Answer:
8.9k
Step-by-step explanation:
We just have to add together the length of the three sides to find the perimeter of the triangle.
(1.8k-5)+(3.5+6.1k)+(k+1.5) = 1.8k-5+3.5+6.1k+k+1.5
Combine like terms.
1.8k<em>-5+3.5</em>+6.1k+k<em>+1.5</em> = 8.9k <em>+ 0 </em>
= 8.9k
Answer:
6
Step-by-step explanation:
By the exterior angle theorem,
(4x - 4) + 40 = 60
4x - 4 = 20
4x = 24
x = 6
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
Read more about angles at
brainly.com/question/7620723
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[I think you wrote the question wrong] -5 multiplied by -4 equals 20 and -5 and -4 equals -9
