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4 years ago

Which of the following best describes triangle TUV and triangle XYZ? Please help!

Mathematics

1 answer:

Vesna [10]4 years ago

7 0

Answer:

Option C. Triangle TUV is similar to triangle XYZ

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem, the corresponding angles between triangle TUV and triangle XYZ are congruent, but its corresponding sides are not congruent

therefore

The triangles are similar

The ratio of its corresponding sides must be proportional

Verify

$\frac{XY}{TU}=\frac{YZ}{UV}$

substitute the values

$\frac{6}{3}=\frac{6}{3V}$

$2=2$ ---> is ok

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A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents f

professor190 [17]

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

7 0

3 years ago

X A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?

torisob [31]

Answer:

Area of of the doghouse which is in the shape of right trapezoid is 66.5 square feet.

Step-by-step explanation:

7 0

3 years ago

Answer this question you get 50 points

Sliva [168]

Answer:

Angle YXZ = (1/2) sum of the intercepted arcs

Angle YXZ = (1/2) (41 + 63)

Angle YXZ = (1/2) (104)

Anglw YXZ = 52 degrees

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Brand X Pizza is having a special coupon offer. If you buy two large pizzas, you get $2.00 off the price. A large pizza normally

Olegator [25]

Very handy question to know the answer to. I know of no place on the planet that does not have a tax of some sort.

The tax only applies when money changes hands. It does not apply to any discounts

So if you take the deal, the cost is

Cost of 2 pizzas = normal price - the discount.

Cost of 2 pizzas = 2*10.50 - 2.00

Cost of 2 pizzas = 21 - 2

Cost of 2 pizzas = 19.00 dollars.

Not you add on the sales tax. You can do this one of two ways, the long way or the short way.

Long way

Find the sales tax

Tax = % * cost

Tax = (7.5/100) * 19

Tax = 1.425 don't round yet.

Total Cost = purchase + tax

Total Cost = 19.00 + 1.425 = 20.425 Now round. This is a real problem. It depends on what you have been told to do about rounding when 5 is the last digit. I round up. So my answer would be 20.43 <<<<< Answer.

Short Way

Cost = (Price - discount)*(1 + %/100)

Cost = (21 - 2)*(1+ 7.5/100)

Cost = 19 * (1.075)

Cost = 20.425 = 20.43

6 0

3 years ago

How do u simplify 6 exponent 2

charle [14.2K]

6^2 is simply 6x6. which =36

5 0

3 years ago