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2 years ago

Given: mZA= 15°; a = 10; m B = 57° Find b.

Mathematics

1 answer:

Novay_Z [31]2 years ago

5 0

Answer:

Solve in terms of the arbitrary variable B

Alw(10)⋅(ys)

true

a=10

m=57°B

Step-by-step explanation:

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A number is two more than another number in number form?

Ksivusya [100]

From the information in the word problem we are able to set up the following inequality:

3y + 2 - y = 12 | where x is the larger number of two numbers in a set (x, y)

We know this because the problem states that [x = 3y + 2] or 3 times the smaller number plus two.

We also know that x - y = 12.

So, we substitute x in [x - y = 12] with 3y + 2 that we found out above, and we get the following:

3y + 2 - y = 12

Now, we solve the inequality

3y + 2 - y = 12

-> subtract 2 from both sides :: 3y - y = 10

-> subtract y from 3y :: 2y = 10

-> divide both sides by 2 :: y = 5

So now we have y, the smaller number, which is equal to 5. Next, to find x we simply plug y=5 back in to either the value of x, [3y + 2], or the inequality of x - y = 12. I will show both:

x - y = 12

-> substitute y for 5 :: x - 5 = 12

-> add 5 to both sides :: x = 17

3y + 2 = x

-> substitute y with 5 :: 3(5) + 2 = x

-> multiply 3, 5 :: 15 + 2 = x

-> add 15, 2 :: 17 = x

So there you have it:

x = 17 , y = 5

You can go back and use these values to check your answer and make sure they work with the word problem.

Remember to look for the setup to an inequality in the word problem. Anything that says BLANK times this number, or 4 less than that number, is trying to set you up with an inequality problem.

(just another form of the equation)

brainliest will be appreciated as well

6 0

3 years ago

I need help this is due tonight

leva [86]

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

First, let's establish that, they are co-interior angles on parallel lines. We can identify this as they form a 'C' shape on parallel lines.

Co-interior angles add up to 180°.

Therefore:

( x + 27 )° + ( 3x - 25 )° = 180°

x + 3x = 180 - 27 + 25

4x = 178

x = 178 / 4

x = 89 / 2

x = 44.5°

Hope this helps! <3

4 0

3 years ago

What is 4x+5 less than or equallys too 13 equals

gizmo_the_mogwai [7]

If you are trying to solve for x, then
4x+5<=13
subtract both sides by 5

4x<=8
then divide both sides by 4
x<=2

5 0

3 years ago

Read 2 more answers

A box contains 19 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, an

pshichka [43]

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Step-by-step explanation:

A box contains 19 large marbles and 18 small marbles

Each marble is either green or white

9 of the large marbles are green, and 8 of the small marbles are white

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(small) ⇒ P(s)

2.Find P(green) ⇒ P(g)

3. Find P(small and green) ⇒ P(s and g)

4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)

∵ The box contains 19 large marbles and 18 small marbles

∴ The total number of marbles = 19 + 18 = 37

∴ P(s) = $\frac{18}{37}$

∵ There are 8 small white marbles

∵ There are 18 small marbles

∴ The number of small green marbles = 18 - 8 = 10

∴ P(s and g) = $\frac{10}{37}$

∵ There are 9 large green marbles

∵ There are 10 small green marbles

∴ The number of green marbles = 9 + 10 = 19

∴ P(g) = $\frac{19}{37}$

∵ P(small or green) = P(s) + P(g) - P(s and g)

∴ P(small or green) = $\frac{18}{37}+\frac{19}{37}-\frac{10}{37}$

∴ P(small or green) = $\frac{27}{37}$ = 0.7297

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Learn more:

you can learn more about probability in brainly.com/question/13053309

#Learnwithbrainly

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2 years ago

PLEASE HELP “ solve the following any quality and write the solution in set form”

Veronika [31]

Answer:

14 and 16

Step-by-step explanation:

A number used in the mathematical operation of addition (e.g., 6 + 8 = 14, ... K-5 Definitions of Math Terms. 15 remainder. The number left over is 14-16

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2 years ago

Given: mZA= 15°; a = 10; m B = 57° Find b.​

Given: mZA= 15°; a = 10; m B = 57° Find b.