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2 years ago

∠E∠E and ∠F∠F are vertical angles with m∠E=9x+12m∠E=9x+12 and m∠F=3x+24m∠F=3x+24 .

Mathematics

1 answer:

Mama L [17]2 years ago

3 0

Since ∠E and ∠F are vertical angles, they are congruent, meaning that m∠E = m∠F

Plugging in the equations that were originally given, we can form the equation 9x + 12 = 3x + 24

Subtract both sides of the equation by 3x

6x + 12 = 24

Subtract 12 from both sides

6x = 12

Divide both sides by 6

x = 2

This should be your answer. Have an awesome day! :)

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Drag numbers to show which are closest to ‐23 and 13 on the number line.

Drupady [299]

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3 years ago

Rewrite the following equation into the slope-intercept form y=mx+b.<br> y- 5 = -3(x - 12)

Norma-Jean [14]

Answer:

y = -3x + 41

Step-by-step explanation:

All you need to do is expand everything and solve for y.

y- 5 = -3(x - 12)

y - 5 = -3x + 36

y = -3x + 41

I hope this helped!

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3 years ago

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Region A has a total of 81,218,576 acres. Estimate the number of acres owned by the government in Region A. Choose the correct e

babunello [35]

Answer:

See Explanation

Step-by-step explanation:

Given

$Region\ A = 81218576$

Required

The acres owned by the government

The question is incomplete as the proportion (p) owned by the government is not given.

However, the formula to use is as follows:

$Govt = p * Region\ A$

Assume the proportion is 28%, the equation becomes

$Govt = 28\% * 81218576$

$Govt = 22741201.28$

<em>The acres owned by the government will be 22741201.28</em>

7 0

2 years ago

If the measure of ZB is 40°, what measures can ZA and

lubasha [3.4K]

Answer: 30° and 110°

55° and 85°

70° and 70°

The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:

= 180° - 40°

= 140°

Therefore,

30° + 110° = 140°

55° + 85° = 140°

70° + 70° = 140°

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1 year ago

On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 1

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Answer:

229.5 $cm^{2}$

Step-by-step explanation:

In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...

Ar = l * h

Ar = 11cm * 12cm

Ar = 132 $cm^{2}$

Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...

At = $\frac{h * b}{2}$

At = $\frac{15cm * 13cm}{2}$

At = $\frac{195cm^{2} }{2}$

At = 97.5 $cm^{2}$

Now we simply add both areas together to calculate the total area of the arrow...

132 $cm^{2}$ + 97.5 $cm^{2}$ = 229.5 $cm^{2}$

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2 years ago

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