Answer:
The answer is B.
Step-by-step explanation:
Graph it on Desmos.
<h2><u><em>
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Answer:
x= 7
Step-by-step explanation:
11x-2 = 75
11(7) - 2
77 - 2 = 75
x= 7
9514 1404 393
Answer:
- sides: 12 feet
- front: 28 feet
Step-by-step explanation:
Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...
P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle
80 = 2(x + (2x+4)) . . . . . with values from the problem filled in
40 = 3x +4 . . . . . . . . divide by 2, collect terms
36 = 3x . . . . . . . . . subtract 4
12 = x . . . . . . . . . divide by 3. This is the length of the side fence.
2x +4 = 2(12) +4 = 28
The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)
Answer:
m∠N = 51°
m∠M = 31°
m∠O = 98°
Step-by-step explanation:
It is given that ΔMNO is an isosceles triangle with base NM.
m∠N = (4x + 7)° and m∠M = (2x + 29)°
By the property of an isosceles triangle,
Two legs of an isosceles triangle are equal in measure.
ON ≅ OM
And angles opposite to these equal sides measure the same.
m∠N = m∠M
(4x + 7) = (2x + 29)
4x - 2x = 29 - 7
2x = 22
x = 11
m∠N = (4x + 7)° = 51°
m∠M = (2x + 9)° = 31°
m∠O = 180° - (m∠N + m∠M)
= 180° - (51° + 31°)
= 180° - 82°
= 98°
