8. Two streets intersect at a traffic light, forming vertical angles. If the
measure of one of the angles formed by the intersecting streets is 78°,
what are the measures of the other three angles? Draw and label a
picture of the scenario. Show your work for how you found the missing
angles. (3 points)
Answers
The measures of the angles in the intersection are 78 degrees, 78 degrees, 102 degrees and 102 degrees
How to determine the measure of the three variables?The measure of one of the angles is given as 78 degrees
Represent this angle with x
So, we have
x = 78
Vertical angles are congruent angles
This means that
Vertical angle = x = 78
The other angles adjacent these angles are also congruent
And the measure of these angles is calculated using
y + x = 180
Substitute the known values in the above equation
So, we have
y + 78 = 180
Subtract 78 from both sides of the equation
So, we have
y + 78 - 78 = 180 - 78
Evaluate the like terms in the above equation
So, we have
y = 102
This means that the measure of the other angles is 102 degrees
Hence, the measures of the angles in the intersection are 78 degrees, 78 degrees, 102 degrees and 102 degrees
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Related Questions
Whats The Answer Marking Brainliest, Please explain your answer:D..............................Please HELP!!!
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Can anyone help me answer this question?
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The solution to the graph of y = -2x2+4x+2 is -
The solution to the graph y = -2x + 1 is 0.5
How to find the solution of a graphThe solution of the graph for the equations given refers to the point where the graph intersects the x axis. The equations given are of two types linear and non linear.
The linear equation is the straight line and non of the values has power greater than 1 while non linear equations has powers greater than. When the power is two, the equation is termed parabolic equation this represents the non linear equation given here,
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You take a taxi to your sisters home. The driver charges you $8 for 3 kilometers and $2 for each additional kilometer. If you paid a total of $14 how long did you travel
Answers
What is the area of a circle with a 17cm diameter?
Answers
What is f(0) if f(t) = t^2 – 2t – 2?
Answers
Answer:
-2
Step-by-step explanation:
f(t) = t^2 – 2t – 2
To find f(0), replace t with 0 in the expression and evaluate the expression.
f(0) = 0^2 – 2(0) – 2
f(0) = -2
0 = t
We know this because 0 replaced t in the parenthesis next to F !
The question is just asking you to plug in 0 where ever t is!
Let's do it
[tex]f(0) = 0^{2} - 2(0) - 2[/tex]
solve
[tex]0^{2} = 0 \\2 ( 0 ) = 0[/tex]
so, this is what we have left!
[tex]f(0) = 0 - 0 - 2[/tex]
We have our answer!
[tex]f (0) = -2[/tex]
Which situation is best represented by the following equation?
45w+123.95=753.95
A.Erica paid $753.95 for dance classes. She paid $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w,the number of weeks Erica was enrolled in dance classes?
B.Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?
C.Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?
D.Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?
Answers
Answer:
The correct answers is B.
Step-by-step explanation:
12-e <-2
solution???
Answers
12 - e < -2
- e < -2 - 12 Move 12 to subtract.
- e < - 14
e > 14 When the coefficient is in negative. Moving the negative as changing the sign of Inequality to opposite.
Therefore, the answer is e > 14
Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.
Answers
Given:
The ratio of the amount of money Kate has to that of Nora is 3 : 5.
After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.
To find:
The sum of money Kate had initially.
Solution:
Let the initial amount of money Kate and Nora have are 3x and 5x respectively.
After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.
The amount of Kate = 3x+150
The amount of Nora = 5x-150
Now,
[tex]\dfrac{3x+150}{5x-150}=\dfrac{7}{9}[/tex]
[tex]9(3x+150)=7(5x-150)[/tex]
[tex]27x+1350=35x-1050[/tex]
[tex]1350+1050=35x-27x[/tex]
[tex]2400=8x[/tex]
Divide both sides by 8.
[tex]300=x[/tex]
Putting x=300 in 3x, to get the amount of money Kate has initially.
[tex]3(300)=900[/tex]
Therefore, the Kate initially had $900.
HELP this is important!
Answers
Answer:
1. 11,17,23,29
2.t=19
3. +6
4. 4
5.57
A loaf of bread costs $4.00 today. The same size loaf cost 20 cents in 1955. What percentage of today's price did someone pay for bread. Explain your thinking.
