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lord [1]
2 years ago
8

Angle A and angle B form a vertical angle pair. The measure of angle A is six less than twice times the measure of angle B. Find

the measure of each angle.
Mathematics
1 answer:
Studentka2010 [4]2 years ago
8 0

Angle A and Angle B are vertical angle pairs. The measure of angle A and B are equal because they are vertical pairs. Therefore, the measure of each angle is 6 degrees.

<h3>What is vertical angles?</h3>

Vertical angles are a pair of opposite angles formed by intersecting lines.

Vertical angles are congruent to each other . Vertical angles share the same vertex.

Therefore, angle A and angle B are congruent because they are vertical angle pair.

Therefore,

∠A≅∠B

let

∠B = x

Therefore,

∠A = 2x - 6

Therefore,

x = 2x - 6

x - 2x = - 6

-x = - 6

x = 6

The measure of each angle is 6 degrees.

learn more on vertical angles here: brainly.com/question/14753399

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masya89 [10]

12 customers = 9 mins

1 customer = 9 ÷ 12 = 3/4 min

4 customers = 3/4 x 4 = 3 mins

Answer: 3 mins

4 0
3 years ago
A barrel of crude oil contains about 5.61 cubic feet of oil. How many barrels of oil contained in 1 mile (5280 feet) of a pipeli
8_murik_8 [283]
1)volume of the  pipeline

The pipeline is a cylinder, therefore;
Volume (cylinder)=πr²h
r=radius
h=height of the cylinder

diameter=6 in*(1 ft / 12 in)=0.5 ft
raius=diameter / 2=0.5 ft / 2=0.25 ft.
height=5280 ft

Volume (pipeline)=π(0.25 ft)²(5280 ft)=330π ft³≈1036.73 ft³.


2) we calculate the number of barrel
1 mile of oil in this pipeline is 330π ft³ of oil.

1 barrel of crude------------------5.61 ft³
x----------------------------------330π ft³

x=(1 barrel*330π ft³) / 5.61 ft³=184.8 barrels

3) we calculate the price.

1 barrel---------------$100
184.8 barrels----------  x

x=(184.8 barrels * $100) / 1 barrel=$18,480

Solution: ≈$18,480
6 0
3 years ago
A rectangle has a length of x+2, a width of 7, and a perimeter of 32. The value of x is ?
beks73 [17]
Perimeter = sum of all sides

32 = 2(x+2) + 2(7)
32 = 2x+4 + 14
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14 = 2x
 /2     /2

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4 0
3 years ago
Read 2 more answers
A fund earns a nominal rate of interest of 6\% compounded every two years. Calculate the amount that must be contributed now to
Nesterboy [21]

Answer:

$712.

Step-by-step explanation:

We have been given that a fund earns a nominal rate of interest of 6% compounded every two years. We are asked to find the amount that must be contributed now to have 1000 at the end of six years.

We will use compound interest formula to solve our given problem.

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,  

n = Number of times interest is compounded per year,

t = Time in years.

6\%=\frac{6}{100}=0.06

Since interest is compounded each two years, so number of compounding per year would be 1/2 or 0.5.

1000=P(1+\frac{0.06}{0.5})^{0.5*6}

1000=P(1+0.12)^{3}

1000=P(1.12)^{3}

1000=P*1.404928

\frac{1000}{1.404928}=\frac{P*1.404928}{1.404928}

P=711.7802478

P\approx 712

Therefore, an amount of $712 must be contributed now to have 1000 at the end of six years.

7 0
3 years ago
Suppose you have 20 coins that total $4.00. Some coins are nickels and some are quarters. Which of the following pairs of equati
crimeas [40]
A. n+q=45n+25q=20. That should be the correct answer
5 0
3 years ago
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