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s2008m [1.1K]
3 years ago
6

Determine the measures of the unknown angles in the figure.

Mathematics
2 answers:
Leni [432]3 years ago
6 0

Answer:

angle APD=115 degrees

angle CPE=25 degrees

angle BPD=65 degrees

Step-by-step explanation:

APD=180-65=115 because it is supplementary

CPE=90-65=25 because it is complementary

BPD=65 because it is an alternate angle

ipn [44]3 years ago
6 0

Answer:

m < APD =115

m < CPE =25

m < BPD =65

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$37.5

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3 years ago
A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct
KatRina [158]
<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

          Perimeter=2(L+\sqrt{100-L^2})

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

10=\sqrt{L^2+W^2}

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

W=\sqrt{100-L^2}

Now, we know that the Perimeter of a rectangle is given by:

Perimeter=2(L+W)

Here we have:

Perimeter=2(L+\sqrt{100-L^2})

7 0
3 years ago
Khan academy assignemnt
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Answer:

(7,3)

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difference is 4.5x and -.5y

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7 0
2 years ago
Read 2 more answers
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