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vovangra [49]
2 years ago
5

The following uses a 4-step proof, starting with the given statement. Complete the following proof

Mathematics
1 answer:
AlladinOne [14]2 years ago
8 0

1) \overline{JK} \perp \overline{MN}

2) \angle JKM is a right angle (perpendicular lines form right angles)

3) \triangle JKM is a right triangle (definition of a right triangle)

4) \angle 1 and \angle 2 are complementary (the acute angles of a right triangle are complementary)

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What number should be added to both sides of the equation to complete the square? x^2 â 10x = 7?
Harman [31]
You should add 25 because you should always add the square of the p value (which is equal to half of the b value, which makes the p value 5).
Basically, the p value should be half of b and the square root of c.
5 0
3 years ago
What is the solution of x+8/5x-1>0?
DerKrebs [107]

Answer:

x<-8 or x>1/5

Step-by-step explanation:

\frac{x+8}{5x-1} >0

First we replace > symbol by = sign

\frac{x+8}{5x-1} =0

To solve for x we multiply 5x-1 on both sides

x+8 =0

x=-8

5x-1=0 solve for x

x= 1/5

WE got two values x=-8  and x= 1/5

Now we make a number line and check with each interval

x<-8,  -8<x<1/5,  x>1/5

Pick x= -9 and check with the given inequality

\frac{-9+8}{5(-9)-1} >0

1/46 >0 is true, so x<-8 satisfies our inequality

Pick x= 0 and check with the given inequality

\frac{0+8}{5(0)-1} >0

-8 >0 is false , -8<x<1/5 does not satifies our inequality

Pick x= 2 and check with the given inequality

\frac{2+8}{5(2)-1} >0

10/9>0 is true , x>1/5  satisfies our inequality

3 0
3 years ago
Read 2 more answers
60 milligrams = ______ km
balandron [24]
60 mg is equal to .00006 kg
3 0
3 years ago
Leena bought 14 yards of wire. How many inches of wire did she buy? (1 yard = 36 inches)
lawyer [7]

Answer:

504

Step-by-step explanation:

So, lets calculator this.

For each yard, there are 36 inches.

There are 14 yards.

To find the amount of inches in this 14 yards, we need to multiply 14 by 36:

14x36

=

504

So there are 504 inches of wire in 14 yards.

Answer:

<u>504</u>

Hope this helps! :)

5 0
3 years ago
Read 2 more answers
What is the slope of the line that goes through the points (2,-1) and (6,1)
drek231 [11]

Answer: The slope is \frac{1}{2}.

Step-by-step explanation:

1. You set up your Slope Formula M=\frac{y2-y1}{x2-x1}.

2. Substitue your points into the formula.M=\frac{1--1}{6-2}.

3. Once you substitute, you will solve the equationM=\frac{2}{4}.

4. Simplify the equation if you have to M=\frac{1}{2\\}.

7 0
3 years ago
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