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3 years ago

Reasons

Mathematics

1 answer:

kenny6666 [7]3 years ago

6 0

Answer:

Reasons 1. Given

2. Angle Addition Postulate

Statements

1. AD|| BC

2. mZ3+m25 mZDAB

3. m24+mZDAB = 180*

4. m24+mZ3+ m25 180°

5. 21 $ 24, 22 & 25

6. mZ1 m24, m22 m25

7. mZ1+m/2+mZ3 180°

3. Linear Pair Postulate

4. Substitution Property of Equality

15.

6. Definition of Congruent Angles

The

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PLEASE ANSWER THIS QUESTION TOO !! FOR 30 POINTS AND BRAINLIEST!!

s344n2d4d5 [400]

Answer:

3000 books

Step-by-step explanation:

We know the author receives a one time fee of $2500. On top of that, the author will receive $1.50 per book sold. This is a constant rate and is linear because of this. We can use y=mx+b. M is the slope or rate of change. M here is $1.50. B is the starting value which is $2500 here.

We write y=1.5x+2500.

This equation will give the amount of money the author earns for x number of books sold. If y=7000 for the author earning 7000. We will use inverse operations to isolate and find x.

7000=1.5x+2500

7000-2500=1.5x+2500-2500

4500=1.5x

4500/1.5=x

3000=x

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3 years ago

Read 2 more answers

Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every

Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

$A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}$

For machine B:

$B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}$

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

$A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}$

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

$t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }$

The bolts unit cancell each other and we are left with seconds

$t = \frac{200}{8} s = 25 s$

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

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4 years ago

Read 2 more answers

Find the slope of 0,5 2,3

EleoNora [17]

Answer:

y = -x + 5

0 is 0, +5 = 5

-2 + 5 = 3

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3 years ago

The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?

Anit [1.1K]

For proportionality constant problems, set up the equation as,

$x=Ky$ ,

Where x and y are the two variables you are comparing and K is the proportionality constant. If we take Caramel Corn values as x and Cheddar Corn values as y, and then solve for K for each ratio lines, we will get the same answer. Let's check.

$15=K(10)\\K=\frac{15}{10}= \frac{3}{2}$ ,