All categories

2 years ago

Two line segments intersect at point B as shown. What is the measure of angle ABC?

Mathematics

2 answers:

zimovet [89]2 years ago

5 0

Answer:

the answer is b.) 24

Step-by-step explanation:

you would set 3x + 12 and 6x equal because they have the same angle

$3x + 12 = 6x$

then subtract 12 on both sides

$3x = 6x - 12$

then subtract 6x from both sides

$- 3x = - 12$

now just divide by 3 on both sides

$x = 4$

then add it into the equation 3(4) + 12

miv72 [106K]2 years ago

3 0

Answer: B - 24 Degrees

Step-by-step explanation:

3x+12 = 6x

12 = 3x

4 = x

[3(4)+12] = 24

6(4) = 24

You might be interested in

5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.

ycow [4]

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

$\frac{AC}{sin30}$ = $\frac{15}{sin40}$ ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = $\frac{15sin30}{sin40}$ ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = $\frac{adjacent}{hypotenuse}$ = $\frac{BC}{AC}$ = $\frac{BC}{11.668}$ ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

6 0

3 years ago

PLEASEEEEEE HELP!!

elena-s [515]

Answer:

ya 5x is the right anwser

3 0

2 years ago

Julia is going for a walk through the neighborhood. What unit of measure is most appropriate to describe the distance she walks?

Kryger [21]

Answer:

Possibly meters or feet/yards.

A walk through a neighborhood would be less than a mile/kilometer but much further than an inch/centimeter.

8 0

2 years ago

Read 2 more answers

What positive whole number can you multiply by 3 and add1,or multiply by 2 and add 8?

Vilka [71]

Answer:

7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.

Step-by-step explanation:

Multiplying the positive whole number 7 by 3 and adding 1 will get:

(7 × 3) + 1 = 21 + 1 = 22

Multiplying the positive whole number 7 by 2 and adding 8 will get:

(7 × 2) + 8 = 14 + 8 = 22

Therefore, 7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.

3 0

2 years ago

The area of the square hole is 8 square centimeters. The volume of a cube shaped block is 64 cubic centimeters. Which edge lengt

damaskus [11]

case a) The area of the square hole is 8 square centimeters

we know that

the area of a square is equal to

$A=b^{2}$

where

b is the length side of the square

in this problem we have

$A=8\ cm^{2}$

Find the length side b

$b^{2} = 8 \\b= \sqrt{8} \ cm\\b= 2\sqrt{2} \ cm$

the answer Part a) is

the length side of the square is $2\sqrt{2} \ cm$

Part b) The volume of a cube shaped block is 64 cubic centimeters

we know that

the volume of a cube is equal to

$V=b^{3}$

where

b is the length side of the cube

in this problem we have

$V=64\ cm^{3}$

Find the length side b

$b^{3} = 64 \\b= \sqrt[3]{64} \\b= 4\ cm$

therefore

the answer Part b) is

the length side of the cube is $4\ cm$

5 0

3 years ago