Answer:
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Answer:
m∠R = 39 degrees
Step-by-step explanation:
As complementary angles add up to 90 degrees, we can set up an equation to get x then find the measure of ∠R:
m∠R + m∠S = 90
2x+7+4x-13=90
6x+7-13=90
6x-6=90
6x=96
x=16
Since m∠R = (2x+7), 2x+7 would be 2(16)+7 or 39 degrees. So in conclusion, m∠R = 39 degrees
Answer:(f*g)(x)= 21x^2 -29x -10
Step-by-step explanation:
(3x-5)(7x+2)
21x^2-35x+6x-10
21x^2-29x-10
The expression for the greatest common factor of 20 and 30 using the distributive property is 10(2 + 3)
Pounds of ice = 20
Number of cups = 30
The relation for the distributive property :
a × (b + c)
Expand ;
a × (b + c) = (a × b) + (a × c) = ab + ac
Finding the greatest common factor of 20 and 30 ;
(2 × 10) + (3 × 10)
According to the distributive property
(2 × 10) + (3 × 10) = 10(2 + 3)
Therefore, the expression for the greatest common factor is 10(2 + 3)
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