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Bas_tet [7]
3 years ago
9

Fill in the missing reasons in the Two-column proof below.

Mathematics
2 answers:
Mice21 [21]3 years ago
5 0
A. Given (This is part of the original problem)
b. Supplementary angles form 180 degrees (The definition of supplementary angles is that two or more angles have a sum of 180 degrees. DC is a straight line and has a measure of 180 degrees)
c. Substitution (Given the two previous statements, they are each equal to 180 degrees. Since 180=180 then you can substitute the angles in the equation.)
d. Subtraction (m<2 is being subtracted)
e. Subtraction postulate (Since the same quantity was being subtracted from each side of the equation, they are still equal)
monitta3 years ago
5 0

Answer:

a. Given (This is part of the original problem)

a. Supplementary angles form 180 degrees (The definition of supplementary angles is that two or more angles have a sum of 180 degrees. DC is a straight line and has a measure of 180 degrees)

c. Substitution (Given the two previous statements, they are each equal to 180 degrees. Since 180=180 then you can substitute the angles in the equation.)

Step-by-step explanation:

may i have brainleast?

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five people, each working 8 hours a day, can assemble 400 toys in a five day work week. what is the average number of toys assem
vladimir1956 [14]

The question asks for the rate of toys per hour.

So we shall divide the total toys assembled by the total hours.

Its a five day week.

The number of hours allotted per day are 8.

So total allotted during the week are 8 × 5 = 40 hours.

Number of toys made during the week are 400.

Hence the number of toys assembled per hour per person

= number of toys / number of hours

= 400 / 40

= 10 toys per hour per person.

The average number of toys assembled per hour per person is 10.


8 0
3 years ago
Read 2 more answers
Brian has 40000 to invest in a mix of corporate and municipal bonds. The corporate bond pays 10% simple annual interest and the
jonny [76]

Answer:

Sum of money invested in corporate bonds = 30,000

Step-by-step explanation:

Total sum = 40,000

The rate of interest for corporate bonds = 10 % = 0.1

The rate of interest for municipal bonds = 6 % = 0.06

Total interest = 3600

Let sum of money invested in corporate bonds = x

The sum of money invested in municipal bonds = 40000 - x

x × 0.1 × 1 + (40000 - x) × 0.06 × 1 = 3600

(0.1- 0.06)x + 2400 = 3600

0.04 x = 1200

x = 30,000

Since x =  sum of money invested in corporate bonds

So  sum of money invested in corporate bonds = 30000

4 0
3 years ago
If 2 out of 36 people applaud, and 10 people in a concert hall are applauding, how many people are in the concert hall?
solmaris [256]
46 people are in the concert hall
3 0
3 years ago
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Solve the equation below for x. 5x- 2 = -7 What is x=_____
Sati [7]

Answer:

x = -1

Step-by-step explanation:

Start with adding 2 to -7

-7 + 2

=-5

Then divide by 5

-5/5

=-1

6 0
3 years ago
I need help fast in these questions.
cupoosta [38]

Answer:

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Step-by-step explanation:

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