If 1/4 of X is 16 what is 3/4 of x
2 answers:
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Answer:
Option A.
Step-by-step explanation:
see the attached figure with letters to better understand the problem
In this problem we have a triangle with a circle inscribed in it
so
step 1
Find the length side B.C
substitute the given values
step 2
Find the length side C.D
Remember that
therefore
step 3
Find the length side E.D
we know that
substitute the given values
step 4
Find the length side E.F
Remember that
therefore
step 5
Find the length side A.F
Remember that
therefore
step 6
Find the perimeter
THE QUESTION CAN BE WRITTEN AS THIS;
It is given that ∠ABC and ∠CBD are a____________ So, m∠ABC+m∠CBD=90° using the b____________. It is also given that m∠ABC=35°. Using the substitution property of equality, you have c________+ m∠CBD=90°. Therefore, using the subtraction property of equality, m∠CBD=55°
Answer:
a)COMPLIMENTARY ANGLE
b)DEFINITION OF COMPLEMENTARY ANGLES
c)35°+ m<CBD = 90 degrees.
Step by step Explanation:
a)It's given that <ABC and <CBD are (COMPLIMENTARY ANGLE)
We know that the Sum of Complementary angles equal to 90 degrees.Those angles don't have to be next to each other, just so long as the total is 90 degrees. That's why the Sum of m<ABC and m<CBD equals 90 degrees that is m<ABC + m<CBD = 90 degrees
b)using the (DEFINITION OF COMPLEMENTARY ANGLES) It is also given that m<ABC = 35 degrees.
c)Using substitution property of equality, you have (35°+ m<CBD = 90 degrees.)
If we subtract 35 from both sides, we get 35-35+ m<CBD = 90-35.
Therefore, m<CBD = 55 degrees.
PLEASE CHECK THE ATTACHED FIGURE TO SEE HOW THE QUESTION LOOKS LIKE
