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Gnoma [55]
3 years ago
8

Which of the following sets could be the sides of a right triangle?

Mathematics
2 answers:
MArishka [77]3 years ago
5 0
In a right triangle the sum of the squares of the lengths of two shorter sides is equal to the square of the length of the longest side.

a.
2^2+3^2=(\sqrt{13})^2 \\
4+9=13 \\
13=13 \\ true

b.
2^2+2^2=4^2 \\
4+4=16 \\
8=16 \\
not \ true

c.
1^2+(\sqrt{3})^2=2^2 \\
1+3=4 \\
4=4 \\
true

The answer is A and C.
Lorico [155]3 years ago
3 0

Answer:

a. {2,3, sqrt of 13}

Hope this helps, and it's not to late because I know it was 5 years ago lol

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How do you simplify 52/45
rewona [7]

Answer:

1 (7/45)

Step-by-step explanation:

you'll see how many 45 can go into 52. Only 1 45 can fit into 52 with some leftover.

so to find the left over numbers you'll subtract 45 from 52= 7

so 7/45 is left over

5 0
3 years ago
Read 2 more answers
The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime
Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

<u><em>The complete question is</em></u>

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

so

\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}

Part B) Write a congruence statement for each of the four pair of corresponding angles.

we know that

If two figures are similar, then its corresponding angles are congruent

The corresponding angles are

∠A and ∠E

∠B and ∠F

∠C and ∠G

∠D and ∠H

so

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G

∠D ≅ ∠H

Part C) Determine the perimeter for each of the isosceles trapezoids

we have

The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

step 1

Find the measure of CD

Remember that

The ratio between corresponding sides is proportional and this ratio is the scale factor

Let

z ----> the scale factor

z=\frac{2}{3}

so

\frac{2}{3}=\frac{CD}{GH}}

we have

GH=6\ cm

substitute

\frac{2}{3}=\frac{CD}{6}}\\\\CD=4\ cm

step 2

Find the measure of AB

Remember that

AB is three times the length of DC

so

AB=3DC

DC=CD=4\ cm

substitute

AB=3(4)=12\ cm

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

so

BC=AD

we have

AD=8\ cm

therefore

BC=8\ cm

step 4

Find the perimeter of trapezoid ABCD

P=AB+BC+CD+AD

substitute the values

P=12+8+4+8=32\ cm

step 5

Find the perimeter of trapezoid EFGH

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ---> the scale factor

x ----> the perimeter of trapezoid ABCD

y ----> the perimeter of trapezoid EFGH

so

z=\frac{x}{y}

we have

z=\frac{2}{3}

x=32\ cm

substitute

\frac{2}{3}=\frac{32}{y}

y=32(3)/2=48\ cm

therefore

The perimeter of trapezoid EFGH is 48 centimeters

3 0
3 years ago
Perform the indicated operation. -10 + 15 <br><br> -5 <br> 5 <br> 25 <br> -25
Ulleksa [173]
The answer is 5 because if you add 10 to -10 it is 0 then add the 5 more and it is 5.
8 0
3 years ago
A General Motors buyer-incentive program offered a 5.5% rebate on the selling price of a new car. What rebate (in dollars) would
Mashcka [7]

Answer: he would receive a rebate of $1677.5

Step-by-step explanation:

A General Motors buyer-incentive program offered a 5.5% rebate on the selling price of a new car. This means that if the selling price of the new car is $x, the rebate (in dollars) that a customer would receive is

5.5/100 × x = 0.055 × x = 0.055x

Therefore, for a customer who purchased a $30,500 car under this program, the rebate that he would receive is

0.055 × 30500 = $1677.5

6 0
3 years ago
What is the volume of the prism below?
mamaluj [8]

Answer:

v=Bh

B=6×4.5

v=27×9

v=243ft³

5 0
2 years ago
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