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Oxana [17]
1 year ago
8

What is YZ ? Enter your answer as a decimal in the box.

Mathematics
2 answers:
Jobisdone [24]1 year ago
7 0
If you look at the figure, triangles XVW and ZYW are similar. So, you can use ratio and proportion to solve this problem. Notice that there are tick marks on th other two sides of the bigger triangles. That indicates that the like signs of ticks are equal. For example, that means XZ = ZW and that XW = 2XZ = 2ZW. 

24.4/YZ = XW/ZW
24.4/YZ = 2ZW/ZW
24.4/YZ = 2
Solving for YZ,
<em>YZ = 12.2</em>

murzikaleks [220]1 year ago
3 0

Answer:

12.2

Step-by-step explanation:

you break it down till you get 12.2

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Which of the following are exterior angles? Check all that apply.
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Answer:

B) ∠ 5

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F) ∠ 6

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Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl
BigorU [14]
You have two 30-60-90 triangles, ADC and BDC.

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse
     1        :  sqrt(3)  :        2

Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC

First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30

Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10

AB = AC - BC = 30 - 10 = 20
6 0
2 years ago
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At the beginning of the summer Matt swim 12 laps. At the end of the summer he could swim 15 laps. What is the percent increase i
aleksandr82 [10.1K]
Percent change = (new number - old number)/(old number) * 100
A positive percent change is a percent increase.
A negative percent change is a percent decrease.

In this problem, we have:
The new number is 15 laps.
The old number is 12 laps.


percent change = (15 - 12)/(12) * 100

percent change = 3/12 * 100

percent change = 25

Since the percent change is positive, +25, it is a percent increase.

Answer: The percent increase is 25%

8 0
2 years ago
Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld? federal
tangare [24]

Chuck has a gross pay of $815.70. His gross pay will be reduced by:

  • Federal tax of $56;
  • Social Security tax that is 6.2% of his gross pay;
  • Medicare tax that is 1.45% of his gross pay;
  • State tax that is 19% of his federal tax.

Let's count:

1. gross pay of $815.70 - 100%,

Social Security tax of $x - 6.2%.

Then

\dfrac{815.70}{x}=\dfrac{100}{6.2} ,\\ \\815.70\cdot 6.2=x\cdot 100,\\ \\x=\dfrac{815.70\cdot 6.2}{100} =50.5734.

2. gross pay of $815.70 - 100%,

Medicare tax of $y - 1.45%.

Then

\dfrac{815.70}{y}=\dfrac{100}{1.45} ,\\ \\815.70\cdot 1.45=y\cdot 100,\\ \\y=\dfrac{815.70\cdot 1.45}{100} =11.82765.

3. Federal tax of $56 - 100%,

State tax $z - 19%.

Then

\dfrac{56}{z}=\dfrac{100}{19} ,\\ \\56\cdot 19=z\cdot 100,\\ \\z=\dfrac{56\cdot 19}{100} =10.64.

4. Chuck’s gross pay will be reduced by

\$56+\$50.5734+\$11.82765+\$10.64=\$129.04105\approx \$129.04.

3 0
2 years ago
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Find the values for a, b, and c that complete the simplification.
lisov135 [29]

Answer: A: 6

B: 4

C: 2

Step-by-step explanation:

8 0
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