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2 years ago

Are the triangles similar? If so state the similarity and the postulate or theorem that justifies your answer.

Mathematics

1 answer:

tester [92]2 years ago

7 0

Answer:

Step-by-step explanation:

∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.

Let's find out:

DE/AB = 10/5 = 2

EF/BC = 8/4 = 2

FD/CA = 12/6 = 2

The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.

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Simon drove for 2 1/2 hours to get from his house to the beach. Simon averaged 55 miles per hour on the trip. What is the distan

VARVARA [1.3K]

Answer:

137.5 Miles

Step-by-step explanation:

Time driven=5/2 hours

Miles per hour=55

55 times 5/2= 137.5 miles

6 0

3 years ago

For each equation how many solutions why?<br> Question e

Kay [80]

Answer:

one real solution

Step-by-step explanation:

it has only one solution since it is a linear graph and only intercepts the x axis once

4 0

2 years ago

A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

7 0

3 years ago

In the zoo, there are 12 elephants, 8 giraffes, 9 lions, 10 seals, and 16 otters.

xenn [34]

Answer:

16/55

Step-by-step explanation:

If you add all the animals together then put it in fraction form you have 16/55

7 0

3 years ago

Read 2 more answers

Find the perimeter and area of a 4 m by 12 m<br> rectangle.

Ann [662]

Answer:

P=32m

A=48 m^2

Step-by-step explanation:

if two shorter sides are 4m each and the two longer sides are 12 m

4+4+12+12 to find the total P

Area, time the LENGTH by WIDTH to find the squared meters in the rectangle .

4x12 = AREA

5 0

3 years ago