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ch4aika [34]
2 years ago
15

Solve for A HELP ASAP!!

Mathematics
1 answer:
Rasek [7]2 years ago
6 0

Answer: ∠A=144°

Step-by-step explanation:

∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.

10x+24=6x+72          [subtract both sides by 6x]

4x+24=72                  [subtract both sides by 24]

4x=48                         [divide both sides by 4]

x=12

Now that we found x, we need to plug it into ∠A.

10(12)+24=120+24=144

We know that ∠A=144°.

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I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Savatey [412]

Answer:

f(x) = g(x-9)

Step-by-step explanation:

8 0
2 years ago
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Factor the following problems<br><br> -13=-4a-2b+c<br> 3=4a+2b+c<br> 5=16a+4b+c<br><br> Please Help!
Pie
1) -13 = -4a - 2b + c
 -13 = -2(2a + b) + c

2) 3 = 4a + 2b +c
  3 = 2(2a + b) + c

3) 5 = 16a + 4b + c
5 = 4(4a + b) + c

[ Final Answers are in bold ]

Hope this helps!
8 0
2 years ago
The distance from Earth to the moon is 2.4 × 105 miles. The distance from Earth to the sun is 9.3 × 107 miles. Complete the sent
Liono4ka [1.6K]

Answer:

Distance = 9.276 * 10^7 miles

Step-by-step explanation:

Given

Earth\ to\ Moon = 2.4 * 10^5 miles

Earth\ to\ Sun = 9.3 * 10^7 miles

Required

Difference in the distance of earth to sun to the distance of earth to moon

This can be solved using:

Distance = Earth\ to\ Sun - Earth\ to\ Moon

Distance = 9.3 * 10^7 - 2.4 * 10^5

Express 10⁷ as 10⁵ * 10²

Distance = 9.3 * 10^5 * 10^2 - 2.4 * 10^5

Factorize:

Distance = 10^5(9.3 * 10^2 - 2.4)

Solve the expression in the bracket

Distance = 10^5(9.3 * 100 - 2.4)

Distance = 10^5(930 - 2.4)

Distance = 10^5(927.6)

Distance = 927.6 * 10^5

Expand 927.6

Distance = 9.276 * 10^2 * 10^5

Distance = 9.276 * 10^{2+5}

Distance = 9.276 * 10^7

3 0
3 years ago
A bus​ averages 8 miles per hour faster than a trolley. If the bus travels 60 miles in the same time it takes the trolley​ to tr
hammer [34]

Answer:

Bus speed:  22 mph; Trolley speed:  14 mph

Step-by-step explanation:

Let rb represent the speed of the bus and rt the speed of the trolley.  Then rb = rt + 8 (mph).

Recall that distance = rate times time.  Two different distances and two different speeds are involved here, but only one time.

Thus,

             60 mi                                                           44 mi

     --------------------- = time (same in both cases) = -------------

          rt + 8 mi/hr                                                        rt

Cross-multiplying, we get   44rt + 8(44) = 60 rt, or

                                                    352 = 16rt.

Solving this for rt, we get    rt = speed of bus = 352/16 = 22 mph

The speed at which the bus travels is 22 mph and that at which the trolley travels is (22 mph - 8 mph) = 14 mph

3 0
3 years ago
Answer pls 10pts.........................
AlladinOne [14]

Answer:

7x + 4 = 5x + 16 \\ 7x - 2x = 16 - 4 \\ 5x = 12 \\ x = 2.4

\\ y + 6  + (7x + 4) = 180 \\ y + 6 + 7 \times 2.4 + 4 = 180 \\  \\ y + 17 + 16.8 = 180 \\ y + 33.8 = 180 \\ y = 180 - 33.8 \\ y = 146.2

5 0
2 years ago
Read 2 more answers
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