Step-by-step explanation:
Actual graph for this problem is attached below
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
m∠TUV=
m∠TUL+
m∠LUV
now plug in the angles for each
m∠TUV=
m∠TUL+
m∠LUV

solve the equation for x

Subtract 11 from both sides

divide both sides by 12
x=13
m∠TUL = (x + 11)°
m∠TUL = (13+ 11)°
= (24)°
answer:
24°
The number property that will justify the step in the following expression. 2(5 • 17) = (2 • 5) 17 = 10 • 17 = 170 is; Associative Property
<h3>What is the Number Property that was used?</h3>
The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.
Now, this associative property is used here because we see that;
2(5 • 17) = (2 • 5) 17
In both left and right hand sides we see that despite the change in order, the result remains the same.
Read more about Number Property at; brainly.com/question/24792133
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Answer:
x2 = y2/m - y1/m + x1
Step-by-step explanation:
Expand
y2 - y1 = mx2 - mx1
Rearrange
y2 - y1 + mx1 = mx2
Divide both sides by m to make x2 on its own
y2/m - y1/m + x1 (m's cancel out) = x2
Hence:
x2 = y2/m - y1/m + x1
Answer:
about 2714.34 in^3
Step-by-step explanation:
24/2=12--radius
12/2=6--height
formula is V=(pi)(r^2)(h)
r is for radius and h is for height
V=(pi)(12*12)(6)
V=(pi)(144)(6)
V=(pi)(864)
V= about 2714.34 in^3