3 years ago

Use the relationship in the diagrams below to solve for x. Show all work.

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

5 0

Answer:

a. x = 24

b. x = 40

Step-by-step explanation:

You are given a right triangle, so use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + 18^2 = 30^2

x^2 + 324 = 900

x^2 = 576

x = 24

The sum of the measures of all angles is 360 degrees.

x + 2x + 2x + 20 + 3x + 20 = 360

8x + 40 = 360

8x = 320

x = 40

You might be interested in

Write an algebraic expression that corresponds to "the opposite of a number "

Katarina [22]

Answer:

-n

Step-by-step explanation:

If n represents "a number", then the opposite of the number is ...

-n

Examples:

The opposite of -3 is -(-3) = 3. The opposite of 10 is -10.

7 0

2 years ago

Brenda mails a package to a grandson that weighs 210 grams. About how many ounces is the package? Use 1 ounce = 28.4 grams.

Lilit [14]

210 grams into ounces
210 / x = 28.4 / 1
cross multiply
210 = 28.4 x
divide both sides by 28.4
The answer is 7.39 ounces
That can be rounded to 7.4 ounces

The package is 210 grams or 7.4 ounces.

Hope this helps :)

3 0

3 years ago

* It should take 5.22 minutes to clean a shower. You have 5 showers that need to be cleaned. How many minutes should it take for

elena-14-01-66 [18.8K]

Answer:

26.1 minutes

Step-by-step explanation:

If you multiply 5.22 times 5 equals 26.1 to clean all 5. You just needed to multiply.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

3 0

2 years ago

Read 2 more answers

What are the coefficient(s) in the expression: 3x+2r-7

strojnjashka [21]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

How many decibels is this? show work

slavikrds [6]

Answer:

115 dB

Explanation:

1. Given equation:

$\beta =10log(\frac{I}{I_0})\\\\ I_0=10^{-12}W/m^2$

2. Given intensity:

$I=0.315W/m^2$

3. Decibels

$\beta =10log(0.315/10^{-12})\\ \\ \beta =10log(315,000,000,000)\\ \\ \beta =10(11.498)=114.98\approx 115$

4 0

2 years ago