answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sashaice [31]
2 years ago
15

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

Mathematics
1 answer:
valkas [14]2 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.

You might be interested in
A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below. A parabola opening
Gala2k [10]
Since the parabola passes by the center its equation is:

y = ax². But it opens downward, that means the coefficient a is negative.

Then the equation becomes:

y = - ax², with x = 0 as its axis of symmetry.

We are given that the height is 84 ft when the opening downward is 42 ft.
That means to the (height) y, corresponds x =+21 & x=-21 (due to symmetry).
In order to calculate a let's plug y & x with their related values:

y = - ax²

84 = - a(21)²

84 = - a(441) and a = - 84/441 ↔ a = - 4/21

 And the final equation is : y = -4/21. x²
3 0
2 years ago
What is the circumference of this circle, in millimeters? use 22/7 for pi<br><br> r = 49
ICE Princess25 [194]
Circumference=2\pi r=2\times \dfrac{22}{7} \times 49 = \boxed{308 \text{ mm}}
7 0
2 years ago
Read 2 more answers
Nar donated to 4 charities last year. She gave £175 to each of these charities. This year Rana wants to donate the same total am
LekaFEV [45]

Answer:

£116.67

Step-by-step explanation:

Given;

Nar donated to 4 charities last year. She gave £175 to each of these charities.

The total amount Nar donated is;

Nar = 4 × £175 = £700

For Rana to donate the same amount equally among 6 charity, to determine the amount each charity would receive this year, we need to divide the total amount by the number of charities;

A = £700/6

A = £116.67

7 0
2 years ago
The histograms below show the heights (in meters) of the tallest buildings in China and the United States.
USPshnik [31]

Answer:

A and B

Step-by-step explanation:

I tried it and it was correct. The United states has the tallest... and China has more buildings... are the correct ones.

6 0
2 years ago
Maria drove from Los Angeles (elevation 330 feet) to Death Valley (elevation –282 feet). What is the difference in elevation bet
noname [10]
The answer is D because if you made a number line you would contrast them and there you get 612. hope it helpe
6 0
2 years ago
Read 2 more answers
Other questions:
  • Pencils come in boxes of 10. How many boxes should Erika buy if she needs 127 pencils?
    11·1 answer
  • Kwesi is putting on sunscreen. He uses 3ml to cover 45 cm2 ​​ of his skin. He wants to know how many milliliters of sunscreen g
    12·2 answers
  • Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression? (3 – 7x)(x2 – 3) (7x – 3)(3 + x2) (3 – 7x2)(x – 3) (7
    5·2 answers
  • A biologist tranquilizes 400 wild elephants and measures the lengths of their tusks to determine their ages. Identify the popula
    7·2 answers
  • A furniture company is introducing a new line of lounge chairs next quarter. These are the cost and revenue functions, where x r
    11·2 answers
  • Mikhail believes he can use the multiplication expression 1/2x6 to find the total number of
    9·1 answer
  • Bart recorded the amount of rain that fell in a desert in each month for one year. What was the total amount of rainfall in the
    15·1 answer
  • Determine the quotient of (22.8 × 10–3) ÷ (5.7 × 10–6). Write your answer in scientific notation.
    10·1 answer
  • a larger gear wheel has 40 teeth and a small gear wheel has 25 teeth. if the larger one makes 100 revolutions in a minute, how m
    5·1 answer
  • PLEASE HELP ME!!!!!!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!