All categories

3 years ago

Two angles are complementary. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x?

Mathematics

2 answers:

beks73 [17]3 years ago

5 0

42.5 I think

3x+10+x=180
4x=170
170/4=x
X=42.5

WARRIOR [948]3 years ago

3 0

Answer:

x= 20

Step-by-step explanation:

Information needed:

Complementary angles add up to 90°

Angle ABC= x°

Angle DBC= (3x+10)°

Equation:

x+(3x+10)= 90

Solve:

x+(3x+10)= 90

x+3x+10= 90

4x+10= 90

-10 -10

4x= 80

/4 /4

x= 20

You might be interested in

Five students wrote a test and the scores were as follows:5,3,7,9 and x. If their total score was 30 find the value of x

blsea [12.9K]

Answer:

The value of X is 6.

Step-by-step explanation:

5 + 3 + 7 + 9 = 24

30 - 24 = 6

X = 6

The difference is 6.

7 0

3 years ago

Read 2 more answers

Solve the equation. Check for extraneous solutions. 6|6-4x|=8x+4

MA_775_DIABLO [31]

Use PEMDAS
Parentheses
Exponents
Multiply
Divide
Add
Subtract

8 0

3 years ago

Which diagram represents the net of a cube? Circle all that apply.

Zigmanuir [339]

Answer:

B 100%

Step-by-step explanation:

3 0

1 year ago

The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is approximately 16,615.

Recall:

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

Given:

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

Therefore,

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

Thus:

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately 16,615 balls to fill up the entire office.

Learn more here:

brainly.com/question/16098833

6 0

3 years ago

A company wants to collect opinions on employee working conditions. Which group of individuals would be the best choice for a ra

makvit [3.9K]

Answer: B

Step-by-step explanation:

3 0

3 years ago