Lyndon should spend $38.05 or more to get a free T-shirt.
We have to find the statement best represents all of the amounts he can spend to get a free T-shirt
Suppose that the amount Lyndon get free T shirt is x.
Given that a clothing store offers a free T-shirt when a customer spends $75 or more.
Lyndon has already spent $36.95.
To find the value of x,
Solve above inequality
Therefore,
Lyndon should spend $38.05 or more to get a free T-shirt
To learn more about the amounts he can spend to get a free visit:
brainly.com/question/25537936
<ACB and <BCD are supplementary angles
Sum of supplementary angles = 180
Given <ACB = 65
<ACB + <BCD = 180
65 + <BCD = 180
<BCD = 180 - 65
<BCD = 115
Answer
<BCD = 115
<h3>Answer: 6.95</h3>
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Explanation:
The reference angle is angle S = 41 degrees. The side opposite that (RT) is unknown and what we want to find. The adjacent side to the reference angle is TS which is 8 units long.
RT = x
TS = 8
The ratio of the opposite and adjacent side is equal to the tangent of the reference angle, so,
tan(angle) = opposite/adjacent
tan(41) = x/8
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We are given the value of tan(41) to be approximately 0.869, which means we will replace "tan(41)" with this decimal value and then isolate x by multiplying both sides by 8. This happens in the section below.
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tan(41) = x/8
0.869 = x/8
8*0.869 = 8*x/8
6.952 = x
x = 6.952
x = 6.95
RT = 6.95
Slope of AB=(2-3)/(1+1)=-1/2; AC=(-1-3)/(-3+1)=-4/-2=2; BC=(-1-2)/(-3-1)=-3/-4=3/4.
The product of two sides that are perpendicular is -1. Slopes of AB and AC are perpendicular so angle A is a right angle. ABC is a right-angled triangle.
I believe the answer is (4,3). Hope that helps.