cschellfamily
27.02.2021 •
Mathematics
SOS! Please help!
10. Francesca decides that, instead of gluing her photo on top of a mat, she will buy a mat that goes over her photograph and then place the photo and mat in a frame.
This type of mat has a rectangular hole in the center. The hole is exactly the size of the photograph. Find the polynomial expression for the area of this mat. Explain your method.
(4 points: 3 points for finding the expression and 1 point for the explanation of the method)
The photograph is 4x6 in.^2, the mat is supposedly 60 in.^2 (minus the cutout for the picture). Any help would be appreciated!!!
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Ответ:
X is equal to 55.
Step-by-step explanation:
You can determine that the triangle is an isosceles triangle because of its side lengths.
Therefore you know that value of the angle it's not asking for is also x. Since a triangle's angles always measures 180. You can say that 180 = 70 + 2x.
You can now solve for x.
180 = 70 + 2x
-70 -70
110 = 2x
2
55 = x