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Alexxandr [17]
2 years ago
11

3.75x - 1.5 = 40(Round your answer to the nearest tenth ​

Mathematics
2 answers:
Igoryamba2 years ago
6 0

Answer:

11.1

Step-by-step explanation:

3.75x - 1.5 = 40

+1.5 +1.5

3.75x/3.75 = 41.5/3.75

1x=11.1

x= 11.1

liraira [26]2 years ago
3 0

Answer:

x = 11.1

Step-by-step explanation:

3.75x - 1.5 = 40

3.75x = 40 + 1.5

3.75x = 41.5

x = 41.5/3.75

x = 11.07

Rounded to nearest tenth: 11.1

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3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
kondor19780726 [428]

Answers:

x = 5

m∠C = m∠H = 38 degrees

 

 

WORKINGS

 

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

 

Given,

m∠C = 9x – 7

m∠H = 5x + 13

 

Since m∠C = m∠H

9x – 7 = 5x + 13

 

Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

 

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

4x = 20

 

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

 

 

To determine the measures of angle C and angle H

m∠C = m∠H

 

We know that m∠C = 9x – 7

Since x = 5

m∠C = 9(5) – 7

m∠C = 45 – 7

m∠C = 38

 

Therefore, m∠C = m∠H = 38 degrees
4 0
3 years ago
What is the slope of the line given by the equation y = 3x? enter your answer as an integer.
Galina-37 [17]
Slope is 3
3/1
Rise3 and 1 to the right called run
3 0
3 years ago
Write the equation of the line given the slope = 9 and b = 5 with y = mx + b
Delvig [45]

Answer:

y=9x+5

Step-by-step explanation:

3 0
2 years ago
Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below.
GaryK [48]

Answer:

Radius length: √5

Standard Form (Equation): (x + 4)^2 + y^2 = 5

Step-by-step explanation:

First we will determine the radius;

Center: (-4, 0)

Point on Circumference: (-2, 1)

d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2

= √4 + 1 = √5

Therefore the radius is of length √5

Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

6 0
2 years ago
Read 2 more answers
What is the d stand for????
SOVA2 [1]

Answer:

The missing variable

Step-by-step explanation:

D=2

5 0
3 years ago
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