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enot [183]
2 years ago
10

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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Combine like terms.<br><br> - 2/3p + 1/5 - 1 + 5/6p
DaniilM [7]

Answer:

1/6 p -4/5

Step-by-step explanation:

- 2/3p + 1/5 - 1 + 5/6p

When I combine like terms, I put them next to each other.

- 2/3p + 5/6p+ 1/5 - 1

We need to get a common denominator of 6 for the p terms

-2/3 *2/2 p + 5/6 p

-4/6p + 5/6 p

1/6 p


We need to get a common denominator of 5 for the contant terms

1/5 - 1*5/5

1/5-5/5

-4/5


Substituting these in

2/3p + 5/6p+ 1/5 - 1

1/6 p -4/5


7 0
3 years ago
A project has each of the following characteristics except ____.
Brut [27]

Answer:

C. Low risk with a high profit potential or benefits.

Step-by-step explanation:

I hope this helps.

7 0
2 years ago
Justine has 4 1/2 pounds of red apples, 3 1/4 pounds of green apples, and 2 1/4 pounds of yellow apples. How many kilograms of a
Darina [25.2K]
4 1/2 + 3 1/4 + 2 1/4 = 10 pounds of apples.

10 pounds is approximately 4.5 kilograms.
7 0
2 years ago
Find the area of parallelogram ABCD given m A = 30 and the following measures.
Nuetrik [128]

Answer: SECOND OPTION

Step-by-step explanation:

The area of a parallelogram can be calculated with this formula:

A=bh

Where "b" is the of one base and "h" is the height.

You can observe in the figure that "b" and "h" are:

b=AB=4\sqrt{2}ft\\\\h=AX=3ft

Then, substituting these values into the formula, you get that the area of the given parallelogram is:

A=(4\sqrt{2}ft)(3ft)\\\\A=12\sqrt{2}ft^2

This matches with the second option.

4 0
3 years ago
Which set of angles are complementary
Deffense [45]

Answer:

A. <ECF and <BCF

Step-by-step explanation:

Complementary angles are angles that add up to give 90°

m<BCE = m<BCA = 90° (right angles)

m<ECF + m<BCF = m<BCA

m<ECF + m<BCF = 90° (Substitution)

Therefore, <ECF and <BCF are complementary angles.

6 0
3 years ago
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