MATHEMATICS MIDDLE SCHOOL

What is the missing reason in step 5A. Linear pair postulate

B. Givin

C. Definition of complementary angles

D. Congruent complements theorem
What is the missing reason in step 5 A. Linear - 1

Answers

Answer 1
Answer:

Answer:

(A) Linear pair postulate

Step-by-step explanation:

Given: AB intersects DE at point C.

To prove: ∠DCB≅∠ECA

Proof:

Statements                                                                   Reasons

1. AB intersects DE at point C.                                      given

2. ∠DCB and ∠BCE are a linear pair                       Definition of linear pair

3. ∠DCB is supplementary to ∠BCE                        Linear pair postulate

4. ∠BCE and ∠ECA are a linear pair                       Definition of linear pair

5. ∠BCE is supplementary to ∠ECA                       Linear pair postulate

Thus, from statement 2 and 5, we have

∠DCB+∠BCE=180° and ∠BCE+∠ECA=180°

⇒∠DCB+∠BCE=∠BCE+∠ECA

⇒∠DCB≅∠ECA

Hence proved

thus, option A is correct.

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Casey and her two friends made $54 selling lemonade in their neighborhood. They will share their money equally. How much money will each friend get? Show your work and explain the answer

Answers

To find out how much money Casey and her two friends will each get, we simply need to divide the total amount of income by the amount of people receiving a part of it

54 / 3 = 18

Casey and her two friends each got $18 from their lemonade stand.
Hope that helped! =)

Rule: start at 3 1/8, subtract 3/4

Answers

Answer:

2.375   i hope this helps!   :)

Step-by-step explanation:

3 1/8 = 3.125

3/4 = .75

3.125 - .75 = 2.375

Henry’s baseball team needs new equipment each new baseball will cost 5.50$ And each new bat will cost 14.95 how much will the team spend if they buy 8 new baseballs and 2 new bats

Answers

Answer:

73.9

Step-by-step explanation:

multiply 5.50 by 8 and 14.95 by 2

EDIT: then add the products together

Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours? What is the hourly rate Bruce charges to rent a snowmobile? Write a direct variation equation, then solve.

Answers

Answer:

The hourly rate Bruce charges is, $33.75

Step-by-step explanation:

Direct Variation states two variables that can be expressed by an equation in which one variable is equal to a constant times the other, or we can say that if one variable changes then the other changes in proportion to the other.

i.e y \propto x or

y = kx where k is the constant.

Let x be the number of hours and y be the charges.

He charges $ 135 for 4 hours, by using direct variation;

⇒ 135= k( 4)

Solve for k:

k = (135)/(4) = \$ 33.75 per hour

Now, for 6 hours he charges $ 202.50, by using direct variation.

⇒ 202.50 = k(6)

Now, solve for above k: we have

k = (202.50)/(6)  = \$ 33.75 per hour.

Therefore, the hourly rate Bruce charges to rent a snowmobile, k is, $ 33.75

Answer: Hourly rate of rent a snowmobile is $ 33.75.

Step-by-step explanation:

Since we have given that

Amount Bruce charges for 4 hours = $135

Amount Bruce charges for 6 hours = $ 202.50

Since there is direct variation, as with the increase in hours the cost will also increase.

So, it will be written like this :

(135)/(4)=(202.5)/(6)

But we need to find the hourly rate which will be

(135)/(4)=\$33.75

Hence, hourly rate of rent a snowmobile is $ 33.75.

1/5m + 6 = 3/4
What is m?

Answers

1/5m + 6 = 3/4

subtract 6 from each side

1/5m = 3/4 - 6

divide 1/5 from each side

m = 3/4÷1/5 - 6/5

simplify

m= 3/4 × 5 - 6/5
m = 15/4 - 6/5
m = 75/20 - 24/20
m = 51/20

m = 2 11/20

Can anyone tell me everything there is to know about functions?How they're solved
Its formula
etc.
(30 pts)

Answers

Answer:

function

A set of ordered pairs where each first element is paired with one and only one second element and no element in either pair is without a partner.

Step-by-step explanation:

Question 1: Calculate the slope, x-intercept and y-intercept of a linear equation, f(x) = 5x + 4 ?

Solution:

Given,

f(x) = 5x + 4

The general form of a linear equation is,

f(x) = mx + c

So,

Slope = m = 5

Substitute f(x) = 0,

0 = 5x + 4

5x = -4

x = −45

The x-intercept is (−45, 0)

Substitute x = 0,

f(x) = 5(0) + 4

f(x) = 0 + 4

f(x) = 4

The y-intercept is (0,4)

Answer:

function junction

Step-by-step explanation:
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