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3 years ago

Determine the measure of the angle in ?

Mathematics

1 answer:

Fofino [41]3 years ago

4 0

Answer:

? = 30°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

48° is an exterior angle of the triangle, then

? + 18° = 48° ( subtract 18° from both sides )

? = 30°

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Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of

Lunna [17]

Answer:

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

$SI = \frac{P \times T \times R}{100}$

First account: $SI=\frac{x \times 1 \times 12}{100}$

Second account : $SI =\frac{(6000-x) \times 1 \times 7}{100}$

We are given that At the end of the first year he had earned $590 in interest.

So, $\frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400$

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

8 0

3 years ago

1,290=h/10+h/5 What is h?

alekssr [168]

Answer:

4300

h/10 + 2h/10

= 1290

3h/10 = 1290

3h = 12,900

h = 4300

6 0

3 years ago

Read 2 more answers

How do I solve this equation n^2=18n+40.

Readme [11.4K]

Answer:

n = 20 or n = -2

Step-by-step explanation:

Solve for n over the real numbers:

n^2 = 18 n + 40

Subtract 18 n + 40 from both sides:

n^2 - 18 n - 40 = 0

The left hand side factors into a product with two terms:

(n - 20) (n + 2) = 0

Split into two equations:

n - 20 = 0 or n + 2 = 0

Add 20 to both sides:

n = 20 or n + 2 = 0

Subtract 2 from both sides:

Answer: n = 20 or n = -2

3 0

3 years ago

What is the rules for the reflection?

Murrr4er [49]

Answer:

the correct for this question is be over the y-axis (x,y)=(-x,y)

8 0

3 years ago

9 is what percent of 90?

QveST [7]

10% i believe :)

i hope this helps u!!

4 0

3 years ago

Read 2 more answers