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2 years ago

Find the unknown lengths in the pair of similar triangles

Mathematics

1 answer:

777dan777 [17]2 years ago

5 0

Answer:

a = 3

b = 2

Step-by-step explanation:

The ratio of the corresponding sides of two similar triangles are always equal. Therefore,

9/a = 18/6 = 6/b

✔️Let's solve for a:

9/a = 18/6

9/a = 3

Cross multiply

a*3 = 9

Divide both sides by 3

a = 9/3

a = 3

✔️Let's find b:

18/6 = 6/b

3 = 6/b

3*b = 6

b = 6/3

b = 2

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Fill in the blank space z2 + 5z – 36 = (z – 4)(z +_)

labwork [276]

Answer=9

To solve this, we just have to find a number that, when added to -4, make a total of 5, and when multiplied by -4 make a total of -36.

x+-4=5

x*-4=-36

9 fits the parameters for both of these

9+-4=9
9-4=5
5=5

9*-4=36
36=36

8 0

3 years ago

Find the greatest common factor: 12ab^2c^4 + 20a^4bc^3 + 16a^3b

nordsb [41]

Option A

The greatest common factor is 4ab

Solution:

Given that,

We have to find the greatest common factor

$12ab^2c^4+20a^4bc^3+16a^3b$

First find the GCF of numbers

GCF of 12, 20, 16

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 4

Now find the GCF of variables

$ab^2c^4\\\\a^4bc^3\\\\a^3b$

Here,

ab is the greatest common factor

Therefore, GCF of variables is ab

Thus, GCF of given expression is: 4ab

5 0

2 years ago

If Alice would to leave her house around 6:30am and get back about 7:15am, but its a 21 mintue walk to and back. Will she make i

Naddik [55]

Before 7:15 is the answer.

6:30 + 21 minutes + 21 minutes puts the time back at 7:12.

5 0

2 years ago

Read 2 more answers

The square is divided into 3 parts.

Lorico [155]

1/3= 5/15
2/5= 6/15

5/15 + 6/15 = 11/15

15/15 - 11/15 = 4/15

Part C= 4/15

4 0

2 years ago

Read 2 more answers

A printing company charges $5.00 for the first 400 pages printed. For each page printed over 400, the customer is charged an add

Vadim26 [7]

Answer:

Step-by-step explanation:

Up to 400 pages, the cost is fixed at 5.00 dollars

After 400 pages the cost is 0.01 cents/page

It's not A. 400 is the number of pages. It is not a cost.
It's not B either. B means that no matter how many pages you print, it's going to cost 5 dollars + the number of pages times 1 cent.
C is not the answer. It is really just an answer put it. You pay 1 cent for each page between 400 and what you printed.
I think D is the answer, but if you get a negative number, then the cost is 5 dollars

5 0

2 years ago