Find x in the picture

In the problem we’re supposed to find the value of x that makes ABC ~ RST I can’t figure it out can someone please help

navik [9.2K]

Answer:

Step-by-step explanation:

if the triangles are similar then their sides are in proportion ( or you can think that they make equivalent fractions like 2/3 = 4/6 )

44/ (x+2) = 20/7 = 3x+1 /5 ( all of those are equivalent fractions)

use that $\frac{a}{b} =\frac{c}{d}$ is the same as a*d = b*c

$\frac{44}{x+2} =\frac{20}{7}$ is the same as 20(x+2) = 7*44

20x +40 = 308; subtract 40 from both sides

20x = 268; divide by 20 both sides

x= 13.4

8 0

3 years ago

One can convert temperature from Fahrenheit into Newton using the formula N=11/60(F-32) . What is the temperature in Fahrenheit

Rasek [7]

We are given

$N=\frac{11}{60} (F-32)$

Since, we have to solve for F

so, we will isolate F on anyone side

step-1:

Multiply both sides by 60

$60\times N=60\times \frac{11}{60} (F-32)$

$60N=11 (F-32)$

step-2:

Divide both sides by 11

$\frac{60N}{11} =\frac{11(F-32)}{11}$

$\frac{60}{11}N =F-32$

step-3:

Add both sides by 32

$\frac{60}{11}N+32 =F-32+32$

$\frac{60}{11}N+32 =F$

so, we get

$F=\frac{60}{11}N+32$ ................Answer

5 0

3 years ago

HELPPPPPPPPPPPPPPPPPPP

IceJOKER [234]

The answers is A !! No problem

5 0

3 years ago

Which of the vectors below is the sum of vectors a and b, shown here?

Fofino [41]

Answer:

Option C

Step-by-step explanation:

To answer this question you must use the parallelogram method shown in the attached image.

To answer this question, use the parallelogram method as shown in the attached image.

-Place the vectors a and b at the same point of origin.

-On the tip of the vector b draws a vector a.

-On the tip of vector a to draw a vector b.

-Draw a vector "f" that goes from the origin to the corner of the parallelogram.

The vector "f" represents the sum of the vector a with the vector b.

The correct option is C

7 0

4 years ago

A type of bacteria has a very high exponential growth rate of 80% every hour. If there are 10 bacteria, determine how many will

Lana71 [14]

<h3>There are 189 bacteria in 5 hours</h3><h3>There are 13382588 bacteria in 1 day</h3><h3>There are $10(1.8)^{168}$ bacteria in 1 week</h3>

<em><u>Solution:</u></em>

Given that,

A type of bacteria has a very high exponential growth rate of 80% every hour

There are 10 bacteria

<em><u>The increasing function is given as:</u></em>

$y = a(1+r)^t$

Where,

y is future value

a is initial value

r is growth rate

t is time period

From given,

a = 10

$r = 80 \5 = \frac{80}{100} = 0.8$

<em><u>Determine how many will be in 5 hours</u></em>

Substitute t = 5

$y = 10(1 + 0.8)^5\\\\y = 10(1.8)^5\\\\y = 10 \times 18.89568\\\\y \approx 188.96$

y = 189

Thus, there are 189 bacteria in 5 hours

<em><u>Determine how many will be in 1 day ?</u></em>

1 day = 24 hours

Substitute t = 24

$y = 10(1 + 0.8)^{24}\\\\y = 10(1.8)^{24}\\\\y = 10 \times 1338258.84\\\\y = 13382588.45\\\\y \approx 13382588$

Thus, there are 13382588 bacteria in 1 day

<em><u>Determine how many will be in 1 week</u></em>

1 week = 168

Substitute t = 168

$y = 10(1 + 0.8)^{168}\\\\y = 10(1.8)^{168}$

Thus there are $10(1.8)^{168}$ bacteria in 1 week

6 0

3 years ago