Hiii pleasee help if u know it :)

PLEASE HELP!!!

larisa86 [58]

Answer:

The expression is 10t = 65

Step-by-step explanation:

At the point where the local train and the express train meet, both trains would have travelled an equal distance.

A local train leaves the station in Springfield traveling toward New York City at a constant rate of 55 mph.

Let t represent the time it spent in travelling a given distance.

Distance = speed × time

Therefore,

Distance travelled by the local train is 55 × t = 55t

The express train headed for New York City on the same route leaves the station 1 hour later. The rate of the express train is 65 mph. It means that total time spent travelling the same distance as the local train is t - 1

Therefore, distance travelled is

65(t - 1)

Since the distance travelled is the same, therefore,

55t = 65t - 65

65t - 55t = 65

10t = 65

7 0

3 years ago

What is the factorization of 81a6 - 100? (9a2 − 10)(9a3 + 10) (9a2 − 10)(9a3 − 10) (9a3 − 10)(9a3 + 10) (9a3 − 10)(9a3 − 10)

pychu [463]

Answer:

(9a³ − 10)(9a³ + 10)

Step-by-step explanation:

Difference of squares

(9a³ − 10)(9a³ + 10)

4 0

3 years ago

You would like to start a club for psychology majors on campus, and you are interested to find out what proportion of psychology

Natalija [7]

From the sample used to find out what psychology majors would join the club and if it is biased, we can say that;

- Yes, the sampling method is biased.

- The likely direction of the bias is because you only asked 5 people which

is not a significant percentage of those offering psychology majors and as

such the 4 out of 5 gotten is likely going to be an over estimation of those

who are willing to pay to join this club.

We are told that;

You want to start a club.

This club is for psychology majors.

You want to find the proportion of those in the psychology majors that will join this club you want to organize.

Now, out of all the students offering psychology majors, you only asked 5 of them if they will be interested. Since 4 out of the 5 are interested and you want to use that to form a basis of the proportion of those interested , it would lead to sampling bias since the population is not adequately represented.

Therefore, this would lead to sampling bias and thus the sample is biased.

Read more at; brainly.com/question/12637861

8 0

3 years ago

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:

The complete question is

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

2 years ago

Write an expression that is equivalent to

finlep [7]

Answer:

15/2r - 40; Distributive Property

Step-by-step explanation:

You can use the Distributive Property to multiply the 5 across the expression in the parentheses.

5(3/2r - 8)

5 × 3/2r = 15/2r

5 × -8 = -40

Combine.

15/2r - 40

Hope this helps!

5 0

2 years ago

Hiii pleasee help if u know it :)​

Hiii pleasee help if u know it :)