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2 years ago

In the figure, VW || YZ. Find the value of x, and the measure of YA and WA.

Mathematics

1 answer:

svetoff [14.1K]2 years ago

5 0

Step-by-step explanation:

because VW || YZ, the 2 triangles are similar.

this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.

and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.

so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.

e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.

7.2 × f = 12

f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3

x × 5/3 = x + 4

5x = 3x + 12

2x = 12

x = 6

A to Y = x = 6

W to A = x + 4 = 6 + 4 = 10

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Malachy, Sushil and Fiona share some sweets in the ratio 7:1:1. Malachy gets 90 more sweets than Fiona. How many sweets does Sus

VashaNatasha [74]

Answer:

Step-by-step explanation:

Fiona (F) = Sushi (S)

Malachy (M) = 7 Fiona (F)

M = F + 90

F + 90 = 7F

6F = 90

F (Fiona) = 15

S (Sushi) = 15

check: Malachy (M) = 15 * 7 = 105

M-F = 105 - 15 = 90

3 0

3 years ago

Marge purchased bicycle helmets and tire pumps. Each helmet cost $12.00 and each pump cost $8.00. She purchased a total of 18 it

algol [13]

Answer:

Step-by-step explanation:

Let the no. of helmet be x

cost of 1 helmet = $12.00

cost of x helmet = $12.00*x = $12x

Let the no. of tire pumps be y

cost of 1 tire pumps = $8.00

cost of x tire pumps = $8.00*y = $8y

Given that total no. of helmet and pump is 18

thus

x + y = 18

y = 18-x

also given

total money spent is $188

thus

12x+8y = 188

using y = 18 - x

we have

12x + 8(18-x) = 188

=> 12x+ 144 - 8x = 188

=> 4x = 188-144 = 44

=> x = 44/4 = 11

Thus, no of helmet bought by Margo is 11.

7 0

2 years ago

The number of bacteria in a culture is expected to grow 82% per hour over the next several hours. The predicted change in the nu

Advocard [28]

If my simplification is valid the answer is:

1.4 % growth each minute

I don’t feel like the representation
P = 120(1.82) is important in this certain problem.

So P the predicted number of bacteria is not practical with this problem.

Use the 82% per hour and divide it by 60 because there are 60 minutes in an hour.

When doing this you find the rate in which bacteria grows which is about 1.4%.

The prediction is about 1.82 percent for 120 something it’s not clarified, but I’m guessing that’s minutes.

So you can prove that the prediction is over the rate in which bacteria grows per minute.

4 0

1 year ago

In the 1920s, the continued rise in the stock market and economic growth depended most on

Pachacha [2.7K]

Credit. That's why the stock market crash was so terrible in 1929.

7 0

3 years ago

Helpppp me pleaseee<br>

mixer [17]

Answer:

1 st questions answer is third option

while the answer of other question is 3

Step-by-step explanation:

2nd qestions explanation

put value of x=2 in equation as x-2=0 from equation

(2)^3-6(2)^2+a2+10=2

8-24+a2+10=0

2a=-18+24

2a=6

a=3

3 0

3 years ago