Guys I need helpppp plsss ??

Each pair of polygons is similar. Find the value of x.

Rus_ich [418]

Answer:

The value of x is 1.5

Step-by-step explanation:

<em>In similar figures, corresponding sides have the same ratio</em>

In the given figure

∵ There are 2 similar polygons

∴ We must write their names with corresponding angles

∵ ∠A = ∠L, ∠B = ∠M, ∠C = ∠N, ∠D = ∠P

∴ Their names are ABCD and LMNP

→ By using the rule above

∴ Their corresponding sides have the same ratio

∴ $\frac{AB}{LM}$ = $\frac{BC}{MN}$

∵ AB = 14 and LM = x + 9

∵ BC = 10 and MN = x + 6

→ Substitute them in the ratio up

∴ $\frac{14}{x+9}$ = $\frac{10}{x+6}$

→ By using the cross multiplication

∵ 14 × (x + 6) = 10 × (x + 9)

∴ 14(x) + 14(6) = 10(x) + 10(9)

∴ 14x + 84 = 10x + 90

→ Subtract 10x from both sides

∵ 14x - 10x + 84 = 10x - 10x + 90

∴ 4x + 84 = 90

→ Subtract both sides by 84

∵ 4x + 84 - 84 = 90 - 84

∴ 4x = 6

→ Divide both sides by 4 to find x

∴ x = 1.5

∴ The value of x is 1.5

6 0

3 years ago

There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b

nignag [31]

Complete question is;

There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?

I. d < c

II. d > b

III. c/3 < d <a/3

A) I only

B) III only

C) I and III only

D) II only

E) I, II and III

Answer:

The correct option is C

Step-by-step explanation:

From the question, the 3 hoses combined together will fill the pool faster than the time for the hoses to accomplish it individually. Therefore, the time "d" will be lesser than any of the individual times used by each hose.

Hence, statement I is true and II is false.

Now, we know that if each of the three hoses took c days to complete the job, then together they would take c/3 days. However, in reality, two of the three hoses even took more than c days. So, in a nutshell together they would take more than "c/3" days, and therefore d > c/3.

Likewise, if each of the three hoses took "a" days to finish the job, then when combined together, they would take "a/3" days. Now, two of the three hoses used fewer than "a" days and so when combined together they would take less than "a/3" days and therefore d < a/3.

If we combine the last 2 paragraphs, we will arrive at c/3 < d < a/3 and that is same as statement III.

Thus, statement I and III are true. The correct option is C

4 0

3 years ago

Select the expressions that are equivalent to 6z+7z.

vampirchik [111]

Answer: 13z

Step-by-step explanation: combine 6z and 7z to get 13z

7 0

3 years ago

Read 2 more answers

What is the constant of proportionality in the equation? y = 5 x

KonstantinChe [14]

Answer:

5

Step-by-step explanation:

8 0

4 years ago

Wht about this? i dont know how to do it :')

bagirrra123 [75]

multiply the pro #s by the con ones

5 0

4 years ago