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Triss [41]
3 years ago
15

64° is it the Answer 154° is it the Answer

Mathematics
1 answer:
Vesna [10]3 years ago
8 0

The measure of ∠DBE is 64°

Explanation:

Given that the angles ABC and DBE are complementary angles.

The measure of angle ABC is given as ∠ABC = 26°

We need to determine the measure of angle DBE.

<u>Measure of ∠DBE:</u>

Since, the angles ABC and DBE are complementary and we know that the complementary angles add up to 90°

Thus, we have;

\angle ABC+\angle DBE=90^{\circ}

Substituting the values, we get,

26^{\circ}+\angle DBE=90^{\circ}

         \angle DBE=90^{\circ}-26^{\circ}

         \angle DBE=64^{\circ}

Thus, the measure of ∠DBE is 64°

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225 is 75% of what number
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225 is 75% Is a number 168,75
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The price of a house decreased from $500,000 to $400,000 in one year. What is the percent decrease?
-BARSIC- [3]

Answer:

A) 20%

Step-by-step explanation:

A) ✅

500000(0.2) = 100,000

500000 - 100,000 = 400,000

B) ❌

500000(0.25) = 125,000

500000 - 125,000 = 375,000

C) ❌

500000(0.3) = 150,000

500000 - 150,000 = 350,000

D) ❌

500000(0.35) = 175,000

500000 - 175,000 = 325,000

6 0
3 years ago
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3 years ago
The sum of three numbers is 102. The first number is 6 more than the second. The third number is 4 times the second. What are th
const2013 [10]

Answer:

1st number: 22

2nd number: 16

3rd number: 64

Step-by-step explanation:

x + y + z = 102

x = 6 + y

z = 4y

plug that in!

(6 + y) + y + (4y) = 102

get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.

6 + 6y = 102

move 6 to the other side.

6y = 96

y = 16

now that you know one number, you can solve the equations for the rest!

x = 6 + (16)

z = 4(16)

__________________________________________________________

x = 22

y = 16

z = 64

6 0
2 years ago
A parallelogram has base (2x - 1) metres and height (4x - 7) metres.
Jobisdone [24]

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

(9 + 5.7445626) / 8 = 1.843

4 0
3 years ago
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