MATHEMATICS HIGH SCHOOL

Find x of this shape.

Answers

Answer 1

Answer:

Answer:

x = 9

Step-by-step explanation:

M is at the midpoint of GA and N is at the midpoint of HA, hence

MN is a mid-line segment and is half the length of GH, that is

5x = $(1)/(2)$ (15x - 45) ← multiply both sides by 2

10x = 15x - 45 ( subtract 15x from both sides )

- 5x = - 45 ( divide both sides by - 5 )

x = 9

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Simplify -(3x - 4y) +x by combining like terms
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Which is the point where sides meet in a polygon
paul paints a room in 6 hours. joel paints the room in 3 hours. how long will it take them to paint togather?
Which is greater 0.37 or 0.0037

. A triangular prism is attached to a rectangular prism as shown below.If w = 8 inches, x = 5 inches, y = 20 inches, and z = 11.3 inches, what is the surface area of the figure?
a 860 square inches
b 760 square inches
c 960 square inches
d 1,060 square inches

Answers

i got u
5*5*2 for both sides of squares =50
8*8/2*2 for both sides of right triangles =64
8*20*2 for roof portion= 320
20*5*3 for walls and floor of house shape =300
z-x*y for space under roof and above walls
6.3*20=126
50+64+320+300+126=860 your answer is A
plz give brainliest -J (:

Write the first three terms of the series for which tn = 2(n+3). Find the number of terms of the series required to make the sum 228.

Answers

Answer:

The first three terms of the series are 8, 10 and 12. The number of terms is 12 to make the sum 228.

Step-by-step explanation:

The series is defined as

$t_n=2(n+3)$

Put n=1.

$t_1=2(1+3)=2* 4=8$

Put n=2.

$t_2=2(2+3)=2* 5=10$

Put n=3.

$t_3=2(3+3)=2* 6=12$

The first three terms of the series are 8, 10 and 12.

It is an arithmetic series. The first terms is 8 and the common difference is

$d=a_2-a_1=10-8=2$

The sum of n terms of an arithmetic series is

$S_n=(n)/(2)[2a+(n-1)d]$

$288=(n)/(2)[2(8)+(n-1)2]$

$288=(2n)/(2)[8+n-1]$

$288=n[n+7]$

$0=n^2+7n-288$

$0=n^2+19n-12n-288$

$0=n(n+19)-12(n+19)$

$0=(n+19)(n-12)$

Equate each factor equal to zero.

$n=-19,12$

The number of terms can not be negative, therefore the value of n must be 12.

Ben wants to put a dog fence around an areain his yard. If the length is 5 feet longer than its
width and Ben uses 70 feet of fencing, what are
the dimensions of the enclosed area? PLEASE HURRY

Answers

Answer:the dimensions of all sides are 15 and 15 then add 5 because it said to and you would get 20 and 20 witch all together is 70 feet of fencing

Step-by-step explanation:

Write the given equation in slope intercept form x-6y=0

Answers

The equation x - 6y = 0 can be written in slope-intercept form as y = (1/6)x

How to write the equation in slope intercept form

To convert the given equation into slope-intercept form (y = mx + b), we isolate y on one side of the equation.

First, we add 6y to both sides to get x = 6y.

Next, we divide both sides by 6, yielding y = (1/6)x.

The slope (m) iis1/6 which represents the change in y for every unit change in x. The intercept (b) is 0, indicating that the line passes through the origin.

In conclusion, the equation x - 6y = 0 can be written in slope-intercept form as y = (1/6)x. This form allows us to easily identify the slope and y-intercept, providing valuable information about the graph of the line. The slope of 1/6 means the line has a positive slope, and the y-intercept of 0 indicates that the line passes through the origin.

Read more about y-intercept here:brainly.com/question/26249361

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For this problem I got y= 1/6x

To begin an indirect proof you assume the converse of what you intend to prove is true