All categories

3 years ago

I need help solving this anyone?

Mathematics

1 answer:

Lelechka [254]3 years ago

4 0

9514 1404 393

Answer:

x = 108
y = 72
z = 18

Step-by-step explanation:

The angles of a linear pair are supplementary. That is, they total 180°. The angle marked x° and the one marked 72° are a linear pair:

x° +72° = 180°

x = 180 -72 = 108 . . . . . . . divide by °, subtract 72

Vertical angles are congruent. Angles y° and 72° are vertical angles, so ...

y = 72

Angles z° and 72° together make a right, which has a measure of 90°.

z° +72° = 90°

z = 90 -72 = 18 . . . . . . . divide by °, subtract 72

(x, y, z) = (108, 72, 18)

_____

<em>Additional comment</em>

Angles 72° and x° form a linear pair, as do angles x° and y°. That is, angles 72° and y° are both supplementary to angle x°. Angles that are supplementary to the same angle are congruent. This will be the case for any vertical angles: they are supplementary to the same angle.

You might be interested in

A swimming pool is a shape of a right rectangular prism if the pool is 12 3/4 yards long 5 2/3 yards wide and 9 yards deep what

Artemon [7]

Answer:

$V=650.25\ yards^3$

Step-by-step explanation:

Given that,

Length = $12\dfrac{3}{4}\ yards$

Width = $5\dfrac{2}{3}\ yards$

Depth = 9 yards

We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :

$V=lbh\\\\V=12\dfrac{3}{4}\times 5\dfrac{2}{3}\times 9\\\\=\dfrac{51}{4}\times \dfrac{17}{3}\times 9\\\\V=650.25\ yards^3$

So, the volume of the swimming pool is equal to $650.25\ yards^3$ .

7 0

3 years ago

2. Solve the below proportion. Please help me.

antoniya [11.8K]

32 3t try add it all up maybe it work but that's the answer

4 0

2 years ago

Read 2 more answers

I only need 12 and 17, first good response i will give brainliest please i’m desperate

Mumz [18]

Answer:

$\textsf{12.} \quad y = 6x - 5$

$\textsf{17.} \quad y=-\dfrac{1}{4}x-2$

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

Let (x₁, y₁) = (2, 7)
Let (x₂, y₂) = (3, 13)

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6$

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

$\implies y-y_1=m(x-x_1)$

$\implies y-7=6(x-2)$

$\implies y-7=6x-12$

$\implies y=6x-5$

<h3><u>Question 17</u></h3>

Given:

f(4) = 3
f(0) = -2

Therefore, two points on the line are:

(4, -3)
(0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

$\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}$