Answer:

Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values

solve for x
Combine like terms

Group terms



Find the measure of angle CDE

substitute the value of x

Answer:
4x³ + 14x² + 8x + 6
Step-by-step explanation:
Perimeter = 2(L + W) = 2(7x² + 4x + 3 + 2x³) = 14x² + 8x + 6 + 4x³
4x³ + 14x² + 8x + 6
Given:
Radius = 5 ft
To find:
The volume of the sphere
Solution:
Volume of the sphere:




The volume of the sphere is 524 ft³.
Answer:
- as written, -57
- as perhaps intended, C. -11
Step-by-step explanation:
The expression shown evaluates as ...
7 + 32(-5 +1)/2 = 7 +32(-4)/2 = 7 -128/2 = 7 -64 = -57
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If we assume your "32" is supposed to be 3², or 3^2, then the expression evaluates differently:
7 +3²(-5 +1)/2 = 7 + 9(-4)/2 = 7 -36/2 = 7 -18 = -11 . . . . matches choice C
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When in doubt, you can have the Google calculator evaluate your expression. However, you do have to write it properly and with all the required parentheses.
Answer:
I belive the regular price is $25.20
Step-by-step explanation:
hope that helps :))