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3 years ago

If two opposite sides of a quadrilateral are perpendicular and congruent, then the quadrilateral is a parallelogram.

1 answer:

3 0

I think this is false because two opposite sides can't be perpendicular (creating a 90 degree angle) because opposite sides are parallel.

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A sales person receives a 3% commission on sales. The sales person receives $180 in commission. What is the amount of sales

alexira [117]

Her is your answer 3% of the sales is $180

If the sales is called 's' we can write an equation to model the statement 3% of the sales is $180:

The amount of sales is $6,000.

Your final answer is $6,000 in sales.

3 0

3 years ago

Read 2 more answers

HELP WILL GIVE BRANLIEST

max2010maxim [7]

Answer:

Step-by-step explanation:

B makes more sense to me.. If it comes out wrong I deeply apologize-

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

3 years ago

If a number is divided into two but such. One part is 10 more than the other is the two parts in the ratio of 5 to 3 find number

alexandr1967 [171]

15 and 25 are the parts, 40 is the number

6 0

3 years ago

Simplify.<br><br> 5 • 2 • (–4) + 6 ÷ 2

Natasha2012 [34]

Answer:

- 37

Step-by-step explanation:

5 • 2 • ( - 4 ) + 6 ÷ 2

= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]

= 10 • ( - 4 ) + 3

= - 40 + 3

= - 37

4 0

2 years ago