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Verizon [17]
3 years ago
10

The measure of angle 1 is (3x + 10)° and the measure of angle 4 is (4x – 15)°. Vertical and parallel lines c, d, and e are cut b

y diagonal transversal a. On line c where it intersects with line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line b where it intersects with line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. What is the measure of angle 7? °
Mathematics
2 answers:
Nikitich [7]3 years ago
5 0

Answer:

95 degrees

Step-by-step explanation:

since angles 1 and 4 are vertical angles, they are congruent

3x+10=4x-15

3x-4x=-15-10

-x=-25

x=25

x=25 degrees

angles 4 and 7 are supplementary due to them being alternate exterior angles

lets find the measure of angle 4:

4x-15

4*25-15

100-15

85 degrees

Now, lets find the angle measure of angle 7:

85+x=180

x=180-85

x=95

So, the angle measure of angle 7 is 95 degrees

Alexandra [31]3 years ago
3 0

Answer:

95

Step-by-step explanation:

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Us photo math , it show u even the steps of how was it solve
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3 years ago
A line passes through the points (2,4) and (5,6) .
Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points (x_1,y_1) and (x_2, y_2)

then the general form y -y_1=m(x-x_1) for linear equations where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

First calculate slope for the points (2, 4) and (5, 6);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}

then, by point slope intercept form;

y-4=\frac{2}{3}(x-2)

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}

then, by point slope intercept form;

y-6=\frac{2}{3}(x-5)

Yes, the only equation of line from the given options  which describes the given line are;

y-4=\frac{2}{3}(x-2)  and y-6=\frac{2}{3}(x-5)



8 0
3 years ago
18. Without solving the radical equation VX + 5 + 9 = 0, how could you tell that it has no real solution?
sweet-ann [11.9K]

Answer:

Has two unkown variables

Step-by-step explanation:

When there is only one equation provided with two unknown variables, it is difficult to solve for the unknown variables

The most simplified version of this equation would be VX = -14

More information would be needed to solve

5 0
2 years ago
Which of the following is a multiple of 2?
docker41 [41]
The answer is a because if you divide 1000 by 2 you get 500 and the other ones you get a decimal.

6 0
3 years ago
Wo mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together they
anyanavicka [17]
------------------------------------------------------------------------------------------------------
Find the cost of the first 10 hours:
------------------------------------------------------------------------------------------------------
10 hours = $220 x 10
10 hours = $2200

------------------------------------------------------------------------------------------------------
Find the cost of the next 5 hours (only the second mechanic worked):
------------------------------------------------------------------------------------------------------
5 hours  = $2725 - $2200 
5 hours = $525

------------------------------------------------------------------------------------------------------
Hourly charge of the second mechanic:
------------------------------------------------------------------------------------------------------
5 hours = $525
1 hour = $525 ÷ 5
1 hour = $105

------------------------------------------------------------------------------------------------------
Hourly charge of the first mechanic:
------------------------------------------------------------------------------------------------------
$220 - $105 = $115


------------------------------------------------------------------------------------------------------
Answer: First mechanic = $115/hour ; Second mechanic = $105/hour
------------------------------------------------------------------------------------------------------
4 0
2 years ago
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