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Ulleksa [173]
3 years ago
11

Please answer this geometry (or trig) question!!!!

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Step-by-step explanation:

We know:

The sum of the measures of acute angles in a right triangle is equal 90°.

Therefore

(1) A + B = 90°

(2) 90° + B + C = 180° - angles on a straight line

(3) from (2) B + C = 90° → B = 90° - C

(4) from (1) and (3) A + (90° - C) = 90° → A - C = 0

Therefore

A = C → ∠A ≅ ∠C

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Last year, Maria had $10,000 to invest. She invested some of it in an account that paid 6% simple interest per year, and she inv
denis-greek [22]

Answer:

$3,000 invested at 6%

$7,000 invested at 10%

Step-by-step explanation:

Maria had total $10,000 to invest.

Let x be the amount that Maria invested initially at 6% interest rate.

0.06x

Then she invested the remaining amount at 10% interest rate.

0.10(10,000 - x)

She received a total of $880 in interest.

0.06x + 0.10(10,000 - x) = 880

0.06x + 1000 - 0.10x = 880

-0.04x = 880 - 1000

-0.04x = -120

0.04x = 120

x = 120/0.04

x = $3,000

This is the amount that Maria invested initially at 6% interest rate.

The remaining amount is

10,000 - 3,000

$7,000

This is the remaining amount that she invested at 10% interest rate.

3 0
3 years ago
A circle has a radius of 14 units. What is the area in square units of the circle in terms of π?
Snowcat [4.5K]
Area of circle = pi r²

14²= 196

196 x pi = 196pi

Area = 196pi units²
3 0
3 years ago
Alex lost 36 pounds in 8 weeks on his new weight loss plan. What was his average change in weight per week?
PilotLPTM [1.2K]
4.5 odd a week is the answer
4 0
3 years ago
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The mother's age is 8 times her son's age. After 6 years, the age of the mother will be 9/2 times her son's age. The present age
Yakvenalex [24]

Answer:

son = 6 mother = 48

Step-by-step explanation:

Mother = m

son = s

m = 8s

m+6 = 9/2 * (s+6)

so

2(8s + 6) = 9(s +6)

16s + 12 = 9s + 54

16s - 9s = 54 - 12

7s = 42

s = 42/7 = 6 years old

so the mother is 8s = 8*6= 48 years old

4 0
3 years ago
Read 2 more answers
SM052VGS2E
Lerok [7]

The four powers have zero (0) in common

<h3>Indices </h3>

From the question, we are to determine what the four powers have in common

In the question, we can observe that the four powers have 0 in common.

The value of each of the expressions is 1.

Hence, the four powers have zero (0) in common.

Learn more on Indices here: brainly.com/question/15361818

#SPJ1

8 0
2 years ago
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