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3 years ago

What is the value of x? Identify the missing justifications

Mathematics

1 answer:

Naddika [18.5K]3 years ago

5 0

Answer:

B. Angle Addition Postulate; Subtraction Property of Equality

Step-by-step explanation:

Given:

$m\angle PQR=x+7\\ \\m\angle SQR=x+3\\ \\m\angle PQR+m\angle SQR=m\angle PQS=100^{\circ}$

Find: x

Solution:

1. $m\angle PQR+m\angle SQR=m\angle PQS$ - Angle Addition Postulate

2. $x+7+x+3=100$ - Substitution Property

3. $2x+10=100$ - Simplify

4. $2x=90$ - Subtraction Property of Equality

5. $x=45$ - Division Property of Equality

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The price of a stock dropped 20% in one month the following month it’s price increased by 20% is the stock above or below it’s s

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3 years ago

The ABC Company has a net income of $56,000, assets at the beginning of the year are $263,000 and assets at the end of the year

aleksandr82 [10.1K]

Answer:

19.4 %

Step-by-step explanation:

The formula for return on assets (ROA) is

ROA = Net income /Total assets × 100 %

Since assets vary, we use the average of the total assets over the period.

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4 0

3 years ago

Read 2 more answers

Please help me! Hint: the number is negative

wel

Answer:

$-36$ goes into the box

Step-by-step explanation:

Let the number be $x$ , then

$(m^x)^{\frac{1}{3}}=m^{-12}$

We now use the following property of exponents to simplify the left hand side of the equation.

$(a^m)^n=a^{mn}$

This implies that;

$m^{x\times \frac{1}{3}}=m^{-12}$

$\Rightarrow m^{\frac{x}{3}}=m^{-12}$

Since the bases are the same, we equate the exponents to get;

${\frac{x}{3}=-12$

We now multiply both sides by 3 to get;

$\frac{x}{3}\times 3=-12\times 3$

$\Rightarrow x =-36$

Therefore the number that goes into the box is $-36$

6 0

3 years ago

Can someone help pls 18-3 X 2/5-1^2

d1i1m1o1n [39]

Answer:

Step-by-step explanation:

Remember the order of operations using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). So, you get 18 - 6 / 5-1 = 12/4 = 3

7 0

2 years ago

Read 2 more answers