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Dmitriy789 [7]
3 years ago
14

What is the value of x?

Mathematics
1 answer:
ANEK [815]3 years ago
6 0

Answer:

x = 13

Step-by-step explanation:

5x + 25 must equal 7x - 1, because all of the angles in the figure are right angles.

Then 5x + 25 = 7x - 1, and

                  25 = 2x - 1, and so 2x = 26 and x = 13

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50%

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A car traveled 150 miles on 5 gallons of gas. Find the unit rate.
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2 years ago
Quadrilateral KLMN is a rectangle. The coordinates of L are L(1,-4), and the coordinates of Mare M(3,-2). Find the slopes of sid
lozanna [386]
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2

Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1

The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1

Slope of side KL = m KL = m MN = Slope of side MN

The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
(m KL) (1) = -1
m KL = -1 = m MN

Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1 
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3 years ago
The first figure is dilated to form the second figure.
ladessa [460]
The scale factor is 2.5
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2 years ago
Read 2 more answers
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