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3 years ago

Determine if the following shapes are similar.

Mathematics

1 answer:

il63 [147K]3 years ago

8 0

Answer:

Step-by-step explanation:

25-18 = 7 w

45-36=9 l

They don't match up ^

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The coordinates of the vertices of ∆PQR are P(-2,5), Q(-1,1), and R(7,3). Determine whether ∆PQR is a right triangle. Show your

Mashutka [201]

Given

∆PQR points are P(-2,5), Q(-1,1), and R(7,3)

Determine whether ∆PQR is a right triangle

To proof

As given ∆PQR points are P(-2,5), Q(-1,1), and R(7,3)

First find out the sides of triangle

FORMULA

Distance formula between two points

$D^{2}= (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}$

Distance between two points P(-2,5) and Q(-1,1)

$PR = \sqrt{(-1+2)^{2}+(1-5)^{2} }$

$PR = \sqrt{17}$

Distance between two points Q(-1,1)and R(7,3)

$QR = \sqrt{(7+1)^{2} +(3-1)^{2} }$

$QR =\sqrt{68}$

Distance between two points R(7,3) and P(-2,5)

$RP =\sqrt{(-2-7)^{2} + (5-3)^{2} }$

$RP=\sqrt{85}$

now show that ∆PQR is a right triangle

$RP^{2} = PQ^{2} +QR^{2}$

Putting the value given above

$(\sqrt{85}) ^{2} = \sqrt{17} ^{2} +\sqrt{68} ^{2}$

85 = 17 +68

85 =85

In the right triangle

HYPOTENUSE² = BASE² + PERPENDICULAR²

This is prove above

Hence ∆PQR is a right triangle

Hence proved

7 0

4 years ago

VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.

Vanyuwa [196]

Answer:

its 100% d.)

Step-by-step explanation:

plz mark me

3 0

3 years ago

Dilate triangle ABC using a scale factor of 1/5. what are the corresponding coordinates for vertices A', B', and C'?

Natasha_Volkova [10]

Answer:

A' is 1, -3/5

B' is -1, -3/5

C' id -1/5, 1

3 0

3 years ago

Pls help !!!!! i'll mark brainliest

ExtremeBDS [4]

Answer:

Last year there were 550 bison in the heard and this year it is 10% larger.

10% is also 10/100 or 0.10

To find 10% of the heard last year

550 x.0.10 = 55. To find the number in the heard this year add 550 (last year) + 55 (10% growth) = 605 or,

to find how many there are now last years heard size was 100% of the heard or 1.00. To find any percent more add it to 1.00 and multiply by the starting amount.

550 x 1.10 = 605

For the second example.

If there are 550 bison in the heard this year, and this year was a decrease of 10% from last year we can express last year's number like this.

550 = (x - (x * 0.10)) simplify;

550 = 1x - 0.10x

550 = 0.90x

Divide both sides by 0.90

x = 611.11 but it's hard to have 0.11 of a bison so realistically 611 bison last year. Subtract 10% or 61 and you indeed have 550 this year.

5 0

3 years ago

A biker cycles 9 miles in 2 3 of an hour.

Aloiza [94]

Answer:

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

3 0

4 years ago

Read 2 more answers