All categories

2 years ago

Rectangle ABCD ~ Rectangle WXYZ. Find the missing measurement

Mathematics

1 answer:

e-lub [12.9K]2 years ago

3 0

Answer: 14

Step-by-step explanation:

Since they are similar, that means their side lengths are proportional.

Therefore, $\frac{WX}{AB} = \frac{WZ}{AD}$ .

We can plug in the values we know:

Let x be the missing measurement.

$\frac{16}{24} =\frac{x}{21}$

We can simplify 16/24 to 2/3.

2/3 = x/21.

We can cross multiply:

42 = 3x

Therefore, x = 14

You might be interested in

Carlos buys a vintage automobile for $7300. He estimates that the value will increase by 3% every year. Estimate the value of th

lakkis [162]

Answer:

$9810.59

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Simple Interest Rate Formula: $\displaystyle A = P(1 + r)^t$

P is principle amount
r is rate
t is time (in years)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 7300

r = 3% = 0.03

t = 10

Step 2: Solve for A

Substitute in variables [Simple Interest Rate Formula]: $\displaystyle A = 7300(1 + 0.03)^{10}$
(Parenthesis) Add: $\displaystyle A = 7300(1.03)^{10}$
Evaluate exponents: $\displaystyle A = 7300(1.34392)$
Multiply: $\displaystyle A = 9810.59$

7 0

3 years ago

How to write a expression for: Jasmin has increased her $45 by m dollars and then spends a third of the entire amount.

siniylev [52]

The first part is addition.
45+m
If she spend a third of it, you could multiply by 1/3 or divide by 3.
Multiply: 45+m x 1/3
Divide: 45+m/3

6 0

3 years ago

line j passes through the point (-4,10) and (2,-8). Line k passes through the point (1,2) and is parallel to line j. Find an equ

Mashcka [7]

Answer:

344444444433333338694

Step-by-step explanation:

7 0

2 years ago

Find the area of the triangle.

ira [324]

I think it is 67.5 is that an option?

4 0

3 years ago

Read 2 more answers

Elena spent 45 minutes at the library, half an hour at the grocery store, 20 minutes visiting a friend, and arrived home at 4:10

frozen [14]

Elena spent
45min+30min+20min= 95 min
95 min is 1 h and 35 min
she arrived at home at 4:10
Elena left at 2:35 pm

8 0

3 years ago