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LiRa [457]
3 years ago
13

Triangle PQR is similar to Triangle XYZ. PQ=3 and XY=6. If the perimeter of Triangle XYZ is 20, what is the perimeter of Triangl

e PQR?
Mathematics
2 answers:
Ilya [14]3 years ago
7 0

Answer:

10

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

scale factor = \frac{PQ}{XY} = \frac{3}{6} = \frac{1}{2}

That is the sides of Δ PQR are half those of Δ XYZ, thus

The perimeter of Δ PQR is half Δ XYZ, that is

perimeter of Δ PQR = \frac{1}{2} × 20 = 10

Viktor [21]3 years ago
5 0

Answer:

10

Step-by-step explanation:

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A salesperson is paid an 8.25% commission on sales when the invoice is
son4ous [18]

Answer:

<em>The salesperson's commission for this month is $3,803</em>

Step-by-step explanation:

<u>Percentages</u>

Let's call x to the sales volume, not including commission.

The salesperson is paid an 8.25% commission on sales, thus the total invoice is x + 8.25%x = x + 0.0825x = 1.0825x

We are given this total invoice, thus:

1.0825x = $49,900

Dividing by 1.0825:

x = $46,097

The salesperson's commission is

0.0825*$46,097=$3,803

The salesperson's commission for this month is $3,803

7 0
2 years ago
A certain brand of dinnerware set comes in three colors: red, white, and blue. Twenty percent of customers order the red set, 45
denis23 [38]

Answer:

a) 0.20

b) 0.45

c) 0.65

d) Yes

e) Yes

f) Z = X + Y (except when X = 1 and Y = 1)

This is because the successes of X and Y are mutually exclusive events but their failures aren't. X and Y cannot both be 1.

Step-by-step explanation:

Probability of a red set = 20% = 0.20

Probability of a white set = 45% = 0.45

Probability of a blue set = 35% = 0.35

Probability of the single set being a red or white set = 20% + 45% = 65% = 0.65

P(X=1) = 0.20, P(X=0) = 1 - 0.2 = 0.80

P(Y=1) = 0.45, P(Y=0) = 1 - 0.45 = 0.55

P(Z=1) = 0.65, P(Z=0) = 1 - 0.65 = 0.35

a) pX = P(X=1) = 0.20

b) pY = P(Y=1) = 0.45

c) pZ = P(Z=1) = 0.65

d) Since only one order is being considered at a time, it isn't possible to order red & white set in a single set, hence, both X and Y cannot both be successes (equal to 1) at the same time. But they can both be failures (both equal to 0) if a blue set is ordered. The successes of X and Y are mutually exclusive events but their failures aren't

e) Is pZ = pX + pY

pX = 0.2, pY = 0.45, pZ = 0.65

Hence, this statement is correct!

f) Z = X + Y

Let's check all the probabilities

when X = 1 and Y = 1, Z = 1

1 ≠ 1 + 1

when X = 0 and Y = 1, Z = 1

1 = 0 + 1

when X = 1 and Y = 0, Z = 1

1 = 1 + 0

when X = 0 and Y = 0, Z = 0

0 = 0 + 0

Hence, Z = X + Y (except when X = 1 and Y = 1)

This is because the success of X and Y are mutually exclusive events but their failures aren't.

8 0
3 years ago
Find the Measure of angle O<br> (see image)<br> Only real answers, please
-Dominant- [34]

Answer:

From the given figure we can see that :---

MN||PO, MN=PO and MP=NO

Therefore, angle M=angle N (adjacent sides of the trapezoid)

(8x - 16)  =  (6x + 20) \\ 2x = 36 \\  \boxed{x = 18}

angle M=angle N= (6×18)+20=108+20 =128°

angle O =(180°-128°)=52°

<h3>Hence, angle O is <u>52°.</u></h3>
3 0
3 years ago
A random sample of 40 students from each grade level was surveyed regarding their preference for a class trip. If there are 220
NNADVOKAT [17]

Answer:

66 students prefer the zoo

Step-by-step explanation:

I got it correct :)

3 0
2 years ago
I’m stuck on this question plz help
Elza [17]

Answer:

3(n-8)

Step-by-step explanation:

5 0
3 years ago
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