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3 years ago

Match the vocab word with the definition:

Mathematics

1 answer:

love history [14]3 years ago

4 0

A:8

B:14

C:3

D:11

E:7

F:4

G:1

H:12

J:9

K:10

L:2

M:6

N:5

O:13

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The two quadrilaterals below are similar. What is the length of EF?

damaskus [11]

EF = 15 cm.

Step-by-step explanation:

Step 1:

If the quadrilaterals, ABCD and EFGH are similar their side lengths will be of the same ratio throughout.

Comparing the quadrilaterals, we have AB and EF are similar, BC and FG are similar, CD and GH are similar, DA and HE are similar.

So the ratio of all these sides will be equal.

Step 2:

$\frac{AB}{EF} :\frac{BC}{FG} : \frac{CD}{GH} :\frac{DA}{HE} .$

Of these lengths, we only have the values for AB, BC, CD, DA, GH, HE and need to determine the length of EF. By substituting the known values the ratio becomes;

$\frac{5}{EF} :\frac{4}{12} :\frac{6}{18} .$

$\frac{5}{EF} : \frac{1}{3} : \frac{1}{3} .$

So $EF = 3(5) = 15$ cm. Which is the second option.

6 0

3 years ago

Owen solves the equation below and his steps are shown. When he plugged his solution back into the original equation, he did not

Usimov [2.4K]

Answer:

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

The correct value of x is 3.6

Step-by-step explanation:

To solve the given equation, we will follow the steps below;

3 (x-4) = -4 - 2 (x-5)

step 1 : open the parentheses

That is, 3x - 12 = -4 - 2x + 10

Step 2 : simplify, that is, yo can add the or subtract like terms

hence

3x - 12 = -2x -4 + 10

step 3 :

3x - 12 = -2x + 6

step 4 : Add 2x to both-side of the equations in order to nullify the 2x on the right-hand side of the equation

3x + 2x - 12 = -2x + 2x + 6

step 5:

5x - 12 = 6

step 6: Add 12 to both-side of the equation

5x - 12 + 12 = 6 + 12

step 7

5x = 18

Step 8: divide both-side of the equation by 5

5x/5 = 18/5

step 9:

x =3.6

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

That is why he got the wrong answer.

4 0

3 years ago

Please help me...I will give brainliest. Please dont answer if you dont know. I really need this. Thankyou have a good day:)

enyata [817]

Answer:

7: 45.2 (rounded from 45.21)

8: 114.5 (rounded from 114.45)

9: 115.9 (rounded from 115.86)

10: 105.6 (rounded from 105.56)

and of course the unit is cm3

Step-by-step explanation:

4 0

3 years ago

Given that f(x) = x2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4 find each function.

choli [55]

Answer:

A) x² + 7x - 9

Step-by-step explanation:

Deduct\Add each like-term to arrive at your answer.

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3 years ago

What are the answers to 18-38

anygoal [31]

The answer to your question is 20

4 0

3 years ago