Ask question

Ask question

All categories

3 years ago

11

Pentagon G was dilated from the origin by a scale factor of one half to create Pentagon G′. Which statement explains why the pen

tagons are similar?

1 answer:

Sergio [31]3 years ago

8 0

Answer:

the answer is Dilations preserve betweenness of points; therefore, the corresponding sides of pentagons G and G′ are proportional.

Step-by-step explanation:

i took the test and got it right

You might be interested in

Mr.willer wanted to donate 27cans of food to each of 8 food banks.Each of the 23 students in Mr.willers class donated 9 cans . H

Degger [83]

Mr.willer needs 216 cans because 27 vans times 8 banks equals 216 and 23 times 9 equals 207 so he would need 9 more cans

5 0

3 years ago

A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po

Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call $h$ the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is $h - 49$ .

The wire length $d$ is 14 ft longer than height $h$ , hence

$d= h+14$ .

Thus we get a right triangle with hypotenuse $d= y+14$ , perpendicular $h$ , and base $h-49$ ; therefore, the Pythagorean theorem gives

$(h-49)^2+h^2 = (h+14)^2$

which upon expanding we get:

$h^2-98h+2401 = h^2+28h+196$

further simplification gives

$h^2-126h+2205=0$ ,

which is a quadratic equation with solutions

$h =21ft\\h = 105ft.$

Since the first solution $h =21ft$ will give the triangle base length of $21ft-49ft = -28ft$ which is negative; therefore, we disregard it and pick the solution $h = 105ft$ .

Hence, the height of the pole is 105ft.

3 0

3 years ago

Avery wants to make a triangular garden but needs to fence it in to keep rabbits out.How can she figure out how much fencing to

nexus9112 [7]

Find the perimeter of the garden find out what kind of triangle the garden is for example if it is a right triangle it has to equal up to 90.

To find the area remember that A=b•h2 as a=area

3 0

3 years ago

Estimate the answer to 341÷28

Dmitriy789 [7]

To estimate this question, you can round the numbers to be compatible, to make it easier for yourself. The numbers should be able to be divided cleanly, as this is an estimate, not the actual problem solving. You could, for example, round 341 to 300, and 28 to 30, and divide them to get 10.
Hope that helped.

3 0

3 years ago

Read 2 more answers

Hitman42 [59]

Answer:

Assignment: 01.07 Laboratory TechniquesAssignment: 01.07 Laboratory Techniques

Step-by-step explanation:

Assignment: 01.07 LaboratoryAssignment: 01.07 Laboratory Techniques TechniquesAssignment: 01.07 Laboratory TechniquesAssignment: 01.07 Laboratory Techniques

8 0

2 years ago