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4 years ago

Is the triangle congruent? If so, please state how you know.

Mathematics

1 answer:

fomenos4 years ago

5 0

I think yes because they are both the same (or congruent) because they both equal 180°

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The original price of a skateboard was reduced by $15. The new price is $49. If p = the skateboard's original price in dollars,

Jobisdone [24]

So p - $15 = $49 and to solve it subtract 15 from 49 and then you will get your answer

7 0

3 years ago

Read 2 more answers

Which of the following points are solutions to the equation y= -2/3x+2

Llana [10]

$y=-\dfrac{2}{3}x+2\\\\\left(-\dfrac{2}{5};\ \dfrac{34}{15}\right)\to x=-\dfrac{2}{5};\ y=\dfrac{34}{15}\\\\for\ x=-\dfrac{2}{5}\to y=-\dfrac{2}{3}\cdot\left(-\dfrac{2}{5}\right)+2=\dfrac{4}{15}+2=\dfrac{4}{15}+\dfrac{30}{15}=\dfrac{34}{15}\\CORRECT\\\\\left(\dfrac{7}{2};\ \dfrac{13}{3}\right)\to x=\dfrac{7}{2};\ y=\dfrac{13}{3}\\\\for\ x=\dfrac{7}{2}\to y=-\dfrac{2}{3}\cdot\dfrac{7}{2}+2=-\dfrac{7}{3}+2=-\dfrac{7}{3}+\dfrac{6}{3}=-\dfrac{1}{3}\neq\dfrac{13}{3}\\INCORRECT$

$\left(\dfrac{1}{8};\ \dfrac{23}{12}\right)\to x=\dfrac{1}{8};\ y=\dfrac{23}{12}\\\\for\ x=\dfrac{1}{8}\to y=-\dfrac{2}{3}\cdot\dfrac{1}{8}+2=-\dfrac{1}{12}+2=-\dfrac{1}{12}+\dfrac{24}{12}=\dfrac{23}{12}\\CORRECT\\\\\left(\dfrac{8}{3};\ \dfrac{2}{3}\right)\to x=\dfrac{8}{3};\ y=\dfrac{2}{3}\\\\for\ x=\dfrac{8}{3}\to y=-\dfrac{2}{3}\cdot\dfrac{8}{3}+2=-\dfrac{16}{9}+2=-\dfrac{16}{9}+\dfrac{18}{9}=\dfrac{2}{9}\neq\dfrac{2}{3}\\INCORRECT$

Answer: (-2/5,34/15) and (1/8,23/12).

3 0

3 years ago

Solve for w <br>5w+9z=2z+3w

grin007 [14]

5w + 9z = 2z + 3w

2w + 9z = 2z

2w = -7z

w= -7/2z or w= -3.5z

8 0

3 years ago

A square ABCD has the vertices A(n, n), B(n, -n), C(-n, -n), and D(-n, n). Which vertex is in Quadrant III?

lana [24]

It is necessary for a coordinate to be in quadrant III that both x and y coordinate have to be negative. For e.g (-2,-2) have both x and y coordinate negative , so it is in quadrant III , where as (2,-2) or(-2,2) are not in quadrant III. In the given question C (-a,-a) have both x and y coordinates negative. SO C is in third quadrant and the correct option is C .

8 0

3 years ago

Juan's income consists of atleast $37,500 salary plus 5% commission on all of his sales x. Which inequality represents Juan's in

Mandarinka [93]

Answer:

$\boxed{\text{D. y $\geq$ 37 500 + 0.05x}}$

Step-by-step explanation:

y = Juan's income

$37 500 = his salary

x = his sales

0.05x = his commission on sales

$37 500 + 0.05x = his salary + commission

Juan's income must at least equal his salary + commission.

None of the options is correct, but the closest one is D.

$\text{The condition is }\boxed{\mathbf{y \geq 37 500 + 0.05x}}$

8 0

4 years ago