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3 years ago

Given that abcd ~Jklm. Find the value of x, y, and z

Mathematics

1 answer:

Minchanka [31]3 years ago

4 0

Answer:

x = 7.2

y = 10

z = 6

Step-by-step explanation:

Since ABCD ~ JKLM, therefore, the ratio of their corresponding sides would be equal. Thus:

JK/AB = KL/BC = LM/CD = JM/AD

Substitute

12/x = y/6 = 15/9 = 10/z

✔️Find x:

12/x = 15/9

12/x = 5/3

Cross multiply

x*5 = 3*12

5x = 36

x = 36/5

x = 7.2

✔️Find y:

y/6 = 15/9

y/6 = 5/3

Cross multiply

y*3 = 5*6

3y = 30

y = 30/3

y = 10

✔️Find z:

15/9 = 10/z

5/3 = 10/z

Cross multiply

5*z = 10*3

5z = 30

z = 30/5

z = 6

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Does anyone know how to do this

Ipatiy [6.2K]

Answer:

I think you replace, A and N with 0.6 and complete the equation

Step-by-step explanation:

srry if wrong but i hope this helped in anyway

4 0

3 years ago

There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the

vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = $\frac{\textup{56 + 57 + 58 }}{\textup{3}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}$

Variance = $\frac{1+0+1}{\textup{2}}$

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = $\frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}$

Variance = $\frac{1+0+1+0}{\textup{3}}$

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

3 0

3 years ago

Solve for y in terms of m by cross-multiplying.<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bm%7D%20%3D%5Cfrac%7B1%

taurus [48]

Answer:

y = m/3

Step-by-step explanation:

y 1

---- = --------

m 3

Cross multiply

3*y = 1*m

3y = m

Divide each side by 3

3y/3 = m/3

y = m/3

6 0

3 years ago

What is the length of leg s of the triangle below? A. 2.2 B. 4 C. 32 D. 4 E. 1.5 F. 16

stiv31 [10]

Answer:

s = 4

Step-by-step explanation:

Note that the triangle has 2 congruent base angles, both 45°

This means the triangle is isosceles with congruent legs, then

s = 4

4 0

3 years ago

Evaluate. 46−[(9+15÷5)×3]

mojhsa [17]

Answer:

Step-by-step explanation:

46 - [(9 + 15 ÷ 5) × 3]

~We can simplify everythingusing PEMDAS

46 - [(9 + 3) × 3]

46 - [(12) × 3]

46 - 36

Best of Luck!

6 0

3 years ago

Read 2 more answers

Given that abcd ~Jklm. Find the value of x, y, and z​

Given that abcd ~Jklm. Find the value of x, y, and z