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MA_775_DIABLO [31]
3 years ago
12

Assemble the proof by dragging tiles to the statements HELLPPPPPP PLEASEEEE

Mathematics
2 answers:
TEA [102]3 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

1. JK\cong LM - given

2.  JL\cong LN - definition of midpoint (the midpoint of the segment divides the segment into two congruent segments)

3. \angle LJK\cong \angle NLM - corresponding angles theorem (corresponding angles theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.)

4. \triangle JLK\cong \triangle LNM - SAS (SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent).

solong [7]3 years ago
6 0

Step-by-step explanation:

Triangle Congruence :SAS

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The length of a rectangular carpet is 4 feet greater than twice its width. If the area is 48 square feet, find the carpet’s leng
Sonbull [250]

l = 2w + 4

l * w = 48

We can substitute l with its value:

2w + 4 * w = 48

2w^2 + 4w - 48 = 0

2(w^2 + 2w - 24) = 0

2(w+6)(w-4) = 0

w = {4, -6}

5 0
3 years ago
An estimated regression equation that was fit to estimate ductility in steel using its carbon content was found to be significan
AnnZ [28]

Answer:

At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.

Step-by-step explanation:

Hello!

Considering the dependent variable:

Y: Ductility in steel.

And the independent variable:

X: Carbon content of the steel.

The linear regression was estimated and a prediction interval was calculated.

The prediction interval is calculated to predict a value that the variable Y (response variable) can take for a given value of the variable X (predictor variable) in the definition range of the linear regression line. Symbolically [Y/X=x_{0}]

In this case 95% prediction interval for Y/X=0.5

At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.

I hope it helps!

6 0
3 years ago
What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
Leviafan [203]
-x^2+2x+3=x^2-2x+3  add x^2 to both sides

2x+3=2x^2-2x+3  subtract 2x from both sides

3=2x^2-4x+3  subtract 3 from both sides

2x^2-4x=0  factor

2x(x-2)=0

So x=0 and 2
3 0
3 years ago
Read 2 more answers
Describe an easy way to find the square root<br> when the number is not a perfect square?
marissa [1.9K]

The product of a rational number multiplied by itself is called as a perfect square.,we can easily find out the square root for a number which is a imperfect square

Step-by-step explanation:

using the following formula we can find a square root for a number which is a imperfect square

X = Non perfect square

√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )

√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )Example

√38

the nearest perfect root is 36

36 (√36=6)

so √38 = √36 + (38-36)/2√36

= 6 + 2/12

=6 + 1/6 = 6.166 (answer)

√38 the nearest perfect root is 36 36 (√36=6)so √38 = √36 + (38-36)/2√36 = 6 + 2/12=6 + 1/6 = 6.166 (answer)

7 0
3 years ago
What is the slope of the line on the graph?<br> The two coordinates are ( 3, -3) and ( 0, -1 )
Drupady [299]

Answer:

The slope is -2/3.

Step-by-step explanation

Let m represent the slope.

m= rise/run= y2-y1/x2-x1

-1 - (-3)/0-3

2/-3

-2/3

3 0
2 years ago
Read 2 more answers
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