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Misha Larkins [42]
3 years ago
6

5) Find the value of x

Mathematics
2 answers:
aleksley [76]3 years ago
4 0

Answer:

Step-by-step explanation:

zvonat [6]3 years ago
4 0

Answer:

x = 12

if the angles are vertical, they are congruent

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Mrrafil [7]

Answer:

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Step-by-step explanation:

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3 years ago
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Which expression is equivalent to 3(7x – 5)?
Mamont248 [21]

Answer:

21x - 15

Step-by-step explanation:

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3 0
3 years ago
Find the Length of AC. Round answers to the nearest hundredth (2 decimal places)
lara31 [8.8K]

Answer:

32.78

Step-by-step explanation:

Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.

Let's find a and b.

Finding a:

Reference angle = 30°

Opp = 12 ft

Adj = a

Using trigonometric ratio formula, we have:

tan(30) = 12/a

Multiply both sides by a

a*tan(30) = 12

Divide both sides by tan(30)

a = 12/tan(30)

a = 20.78 (nearest hundredth)

Finding b:

Reference angle = 45°

Opp = 12 ft

Adj = b

Using trigonometric ratio formula, we have:

tan(45) = 12/b

Multiply both sides by a

b*tan(45) = 12

Divide both sides by tan(45)

b = 12/tan(45)

a = 12

Length of AC = 20.78 + 12 = 32.78

5 0
3 years ago
Jack has twice as many dimes as quarters. If the total value of the coins is $6.30, how many dimes does he have?
ycow [4]

Answer:

Number of dimes = 28

Step-by-step explanation:

Given that:

Worth of coins = $6.30 = 6.30 * 100 = 630 cents

Let,

x be the number of dimes

y be the number of quarters

According to given statement;

x = 2y    Eqn 1

10x+25y = 630    Eqn 2

Putting x = 2y in Eqn 2

10(2y) + 25y = 630

20y + 25y = 630

45y = 630

Dividing both sides by 45

\frac{45y}{45}=\frac{630}{45}\\y=14

Putting y=14 in Eqn 1

x = 2(14)

x = 28

Hence,

Number of dimes = 28

4 0
3 years ago
The equation y=1/3xis the boundary line for the inequality y>1/3x. Which sentence describes the graph of the inequality
Irina18 [472]
If th<span>e equation y=1/3x is the boundary line for the inequality y>1/3 x, then the solution set is illustrated by shading the area ABOVE the line y=(1/3)x.</span>
5 0
3 years ago
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