Answers
Answer:
Step-by-step explanation:
1) a) 15x = 12x + 15 {Alternate interior angles}
b) 15x - 12x = 15 {Subtract 12x from both sides}
3x = 15
x = 15/3
x = 5
c) Alternate interior angles
2) a) 3x + 10 + 3x - 28 = 180 {co- interior angles are supplementary}
b) 6x - 18 = 180 { Combine like terms}
6x = 180 + 18
6x = 198
x = 198/6
x = 33
c) co- interior angles are supplementary
3) a) 7x + 9 + 5x +3 = 180
b) 12x + 12 = 180
12x = 180 - 12
12x = 168
x = 168/12
x = 14
c) linear pair
4) a) 12x - 18 = 8x + 10
b) 12x - 8x - 18 = 10
4x - 18 = 10
4x = 10 +18
4x = 28
x = 28/4
x = 7
c) Vertically opposite angles are equal.
Related Questions
I NEED HELP NOWWDJNDIWADNADHQIDN
Answers
Answer:
D
Step-by-step explanation:
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 6 inches.What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.)
Answers
Answer:
0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 69, \sigma = 6[/tex]
What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall?
This is the pvalue of Z when X = 70 subtracted by the pvalue of Z when X = 68. So
X = 70
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 69}{6}[/tex]
[tex]Z = 0.17[/tex]
[tex]Z = 0.17[/tex] has a pvalue of 0.5675
X = 68
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{68 - 69}{6}[/tex]
[tex]Z = -0.17[/tex]
[tex]Z = -0.17[/tex] has a pvalue of 0.4325
0.5675 - 0.4325 = 0.1350
0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall
Solve for x. Your answer may be in decimal form. Round to the nearest tenth. Help me with thiz
Answers
Given :
Two similar triangles ΔABC and ΔSTU .
To Find :
The value of x.
Solution :
Since, ΔABC and ΔSTU are similar, so ratio of their sides are equal.
[tex]\dfrac{AB}{AC} = \dfrac{SU}{ST}\\\\\dfrac{x}{21}=\dfrac{13}{5}\\\\x = \dfrac{21\times 13}{5}\\\\x = 54.6[/tex]
Therefore, value of x is 54.6 .
Pls help urgently extra points and mark brainlist
Answers
Study this incomplete image of a geometric construction. This image may result from the construction of ____
A. a line parallel to line AB through C.
B. a perpendicular to line AB.
The next step in this construction is to set the compass width to
A. line segment DC and draw an arc centered at D intersecting the second arc.
B. line segment KC and draw an arc centered at K intersecting the second arc.
C. arc IJ and draw an arc centered at K intersecting the second arc.
D. line segment CI and draw an arc centered at I intersecting the second arc.
Thank you.
Answers
Answer:
A line parallel to line AB through C & arc IJ and draw an arc centered at K intersecting the second arc
Step-by-step explanation:
This image may result from the construction of a line parallel to line AB through C.
The next step in this construction is to set the compass width to arc IJ and draw an arc centered at K intersecting the second arc.
What is Construction?Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this.
Given:
From the image we can see that there is an attempt to make a copy of angle and proceeds to draw a parallel line.
So, This image may result from the construction of a line parallel to line AB through C.
Now, the next step can be measure the arc IJ from compass and put the pointer on K with same measurement and cut the Arc.
Learn more about construction here:
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Solve for x
−30=5(x−9)
x=
Answers
Answer:
Hi! The correct answer is x=3!
Step-by-step explanation:
~Isolate the variable by dividing each side by factors that don't contain the variable~
Answer:
x=3
Step-by-step explain
1
Distribute
−3 0 = 5 (
can you please help me please
Answers
Answer:
(4 , -3)
Step-by-step explanation:
Put "y" by itself on one side to isolate it
3x - y = 15
3x = 15 + y
3x - 15 = y
Substitute "y" in the second equation for "3x - 15"
x + (3x - 15) = 1
4x - 15 = 1
4x = 16
x = 4
Then, plug 4 into x in any of the equations
4 + y = 1
y = -3
(4 , -3)
Which statement is true?
Answers
Answer:
Step-by-step explanatmkjion:
The Correct statements is [tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex].
