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sashaice [31]
3 years ago
15

If triangle VWZ is congruent to triangle XWY, find the length of YX.

Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer:

Measure of side YX is 22 units.

Step-by-step explanation:

Since ΔVWZ ~ ΔXWY, their corresponding sides will be in the same ratio.

\frac{VW}{XW}=\frac{VZ}{XY}=\frac{WZ}{WY}

By substituting the values given in the picture in the ratio,

\frac{45}{30}=\frac{(3x-9)}{(x+8)}=\frac{36}{24}

\frac{(3x-9)}{(x+8)}=\frac{3}{2}

By cross multiplication,

2(3x - 9) = 3(x + 8)

6x - 18 = 3x + 24

(6x -18) + 18 = 3x + 24 + 18

6x - 3x = (3x + 42) - 3x

6x - 3x = 42

3x = 42

x = \frac{42}{3}

x = 14

m(YX) = x + 8

          = 14 + 8

          = 22

Therefore, measure of side YX is 22 units.

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There are 42 different types of ice cream at the grocery store the probability that ice cream selected at random has chocolate i
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Answer:

Step-by-step explanation:

42-42(2/7)

42-12

30

There are 30 options with no chocolate.

3 0
3 years ago
Help please? i would really appreciate it.
raketka [301]

Answer:

The answer is option C i.e; y=0.9x-45

Step-by-step explanation:

When you substitute the values of x you have to get same values as given in the table

For example: substitute x=50 in the equation y=0.9x-45

Y= 0.9(50)-45

Y= 45-45

Y=0


6 0
3 years ago
The class needed to collect 20.5 pounds of cans for recycling over the next 5 months. the students plan to collect 3.75 pounds e
Anestetic [448]
To solve this problem, start by finding how many cans will be collected in 5 months. To do this, take the amount of cans collected each month and multiply it by the number of months. Set these values up in an equation.
This leaves you with:
3.75(5) = x

Multiply the values to get 18.75 pounds of cans.
So this fills the first blank.

For the second blank, you must subtract the number collected from the number that was the goal for the class.
This results in the expression:
20.5 - 18.75

Subtract the values to fill the second blank with 1.75 pounds.

Since they didn’t meet their goal, the last blank would be “less.”

I hope this helps! :)
8 0
3 years ago
What is the quotient (2x^3 + 3x - 22) / (x-2)
Scilla [17]

Answer:

The quotient is 2x^2+4x+11

Step-by-step explanation:

6 0
3 years ago
Find the length of side AB.<br>Give your answer to 1 decimal place.​
Luden [163]

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, scalene, equilateral, acute, obtuse and right angled triangle. A right angle triangle is a triangle with one angle being 90°.

Trigonometric ratios is used to show the relationship between the angles and sides of a right angled triangle. Examples are:

sinΘ = opposite/hypotenuse; cosΘ = adjacent/hypotenuse; tanΘ = opposite/adjacent

From the question:

cos(62) = AB/12

AB = 12 * cos(62)

AB = 5.6 cm

4 0
3 years ago
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