write three numbers that round to 60,000 when rounded to the nearest ten thousand
Answers
3 numbers right there :)
Ngo has a collection of dimes and quarters with a total value of $5.20. The number of dimes is 4 less than the number of quarters. How many of each coin does he have?
Answers
9514 1404 393
Answer:
16 quarters12 dimesStep-by-step explanation:
Let Q represent the number of quarters. Then (Q-4) is the number of dimes, and the total amount of money is ...
25Q +10(Q -4) = 520
35Q = 560 . . . . . add 40
Q = 560/35 = 16
Ngo has 16 quarters and 12 dimes.
nicholas started a canned food drive at school. the equation representing this is y=235=15, where x is the number of days, and y is the number of cans collected. explain how to determine how many days it would take to collect 2600 cans.
Answers
Answer:
195 cans will be left after 10 days
Sample Answer: I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.
Step-by-step explanation:
i did the edge thing
Answer:
I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.
Step-by-step explanation:
hope this helps
did it on edge
have a good day