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11Alexandr11 [23.1K]
4 years ago
12

What is the value of x? Enter your answer as a decimal.

Mathematics
1 answer:
dmitriy555 [2]4 years ago
7 0

Answer:

<h2>x = 67.5 ft</h2>

Step-by-step explanation:

ΔNPM and ΔABM are similar. Therefore the sides are in proportion:

\dfrac{AM}{NM}=\dfrac{BM}{PM}

We have

AM=71.5\ ft-22\ ft=49.5\ ft\\NM=71.5\ ft\\BM=x\\PM=97.5\ ft

Substitute:

\dfrac{49.5}{71.5}=\dfrac{x}{97.5}       <em>cross multiply</em>

71.5x=(49.5)(97.5)

71.5x=4826.25           <em>divide both sides by 71.5</em>

x=67.5

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Suppose M is the midpoint of line FG. Use the given information to find the missing measure or value.
tangare [24]
If it is the midpoint, then FG= FM+MG


Also, this means that they are of equal lenght, so

FM=MG
<span>5y + 13= 5-3y
5y+3y=5+13
8y=18
y=\frac{18}{8}=2.25
</span>
which means that the two halves are equal to 5y+13=5*2.25+13=24.25

and FG is double the lenght:

24.25*2=49


8 0
3 years ago
Find the range of values for which<br> x2 - 6x + 8 &lt; 0
Alex73 [517]

Answer:

Step-by-step explanation:

Factor

x^2-6x+8<0

(x-2)(x-4)<0

For this to be less than zero the factors must have opposite signs.

x>2 and x<4

2<x<4

So x is all real numbers between 2 and 4 or in interval notation

x=(2,4)

5 0
3 years ago
Kelly is 3 years younger than her sister. The sum of their ages is 34 years. How old is Kelly and how old is her sister? AN EQUA
KiRa [710]
Kelly's sister is x years old.
Kelly is 3 years younger than her sister, so Kelly is x - 3 years old.
The sum of their ages is x + x - 3 = 2x - 3.
The sum of their ages is 34, so

2x - 3 = 34

2x = 37

x = 18.5 Kelly's sister's age.

x - 3 = 18.5 - 3 = 15.5 Kelly's age.

Kelly's sister is 18.5 years old.
Kelly is 15.5 years old.
5 0
3 years ago
Do any of y'all know how to do this I'm so confused and I need help ​plz show ur work btw
uranmaximum [27]

Answer:

I don't know the answer to the first one, but the second one's answer is 8.625

Step-by-step explanation:

1.5*2.5 + 1.5*2.5 + (1.5*1/5)/2 = 3.75 + 3.75 + 2.25/2 =

7.5 + 1.125 = 8.625

4 0
3 years ago
Could you give me the answer and not a file that gives me the answer?
Andrej [43]

Answer:

y=3x+1

Step-by-step explanation:

slope is 3 (up 3 over 1) and y-intercept is 1

8 0
3 years ago
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