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3 years ago

Find the value of x in the trapezoid below. Show equations and all work that leads to your answer.

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

8 0

Since the side is a transversal to the parallel bases, the angles formed are supplementary. This lets you write the relation

... (3x-5)° + (5x+13)° = 180°

... 8x +8 = 180

... x = (180 -8)/8 = 21.5

The value of x is 21.5.

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How did the temperature change if: at first it decreased by 60% and then increased by 80%. PLEASE NEED HELP!

Sergio039 [100]

The temperature decreased by 28%

Step-by-step explanation:

How did the temperature change if :

At first it decreased by 60%
Then increased by 80%

Assume that the temperature before decreasing is 100%

∵ The temperature before decreasing = 100%

∵ It decreased by 60%

→ Before decreasing : decreasing : after decreasing

→ 100% : 60% : 100% - 60% = 40%

∴ The temperature after decreasing = 40%

Assume that the temperature after decreasing is 100%

∵ The temperature after decreasing = 100%

∵ It increased by 80%

By using the ratio method

→ After decreasing : increasing : after increasing

→ 100% : 80% : 100% + 80% = 180%

→ 40% : : x%

By using cross multiplication

∴ 100% × x% = 40% × 180%

- Divide both sides by 100%

∴ x% = $\frac{(40)(180)}{100}$

∴ x% = 72%

∵ At first the temperature = 100%

∵ At last the temperature = 72%

∵ The first the temperature > the last the temperature

∴ The decreasing in temperature = 100% - 72% = 28%

The temperature decreased by 28%

Learn more:

You can learn more about ratio in brainly.com/question/2707032

#LearnwithBrainly

5 0

3 years ago

Figure A is a scale image of Figure B. What is the value of x?

Arte-miy333 [17]

X=30
Put in proportions x/45 = 18/27.
Cross multiply and get 27x= 45 x 18
Or 27X = 810.
Next, divide by 27 on both sides to get X=30.

8 0

3 years ago

-2/3x+5>3 solve the inequality

Lady bird [3.3K]

Answer:

I got in my answer that x < 3

4 0

3 years ago

The credit remaining on a phone card (in dollars) is a liner function of the total calling time made with the card (in minutes)

Brrunno [24]

Answer:

Remaining credit = $11.36 [11 dollars and 36 cents]

7 0

3 years ago

Which equations have the same pair of solutions? Select all that apply. n(n + 3)(n - 4) = 0 2n(4n + 6)(6n - 4) = 0 0 = 2n(6 - 4n

Zina [86]

Answer:

2, 4, 5, and 6 have the same pair of solutions.

Step-by-step explanation:

1. n(n+3)(n-4) = 0

2. 2n(4n+6)(6n-4) = 0

3. 2n(6-4n)(4n-6n) = 0

4. n(2n+3)(3n-2) = 0

5. 2n(2n+3)(3n-2) = 0

6. 3n(6n+9)(9n-6) = 0

Answers:

1. n = 0, -3, 4

2. n = 0, -3/2, 2/3

3. n = 0, 3/2

4. n = 0, -3/2, 2/3

5. n = 0, -3/2, 2/3

6. n = 0, -3/2, 2/3

8 0

4 years ago

Read 2 more answers