This is the concept of algebra, we are required to subtract the complex numbers. Thus;
(5-2i)-1(1+8i)
opening the brackets using the distributive property we get:
5-2i-1-8i
collecting the like terms we get:
5-1-2i-8i
=4-10i
the answer will therefore be:
4-10i
Based on the CPCTC theorem, the congruences that are true about the given triangles are:
B. ∠K ≅ ∠S
C. KL ≅ ST
D. JK ≅ RS
<h3>What is the CPCTC Theorem?</h3>
According to the CPCTC theorem states that if two triangles are congruent to each other, then, all their corresponding parts will be congruent to each other.
Given that triangles JKL and RST are congruent to each other, therefore:
∠J ≅ ∠R
∠K ≅ ∠S
∠L ≅ ∠T
JK ≅ RS
KL ≅ ST
JL ≅ RT
Therefore, the congruences that would be true by CPCTC are:
B. ∠K ≅ ∠S
C. KL ≅ ST
D. JK ≅ RS
Learn more about the CPCTC theorem on:
brainly.com/question/14706064
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Answer:
1 over 400
Step-by-step explanation:
I think it is 3 over 1200. I think you can divide the 1200 by 3.
The perimeter of the rectangle is 2(2x+5), and the perimeter of the triangle is x+7+x+4+x+11, which simplifies to 3x+22.
Therefore...
3x+22=4x+10
x=12
The perimeter of the rectangle is 2(2(12)+5)=2(24+5)=2(29)=48.
a. x=12
b. The perimeter of each figure is 48.