To determine which statement is true, let's evaluate each statement one by one:
[tex]\sqrt[m]{x} * \sqrt[m]{y} = 2\sqrt[m]{xy}[/tex]
This statement is false. The correct product of two nth roots ([tex]\sqrt[m]{x}[/tex] and [tex]\sqrt[m]{y}[/tex]) is [tex]\sqrt[m]{x*y}[/tex], not 2[tex]\sqrt[m]{x*y}[/tex].
[tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex].
This statement is true. When raising an nth root to a power, you can simply multiply the exponents. So, [tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex]..
[tex]a \sqrt[n]{x}+ b \sqrt[n]{x} = ab \sqrt[n]{x}[/tex]
This statement is false. The correct result of adding two nth roots is not the product of the coefficients. It's simply (a + b) [tex]\sqrt[n]{x}[/tex].
[tex]\sqrt[m]{x} /\sqrt[m]{y} = \sqrt[m]{xy}[/tex]
This statement is false. The correct division of two nth roots ([tex]\sqrt[m]{x}[/tex] divided by [tex]\sqrt[m]{y}[/tex]) is not equal to the product of the roots. The correct division is:
[tex]\sqrt[m]{x} /\sqrt[m]{y} = \sqrt[m]{x/y}[/tex]
So, [tex]\sqrt[m]{x} /\sqrt[m]{y}[/tex] is equal to [tex]\sqrt[m]{x/y}[/tex], not [tex]\sqrt[m]{xy}[/tex].
Correct statements:
[tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex]
To know more about coefficients:
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What method can be used to prove the triangles below are congruent?
Not possible
ASA
AAS
SAS
Answers
Answer:
SAS
Step-by-step explanation:
Because SAS is when the angle and one side are the same lenght, and i know that the two sides are the same because of the line :)
Answer:
AAS, or Angle Angle Side
Hi so I have an assignment about preparation for midterms (yes i'm behind lol) and I don't know how to answer "How can I help you prepare for your midterms?" bc i don't want help so what do I say lol
Answers
Answer:
u can try to get sleep and make sure to study
Step-by-step explanation:
i really don't know
ASAPPP!!!!
A large pizza costs $12 and each topping costs an additional $2.50.
This situation can be represented by the equation y = 12 + 2.5x, where x represents the number of toppings and y represents the total cost.
What is the total cost for 9 toppings?
-$23.50
-$14.25
-$ 34,50
-$ 22.50
Answers
Answer:
$22.50
Step-by-step explanation:
So if each topping cost 2.50 then just multiply by 9
Which of the following is most likely the next step in the series
Answers
Answer:
D
Step-by-step explanation:
6 sides then 5 then 4 then there should be 3
markme brainliest
5
Type the correct answer in the box.
ху
3 10
20
In the table, the relation (x, y) is not a function if the missing value of xis
Reset
Next
Answers
Answer:
The missing value of x is 3
Step-by-step explanation:
Given Table:
x y
3 10
__ 20
The relation of x and y (x,y) is not a function.
Relation is function if it is one-to-one.
One-to-one means to different value of x to get different value of y.
If function is not a function then one value of x to get two different value of y.
For first value of x=3, y=10
For which value of x= ? , y=20
x must be 3
x=3 to get y=20
The missing value of x is 3 because same of x we get two different value of y.
Step-by-step explanation:
Explanation: Since the other box was doubled with value the other side should double in value because at the rate it is going 1= 3.333...
Solve the system of linear equations by elimination x−2y=−7 3x+2y=3
Answers
Explanation: Substitute 3 for y x=2x -7
x=(2)(3)-7
The solution of this system of linear equations is (3,13)
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: x−2y=−7 & 3x+2y=3
Thus solving these two equations we get -8y=-24 or y=3
Therefore x=13
Hence, The solution of this system of linear equations is (3,13)
Learn more about linear equations here:
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HELLLLPPPPPP
Which line passes through the origin?
y = 3
y = x − 3
y = −3x
y = 2x + 1
Which line is horizontal?
y = 2
y = 2x
y = −2x
y = x
Which of the following lines goes downwards from left to right?
y = 2x + 5
y = 2x − 6
y = 2x
y = −2x + 20
What is the equation of a line with a y-intercept at (0, 6) and a slope of 3?
y = 3x + 6
y = 6x + 3
y = 3x − 6
y = −6x − 3
Answers
Answer:
c and a hope this helps
Step-by-step explanation:
Add or subtract the linear expressions and simplify:
Show your work!