Answers
Answer:
$0.8, or 80 cents
Answer:
Your answer is 0.05 or5%
Step-by-step explanation:
what you do is 20÷400=0.05=5%
Can you please help math is so annoying
Answers
Answer:
first one
Step-by-step explanation:
Which point below has a positive x-value and a negative y-value? Q RS on
Answers
Barbara bought a piece of rope that was 6 3/4 meters long. She cut the rope into 6 equal pieces. How long is each piece of rope?
Answers
Answer:
1 1/8
Step-by-step explanation:
Make this an improper fraction for simplicity: 27/4
now divide into six portions: (27/4)/6 = (27/6)/4 = 27/24 = 1 3/24 = 1 1/8
What is the equation of this line in slope intercept forn?
3z +y=2
A. y=-3+2
B. y=3z +2
C. y=-3z 2
D. y=3r-2
Answers
Answer:
We conclude that the equation of this line in the slope-intercept form will be:
[tex]y = -3z+2[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Given the equation
[tex]3z +y=2[/tex]
Writing the equation in the slope-intercept form of the line equation by simplifying it
subtracting 3z from both sides
[tex]3z+y-3z = -3z+2[/tex]
[tex]y = -3z+2[/tex]
Therefore, we conclude that the equation of this line in the slope-intercept form will be:
[tex]y = -3z+2[/tex]In the equation 5 + 3x - 7 = 10, what are the like terms?
Answers
Answer:
5 , -7 , 10
Step-by-step explanation:
An equitorial triangle has 3 medians true or false
Answers
Note: Its equilateral not equitorial triangle .
Given:
The statement is "An equilateral triangle has 3 medians".
To find:
Whether the given statement is true or false.
Solution:
Median of a triangle connected the vertex and midpoint of opposite side of the triangle.
We know that that every triangle has three medians.
In case of equilateral triangle, all sides and angles are equal and median is the height of the triangle.
So, an equilateral triangle has 3 medians.
Therefore, the given statement is true.
Tickets for a family of 6 to go skiing cost $48. whats the unit price ?
Answers
48/6 = 8
I need help please!!!
Answers
Answer:(y=2x+2
Step-by-step explanation:
Need help :((
plss help i took a screenshot so you can see
Answers
Answer: 5:4
Step-by-step explanation: you divide them i believe :)
Answer:
5:9
Step-by-step explanation:
Well it says the ratio to the blueberry muffins to all muffins so add together 12+15 which is 27 then compare the ratios in simplest form so 15:27 in simplified form is 5:9
area of a rectangle whose length is 4x-6 and width is x+1
Answers
Answer: The area is 4x^2-2x-6
Step-by-step explanation: The area of a rectangle is length*width. So multiply both these terms. Remember the method foil, that would apply here. (4x-6)(x+1), you end up with 4x^2+4x-6x-6. Then combine like terms, to get 4x^2-2x-6.
The sum of the first five terms of an arithmetic sequence is 35. The sum of the next five terms is 85. Determine the first term and the common difference of the sequence.
Answers
Answer:
The first term is 3 and the common difference is 2
Step-by-step explanation:
The formula of the sum of the nth term of the arithmetic sequence is
[tex]S_{n}=\frac{n}{2}[2a+(n-1)d][/tex], where
a is the first termd is the common differencen is the position of the term∵ The sum of the first five terms of an arithmetic sequence is 35
∴ [tex]S_{5}[/tex] = 35
→ Substitute The values of n and S in the rule above
∵ 35 = [tex]\frac{5}{2}[2a+(5-1)d][/tex]
∴ 35 = [tex]\frac{5}{2}[2a+4d][/tex]
→ Simplify the right side
∴ 35 = 5a + 10d
→ Switch the two sides
∴ 5a + 10d = 35 ⇒ (1)
∵ The sum of the next five terms is 85
→ To find the sum of the first 10 terms add 85 to [tex]S_{5}[/tex]
∴ [tex]S_{10}[/tex] = 35 + 85 = 120
→ Substitute The values of n and S in the rule above
∵ 120 = [tex]\frac{10}{2}[2a+(10-1)d][/tex]
∴ 120 = 5[2a + 9d]
→ Simplify the right side
∴ 120 = 10a + 45d
→ Switch the two sides
∴ 10a + 45d = 120 ⇒ (2)
Now we have a system of equations to solve it and find a and d
→ Multiply equation (1) by -2
∵ -2(5a) + -2(10d) = -2(35)
∴ -10a + -20d = -70 ⇒ (3)
→ Add equations (2) and (3)
∵ (10a + -10a) + (45d + -20d) = (120 + -70)
∴ 25d = 50
→ Divide both sides by 25 to find d
∴ d = 2
→ To find a substitute d in equation (1) by 2
∵ 5a + 10(2) = 35
∴ 5a + 20 = 35
→ Subtract 20 from both sides
∵ 5a + 20 - 20 = 35 - 20
∴ 5a = 15
→ Divide both sides by 5
∴ a = 3
∴ The first term is 3 and the common difference is 2
Please help asap!!! Forgot how to do this
Answers
Answer:
4x6=24, 7x3=21 6x3=18 for C and 5x3=15 for D
Step-by-step explanation:
Math has patterns!
