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Olenka [21]
2 years ago
5

Consider the triangle below.

Mathematics
1 answer:
Pepsi [2]2 years ago
7 0

The measure of angle P is 29 degrees

The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:

  • m<M = 15x + 5
  • m<N = 3x + 2
  • m<P = 5x - 11

Taking the sum and equating to 180 degrees:

m<M + m<N + m<P = 180 degrees

15x + 5 + 3x + 2 + 5x - 11 = 180

23x - 4 = 180

23x = 184

x = 184/23

x = 8

Get the measure of m<P

m<P = 5x - 11

m<P = 5(8) - 11

m<P = 40 - 11

m<P = 29 degrees

Hence the measure of angle P is 29 degrees

Learn more on angles here: brainly.com/question/25770607

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Answer:

An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x.

Step-by-step explanation:

The inverse function returns the original value for which a function gave the output. ... A function that consists of its inverse fetches the original value.

Example : f(x) = 2x + 5 = y. Then, g(y) = (y-5)/2 = x is the inverse of f(x).

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Go to Symbolob.com

Step-by-step explanation:

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The triangle has an area of 7-7/8 cm² and a base of 5-1/4 cm. What is the length of h? Explain your reasoning.
navik [9.2K]

Answer:

3

Step-by-step explanation:

The equation for the area of a triangle is A=1/2(b)(h)

we have the area and the base, so we plug those values in resulting in 7 7/8=1/2(5 1/4)(h)

From there, we solve. Multiply 5 1/4 by 0.5, resulting in 2.625

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4 0
2 years ago
Bridget goes to the mall and buys a shirt for $15.50, a pair of jeans for $32.00, and a belt for $24.30. She has a coupon and en
Bas_tet [7]

Answer:

20%

Step-by-step explanation:

Cost of Shirt = $15.50

Cost for a pair of jeans = $32.00

Cost for a belt = $24.30

Total cost = $15.50 + $32.00 + $24.30 = $ 71.8

Given that, coupon discount = $14.36

To find:

The percentage off on the coupon.

Solution:

The percentage off will be calculated on the total cost.

\text{Percentage\ off} = \dfrac{Coupon\ discount}{Total\ Cost}\times 100\\\Rightarrow \text{Percentage\ off}= \dfrac{14.36}{71.8}\times 100\\\Rightarrow \text{Percentage\ off} = 0.2\times 100\\\Rightarrow \text{Percentage\ off} = \bold{20\%}

Therefore, the answer is:

<em>20%</em>

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