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stepladder [879]
3 years ago
14

I don’t understand need it by tomorrow!

Mathematics
2 answers:
snow_tiger [21]3 years ago
6 0

Explanation:

It can help to draw your own figure with the right angles better represented. You will notice that right triangles PQR and PRS share side RS. PQ is the hypotenuse of one of them; RS is the hypotenuse of the other.

We can write two equations that make use of the Pythagorean theorem:

  PQ² = PR² +RQ²

  RS² = QS² +RQ²

Then we can swap sides of the first equation and subtract the second equation. This gives ...

  (PR² +RQ²) -(RS²) = (PQ²) -(QS² +RQ²)

Adding RQ², we can write this as ...

  PR² -RS² +2RQ² = PQ² -QS²

__

The given relationship PR > RS means that PR² -RS² will be positive, so the left side of this equation must be positive.

Since PQ² - QS² is a positive number, PQ > QS.

Mandarinka [93]3 years ago
6 0

Step-by-step explanation:

In the right triangle PQR we have the side PQ is the hypotenuse then

PQ > PR

and since  PR > RS (given) then PQ > RS (1)

In the right triangle QRS we have the side RS is the hypotenuse then

RS > QS (2)

finally ,

(1) + (2) give us PQ > QS

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Answer:

Step-by-step explanation:

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3 years ago
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Coffee table is 20% odd the original price of $115. If there is 7.5% sales tax, what is the final price of the coffee table?
netineya [11]
100%-20%= 80%=0.8

115(0.8)= 92

92(1.075)= 98.9

The final price of the coffee table is $98.90. 

Hope this helps! 
3 0
3 years ago
Decision Making: Matthew received a fax giving him the dimensions of the rectangular living room in his new apartment. The dimen
horsena [70]

Answer:

No

Step-by-step explanation:

His answer is incorrect.  If we round the dimensions, 3.76 m is almost 4 m, and 5.49 m is almost 5.5 m.  4 × 5.5 = 22.  So his answer should be close to 22 m².

5 0
3 years ago
What is the value of x?
castortr0y [4]

Answer:

68°

Step-by-step explanation:

Attached is an image of the isosceles triangle theorem.

Utilizing this theorem, we know that the bottom two angles are congruent, or the same.

We also know that there are 180° in a triangle. Lets find x!

1) Write an equation to find angle x:

56+56+x=180

2) Simplify

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3 years ago
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A 10-foot ladder leans against a wall. It hits the wall 9 feet up. How far is the base of the ladder from the wall? Apply the Py
ElenaW [278]

A 10-foot ladder leans against a wall. It hits the wall 9 feet up. How far is the base of the ladder from the wall? Apply the Pythagorean Theorem to this problem

triangle

side S1 = 9 feet

hypotenuse H = 10 feet

side S2 - X = ?

the Pythagorean Theorem

H x H = S1 x S1 + S2 x S2 = S1 x S1 + X x X

X x X = H x H - S1 x S1 = 10 x 10 - 9 x 9 = 100 - 91 = 9

X x X = 9

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How far is the base of the ladder from the wall? 3 feet

check:

H x H = S1 x S1 + X x X

10 x 10 = 9 x 9 + 3 x 3

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7 0
3 years ago
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