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3 years ago

9

Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or the theorem you used.

If not, explain.

1 answer:

Deffense [45]3 years ago

7 0

These are dilated triangles you would have to divide the large triangle by the small triangle

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Which expression is equivalent to 8/9 divided by 3/4

ipn [44]

Step-by-step explanation:

Dividing by a fraction is the same as multiplying with the opposite of the fraction. 8/9 / 3/4=8/9×4/3=32/27=1 5/27.

6 0

4 years ago

Read 2 more answers

Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the

docker41 [41]

Answer:

15 miles

Step-by-step explanation:

Let $x$ be the miles in the circular park path, $t_{L}$ the time Louisa takes to finish and $t_{C}$ the time Calvin takes to finish both in hours.

Then $x$ , the longitude is equal to the velocity times the time used to finish. So

$x=5t_{L}$

$x=6t_{C}$

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

$t_{C}=t_{L}-0.5$

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

$5t_{L}=6t_{C}$

In this last equation replace $t_{C}$ with the other equation and solve:

$5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3$

With Louisa's time find x:

$x=5t_{L}\\ x=5(3)\\ x=15$

7 0

3 years ago

A surveyor starts at the southeast corner of a lot and

elena-s [515]

Find the difference vertically( North and South) and the difference horizontally ( East and West)

Then use the Pythagorean Theorem.

600 North - 200 South = 400 m

400 West - 100 East = 300 m

Now using the Pythagorean Theorem;

400^2 + 300^2 = total displacement^2

Total displacement^2 = 160,000 + 90,000

Total displacement^2 = 250,000

Total displacement = √250,000

Total displacement = 500 m

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3 years ago

Which point on the number line best represents√57?

Cerrena [4.2K]

Answer:

8.

Step-by-step explanation:

$\sqrt{57} =\sqrt{3 * 19}$

Since this cannot be further simplified, we will calculate the square root of 57 with our calculators.

We find that the square root of 57 is 7.549834435, and since the tenths place is a 5, we will round up to the next whole number. So, the point on the number line that best represents the square root of 57 is 8.

Hope this helps!

7 0

3 years ago

Laura works at a coffee shop. Her boss has asked that she write down how many minutes each of the next 10 orders take to make. H

ASHA 777 [7]

Answer:

4

Step-by-step explanation:

6+2+4+2+2+7+5+6+3+3=40

40/10=4

Therefore the mean is 4

8 0

3 years ago