All categories

2 years ago

Solve for x. what are the measures of the two angles shown? show your work

Mathematics

1 answer:

mojhsa [17]2 years ago

4 0

Answer:

x = 34

Step-by-step explanation:

This is a straight line so the sum of angles must be 180°

4x + 20 + x - 10 = 180 add like terms

5x + 10 = 180 subtract 10 from both sides

5x = 170 divide both sides by 5

x = 34

To calculate each angle we replace x with the value we found

4x + 20 ➡ 4×34 + 20 = 156

x - 10 ➡ 34 - 10 = 24

You might be interested in

What percentage of 5/2 hours is 15 minutes?

elena-14-01-66 [18.8K]

Answer:

10 %

Step-by-step explanation:

15 mn = 1/4 h

We have :

$\frac{\frac{1}{4} }{\frac{5}{2} } =\frac{1}{4} \times \frac{2}{5} =\frac{2}{20} =\frac{1}{10}=0.1$

Then the percentage that 15 mn represents of 5/2 h is :

0.1 × 100 = 10 %

5 0

2 years ago

What is the interest earned based upon a principal of $1,000 at a rate of 6% over 8 years????

Nata [24]

1000*(1.06)^8. I'm lazy and don't want to type this into a calculator, but what you get out is the answer.

4 0

3 years ago

A large company wanted to know how the average salary of their employees had changed over the last year. the results of their st

Aleksandr-060686 [28]

A large company wanted to know how the average salary of their employees had changed over the last year. the results of their study had a p-value of 0.12and showed that the average salary had increased by $1,500 from $20,000 to $21,500. The results were practically significant but not statistically significant.

4 0

2 years ago

Drag each symbol and number to the correct location on the inequality. Not all symbols and numbers will be used. Sam initially i

galben [10]

Answer:

$t \leq 18.67\ years$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=?\ years\\ P=\$4,500\\ A=\$7,020\\r=0.03$

The inequality that represented this situation is

$P(1+rt) \leq A$

substitute the values and solve for t

$4,500(1+0.03t) \leq 7,020$

$(0.03t) \leq (7,020/4,500)-1$

$t \leq [(7,020/4,500)-1]/0.03$

$t \leq 18.67\ years$

7 0

3 years ago

Simplify into one fraction<br><br> 8x-2/x-8-2/x-8

Elis [28]

$\frac{8x-2}{x-8} - \frac{2}{x-8}$

The fractions already have a common denominator of x-8, so all wee need to do is combine the numerators:

$\frac{8x-2-2}{x-8}$

$\frac{8x-4}{x-8}$

3 0

3 years ago

Solve for x. what are the measures of the two angles shown? show your work​

Solve for x. what are the measures of the two angles shown? show your work