What is the value of x ?enter your answer as a decimal in the box

Mathematics

1 answer:

maksim [4K]2 years ago

4 0

Answer:

$x=67.5\ ft$

Step-by-step explanation:

we know that

Triangles MNP and MAB are similar by AAA theorem

If two figures are similar, then the ratio of its corresponding sides is equal

$\frac{MB}{MP}=\frac{MA}{MN}$

substitute the values

$\frac{x}{97.5}=\frac{71.5-22}{71.5}$

$\frac{x}{97.5}=\frac{49.5}{71.5}$

$x=97.5*\frac{49.5}{71.5}=67.5\ ft$

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Solve 3m+7/2=−2m+5/2 what is m

GenaCL600 [577]

Solve for m:3 m + 7/2 = 5/2 - 2 m
Put each term in 3 m + 7/2 over the common denominator 2: 3 m + 7/2 = (6 m)/2 + 7/2:(6 m)/2 + 7/2 = 5/2 - 2 m
(6 m)/2 + 7/2 = (6 m + 7)/2:(6 m + 7)/2 = 5/2 - 2 m
Put each term in 5/2 - 2 m over the common denominator 2: 5/2 - 2 m = 5/2 - (4 m)/2:(6 m + 7)/2 = 5/2 - (4 m)/2
5/2 - (4 m)/2 = (5 - 4 m)/2:(6 m + 7)/2 = (5 - 4 m)/2
Multiply both sides by 2:6 m + 7 = 5 - 4 m
Add 4 m to both sides:6 m + 4 m + 7 = (4 m - 4 m) + 5
4 m - 4 m = 0:6 m + 4 m + 7 = 5
6 m + 4 m = 10 m:10 m + 7 = 5
Subtract 7 from both sides:10 m + (7 - 7) = 5 - 7
7 - 7 = 0:10 m = 5 - 7
5 - 7 = -2:10 m = -2
Divide both sides of 10 m = -2 by 10:(10 m)/10 = (-2)/10
10/10 = 1:m = (-2)/10
The gcd of -2 and 10 is 2, so (-2)/10 = (2 (-1))/(2×5) = 2/2×(-1)/5 = (-1)/5:Answer: m = (-1)/5

5 0

3 years ago

Read 2 more answers

Solve the system: 2/x - 3/y =-5; 4/x + 6\y =14

sertanlavr [38]

The solution is $x = 2 \text{ and } y = \frac{1}{2}$