1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
makvit [3.9K]
3 years ago
13

∠A and \angle B∠B are vertical angles. If m\angle A=(8x-4)^{\circ}∠A=(8x−4) ∘ and m\angle B=(7x+3)^{\circ}∠B=(7x+3) ∘ , then fin

d the measure of \angle B∠B.
Mathematics
1 answer:
Zolol [24]3 years ago
7 0

Answer:

∠B = 52°.

Step-by-step explanation:

Given: m∠A=(8x-4)° and m∠B=(7x+3)°. ∠A and ∠B are vertical angles.

Since ∠A and ∠B are vertical angles. So, there measure are equal.

m\angle A=m\angle B

(8x-4)^{\circ}=(7x+3)^{\circ}

8x-4=7x+3

8x-7x=4+3

x=7

Now,

m\angle B=(7(7)+3)^{\circ}

m\angle B=(49+3)^{\circ}

m\angle B=52^{\circ}

Therefore, the measure of ∠B is 52°.

You might be interested in
You and a friend take pictures at a motocross event. Your camera can take 24 pictures in 3.75 seconds. Your friend's camera can
Dimas [21]

Answer:

1.25

Step-by-step explanation:

use the equation given

8 0
3 years ago
DJ Davon is making a playlist for work; he is trying to decide what 12 songs to play and in what order they should be played. If
Marta_Voda [28]

Answer:

3.63 * 10^19

Step-by-step explanation:

Given that :

Number of choices to select = 12

Category available :

Blues - 14

Country - 25

Disco - 21

To select an equal number of song for each category ; then 4 songs will be selected from each :

Using combination :

(14C4 * 25C4 * 21C4)

Since the order matters for the 12 selected songs ; it thus requires 12 permutation

Thus ;

(14C4 * 25C4 * 21C4) * 12!

nCr = n! / (n-r)!r!

Using calculator;

14C4 = 1001 ;

25C4 = 12650

21C4 = 5985

12! = 479001600

Hence,

(1001 * 12650 * 5985) * 479001600

= 36301596217286400000

=3.63 * 10^19

5 0
3 years ago
Find the value of each variable
4vir4ik [10]

Answer:

x = 10\sqrt{2} , y = 10\sqrt{6}

Step-by-step explanation:

using the sine and cosine ratios in the right triangle and the exact values

cos60° = \frac{1}{2} , sin60° = \frac{\sqrt{3} }{2} , then

cos60° = \frac{adjacent}{hypotenuse} = \frac{x}{20\sqrt{2} } = \frac{1}{2} ( cross- multiply )

2x = 20\sqrt{2} ( divide both sides by 2 )

x = 10\sqrt{2}

and

sin60° = \frac{opposite}{hypotenuse} = \frac{y}{20\sqrt{2} } = \frac{\sqrt{3} }{2} ( cross- multiply )

2y = 20\sqrt{2} × \sqrt{3} = 20\sqrt{6} ( divide both sides by 2 )

y = 10\sqrt{6}

5 0
2 years ago
Plot the approximate values of and on a number line and determine which of the following statements are correct.
Vika [28.1K]

9514 1404 393

Answer:

  • square root of 5 is approximately 1 less than square root of 10
  • square root of 10 is between 3.1 and 3.2
  • square root of 10 is less than 3.5

Step-by-step explanation:

√5 and √10 are plotted on the number line shown below.

Rounded to 1 decimal place, √5 ≈ 2.2 and √10 ≈ 3.2, so it could be said they differ by about 1 unit. The above answer choices are the ones that match the graph.

8 0
3 years ago
Can anyone help me with this
-Dominant- [34]

Answer:

A or c!

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • True or false. A binomial,where both terms are perfect squares, will always factor
    7·1 answer
  • What is the distance from -7 to +5 on a number line? <br> A. -2<br> B. 12
    13·2 answers
  • orange blossoms have 5 petals and are some of most fragrant flowers. How many petals would there be in a group of 7 flowers.
    10·2 answers
  • Simplify 8/9 over 20. 8/9/20 ​
    10·1 answer
  • What is the mixed number of 19/5
    6·1 answer
  • For the standard normal curve , find the z-score that corresponds to the third quartile answer??
    6·1 answer
  • Order these numbers from least to greatest. PLZ HELP FAST!!<br> 2.048, 2.5, 2.48, 2.4812
    7·2 answers
  • The area of the rectangle below is<br> sq. units.<br> Help me pls :(
    10·2 answers
  • Use the information provided to write the equation of each circle. Center: (-13, 13) Radius: 4​
    12·1 answer
  • Use 8a+16c.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!