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MrRa [10]
2 years ago
12

Given m||n, find the value of x. + (5x+16) mm (6x-7)

Mathematics
1 answer:
kupik [55]2 years ago
5 0

Based on the definition of congruent angles, the value of x is: 23.

<h3>What are Congruent Angles?</h3>

Congruent angles have the same measure. Examples of angles that are congruent are:

  • Alternate interior angles
  • Alternate exterior angles
  • Corresponding angles

Thus:

(5x + 16) = (6x - 7) -- congruent angles

Combine like terms

5x - 6x = -16 - 7

-x = -23

x = 23

Therefore, based on the definition of congruent angles, the value of x is: 23.

Learn more about congruent angles on:

brainly.com/question/1675117

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1. Using complete sentences, describe how angle relationships can be used to find the value of x In this figure. Then, find the
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60-45=15

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Suppose three riders rode a total of 182 miles. If they used a total of 13 horses, and rode each horse the same number of miles,
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Answer:

They rode 14 miles before replacing each horse

Step-by-step explanation:

We will be working under the assumption that all three riders sat on one horse at a time and rode it while the other horses rested.

From the problem, we can understand that the horses were each ridden for the same distance. This means that to get the total distance a horse rode before it was changed, we can divide the total distance by the number of horses that were used for the journey.

Distance each horse rode = 182/ 13 = 14 miles.

Therefore, each horse was ridden for 14 miles before it was changed.

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2 years ago
The Miguel traces a circle with the radius of 25 cm like the one shown. He will color the shade section what is the area of the
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Answer: The area of shaded section is 491.07 cm²

Step-by-step explanation:

Given: Radius of the circle = 25 cm

Now as shown in figure the shaded region is a quadrant.

Therefore the central angle is 90°

Now as we know

Area of sector is given by

Area= \pi r^2 \dfrac{\theta}{360^\circ}  where r is radius and \theta is central angle

So we have

Area = \dfrac{22}{7} \times (25)^2\times \dfrac{90^\circ}{360^\circ} \\\\\Rightarrow Area=  \dfrac{22}{7} \times 625 \times \dfrac{1}{4} \\\\\Rightarrow Area=  \dfrac{11}{7} \times 625 \times \dfrac{1}{2} = 491.07cm^2

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5 0
3 years ago
The sum of 444 consecutive integers is 326326326.<br> What is the second number in this sequence?
Nookie1986 [14]

Answer:

82

Step-by-step explanation:

Let's first figure out what the first number is and use that to solve for the next. The problem states that the numbers are consecutive. So the 2nd number word be 1 plus the first.

The sum of 4 consecutive numbers:

1st = x

2nd = x + 1

3rd = x + 2

4th = x + 3

The sum of 4 consecutive number is 326.

1st + 2nd + 3rd + 4th = 326

x + (x + 1) + (x + 2) + (x + 3)  = 326

Combine like terms:

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Then we subtract 6 from both sides to isolate 4x:

4x + 6 - 6 = 326 - 6

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Then we divide both sides by 4 to isolate x:

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80 + 81 + 82 + 83

= 326

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