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3 years ago

What is the value of x? (60 POINTS BRANLIEST IF RIGHT)

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

8 0

Answer:

Since all three of the interior angles are the same degree, the three sides must be the same length. So, 3x - 5, 4x - 30, and 2x + 20 must be equal.

To solve for x, you can just set one of the sides equal to another one of the sides. I will do 3x - 5 and 4x - 30.

3x - 5=4x - 30

Add 5 to both sides.

3x = 4x - 25

Subtract 4x from both sides.

-x = -25

Divide both sides by -1.

x=25

MatroZZZ [7]3 years ago

5 0

Answer:

[see below]

Step-by-step explanation:

The triangle shown is equilateral, as all three angles are marked congruent.

This means that the sides are equal to each other.

$4x - 30 = 2x + 20\\\rule{150}{0.5}\\4x - 2x - 30 = 2x - 2x + 20\\\\2x - 30 = 20\\\\2x -30 + 30 = 20 + 30\\\\2x = 50\\\\\frac{2x=50}{2}\\\\\boxed{x = 25}$

Hope this helps you.

You might be interested in

. Given ????(5, −4) and T(−8,12):

damaskus [11]

Answer:

a) $y=\dfrac{13x}{16}-\dfrac{129}{16}$

b) $y = \dfrac{13x}{16}+ \dfrac{37}{2}$

Step-by-step explanation:

Given two points: $S(5,-4)$ and $T(-8,12)$

Since in both questions,a and b, we're asked to find lines that are perpendicular to ST. So, we'll do that first!

Perpendicular to ST:

the equation of any line is given by: $y = mx + c$ where, m is the slope(also known as gradient), and c is the y-intercept.

to find the perpendicular of ST <u>we first need to find the gradient of ST, using the gradient formula.</u>

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

the coordinates of S and T can be used here. (it doesn't matter if you choose them in any order: S can be either x_1 and y_1 or x_2 and y_2)

$m = \dfrac{12 - (-4)}{(-8) - 5}$

$m = \dfrac{-16}{13}$

to find the perpendicular of this gradient: we'll use:

$m_1m_2=-1$

both $m_1$ and $m_2$ denote slopes that are perpendicular to each other. So if $m_1 = \dfrac{12 - (-4)}{(-8) - 5}$ , then we can solve for $m_2$ for the slop of ther perpendicular!

$\left(\dfrac{-16}{13}\right)m_2=-1$

$m_2=\dfrac{13}{16}$ :: this is the slope of the perpendicular

a) Line through S and Perpendicular to ST

to find any equation of the line all we need is the slope $m$ and the points $(x,y)$ . And plug into the equation: $(y - y_1) = m(x-x_1)$

side note: you can also use the $y = mx + c$ to find the equation of the line. both of these equations are the same. but I prefer (and also recommend) to use the former equation since the value of 'c' comes out on its own.

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

we have the slope of the perpendicular to ST i.e $m=\dfrac{13}{16}$

and the line should pass throught S as well, i.e $(5,-4)$ . Plugging all these values in the equation we'll get.

$(y - (-4)) = \dfrac{13}{16}(x-5)$

$y +4 = \dfrac{13x}{16}-\dfrac{65}{16}$

$y = \dfrac{13x}{16}-\dfrac{65}{16}-4$

$y=\dfrac{13x}{16}-\dfrac{129}{16}$

this is the equation of the line that is perpendicular to ST and passes through S

a) Line through T and Perpendicular to ST

we'll do the same thing for $T(-8,12)$

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

$(y -12) = \dfrac{13}{16}(x+8)$

$y = \dfrac{13x}{16}+ \dfrac{104}{16}+12$

$y = \dfrac{13x}{16}+ \dfrac{37}{2}$

this is the equation of the line that is perpendicular to ST and passes through T

7 0

3 years ago

-5(6n+6)=30 I need help

Mrac [35]

Answer:

N= -2

Step-by-step explanation:

7 0

3 years ago

Please help me! Thank you!

timurjin [86]

Answer:

<h3>I will chose the answer C </h3><h3 />

4 0

3 years ago

Marcus observed that 8 of the 20 games that he had bowled last week were over 180. What percent of his games were over 180?

shepuryov [24]

Answer:

40%

Step-by-step explanation:

Ok so my brain is sorta not working but it said "hey! 20 divided by 2 is 10!"

So I was like ight and divided 80 by 2 to to get 40%.

Hope this helps.

6 0

3 years ago

Find the perimeter use pi

balandron [24]

Since d x pi = circumference
I use 3.14 as pie

I did 9 x pi = 28.26 I DID NOT divide this by two because there are three half circles and 28.26 counts as two of them

Since there is another half circle I divide 28.26 by 2

28.26 + 14.13 = 42.39

Now plus the bottom length

42.39 + 9 = 51.39

Brainliest answer please?

8 0

3 years ago