All categories

3 years ago

Triangle ABC has the angle measures shown.

Mathematics

1 answer:

larisa [96]3 years ago

7 0

Answer:

m∠A = 20°

Step-by-step explanation:

Triangle ABC has the following angle measures:

m∠A = 2x°

m∠B = 5x°

m∠C = 11x°

We know that the addition of the angles of a triangle makes 180°, therefore:

m∠A + m∠B + m∠C = 180°

Replacing with data and solving for x:

2x + 5x + 11x = 180

18x = 180

x = 180/18

x = 10°

Which makes the angles:

m∠A = 2*10 = 20°

m∠B = 5*10 = 50°

m∠C = 11*10 = 110°

You might be interested in

Lin and Diego both ran for 10 seconds, each at their own constant speed. Lin ran 40 meters and Diego ran 55 meters. 1. Who was m

Igoryamba

Answer:

Diego ran faster

Step-by-step explanation:

In the ten seconds, Diego ran 15 meters faster than Lin.

55 - 40 = 15

5 0

3 years ago

Find the 8th term of the geometric sequence: 1/3, -1, 3

olga55 [171]

Step-by-step explanation:

a= 1/3

common ratio = -3

the 8th term is given by,

$a {r}^{7} = \frac{1}{3} \times {( - 3)}^{7}$

$= - 729$

7 0

3 years ago

How much volume is in a globe

Varvara68 [4.7K]

Answer:

904.32

Step-by-step explanation:

I did the math

3 0

3 years ago

Read 2 more answers

A cyclist rides his bike at a speed of 21miles per hour. What is this speed in miles per minute? How many miles will the cyclist

AveGali [126]

Answer:

.35 miles per minute

3.5 miles in 10 minutes

Step-by-step explanation:

21 ÷ 60= .35

.35 × 10 = 3.5

7 0

3 years ago

Line b passes through points (9, 1) and (1, 6). Line c passes through points (10, 7) and (2, 12). Are line b and line c parallel

andre [41]

<h2>Answer: Lines b & c are parallel.⇄</h2>

Step-by-step explanation:

When lines are perpendicular, the product of their slope is -1 (the slopes are negative reciprocal).
When lines are parallel, they have the same slope.

Slope = ( y₂ - y₁) / (x₂ - x₁)

Slope of Line b = ( 6 - 1 ) ÷ ( 1 - 9 )

= 5 ÷ (- 8)

= - ⁵/₈

Slope of Line c = ( 12 - 7 ) ÷ ( 2 - 10 )

= - ⁵/₈

⇒ Line b ║ Line c

8 0

3 years ago