(6x + 9) - (4x + 11)
Answers
What are the potential solutions to the equation?
Answers
If this is the full question; What are the potential solutions to the equation below? 2In(x+3)=0
then the answer is; 2ln(x + 3) = 0
ln[(x + 3)²] = 0
(x + 3)² = 1
x + 3 = ±√1
x + 3 = ±1
x = 1 - 3, -1 - 3
x = -2, -1 - 3
x = -2, -4
when checking solution; x = -4 in the original equation does not hold true. so you drop x = -4 from the solution set.
therefore;
x = -2
hope this helps, God bless!
Answer:
c
Step-by-step explanation:
which of the binomials below is a factor of this trinomial x^2-10x+24
Answers
Answer:
(x - 6)(x - 4)
Step-by-step explanation:
(x² - 10x + 24)
(x - 6)(x - 4)
The factors are x - 6 and x - 4.
3x = 5.7 x=1 answer
Answers
BBS s
If f(x) = –2x2 + 6, find the value of f(-3).
Answers
Answer: 12x−18
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
6. If LMNO is a parallelogram, and LM =2y - 9 and NO = y-2, find the
value of 'y'.
y =
Answers
9514 1404 393
Answer:
y = 7
Step-by-step explanation:
Opposite sides are the same length:
LM = NO
2y -9 = y -2
y = 7 . . . . . . . add 9-y to both sides
At Ole's Waffle Shop there are 81 dirty coffee mugs and 9 clean coffee mugs. What percentage of the coffee mugs at the waffle shop are dirty?
answers:
50%
10%
90%
100%
Answers
Please help I only have a short amount of time to get my grades up
Answers
Step-by-step explanation:
the first option is the correct answer.
Answer:
It is A
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
What percentage of the students surveyed eat no more than 3 whole servings of fruits and vegetables daily
Answers
Answer:
Step-by-step explanation:
The missing histogram file is attached in the image below.
From the graph, deduce that:
the servings of fruits and vegetable number of students
0 1
1 4
2 5
3 10
4 8
5 3
6 0
7 1
Thus, the percentage of students surveyed that eat more than 3 whole servings is:
= starting from 4 = (8+3+0+1)/32 = 0.375
Which equation has 2 solutions?
Answers
Answer:Umm you can do ratios if you learned it or you can times it
Step-by-step explanation:
Hope this helps
the total cost of a $112.75 meal with a 20% tip
Answers
Will give brainliest
Answers
Answer:
First Gardener.
Step-by-step explanation:
1st gardener= 56 divided by 8= 7 bushes <---
2nd gardener= 45 divided by 5= 9 bushes
3rd gardener= 80 divided by 10= 8
1 point
4. 11 students participated in a jog-a-thon and raised different
amounts of money. This data was used to make the box plot
below. What is the median of this data?
90 95 100 105 110 115 120 125 130
Money Raised by Students in the Jog-a-Thon
Answers
Answer:
Not cool
Step-by-step explanation:
Whats -7 x 5? Can you also explain how you did it?
Answers
Answer:
-35
Step-by-step explanation:
+ x + = +
- x - = +
- x + = -
hope that helps
Answer:
-7 x 5 = -35
Step-by-step explanation:
7 x 5 = 35
35 x -1 = -35
If one number is a negative in a multiplication problem, the answer is negative.
A mailbox that is 4 1/2 feet tall casts a shadow that is 6 feet long. At the same time, a nearby ferris wheel casts a shadow 84 feet long. Find the height of the ferris wheel.
60 feet
Answers
Answer: 63 ft
Step-by-step explanation:
We can think of the shadow and height of objects as the catheti of a triangle rectangle.
We also know the relationship:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
if we define:
Tan(θ) = k (a real number, such that will be the same number for every object, because it depends on the angle θ that will depend on the position of the sun)
opposite cathetis = heigt.
adjacent cathetus = length of the shadow.
Then we have:
k = height/length of the shadow.
For the mailbox, we know that the height is (4 + 1/2) ft and the shadow is 6ft long, then we have the equation:
k = (4 + 1/2)ft/6ft = 0.75
Then for the ferris wheel we know:
shadow length = 84ft
we can write the same equation as above:
k = 0.75 = height/84ft
0.75*84ft = height = 63ft
The ferris wheel is 63 ft high.
Answer:
63 feet
Step-by-step explanation:
Trust me got it right