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marin [14]
2 years ago
8

A student sets up the following equation to convert a measurement. Fill in the missing part of the equation

Mathematics
1 answer:
fomenos2 years ago
4 0

Answer:

We have the equation:

(14 N/mm)*X = Y N/cm

So we want to transform 1/mm to 1/cm.

We know that:

10mm = 1cm

1 = 10mm/1cm (we want to have mm on the numerator, so it cancelates with the mm in the denominator)

then the conversion is from 1/mm to 1/cm is:

X = 10mm/cm

then we have:

(14N/mm)*(10mm/cm) = 140 N/cm

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The measure of two opposite interior angles of a triangle are and. The exterior angle of the0x−14x+4triangle measures. Solve for
11111nata11111 [884]

Answer:

60 degrees

Step-by-step explanation:

Restructured question:

The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.

First you must know that the sum of interior angle of a triangle is equal to the exterior angle

Interior angles = x−14 and x+4

Sum of interior angles = x-14 + x + 4

Sum of interior angles = 2x - 10

Exterior angle = 3x - 45

Equating both:

2x - 10 = 3x - 45

Collect like terms;

2x - 3x = -45 + 10

-x = -35

x = 35

Get the exterior angle:

Exterior angle =   3x - 45

Exterior angle = 3(35) - 45

Exterior angle = 105 - 45

Exterior angle = 60

Hence the measure of the exterior angle is 60 degrees

<em>Note that the functions of the interior and exterior angles are assumed. Same calculation can be employed for any function given</em>

6 0
2 years ago
Find x and y. Give reasons to justify your solution. AB, CD, EF, and GH are straight lines.
8_murik_8 [283]

Answer:

X= 32 Y= 35

Step-by-step explanation:

We know FOB is parralel to AOE meaning x= 32

also, COH = 90 so GOD is also 90.

a straight angle is 180, so

23+90+x or 32= 145,

180-145=35,

y=35

6 0
3 years ago
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Hi!
I think Grace needs to wash at least 6 cars. Please tell me if I'm wrong.

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How many quarts are in 40 gallons
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To find out how many quarts there are in 40 gallons, we simply need to know how many quarts there are in one gallon. As the name implies, there are 4 quarts in one gallon, so we simply need to multiply 4 * 40 to find the amount of quarts in 40 gallons.

4 * 40 = 160

There are 160 quarts in 40 gallons.
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3 years ago
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12×2+7x=<br>I need help understanding why the x is there
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12*2+7(x) you need to solve for x
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