If <span>ZW is an altitude of △XYZ, then m</span>∠ZWY = 90°
3a + 5 + 5a + 13 = 90
8a + 18 = 90
8a = 72
a = 72/8
a = 9
<span>m∠ZWT = 3a + 5 = 3*9 + 5 = 27 + 5 = 32</span>°
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
the perimeter of a rectangle is given by the following equation:
if a rectangle has a perimeter of 76cm and its length is 5 plus the double of its width we can use a system of equations to find the length 
, and the width 
.
For the perimeter of the rectangle
where is its length, and is its width, 76 is the perimeter of the rectangle in cm.
We know that the lengh of the rectangle is 5 plus the double of its width, writing the equation:
Substituting the equation above in
We got that the rectangle width is w=11cm
Substituting w in the equation
We got that the rectangle length is l=27cm
Verifying the values obtained
with l=27 and w=11
Satisfying the equation
Answer:
- shortest: 3 ft
- other: 4 ft
Step-by-step explanation:
The right triangle with hypotenuse 5 that has legs that differ by 1 is the 3-4-5 right triangle. The legs are 3 ft and 4 ft.
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<em>Alternate solution</em>
If you have never heard of a 3-4-5 right triangle, you can figure the leg lengths algebraically using the Pythagorean theorem. Let x represent the length of the "other" leg. Then the shortest is (x-1). The Pythagorean theorem tells you ...
5^2 = (x)^2 +(x -1)^2
25 = 2x^2 -2x +1
12 = x^2 -x = x(x -1)
Factors of 12 that differ by 1 are 3 and 4 or -3 and -4. We want x to be positive, so the value of interest is x=4
The "other" leg is 4 ft; the shortest leg is 3 ft.
Answer:
+x=-y
Step-by-step explanation:
