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anzhelika [568]
2 years ago
15

What is the value of angle v?

Mathematics
1 answer:
Flauer [41]2 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

a) The third interior angle of this triangle is 180 - 20 x.  

The three interior angles must sum up to 180 degrees.

Therefore,  60 + 7x + 5 + 180 - 20x = 180, or

                       65  + 180 - 13x = 180, or

                               65 -  13x     = 0

Finally, 13x = 65, and so x = 5

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A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their
kifflom [539]

Answer:

p(x) = -0.01x + 15

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

(x_1,p_1) = (500,10)

A reduction of 50c gives an increment of 50 tickets.

This gives:

(x_2,p_2) = (500+50,10-0,5) ---- 50c = \$0.5

(x_2,p_2) = (550,9.5)

Required

Determine the demand function

First, calculate the slope:

m = \frac{p_2 - p_1}{x_2 - x_1}

m = \frac{9.5 - 10}{550-500}

m = \frac{-0.5}{50}

m = -0.01

So, the equation is:

p = m(x - x_1) + y_1

p = -0.01(x - 500) +10

p = -0.01x + 5 +10

p = -0.01x + 15

Hence, the function is:

p(x) = -0.01x + 15

4 0
3 years ago
Blaine had $68 in his checking account. He tried buying a coat, but he could not make the purchase because the money in his acco
sineoko [7]

Answer:

89

Step-by-step explanation:

68 plus 21 is 89.

3 0
3 years ago
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What is 10 divided by 2
const2013 [10]
The answer is 5. Take 10 and divide that into 2 groups equally.
8 0
3 years ago
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Given: Angle 2 is 65 degrees. What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.
lesya [120]

Answer:

\angle 4 = 115^{\circ}

\angle 3 = 65^{\circ}

\angle 7 = 65^{\circ}

Step-by-step explanation:

Given

\angle 2 = 65^{\circ}

See attachment

Solving (a): \angle 4

To solve for \angle 4, we make use of:

\angle 2 +\angle 4 = 180^{\circ}

The relationship between both angles is that they are complementary angles

Make \angle 4 the subject

\angle 4 = 180^{\circ} - \angle 2

Substitute 65^{\circ} for \angle 2

\angle 4 = 180^{\circ} - 65^{\circ}

\angle 4 = 115^{\circ}

Solving (b): \angle 3

To solve for \angle 3, we make use of:

\angle 3 =\angle 2

The relationship between both angles is that they are complementary angles

\angle 3 = 65^{\circ}

Solving (c): \angle 7

To solve for \angle 7, we make use of:

\angle 7 = \angle 3

The relationship between both angles is that they are alternate exterior angles.

So:

\angle 7 = 65^{\circ}

7 0
2 years ago
Cassie has 8 red marbles and 12 yellow marbles. Her mom doubles her red and yellow marbles for her birthday. Use the distributiv
xz_007 [3.2K]
2(8+12)

Distribute the 2 to the 8 and the 12

16+24

40
5 0
3 years ago
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