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Rainbow [258]
2 years ago
13

The measure of a central angle is 3x + 18 and the measure of its arc is 147 which equation can you use to find the value of x

Mathematics
1 answer:
steposvetlana [31]2 years ago
7 0

3x + 18 = 147

3x = 129

x = 43

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Find the area of the figure. PLZ HURRY
Serjik [45]

Answer:

132 cm²

Step-by-step explanation:

This is a composite figure, so we want to find the area of the top rectangle and the bottom trapezoid and then add those together.

The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Here, the length is l = 4 and the width is w = 7, so the area is:

A = lw

A = 7 * 4 = 28 cm²

The area of a trapezoid is denoted by: A = \frac{(b_1+b_2)*h}{2}, where b1 and b2 are the bases and h is the height. Here, the two bases are 7 and 19 and the height is h = 8. So, the area is:

A = \frac{(b_1+b_2)*h}{2}

A = \frac{(7+19)*8}{2}=26 *4=104 cm²

Add these together:

28 + 104 = 132 cm²

3 0
3 years ago
Read 2 more answers
What is the Greaset common factor of 26 56 84?
wariber [46]

Answer:

Based on what I know the answer is 28.

Step-by-step explanation: I know that it is 28 because I listed all of the factors on a piece of paper and matched them all up and saw that the answer was 28.

3 0
3 years ago
A circular path 4 feet wide has an inner diameter of 550 feet. How much farther is it around the outer edge of the path than aro
Softa [21]

Answer:

L_c=25.12ft

Step-by-step explanation:

From the question we are told that

Width of circular path w_c=4ft

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Outer diameter d_{out}= 550 +2*4  (inner diameter +  2 circular path width)

d_{out}= 550 +8\\d_{out}= 558ft

Generally the equation for inner circumference of the circle C_1 is mathematically given by

C_1=\pi d_{in}

C_1=3.14*550

C_1=1727ft

Generally the equation for outer circumference of the circle C_2 is mathematically given by

C_2=\pi d_{out}

C_2=3.14*558

C_2=1752.12ft

Generally the difference in length of the two circumference L_c is mathematically given by

L_c=C_2-C_1

L_c=1752.12-1727

L_c=25.12ft

7 0
3 years ago
Is 0.3x (4 - y) and - 1.2x - 0.3y equivalent
guapka [62]

Answer:

Inconsistent

Step-by-step explanation:

We are given the equations;

0.3y=0.6x+0.3

1.2x+0.6=0.6y

Assuming we are required  to determine whether the system of equations are consistent or inconsistent  

We are going to use substitution

Making y the subject;

Equation 1: 0.3y=0.6x+0.3

Dividing both sides by 0.3

y = 2x + 1

Equation 2: 1.2x+0.6=0.6y

Dividing both sides by 0.6

y = 2x + 1

This means both equations are similar and we can't get a solution.

Therefore, the system of equations is inconsistent.

6 0
2 years ago
X^2-2x-15=0<br><br> x^2-7x=18<br><br> 4n^2=4n+36=0
Blizzard [7]

Answer: oh  this is hard

Step-by-step explanation: its b

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