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3 years ago

What is the value of x? x= units

Mathematics

2 answers:

Paladinen [302]3 years ago

4 0

The interior triangles are similar, so the following ratio should hold true:

9 x
--- = ------ then x^2=144 and x=12 (answer)
x 16

shtirl [24]3 years ago

3 0

Triangles RTS and QTr are similar So
x/ 16 = 9/x
x^2 = 144

x = 12 (answer)

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Step-by-step explanation:

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Can anyone help me with these questions plz

KonstantinChe [14]

Answers:

7: 20 miles

8: 28 miles

9: 1 error

10: Their speed is 50

11: 365 words in 5 mins

Step-by-step explanation:

#7 and #8

Our equation is: $f=2.25+0.20(m-1)$ With f meaning "fare" (price) and m meaning "miles".

Question 7 - Juan's fare for his ride costs $6.05. We must solve for $m$ .

Step 1. Substitute - Substitute the fare for $f$ in the equation.

$6.05=2.25+0.20(m-1)$

Step 2. Simplify/Solve - Solve for $m$ .

$6.05=2.25+0.20(m-1)$

- Distribute

$6.05=2.25+0.2m-0.2$

- Subtract 0.2 from 2.25

$6.05=2.05+0.2m$

- Subtract -2.05 from 6.05

$4=0.2m$

- Divide both sides by 0.2

$20=m$

And you have your answer of 20 miles.

Question 8 - Same equation, different fare.

Step 1. Substitute

$7.65=2.25+0.20(m-1)$

Step 2. Solve

$7.65=2.25+0.20(m-1)\\7.65=2.25+0.20m-0.20\\7.65=2.05+0.20m\\5.6=0.20m\\28=m$

And like so, we have $m = 28$

Questions 9 - 11

The equation given is $S=\frac{1}{5} (w-10e)$ . S = typing speed, w = words per 5 mins, and e= errors.

Question 9 -

We are given this information: S = 55, W = 285. We are solving for e.

Substitute -

$55=\frac{1}{5} (285 -10e)$

Solve -

$55=\frac{1}{5} (285 -10e)\\55=\frac{1}{5} (285 -10e)\\55= 57-2e\\-2=-2e\\1=e$

So they would make 1 error.

Question 10 -

Information given: 300 = w, 5=e. We are solving for S

Substitute -

$S= \frac{1}{5} (300-10(5))$

Solve -

$S= \frac{1}{5} (300-10(5))\\S= \frac{1}{5} (300-50)\\S= \frac{1}{5} (300-50)\\S= \frac{1}{5} (250)\\S= 50$

Their speed is 50.

Question 11 -

Information given: S = 65, e = 4. We are solving for w.

Substitute -

$65=\frac{1}{5} (w-10(4))$

Solve -

$65=\frac{1}{5} (w-10(4))\\65=\frac{1}{5} (w-40)\\65=\frac{1}{5}w-8\\73=\frac{1}{5}w\\365=w$

So w = 365.

Hoped this helped!~

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3 years ago