3 years ago

Exam

Mathematics

1 answer:

Finger [1]3 years ago

3 0

Answer:

m = 15

Step-by-step explanation:

Since ∆ABC ~ ∆QRS, this implies that the ratio of their corresponding side lengths are equal. Thus:

QR/AB = QS/AC

QR = m

AB = 10

QS = 9

AC = 6

Plug in the values

m/10 = 9/6

m/10 = 3/2

Cross multiply

2*m = 3*10

2m = 30

m = 30/2

m = 15

You might be interested in

The perimeter of the rectangle is 24 cm. Find the value of x.

cluponka [151]

There's not enough information to solve this.

4 0

3 years ago

Whats the mean of 72+72+72+79+82+82+88?

creativ13 [48]

Answer:

78.1428571429

Step-by-step explanation:

6 0

2 years ago

If Tina traveled 2,000 miles in 5 hours on her plane flight to her vacation destination, how fast was the plane traveling?

IRINA_888 [86]

Answer:

400 miles per hour

Step-by-step explanation:

2.000 miles : 5 hours =400 miles per hour

have a nice day :)

6 0

3 years ago

Tina wants to save money for school.Tina invests $1,000 in an account that pays an interest rate of 6.75%. How many years will i

shepuryov [24]

It take 2.75 years
Step by step explanation:
18600$ / 1000$x6.75%=2.75

5 0

3 years ago

Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4

Ket [755]

Well, for a line with a slope of 3/4, any other parallel line to it, will also have the same slope of 3/4

so if the line through (2, -1) is parallel to it, it has a slope of 3/4 as well

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 

\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=-1\\
x_1=2\\
m=\frac{3}{4}
\end{cases}\\
\textit{and move everything}\\
\textit{to the left-hand-side}
\end{array}\\

\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

7 0

3 years ago