In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
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Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.
120
times 12 - 360
it should give you the right answer if you solve the problem like that
Answer:
6 Meters long
Step-by-step explanation:
3+3=6
12-6=6
Answer:
slope = - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c (m is the slope and c the y- intercept )
Given
5x + y = - 9 ( subtract 5x from both sides )
y = - 5x - 9 ← in slope- intercept form
with slope m = - 5
Parallel lines have equal slopes, thus
The slope of a parallel line to the given equation is m = - 5
