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2 years ago

Write an equation that you can use to find the value of x. Perimeter of triangle: 16 in. An equation that you can use is 16=

Mathematics

1 answer:

Ad libitum [116K]2 years ago

5 0

Answer

16=3x

Step-by-step explanation:

Each side has x

there is 3 sides

so 3x will equal 16.

Hope this helped!

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David cast a shadow 42" long at the same place and time in Emma cast a shadow 28" long. David is 66" tall. What is Emma's height

Nikolay [14]

ANSWER

Emma is 44" tall

EXPLANATION

We have that David cast a shadow 42 inches long and he is 66 inches tall.

At that same place and time, Emma cast a shadow of 28 inches.

Since they are at the same spot and time, we can conclude that the ratio of their height to shadow must be the same.

Let Emma's height be x.

The ratio of David's shadow to height is:

42 : 66 or 42 / 66

For Emma, it is:

28 : x or 28 / x

That means that:

$\begin{gathered} \frac{42}{66}\text{ = }\frac{28}{x} \\ \text{Solve for x by cross-multiplying:} \\ 42\cdot\text{ x = 66 }\cdot\text{ 28} \\ x\text{ = }\frac{66\cdot\text{ 28}}{42} \\ x\text{ = 44 inches} \end{gathered}$

So, Emma is 44" tall.

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5 months ago

The line segment shown is rotated 90° about the origin (counterclockwise). What are the new coordinates of point A? A) (2, 1) B)

rjkz [21]

Under a counterclockwise rotation about the origin of 90°

a point (x , y ) → (- y, x ), hence

A(2, 1 ) → A'(- 1, 2 )

3 0

2 years ago

Read 2 more answers

Find x. Assume that segments that appear tangent are tangent.

kipiarov [429]

Assuming that CB is tangent, this is just a right triangle with a hypotenuse of 20 and a side of 12 so by the Pythagorean Theorem:

20^2=12^2+x^2

400=144+x^2

x^2=400-144

x^2=256

x=16

6 0

2 years ago

How do you write the quotient when a number is divided by 2 decreased by 2

AnnyKZ [126]

__D__
12-2

D OVER 12-2

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2 years ago

Solve the system of equations. x+y=4 y=x^2 - 8x + 16 a) {(-3,7).(-4, 8)} b) [(4,0)} c) {(3,1),(4,0) d) {(3,7). (4.0)} e) none

Marysya12 [62]

Answer: The required solution of the given system is

(x, y) = (3, 1) and (4, 0).

Step-by-step explanation: We are given to solve the following system of equations :

$x+y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x^2-8x+16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (i), we have

$x+y=4\\\\\Rightarrow y=4-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of y from equation (iii) in equation (ii), we get

$y=x^2-8x+16\\\\\Rightarrow 4-x=x^2-8x+16\\\\\Rightarrow x^2-8x+16-4+x=0\\\\\Rightarrow x^2-7x+12=0\\\\\Rightarrow x^2-4x-3x+12=0\\\\\Rightarrow x(x-4)-3(x-4)=0\\\\\Rightarrow (x-3)(x-4)=0\\\\\Rightarrow x-3=0,~~~~~~~x-4=0\\\\\Rightarrow x=3,~4.$

When, x = 3, then from (iii), we get

$y=4-3=1.$

And, when x = 4, then from (iii), we get

$y=4-4=0.$

Thus, the required solution of the given system is

(x, y) = (3, 1) and (4, 0).

8 0

3 years ago