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Rama09 [41]
3 years ago
7

Guys i need these answers badly so i would appreciate if someone responded Thanks !

Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0

Answer:

<u>Y is the midpoint of XZ, so XY = YZ</u>

  • 20x - 30 = 12x + 10
  • 20x - 12x = 10 + 30
  • 8x = 40
  • x = 5

<u>Find XZ:</u>

  • XZ = 2(XY) = 2(20*5 - 30) = 140

<u>The answer is: </u>

  • x = 5 and XZ = 140

------------------------

<u>B is the midpoint of AC, so AB = BC</u>

  • 4x + 3 = 2x + 15
  • 4x - 2x = 15 - 3
  • 2x = 12
  • x = 6

<u>Find AC:</u>

  • AC = 2(AB) = 2(4*6 + 3) = 54

<u>The answer is:</u>

  • x = 6, AC = 54
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Find the area of the triangle ABC.
DerKrebs [107]

Answer:

24

Step-by-step explanation:

6*8=24

8 0
2 years ago
A farmer owns 70 acres of land. Of the 70 acres, only 65% can be farmed. How many acres are available for farming? acres are ava
denis-greek [22]

45.5 acres of land can be farmed and 24.5 cannot be farmed.

4 0
2 years ago
When dividing the polynomial using synthetic division, which of the following setup boxes would be used?
Galina-37 [17]

The setup boxes in the synthetic division are (b)

<h3>How to determine the setup boxes?</h3>

The dividend is given as:

x^3 + 4x^2 + x - 6

The divisor is given as:

x - 2

Set the divisor to 0

x - 2 = 0

Solve for x

x = 2

Remove the variables in the dividend

1 + 4 + 1 - 6

Remove the arithmetic signs

1  4  1 - 6

So, the setup is:

2 | 1  4  1 - 6

Hence, the setup boxes are (b)

Read more about synthetic division at:

brainly.com/question/12951962

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8 0
1 year ago
What is y-intercept of the graph
Kipish [7]

Answer:

  1a. y-intercept: 12

  1b. slope: -3/2

  1c. equation: y = -3/2x +12

  2a. y-intercept: -9

  2b. slope: 2

  2c. equation: y = 2x -9

Step-by-step explanation:

<h3>1.</h3>

A) We observe the pattern to be <em>x-values in the table increase by 2, while y-values in the table decrease by 3</em>. We notice the first x-value is 2, so extending the table upward to x=0 would tell us the y-intercept. That is, adding 3 to the first y-value will give the y-intercept as (x, y) = (0, 12).

B) We have already observed that the "rise" (change in y) is -3 for each "run" (change in x) of 2. The slope is the ratio of these changes:

  slope = m = rise/run = -3/2

C) From the above, we know that m=-3/2 and b=12. Putting these values into the equation for the line gives ...

 y = -3/2x +12

__

<h3>2.</h3>

A) We observe the pattern to be <em>y-values increase by 2 while x-values increase by 1</em>. As before, we can find the point that would go before the first one shown in the table. It will have an x-value of 0 and a y-value of -9.

  the y-intercept is -9

  the slope is 2/1 = 2

  the equation is y = 2x -9

7 0
2 years ago
Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The
andriy [413]

The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

<u>Step-by-step explanation:</u>

Here we have , Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Let's have equations for this:

\frac{x_1+x_2+.....+x_2_8}{28} = 11 where x_1, x_2, ....., x_2_8 are athletes

⇒ x_1 + x_2 + .. + x_2_8 = 11(28)= 308

⇒ (x_1 + x_2 + .. + x_8 )+ (x_9+x_1_0+...+x_2_8) = 308

⇒ (\frac{x_1 + x_2 + .. + x_8}{8}  )(8)+ (\frac{x_9+x_1_0+...+x_2_8}{20} )(20) = 308

⇒ 10.5(8)+m(20) = 308 , where m is average time of the 20 athletes who did not qualify for the final.

⇒ 84+m(20) = 308

⇒ 20m= 224

⇒ m=11.2

∴ The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

8 0
3 years ago
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