The measure of the angle ∠ABD is 64 degrees
<h3>How to determine the measure of the angle?</h3>
From the question, we have the following parameters:
Ray BA bisects ∠CBD
∠CBD = 5x + 18
∠ABC = 3x - 2
Because of the bisection, we have
∠ABC = ∠ABD
∠ABC * 2 = ∠CBD
Substitute the known values in the above equation, so, we have the following representation
(3x - 2) * 2 = 5x + 18
Open the brackets
6x - 4 = 5x + 18
Evaluate the like terms
x = 2
Recall that
∠ABC = ∠ABD
So, we have
∠ABD = 3x - 2
This gives
∠ABD = 3 x 22 - 2
Evaluate
∠ABD = 64
Hence, the angle is 64 degrees
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X=-6
You plus in x as -6 and you already know that y=5x and you plug in x=-6
It should look like 2(-6)-5(-6)=18
Answer:
96 in²
Step-by-step explanation:
The surface area of the square pyramid is the area of the square base plus the area of the four triangular faces. The slant length is the height of each triangle.
A = s² + 4 (½ sL)
A = s² + 2sL
Given s = 6 and L = 5:
A = (6)² + 2(6)(5)
A = 36 + 60
A = 96
The area that needs to be painted is 96 in².
Answer:
81mn
Step-by-step explanation:
3 to the power of 3 is 81
Answer:
and 
Step-by-step explanation:
21/35 and 10/35. This pair of fractions is equivalent to this pair: 3/5 and 2/7.