Please help! i will give brainliest.
Answers
GIVE ME BRAINIEST PLEASE PLEASE
Thanks
Oi need it
You are buying a coke for yourself and tacos for your friends. You have a limited budget of y dollars. If the coke cost $2.25 and the tacos cost $1.25 each, write a linear inequality to help you determine how many tacos you can buy.
Answers
Answer:
2.25x+1.25y[tex]\leq[/tex]y
Step-by-step explanation:
Step one:
given data
the budget of y dollars
the coke cost $2.25 and
the tacos cost $1.25
Required:
the linear inequality based on the limited budget
Step two:
let the number of coke be x
and the number of tacos be y
So the linear inequality is
2.25x+1.25y[tex]\leq[/tex]y
Answer:
The answer is 2.25x+1.25yy
Step-by-step explanation:
You decide to put a new stone siding on the rectangular side of your
house, which measures 8 by 15 feet. If stone costs $3 per square foot,
what is the total cost of stone?
Answers
It’s not an question per say, I wanted to see if my answer was right
Answers
Answer:
Yes it’s correct I did this for a test like last week lol
Step-by-step explanation:
Answer:
YEs
Step-by-step explanation:
a+650=<800
a=>150
yes it is correct
Hope this helps plz hit the crown ;D
Fill in the blank. I NEED AN ANSWER FASTTT
Answers
Answer:
It is =
Step-by-step explanation:
Because (6 x 1 = 6 ) + 1 x 1/100 = 6.1
Solve the following absolute value equation'
2|x+3|-2=0
A(-2,-4)
B(4,2)
C(-3)
D(1,-7)
Answers
Answer: A(-2,-4)
Explanation:
2|x+3|-2 = 0
2|(-2)+3|-2 = 0
2|(-4)+3|-2 = 0
Which graphs display a directly proportional relationship? Check all that apply. 2
Answers
Answer:The first picture, second picture,fourth picture represents proportional relationship.
Further explanation:
Explanation:
The points in the first picture are and
The slopes between the points can be obtained as follows,
The slopes between the points are equal. Therefore, in the first picture x and y are in a proportional relationship.
The points in the second picture are and
The slopes between the points can be obtained as follows,
The slopes between the points are equal. Therefore, in the second picture x and y are in a proportional relationship.
The points in the third picture are and
The slopes between the points can be obtained as follows,
The slope is negative. Therefore, in the third picture x and y are not in a proportional relationship.
The points in the fourth picture are and
The slopes between the points can be obtained as follows,
The slopes between the points are equal. Therefore, in the fourth picture x and y are in a proportional relationship.
The first picture, second picture,fourth picture represents proportional relationship.
Learn more:
Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Ratio and proportion
Keywords: function, First picture, second picture, proportional relationship, ratio, slope, set, set of values, set of numbers, coordinates, x-coordinate, y-coordinate.
Step-by-step explanation:
The slide at a playground
has a height of 22 feet. The
distance between the foot
of the ladder and the end of
the slide is 10 feet. What is
the length of the slide?
Round to the nearest tenth.
Answers
Answer:
c = 24.17 feet
Step-by-step explanation:
Right Triangles
A right triangle is a special triangle that has an interior angle of 90°.
In right triangles, Pythagora's Theorem is satisfied:
[tex]c^2=a^2+b^2[/tex]
Where c is the hypotenuse (longest side) of the triangle, and a and b are the legs or the smaller sides.
The slide can be thought of as a right triangle whose hypotenuse is the slide itself and the legs are the height of the ladder and distance between the foot of the ladder and the end of the slide.
So we have:
[tex]c^2=22^2+10^2[/tex]
[tex]c^2=484+100=584[/tex]
[tex]c=\sqrt{584}[/tex]
c = 24.17 feet