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sveticcg [70]
3 years ago
13

HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!

Mathematics
1 answer:
Mumz [18]3 years ago
3 0

Answer:

<h2>1. x = 4</h2><h2>2. x = 20</h2>

Step-by-step explanation:

1.

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

\dfrac{AC}{AJ}=\dfrac{AB}{AK}

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

\dfrac{5}{1}=\dfrac{1+x}{1}

5=1+x           <em>subtract 1 from both sides</em>

4=x\to x=4

2.

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

\dfrac{VU}{VM}=\dfrac{VT}{VN}

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

\dfrac{x+8}{x}=\dfrac{49}{35}              <em>cross multiply</em>

35(x+8)=49x          <em>use the distributive property a(c + b) = ab + ac</em>

35x+280=49x              <em>subtract 35x from both sides</em>

280=14x         <em>divide both sides by 14</em>

20=x\to x=20

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What is the domain of the function below?<br> {0,2 3,1 5,2 8,4
lapo4ka [179]
The choices are the below that can be found elsewhere:

<span>a. { 1, 2, 4 }
b. { 0, 3, 5, 8 }
c. { 0, 1, 2, 3, 4, 5, 8 }
d. { ( 0, 2 ), ( 3, 1 ), ( 5, 2 ), ( 8, 4 ) }
</span>
The answer is B <span>because the domain is just the X-values of the ordered pairs and you cant repeat them.</span>
7 0
3 years ago
Contributions to the annual Grayson School fund raising campaign were 10% greater in 1984 than they were in 1983. In 1983, contr
Kobotan [32]

Answer:

6774.075

Step-by-step explanation:

1984: 8855

1983: 8855*10/100=885.5

8855-885.5

7969.5

1982

7969.5*15/100=1195.425

7969.5-1195.425

6774.075

3 0
3 years ago
What is 7.8 × 105 m/h in kilometers per day? A. 3.24 × 1010 km/day B. 3.24 × 108 km/day C. 1.872 × 106 km/day D. 1.872 × 104 km/
damaskus [11]
The comparison may be done by the dimensional analysis and the proper conversion factor. That is,
   (7.8 x 10^5 m/h) x (1 km / 1000 m) x (24 h / 1 day) = 18720 km / day
The scientific notation of the answer is 1.872 x 10^4 km/day. Thus, the answer is letter D. 
8 0
3 years ago
What is 45% of 432? and how?
mr Goodwill [35]
1. We assume, that the number 432 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 432 is 100%, so we can write it down as 432=100%. </span>
<span>4. We know, that x is 45% of the output value, so we can write it down as x=45%. </span>
5. Now we have two simple equations:
1) 432=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
432/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 45% of 432

432/x=100/45
<span>(432/x)*x=(100/45)*x       - </span>we multiply both sides of the equation by x
<span>432=2.22222222222*x       - </span>we divide both sides of the equation by (2.22222222222) to get x
<span>432/2.22222222222=x </span>
<span>194.4=x </span>
x=194.4

<span>now we have: </span>
<span>45% of 432=194.4</span>
6 0
4 years ago
Read 2 more answers
What's the value of -2/5-(-9/15)?
ollegr [7]

9514 1404 393

Answer:

  B.  -2/5+9/15 = 3/15

Step-by-step explanation:

The only two answer choices that have -2/5 as part of the sum are B and C. Of those, choice C incorrectly represents the subtraction of -9/15.

The only reasonable choice is B.

__

The result can be reduced from 3/15 to 1/5 by removing a factor of 3 from numerator and denominator.

8 0
3 years ago
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