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sveta [45]
2 years ago
11

What is the missing reason for the 4th step in the proof below?

Mathematics
1 answer:
e-lub [12.9K]2 years ago
6 0

The reason for step 4 that is missing is: definition of linear pair.

<h3>What is a Linear Pair of a Straight Line Angle?</h3>

A line pair are two angles on a straight line whose sum equals 180 degrees.

Angles ANV and ANR line on a straight line and are therefore linear pair. This implies that:

m∠ANV + m∠ANR = 180 degrees

Therefore, the missing reason is: definition of linear pair.

Learn more about linear pair on:

brainly.com/question/13218054

#SPJ1

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Use the quadratic formula to find the solutions for..<br> y = 2x^2 - 9x + 5.
Yakvenalex [24]

Answer: x=\frac{9}{4}-\frac{\sqrt{41} }{4}  \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}

Step-by-step explanation:

2x^2-9x+5

a=2

b=-9

c=5

x=\frac{-b\frac{+}{}\sqrt{b^2-4ac}  }{2a}

x=\frac{-(-9)\frac{+}{}\sqrt{(-9)^2-4(2)(5)}  }{2(2)}

x=\frac{9\frac{+}{}\sqrt{81-40}  }{4}

x=\frac{9\frac{+}{}\sqrt{41}  }{4}

x=\frac{9}{4}-\frac{\sqrt{41} }{4}  \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}

4 0
3 years ago
How much money will be in a bank account after 4 years if $8 is deposited at an interest rate of 5%?
stealth61 [152]

Answer:

$9.60

Step-by-step explanation:

The question above is a simple interest question.

The formula for the amount of money after a given period of time using simple interest is given as:

A = P(1 + rt)

Where

P = Initial Amount saved or invested = $8

R = Interest rate = 5%

t = Time in years = 4

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 8(1 + (0.05 × 4)) = 9.6

A = $9.60

The amount of money that will be in a bank account after 4 years is $9.60

7 0
3 years ago
Pls help 20 points if u answer
yarga [219]
I have absolutely no idea i hate math so much
3 0
3 years ago
A. What is 45/56 simplified?
dimulka [17.4K]

Answer:

Below in bold.

Step-by-step explanation:

In each case you divide top and bottom by the GCF.

A. The GCF of 45 and 56 is 1.

so the answer is 45/56.

B. 15/16 (GCF = 1)

C. Here the GCF is 5 so the answer is (35/5) / (80/5)

= 7/16.

D. 5/6 (GCF is 4).

8 0
3 years ago
Read 2 more answers
The distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 6 inche
Iteru [2.4K]

The <em><u>correct answer</u></em> is:

C.4.1 in

Explanation:

We will use a proportion for this problem.

In the first ratio, we have 6 inches: 80 pounds.  This can also be written as 6/80.

For the second ratio, we do not know the length; this is x.  The weight is 55; this gives us x/55.

This makes our proportion

6/80 = x/55

Cross multiplying, we have

6(55) = 80(x)

330 = 80x

Divide both sides by 80:

330/80 = 80x/80

4.125 = x

This means the answer is 4.1.

6 0
3 years ago
Read 2 more answers
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