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elixir [45]
2 years ago
8

Point C is the center of the circle. The measure of angle ACB is 12x – 7. Arc ADB measures 10x – 7. Find the value of x.

Mathematics
1 answer:
Anna35 [415]2 years ago
6 0
We are asked to solve for the value of x given that the center is the point C and the ∠ACB is 12x-7 while the given arc is equal to 10x-7. To solve this problem, we need to remember that the summation of angle ACB and angle ADB is equal to 360°. Hence, the solution is shown below:
∠ACB + ∠ADB = 360°
12X - 7 + 10X -7 = 360 , combine same term such as:
22x - 14 = 360 , transpose -14 to the right side such as:
22x = 360 + 14
22x = 374 , divide both sides bu 22
22x/ 22 = 374 / 22
x = 17

The answer to this problem is 17 and this is the value of x.

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fiasKO [112]

Answer:

a^2-b^2=(a+b)(a-b) where a=4x and b=5. (4x+5)(4x-5)

Step-by-step explanation:

Since both terms are perfect squares,factor using the difference of squares formula

6 0
3 years ago
Triangle LMN similar to triangle OPQ find the measure of side PQ round your answer to the nearest 10th if necessary
sergejj [24]

*see attachement for the triangles given

Answer:

PQ = 6.8

Step-by-step explanation:

Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:

LN/OQ = MN/PQ

LN = 5

OQ = 17

MN = 2

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Plug in the values

5/17 = 2/PQ

Cross multiply

5*PQ = 2*17

5*PQ = 34

PQ = 34/5

PQ = 6.8

8 0
2 years ago
What is the value of thi expression when d=3?
Leni [432]

Answer:

73

Step-by-step explanation:

Givens

d = 3

Equation 7d^2 + 10 = ?

Solution

7*3*3 + 10                

7*9 + 10

63 + 10 = 73

4 0
3 years ago
Read 2 more answers
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Katarina [22]

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Step-by-step explanation:

  • Step 1: Given total savings of Daisy = $5000. Find the amount spent by Daisy on her room

Amount spent on room = 3/4 of 5000 = 3/4 × 5000 = $3750

  • Step 2: Calculate the remaining amount.

Remaining amount = $5000 - $3750 = $1250

  • Step 3: Calculate the amount Daisy plans to spend on food

Amount to be spend on food = 1/2 of 1250 = 1/2 × 1250 = $625

5 0
3 years ago
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Lelechka [254]
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3 years ago
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