To find <ABC, the first thing you would need to do is to find angle DBA and the value of x
As <DBE is a right angle, <DBE is on the same straight line as well,meaning that it would be 90° , a right angle as well.
It also mean that the total sum of the angles unknown would be 90°
To find x,we need to set up an equation:
(2x+14)+ (x+7) = 90
3x+21 = 90
3x = 69
x = 23
Thus,<ABC would be
(23)+7
=30°
Hope it helps!
Problem 13
10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get
10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q
so we get the original expression again. Here 10 is the GCF of the two terms.
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Plug p = 1 and q = 2 into the factored form
10*(p+q) = 10*(1+2) = 10*(3) = 30
As a check, let's plug those p,q values into the original expression
10*p+10*q = 10*1+10*2 = 10+20 = 30
We get the same output of 30
