All categories

3 years ago

How do i solve this step by step??

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Answer:

x = 30

Step-by-step explanation:

well the two agnles are congruent so they have to equal the same angle

x+ 90 = 4x

solve for x bye subtracting x from 90

90 = 3x slove by dividing 90 by 3 getting x alone

90/3 = x

You might be interested in

A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe

Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

Length of the Larger Rectangle =80+2w
Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

$1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.$

6 0

2 years ago

Find the slope-intercept form of the equation of the line passing through the given points.

Ugo [173]

$The\ slope-intercept\ form:y=mx+b\\\\The\ slope-point\ form:y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

$(1;\ 1)\to x_1=1;\ y_1=1\\\left(3;-\dfrac{1}{5}\right)\to x_2=3;\ y_2=-\dfrac{1}{5}.\\\\Subtitute:\\\\m=\dfrac{-\frac{1}{5}-1}{3-1}=\dfrac{-1\frac{1}{5}}{2}=-\dfrac{\frac{6}{5}}{2}=-\dfrac{\not6^3}{5}\cdot\dfrac{1}{\not2_1}=-\dfrac{3}{5}$

$y-1=-\dfrac{3}{5}\left(x-1\right)\\\\y-1=-\dfrac{3}{5}x+\dfrac{3}{5}\ \ \ \ |add\ 1\ to\ both\ sides\\\\\boxed{y=-\frac{3}{5}x+1\frac{3}{5}}$

5 0

3 years ago

Does anyone know how to do this i need help please?

iVinArrow [24]

Answer:

Step-by-step explanation:

Do the x-axis then the y-axes thats all i know sorry if i could not help that much

4 0

3 years ago

Please help, i need someone to answer fast please

RSB [31]

Answer: A and C And B

Step-by-step explanation: (I AM NOT 100% SURE WAIT FOR SOME ELSE JUST IN CASE if you dont uh hope its right)

3 0

3 years ago

The times for three swimmers are 101.85 seconds, 101.6 seconds, and 59.625 seconds. Which is the winning time? how many seconds

bija089 [108]

Hello there! the winning time is 59.625 seconds.

This is the person who completed the lowest amount of time, meaning they finished first. The others too longer so they finished later, meaning they didn't win.

I hope this was helpful and have a great day! :)

3 0

3 years ago