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kiruha [24]
4 years ago
13

Please show your work. Find XY

Mathematics
1 answer:
Sidana [21]4 years ago
3 0
XY = 17. 

Because YW is a perpendicular bisector, we can say that TW and WZ are both equal to 3. It tells us that XZ is 12, so that means that XW must be 12+3 which equals 15.

It also tells us that YW is 8. So we can use the Pythagorean Theorem to find the hypotenuse of Triangle XWY. Thus, 15^{2}  +  8^{2} =  XY^{2}

To solve this equation, square and add both of the terms on the right like this:
289 =  XY^{2}

And then take the square root of both sides. Your final answer should be: 
XY = 17. 
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In how many ways 5 boys and 3 girls can take their seat in a row so that , no girls seat together
Stels [109]

Answer:

36000 different ways

Step-by-step explanation:

If we have 5 boys and 3 girls, the total number of people we have will  be 5+3 = 8 people. If there are no restrictions, this 8 people can be arranged in 8! different ways.

8! = 8*7*6*5*4*3*2*1

8! = 40,320 ways.

If 3 of the girls are to sit together, then we will take the girls as an entity. The total number of people if the girls are treated as one will be 5 boys and a girl which is 6. They can all be arranged in 6! ways but also note that the 3 girls can be rearranged among themselves in 3! ways. The total number of arrangement if the 3 girls are to sit together will be 6!*3!.

6!*3! = 6*5*4*3*2*3*2

6!*3! = 4320 different ways

The number of different ways if no girls are to seat together = 8!- (6!*3!)

= 40,320 - 4,320

= 36000 different ways

4 0
4 years ago
Find the percent of discount. Round to the nearest tenth
maxonik [38]

Answer: 69%

Step-by-step explanation:

16820x100= 1682000

1682000÷24365=69.033

8 0
3 years ago
Ruby has a monthly salary of $1,800 and also earns 6% commission on her sales. If Ruby had $37,000 in sales last month, what wer
Nookie1986 [14]

6% of her $37,000 in sales: 37,000 x 0.06 = 2220

Salary $1,800 + $2,220 (commission) = $4,020

So her total earnings: $4,020

4 0
3 years ago
Read 2 more answers
What name describes this shape?
Helen [10]
Where is the shape?????????????????

4 0
4 years ago
Ian and his friends are renting a cabin that charges an initial fee plus a rate per night. The relationship between the cost and
Brut [27]

Answer:

Cost per night: 75

Equation: y = 75x + 50

Step-by-step explanation:

An equation to represent the situation can be written in the slope-intercept form, y = mx + b, where,

m = slope of the graph, which is the rate per night.

b = y-intercept, which is the initial fee. It is the point where the line intercepts the y-axis.

Let's find m, using two points on the line, (2, 200) and (4, 350)

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{350 - 200}{4 - 2} = \frac{150}{2} = 75

✅The cost per night = 75

y-intercept, b, = 50. The line intercepts the y-axis at y = 50, when x = 0.

Substitute m = 75, and b = 50 into y = mx + b.

✅The equation would be:

y = 75x + 50

6 0
3 years ago
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