All categories

4 years ago

Mary ran 2 miles in about 23 minutes. If she continued at the same pace, how long will it take her to run 10 miles?

Mathematics

1 answer:

ZanzabumX [31]4 years ago

8 0

Answer:115 minutes

Step-by-step explanation:

Set you problem 2/23 = 10/x

X represents the number of minutes you are trying to figure out. Cross multiply to get 2x=230. Decide both sides by 2 to get x=115

You might be interested in

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

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

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

∠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

$z=\frac{2}{3}$

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

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

$AB=3DC$

$DC=CD=4\ cm$

substitute

$AB=3(4)=12\ cm$

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

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

$z=\frac{x}{y}$

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

I need help with this. can anyone help me please.

Dmitriy789 [7]

Answer:

Step-by-step explanation:

yeah 2+2 is 21 thanks for the very nonexistent question

4 0

2 years ago

Read 2 more answers

I haven’t really understood this yet

kakasveta [241]

A, F, and G.

The others have breaks in the range or don’t include all real numbers.

3 0

3 years ago

Plz show working for binary addition. please solve. 11000 + 110101 + 101011

olga_2 [115]

Answer: The answer to this is 222112

Step-by-step explanation: Its quite simple actually, you add all these numbers together, you bring up any ones that are extras then you add all the ones to the direct answer :> ( Hope this helps!)

4 0

3 years ago

What does equivalent ratios mean

Anna35 [415]

it means that u have to ratios that are equivalent in weight meaning 3:3 = 1 and so is 6:6=1

7 0

4 years ago