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Ilia_Sergeevich [38]
3 years ago
14

∠A and \angle B∠B are vertical angles. If m\angle A=(7x-6)^{\circ}∠A=(7x−6)

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

keeping in mind that vertical angles are always congruent.

\stackrel{\measuredangle A}{7x-6}~~ = ~~\stackrel{\measuredangle B}{8x-27}\implies -6=x-27\implies 21=x~\hfill \underset{\measuredangle B}{\stackrel{8(21)~~ - ~~27}{141}}

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A 30 ft wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle
suter [353]

Answer:

The correct answere would be 19 degrees after solving for the length of the wire plus the diagnal of the ground.

Step-by-step explanation:

8 0
3 years ago
Help I need step by step answer To the ones circled ASAP!!!!
swat32

Answer:

4. Multiply both sides by -2 => x - 7 = -36, Add 7 to both sides -> x = -29

5. Add 12 to both sides => 28 = 1/4x, then multiply both sides by 4 => 112

x = 112

7. Multiply both sides by 3 => 5x - 2 = 63, add 2 to both sides => 5x = 65,

Divide both sides by 5 -> x = 13

10. Multiply both sides by 6 => 132 = 3x - 6, Add 6 to both sides => 138 = 3x,

Divide both sides by 3 => x = 46

Step-by-step explanation:

3 0
3 years ago
The sum of two numbers is 26. Four less than four times the smaller number is equal to the larger number x. Find the larger numb
Svet_ta [14]
Hey there!

This question just wants you to create an equation and solve. In this case, the larger number is equal to x. To find the smaller number, we would need to multiply x by 4 and subtract 4 from it. This means that the smaller number is equal to (4x – 4). You add the two numbers, x and (4x – 4), to get 26. Your final equation is:

x + (4x – 4) = 26

Now, just solve. 

x + 4x – 4 = 26
(5x – 4) + 4 = (26) + 4
(5x) ÷ 5 = (30) ÷ 5
x = 6

Finally, just plug in 6 for both numbers to get your answer. 

(6) + (4(6) – 4) = 26
6 + 20 = 26

Your two numbers are 6 and 20. 

Hope this helped you out! :-)
3 0
3 years ago
The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slop
LekaFEV [45]

Answer:

a. The slope is 5/4

b. The equation in slope and intercept form is y = 5/4·x + 12

c. The base cost of making a fruit juice is $12

Step-by-step explanation:

The equation that gives the cost in dollars of making your own fruit juice is given as follows;

y - 2 = 5/4·(x + 8)

a. The slope = The coefficient of x = 5/4

The slope = 5/4

b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;

y - 2 = 5/4·(x + 8)

y = 5/4·x + 10 + 2

y = 5/4·x + 12

c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12

The base cost of making a fruit juice = $12.

6 0
3 years ago
Josh has a collection of 110 comic books. Eighty-two of the comic books feature superheroes. What percent of the comic books fea
IceJOKER [234]
So,

Josh has 110 comic books total, and 82 of them feature superheroes.  To find the percentage, just divide 82 by 110.

\frac{82}{110} = \frac{2*41}{2*5*11} = \frac{41}{55}

\frac{41}{55}=0.7\overline{45}

To convert to a percent, just move the decimal place two places to the left and add a percent sign.

0.7\overline{45} --\ \textgreater \ 74.\overline{54}\ percent

Rounding, we get:

75%

So about 75% of Josh's comic books feature superheroes.
7 0
3 years ago
Read 2 more answers
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