All categories

3 years ago

Determine the length of the legs in the right triangle below.

Mathematics

1 answer:

Marysya12 [62]3 years ago

5 0

Answer:

x = 14

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (14 $\sqrt{2}$ )²

2x² = 392 ( divide both sides by 2 )

x² = 196 ( take the square root of both sides )

x = $\sqrt{196}$ = 14

Thus the congruent legs are 14 cm

You might be interested in

Using the numbers 0-6 once, make 2 equivalent ratios

fenix001 [56]

Step-by-step explanation:

As we have to use the number 0-6 once to make 2 equivalent ratios.

so lets solve the problem.

Determining first equivalent ratio

5 times 2 = 10

and

32 times 2 = 64

Together will get 10/64

Therefore, first equivalent ratio

$\:\frac{5}{32}=\frac{10}{64}$

Determining second equivalent ratio

$\frac{13}{65}=\frac{4}{20}$

$\frac{13}{65}=\frac{1}{5}$

and

$\frac{4}{20}=\frac{1}{5}$

Therefore, second equivalent ratio

$\frac{13}{65}=\frac{4}{20}$

8 0

3 years ago

The population of a city decreases by 4.3% per year. If this year's population is p, which expression represents next year's pop

astra-53 [7]

P+4.3%=0 p=-4.3% for each year

6 0

2 years ago

What’s the probability of p(7)

Marrrta [24]

Answer:

The question not complete

7 0

3 years ago

The coordinates of parallelogram UVWZ are U(a, 0), W(c - a, b), and Z(c, 0). Find the coordinates of V without using any new var

UkoKoshka [18]

Check the picture below.

so, as you can see, the UV segment is parallel to ZW, and therefore, they're the same slope, hmmm wait just a second, what is the slope of ZW anyway?

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Z&(~ c &,& 0~) 
% (c,d)
&W&(~ c-a &,& b~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{b-0}{(c-a)-c}\implies \cfrac{b}{-a}$

since now we know the ZW slope, we also know what is the slope for UV, thus,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&U&(~ a &,& 0~) 
% (c,d)
&V&(~ x &,& y~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-0}{x-a}~~=~~\stackrel{ZW's~slope}{\cfrac{b}{-a}}
\\\\\\
\begin{cases}
y-0=b\implies \boxed{y=b}\\
-----------\\
x-a=-a\implies \boxed{x=0}
\end{cases}\qquad \qquad V~(0,b)$

8 0

3 years ago

Please answer this onee :C

ziro4ka [17]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers