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expeople1 [14]
3 years ago
9

In triangle XYZ, the length of side XY is 23 mm and the length of side YZ is 36 mm. Which of the following could be the length o

f side XZ?
A.
11 mm
B.
61 mm
C.
64 mm
D.
43 mm
Mathematics
1 answer:
svlad2 [7]3 years ago
7 0
Answer: The correct answer is Choice D, 43 mm.

When you know 2 sides of a triangle, you can find the range for the final side of the triangle. 

First, if we subtract 36 - 23 = 13, the third leg must be more than 13. Otherwise, the two smaller legs would not meet to make the third leg.

Second, if we add 36 + 23 = 59, the third leg must be less than 59. Otherwise, the third leg would reach further than the other two legs could reach.

43 is the only number larger than 13 but smaller than 59 in our list.
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You go to a steakhouse for dinner and the meal cost $10.35. If you have a coupon for 10% off your meal, what is the bill for din
egoroff_w [7]

Answer: $9.32

Step-by-step explanation:

10.35 - 1.035 = 9.32

7 0
2 years ago
Ethan wants to put a fence around his vegetable garden. The garden is 30 feet wide and 15 feet long. If the total cost of the fe
OverLord2011 [107]
If the garden is square, then the perimeter would be 90. 15(2)+30(2)=90
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7 0
2 years ago
an angle measures 24° less than the measure if a supplementary angle . what is the measure of each angle​
vagabundo [1.1K]

Hey there!

If two angles are supplementary, that means that the measures of the two angles have a sum of 180.

If the two angles were of equal measure, they would both be 90 degrees.

The easiest way to get this would be to subtract 12 degrees from one 90 degree angle and add them to the other 90 degree angle so one angle has 24 more degrees then the other.

90 - 12 = 78

90 + 12 = 102

Let's check to make sure this works.

102 + 78 = 180 That checks out.

102 - 24 = 78 That also works.

So, the measures of the angles are 102 and 78.

Hope this helps!

4 0
3 years ago
What is the slope of the line which passes through (2,5) and (3, 6)?
Varvara68 [4.7K]

Answer:

1

Step-by-step explanation:

Gradient (slope) = change in y / change in x

(6-5) / (3-2) = 1/1 = 1

The gradient is 1

5 0
3 years ago
Find the length of a square with an area of 169 in2.
mrs_skeptik [129]

Find the length of a side of a square with an area of 169 in^2.

Answer:

D. 13 in

Step-by-step explanation:

A square has sides of equal length.

A = L^2 where:  A = area  and  L = side

L^2 = 169

L=√169

L=13 in^2.    

6 0
3 years ago
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