MATHEMATICS HIGH SCHOOL

WXYZ IS A RECTANGLE. What is ZX?

Answers

Answer 1
Answer: ZX is one side out of the triangle 
Answer 2
Answer: ZX is a diagonal line from one point (corner) of the rectangle to the the other point (corner).

Hoped I helped!

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You play a game that involves drawing two numbers from a hat. There are 25 pieces of paper numbered from 1 to 25 in the hat. Each number is replaced after it is drawn. Find the probability that you will draw the 3 on your rst draw and a number greater than 10 on your second draw.

Answers

Answer:

Probability=(3)/(125)

Step-by-step explanation:

In the question,

Total number of pieces of paper numbered from 1 to 25 are = 25

As the draw also includes replacement.

So,

Probability of drawing '3' is given by,

Probability=(Favourable\,outcomes)/(Total\,cases)\nProbability=(1)/(25)

Now,

Numbers greater than 10 are = 15

So,

Probability of drawing a number greater than 10 is given by,

Probability=(15)/(25)

So,

Total probability is given by,

Product of probability of drawing 3 in 1st draw and the Probability of drawing a number greater than 10.

(1)/(25)* (15)/(25)=(3)/(125)\nProbability=(3)/(125)

Dana bikes 10 miles in 50 minutes at this rate how far will she bike in 90 minutes

Answers

Answer:

18 miles

Step-by-step explanation:

the ratio is miles/minute

10/50=0.2

so no just multiply the amount of minute you want 0.2*90= 18 miles

Answer and Step-by-step explanation:

In an hour and a half, Dana would go 18 miles since she's going a mile at regular intervals, so if she's trekking for an additional forty minutes, she will bicycle 8 miles. This implies that you'd increase five minutes by 8 miles (recall it's a mile for every 5 minutes) and that would give you forty. At that point simply add that to the 50 minutes she's been cycling as of now.

Travis took a taxicab from his office to a meeting on the other side of town. The cab ride cost $8.50 which includes a $2.00 tip. In deciman form, how far is it from his office to the meeting?

Answers

You do not have enough information to solve the problem:
The charge was $6.50 without the tip. You need to know the rate that the taxicab charges in order to solve this problem.

For example if the taxicab charged $1.30 per mile then the answer would be $6.50/$1.30 per mile = 5 miles

What does the y-intercept represent in this situation?

Answers

Answer:

The starting height of the chairlift
The starting height of the chairlift

Write the equivalent expression to (5x - 3x^2) - (5x -2)

Answers

Answer:

-3x^2+2

Step-by-step explanation:

(5x - 3x^2) - (5x -2)

Distribute the minus signs

(5x - 3x^2) - 5x +2

Combine like terms

-3x^2 +5x-5x+2

-3x^2+2

PLEASE HELP ASAP!!!!Hugo is writing a coordinate proof to show that the midpoints of a quadrilateral are the vertices of a parallelogram. He starts by assigning coordinates to the vertices of quadrilateral RSTV and labeling the midpoints of the sides of the quadrilateral as A, B, C, and D. Quadrilateral R S T V in a coordinate plane with vertex R at 0 comma 0, vertex S in the first quadrant at 2 a comma 2b, vertex T also in the first quadrant at 2 c comma 2 d, and vertex V on the positive side of the x-axis at 2 c comma 0. Point A is between points R and S, point B is between points S and T, point C is between points T and V, and point D is between points R and V. Enter the answers, in simplified form, in the boxes to complete the proof. The coordinates of point A are ( , ). The coordinates of point B are ( , ). The coordinates of point C are (2c, d) . The coordinates of point D are (c, 0) . The slope of both AB¯¯¯¯¯ and DC¯¯¯¯¯ is . The slope of both AD¯¯¯¯¯ and BC¯¯¯¯¯ is −bc−a . Because both pairs of opposite sides are parallel, quadrilateral ABCD is a parallelogram.

Answers

Answer:

Step-by-step explanation:

R(0,0)

A=((0+2a)/2,(0+2b)/2)=(a,b)

S(2a,2b)

B=((2a+2c)/2,(2b+2d)/2)=(a+c,b+d)

T(2c,2d)

C=((2c+2c)/2,(2d+0)/2)=(2c,d)

V(2c,0)

D=((2c+0)/2,(0+0)/2)=(c,0)

R(0,0)

slope of AB=(b+d-b)/(a+c-a)=d/c

slope of DC=(d-0)/(2c-c)=d/c

slope of AD=(0-b)/(c-a)=-b/(c-a)

slope of BC=(d-b-d)/(2c-a-c)=-b/(c-a)
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