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VARVARA [1.3K]
1 year ago
8

Can someone help me with this?

Mathematics
1 answer:
creativ13 [48]1 year ago
8 0

The missing values are 28° and 62°

<h3>What are perpendicular lines?</h3>

Perpendicular lines are said to be two lines that intersect or meet each other at right angles, that is 90 degrees.

From the information given, we have that;

Line AC ⊥ Line BE

Where:

  • m ∠ ADE = (x + 5)°
  • m ∠ DBE = (3x - 7)°

Hence,

x + 5 + 3x - 7 = 90

collect like terms

4x = 90 + 2

4x = 92

Make 'x' the subject

x = 92/ 4

x = 23

For the missing values

m ∠ ADE = (x + 5)° = ( 23 + 5) = 28°

m ∠ DBE = (3x - 7)° = (3(23) - 7) = 62°

Thus, the missing values are 28° and 62°

Learn more about perpendicular lines here:

brainly.com/question/17683061

#SPJ1

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What does a=? b=? Angle B=?
Kobotan [32]

Answer:

If you were solving the right triangle, it would be:

m∠A = 46°

m∠B = 44°

m∠C = 90°

AB = 32

BC ≈ 23

AC ≈ 24

Step-by-step explanation:

To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:

m∠A = 46° (given)

m∠B = x

m∠C = 90° (given)

180 - (46 + 90) = x

180 - 136 = x

44 = x

m∠B = 44°

To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.

Recall that:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

So:

sin46 = BC/32

BC = 32 (sin46)

BC ≈ 23

tan46 = BC/AC

AC = BC/tan46

AC = (23.01887361...) (tan46)

AC ≈ 24

5 0
2 years ago
After running 10 miles, David drank 2 bottles of water. His brother was thirstier and drank times as much as David. What equatio
bonufazy [111]

Answer:

4 bottles of water

Step-by-step explanation:

4 0
2 years ago
Solve pls brainliest
tatyana61 [14]

Answer:

1/4

Step-by-step explanation:

20n=5

n=5/20

n=1/4

therefore, it's 1/4

3 0
2 years ago
Read 2 more answers
You measure 47 backpacks' weights, and find they have a mean weight of 79 ounces. Assume the population standard deviation is 13
ki77a [65]

Answer:

3.14

Step-by-step explanation:

Given that:

Mean weight (m) = 79 ounces

Population standard deviation (s) = 13.1

Sample size = 47

Maximal margin of error associated with 90% confidence interval.

The margin of error is given by:

Zcritical * (standard deviation / sqrt(sample size)

Z critical at 90% confidence interval = 1.645

Hence,

Zcritical * (standard deviation / sqrt(sample size)

1.645 * 13.1 / sqrt(47)

1.645 * (13.1 / 6.8556546)

1.645 * 1.9108313

Hence, the margin of error is :

3.1433174885

= 3.14

8 0
3 years ago
The stem-and-leaf plot shows kilometers walked by participants in a charity benefit walk. Use it to answer the questions. a. Des
aivan3 [116]

Answer / Explanation

The question is incomplete. It can be found in search engines:

However, kindly find the complete question below:

Question:

The stem and leaf plot shows kilometers walked by participants in a charity benefit walk. Use it to answer the question

12|3 3 6 7 9 9

13| 1 1 4 5 5

14| 0 0 2 3 3 8 8 9

15| 2 2 2 2 2 3 5 5 7

16| 4 5 5 9 9

17|3 5

(a) How many people participated in the walk? Exactly 35 people participated in the walk.

(b)How many of the walkers traveled more than 14 kilometers? About 16-22 people traveled more than 14 kilometers.

Answers:

(a) Exactly 35 people participated in the walk.

(b) About 16-22 people traveled more than 14 kilometers.

4 0
3 years ago
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