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3 years ago

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in the figure, m angle fac equals m angle gbc. find m angle dbc. a. 152 degrees b. 180 degrees c. 208 degrees d. 332 degrees

1 answer:

Artemon [7]3 years ago

7 0

The answer will be A. 152 degrees

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A video store specializes in three types of movies: children's, American West, and horror. It's known that:

xenn [34]

X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.

$\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\$

Simplifying the system of equations, we have

$\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\$

$\ \ \ 5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500$

$y&=500+100=600\\ z&=3(500)-600=900$

The video store has 500 children's movies, 600 westerns and 900 horror movies.

6 0

2 years ago

Okay here are more math problems.

Vinil7 [7]

Answer:

the inequality would be, b/3<=16

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Need help with this ASAP it’s due in 10 minutes

Gennadij [26K]

Answer:

Step-by-step explanation:

Formula to be used,

A = $P(1+\frac{r}{n})^{nt}$

Here, A = Final amount

P = Principal amount

r = rate of interest

n = Number of compounding (In a year)

t = Duration of investment (In years)

Question (5)

P = $4250

r = 0.015

n = 4

t = 3 years

A = $4250(1+\frac{0.015}{4})^{4\times 3}$

A = $4250(1.00375)^{12}$

A = $4445.24

Part (C)

1). P = $6000

r = 0.03

n = 2

t = 10 years

A = $6000(1+\frac{0.03}{2})^{2\times 10}$

= $6000(1.015)^{20}$

= $8081.13

2). P = $9000

r = 0.05

n = 2

t = 8 years

A = $9000(1+\frac{0.05}{2})^{2\times 8}$

= $9000(1.025)^{16}$

= $13360.55

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3 years ago

Addison painted her room. She had 50 square meters to paint, and she painted at a constant rate. After 2hours of painting, she h

blagie [28]

Answer:

Y = 50 - 7.5X if 35 m² Area left to paint after 2 hrs out of total 50m²

Step-by-step explanation:

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3 years ago

F(x) = -x^2+11x+18<br> G(x) = x+2<br><br> Find (f/g)(x)

iren2701 [21]

$\frac{f}{g} (x) = \frac{ {x}^{2} + 11x + 18 }{x + 2} \\ = \frac{(x + 2)(x + 9)}{x + 2} \\ = x + 9$

with x never -2

8 0

3 years ago