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Y_Kistochka [10]
3 years ago
13

The two triangles are similar.

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

  • x = 10

Step-by-step explanation:

<u>The ratio of corresponding sides of similar figures is same:</u>

  • 3x/20 = (4x + 2)/(20 + 8)
  • 3x/20 = (2x + 1) / 14
  • 3x(14) = (2x + 1)(20)
  • 42x = 40x + 20
  • 2x = 20
  • x = 10
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What is an equation of a line that passes through the point (-3 -7) and it’s parallel to the line 2x-3y=24
andrew-mc [135]

Answer:

y=(-2/3)x-9

Step-by-step explanation:

1) first put the equation in terms of y. You should get y=-(2/3)x-8.

2) parallel lines have the same slope so the slope for this line and the answer should be the same

3) using the form y=mx+b plug (-2/3) in as the slope or m

4) plug the point in to get your b value. you should have -7 =((-2/3)•(-3))+b

5) isolate the variable b and plug in your answer to the equation.

6 0
3 years ago
The sum of 4 times a number and 2 equals 8
NikAS [45]

Answer:

1.5   or   3/2

Step-by-step explanation:

4x+2=8

4x=6

x=6/4

x=3/2

5 0
3 years ago
The temperature at a ski resort was 12°F at 5:00 A.M. If the temperature increased by 1.5°F each hour, what would be the tempera
Mariana [72]

The <em><u>correct answer</u></em> is:

22.5° F.

Explanation:

The temperature increases 1.5° per hour.  From 5:00 AM to 12:00 PM is 12-5 = 7 hours.  This makes an increase of 1.5(7) = 10.5°.

The temperature started at 12°F; increasing by 10.5° gives us

12+10.5 = 22.5°F.

3 0
3 years ago
Explain answer !! <br><br> ( WILL GIVE BRAINLEST)
kicyunya [14]

Answer:

25-7

Step-by-step explanation:

"Substitute for": Replace x with ____

Since it is given that x = 25 -y, we can replace the x in 5x + y = 10 with 25 - y by the substitution property of equality.

6 0
2 years ago
Read 2 more answers
Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of
VashaNatasha [74]

Answer:

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Step-by-step explanation:

Sample information:

Size     n = 100

mean   x = 28,5

Population information

μ₀  =  30

Standard deviation  σ   = 8

Test Hypothesis

Null Hypothesis          H₀                x =  μ₀

Alternative Hypothesis   Hₐ           x <  μ₀

We assume CI = 95 %   then α = 5 %    α = 0,05

As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery

A z(c) for 0,05 from z-table is:  z(c) = - 1,64

z(s) = ( x - μ₀ ) / σ/√n

z(s) = ( 28,5 - 30 ) / 8/√100

z(s) = - 1,5 * 10 / 8

z(s) =  - 1,875

Comparing z(s)  and z(c)

|z(s)| < |z(c)|        1,875  > 1,64

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

3 0
3 years ago
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