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Tresset [83]
3 years ago
15

If mAD = (17x + 2)°, mAC = (7x - 10°), and m∠ABC = (4x + 15)°, find m∠ABC Please help

Mathematics
1 answer:
goldenfox [79]3 years ago
4 0

Answer:

m<ABC  = 51degrees

Step-by-step explanation:

The angle at the vertex is half the difference of the angles at the intercepted arcs. Hence;

m<B = 1/2 (arcAD - arcAC)

<ABC = 1/2(17x + 2 -(7x - 10°))

4x + 15 = 1/2(17x-7x+2+10)

2(4x+15) = 10x+12

8x + 30 = 10x+12

8x-10x = 12-30

-2x = -18

x = 18/2

x = 9

Get m<ABC

m<ABC = 4x + 15

m<ABC = 4(9) + 15

m<ABC = 36 + 15

m<ABC  = 51degrees

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How do change 13 1/4 into decimal form
Bess [88]
That would be 13.25, 13+1/4
                                = 13+(1 divided by 4 which is 0.25)
                                = 13+0.25
                                Which is 13.25 so your answer is 13.25, good luck hope that helps :D
7 0
3 years ago
calvin was earning $40 an hour giving basketball lessons, but decided to lower his prive to $34. What percent did he decrease hi
Julli [10]

Answer:

15%  

Step-by-step explanation:

$40 : 100 = 0,4

1% is $0,4

$6 : 0,4 = 15%

So the percentage is 15%.

7 0
3 years ago
Darpana solved the equation s = StartFraction a + b + c Over 3 EndFraction for a. Her steps are shown below: 1. Multiply by 3: s
Harman [31]

Answer:

Option (c) is correct.

Step-by-step explanation:

Given equation is :

s=\dfrac{a+b+c}{3}

The equation can be solved for a as follows :

Step 1.

Cross multiply the given equation

3s=a+b+c

Step 2.

Now subtract b on both sides

3s-b = a+b+c-b

3s-b = a+c

Step 3.

Subtract c on both sides

3s-b-c=a+c-c

⇒ a=3s-b-c

The statement that is true for Darpana is " In step 3, she needed to subtract c rather than divide".

5 0
3 years ago
Read 2 more answers
Help ASAP please!!!
N76 [4]

Answer:

$450,000.

Step-by-step explanation:

<h3>100% - 38% = 62% of the previous house value is the current house value after the 38% decrease.</h3><h3>We'll first convert 62% to a decimal by dividing by 100.</h3>

62% = 62 / 100 = 0.62

<h2>0.62x = 279,000</h2><h3>Multiply by (100/62) on each side.</h3><h2>x = 450,000</h2><h2>The house value when it was purchased was $450,000.</h2>
8 0
3 years ago
Awarding 90 Points
Amanda [17]

Answer:

  • 1090

Step-by-step explanation:

<h3>Given AP </h3>
  • a₁₂ = 62
  • a₂₀ = 102
<h3>To find</h3>
  • S₂₀
<h3>Solution</h3>
  • a₁₂ = a + 11d = 62
  • a₂₀ = a + 19d = 102

<u>Subtract the first equation from the second one:</u>

  • 8d = 40
  • d = 5

<u>Find a:</u>

  • a + 11*5 = 62
  • a = 62 - 55
  • a = 7

<u>Find the sum of the first 20 terms:</u>

  • S₂₀ = 1/2*20(a + a₂₀) = 10(7 + 102) = 10(109)= 1090

5 0
3 years ago
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