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3 years ago

Solve for x then solve for b

Mathematics

2 answers:

svp [43]3 years ago

4 0

Step-by-step explanation:

A and B are alternate angles , thus :

A = B

8x + 78⁰ = 2x + 114⁰

6x = 36

x = 6

B = 2(6) + 114 = 126⁰

trasher [3.6K]3 years ago

3 0

Answer:

x= 6 and b= 126°

Step-by-step explanation:

okay the first step to solving this is understanding what are the properties of ∠A and ∠B.

so the angles are equal to each other because they are alternate interior angles.

if that is settled it means the equation for both angles would be equal to each other as well.

∠A= 8x + 78° ∠B= 2x + 114°

therefore: 8x + 78= 2x + 114

then solve for x:

isolate x and the answer is equal to 6 at the end

now you are looking for angle b, so you input x which is 6 into the equation;

∠B= 2x + 114°

= 2(6) + 114°

=12 + 114°

=126°

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henry has 68 miles to destination after 45 minutes and 51.5 miles to destination after 71 minutes of driving. How many miles to

Airida [17]

Let d represent the distance of the destination from the starting point.

After 45 min, Henry has already driven d-68 miles. After 71 min., he has already driven d-51.5 miles.

So we have 2 points on a straight line:

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71 - 45 26 min

Thus, the slope, m, is m = 0.635 miles/min

The distance to his destination would be d - (0.635 miles/min)(79 min), or

d - 50.135 miles. We don't know how far his destination is from his starting point, so represent that by "d."

After 45 minutes: Henry has d - 68 miles to go;

After 71 minutes, he has d - 51.5 miles to go; and

After 79 minutes, he has d - x miles to go. We need to find x.

Actually, much of this is unnecessary. Assuming that Henry's speed is 0.635 miles/ min, and knowing that there are 8 minutes between 71 and 79 minutes, we can figure that the distance traveled during those 8 minutes is

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3 years ago

Marcus is comparing the costs of two cellular phone services.

kolbaska11 [484]

The true statements about Marcus graph are:

The initial cost of phone service 1 is greater than the initial cost of phone service 2
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<h3>How to determine the true statement</h3>

From the complete question, we have the following parameters:

<u>Phone service 1</u>

Initial cost: $40
Rate: $8.50 per service

<u>Phone service 2</u>

Initial cost: $30
Rate: $10.50 per service

By comparing the above parameters:

The initial cost of phone service 1 is greater than the initial cost of phone service 2
The unit rate of phone service 2 is greater than the unit rate of phone service 2

The above statements represent the true statements about the Marcus' graph

Read more about graphs at:

brainly.com/question/14323743

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2 years ago

3. The path of an underground stream is given by the function y = 4x² +17x -32. Two

sineoko [7]

Answer:

The coordinate of the wells are

$(-4 -\sqrt[]{\frac{53}{2}}, 70+15\sqrt[]{\frac{53}{2}})$

$(-4 +\sqrt[]{\frac{53}{2}}, 70-15\sqrt[]{\frac{53}{2}})$

Step-by-step explanation:

The y coordinate of the stream is given by $y = 4x^2+17x-32$ . Also, the y coordinate of the houses are determined by y=-15x+10. We will assume that the houses are goint to be built on the exact position where we build the wells. We want to build the wells at the exat position in which both functions cross each other, so we have the following equation

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Recall that given the equation of the form $ax^2+bx+c=0$ the solutions are

$x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}$

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$x_1 = -4 -\sqrt[]{\frac{53}{2}}$

$x_2 = -4 +\sqrt[]{\frac{53}{2}}$

If we replace this values in any of the equations, we get

$y_1 = 70+15\sqrt[]{\frac{53}{2}}$

$y_2 = 70-15\sqrt[]{\frac{53}{2}}$

4 0

3 years ago

A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not all

german

Answer:

The following are the answer to this question:

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In the given question the numeric value is missing which is defined in the attached file please fine it.

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