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vlabodo [156]
3 years ago
8

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

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

37.89051724=x

Step-by-step explanation:

We can use similar triangles and proportions to solve.  Put the same side of the small triangle over the large triangle.

MA         MB

------- = ----------

MN         MP

80.5 -35         x

------------- = ----------

70.5               96.6 -x

Simplifying

45.5             x

------------- = ----------

70.5               96.6 -x

Using cross products

45.5 (96.6-x) = 70.5x

Distribute

4395.3 - 45.5 x = 70.5x

Add 45.5x to each side

4395.3 - 45.5 x+45.5x = 70.5x+45.5x

4395.3 = 116x

Divide each side by 116

4395.3/116 = 116x/116

37.89051724=x

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3 0
3 years ago
Read 2 more answers
Write an equation of the line that is perpendicular to the line y =
pogonyaev

Answer:

c) y= -3x + 3

Step-by-step explanation:

Given equation

y= 1/3x+6

Here slope m1 = 1/3

We know that the slope of perpendicular lines

m1*m2 = -1

slope of perpendicular line m2 = -1/m1

                                                    = -1/ (1/3)

                                              m2 =  -3

Also the line passes through (2, -3)

equation of line is given by y = mx+b

y= -3

x=  2

m2 = -3

Applying above values to the equation of line,

-3 = (-3*2)+b

b=3

Hence equation of perpendicular line is y = -3x + 3

6 0
2 years ago
Later, Alexis is looking at a different set of coins: this time only dimes and nickels. She has twice as many nickels as dimes,
musickatia [10]

9514 1404 393

Answer:

  • 16 dimes
  • 32 nickels

Step-by-step explanation:

Consider a group of 1 dime and 2 nickels. The value of it is 0.20. The total value of all such groups is 3.20, so there must be ...

  3.20/0.20 = 16 . . . . . groups of coins

That is, there are 16 dimes and 32 nickels.

5 0
2 years ago
A rectangular tank is 39feet long, 25 feet wide 18 feet high there is 11 feet of water in the tank if a valve is open at the bot
Aliun [14]

Answer:

1596.2 ft/m

Step-by-step explanation:

<u>Data</u>

  • height of water, h = 11 ft
  • acceleration of gravity, g = 32.17 ft/s²

Given that 60 seconds are equivalent to 1 minute:

g = 32.17 ft/s² * 60² s²/1 min² = 115812 ft/min²

From Bernoulli's theorem:

velocity = √(2gh)

velocity = √(2*115812*11)

velocity = 1596.2 ft/m

5 0
3 years ago
Emilio has 5 bags of birdseed. Each bag has about 28 ounces of birdseed. If he divides the birdseed equally into 3 containers, a
tigry1 [53]

Answer:

46.66 or if rounded 46.7

Step-by-step explanation:

First you want to do 28x5 that would get you 140

Then, you divide 140 by 3. That would get you ur answer, Hope this helped!! :)

3 0
2 years ago
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