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Mrrafil [7]
3 years ago
14

What is the angle of rotation about the center that will map the regular pentagon onto itself

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0

Answer:

I think c 430 and if it is wrong I'm so sorry

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A taxi driver had 27 fares to and from the airport last Monday. The price for a ride to the airport is $14, and the price for a
OLga [1]

Answer:

(15, 12)

Step-by-step explanation:

Let's generate two systems of equations that fit this scenario.

Number of trips to the airport = x

Number of trips from the airport = y

Total number of trips to and from the airport = 27

Thus:

x + y = 27 => equation 1.

Total price for trips to the Airport = 14*x = 14x

Total price of trips from the airport = 7*y = 7y

Total collected for the day = $294

Thus:

14x + 7y = 294 => equation 2.

Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.

7 × x + y = 27

1 × 14x + 7y = 294

Thus:

7x + 7y = 189 => equation 3

14x + 7y = 294 => equation 4

Subtract equation 4 from equation 3

-7x = -105

Divide both sides by -7

x = 15

Substitute x = 15 in equation 1

x + y = 27

15 + y = 27

Subtract both sides by 15

y = 27 - 15

y = 12

The ordered pair would be (15, 12)

7 0
3 years ago
Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each co
Karolina [17]

Hello There!

<u><em>n - d = 0</em></u>

<u><em>5n+10d = 90</em></u>

<u><em>----------------------</em></u>

<u><em>n-d = 0</em></u>

<u><em>n+2d = 18</em></u>

<u><em>-------------------</em></u>

<u><em>Subtract and solve for "d":</em></u>

<u><em>3d = 18</em></u>

<u><em>d = 6 (# of dimes)</em></u>

<u><em>n = d = 6 (# of nickels)</em></u>

8 0
3 years ago
The perimeter of a triangle is 53 feet. One side of the triangle is 12 feet shorter than the second side. The third side is is 4
grandymaker [24]

Let the shortest side be = a, then side b = 2·a and side c = (b + 24)

We are given that a + b + c = 84

Substituting for b and c

a + 2·a + (a + 24) = 84

4·a + 24 = 84

4·a = 84 - 24 = 60

a = 60/4 = 15 feet

b = 2·15 = 30 feet

c = 15 + 24 = 39 feet


sorry if i am wrong

6 0
3 years ago
Read 2 more answers
What's the slope of the line passing through points (7,-7) and (1,-4)?
GrogVix [38]
(-4-(-7)) / (1-7) = (3) / (-6) = -1/2 = slope
4 0
3 years ago
What is the value of x?
uranmaximum [27]

Answer:

x=\frac{160-51}{2} =54.5°

Step-by-step explanation:

"Theorem 9-13: The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs."

Basically no matter what other circle, secant or tangent you get, you just use the formula Outer\angle=\frac{far.point - near.point}{2}

If you need the outer angle, just put the other angles in and solve

If you need the far or near point angle, re-arrange the formula to get that value.

6 0
2 years ago
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