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4 years ago

ABCD is a rectangle if AC= 5x+2 and BD= x+22 find the value of x

Mathematics

1 answer:

Stells [14]4 years ago

3 0

So hmm notice the picture below

in a rectangle, all angles are 90°, and the diagonals are equal

thus AC = BD or 5x + 2 = x + 22 <--- solve for "x"

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WILL GIVE BRAINLIEST! Find k so that (5, k) is equidistant from (–1, 2) and (3, 0).

pochemuha

Answer:

Step-by-step explanation:

So first I created 2 distance forumlas and set them equal to each other

$\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}$

then I simplified them

$(5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\$

$36 + k^2 - 4k +4 = k^2 + 4$

$-4k + 36 = 0\\$

$4k = 36$

$k = 9$

when k = 9, the two distances are equal

7 0

4 years ago

1) There are 43 girls and 25 boys in the Valley View Middle School chorus. What is the ratio of girls to boys? 43 to 25, or 43:2

Arturiano [62]

Answer:

Oh gosh. Im not positive but I think it would be 43:25. Please dont get mad at me if its wrong!

Step-by-step explanation:

I am so sorry if its wrong but im not very sure :-(

6 0

2 years ago

cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r

iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

Volume of cylindrical vase = 8038.4 cubic centimeters

Height of the cylindrical vase = 40 centimeters

Step:1

Formula for volume of cylindrical vase,

$Volume, V=\pi r^{2} h$ ......................(1)

Where, r - Radius of cylindrical vase

h - Height of cylindrical vase

From the given,

V = 8038.4 cubic centimeters

h = 40 centimeters

Equation (1) becomes,

8038.4 $= \pi r^{2} 40$

$=(3.14)(40)r^{2}$ (∵ $\pi$ = 3.14 )

$8038.4 = 125.6 r^{2}$

$r^{2} = \frac{8038.4}{125.6}$

$r =\sqrt{64}$

r = 8 centimeters

Result:

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0

3 years ago

Is 4/5 greater or less than 45/100 how do you know

rusak2 [61]

Answer:

4/5 is grater than 45/100

Step-by-step explanation:

Why?

because in percentage you make the bottom # a 100 one of them already has that and when it has 100 on the bottom it tells you that the top # is the percentage so 45/100 is 45%

now to make 4/5 a percentage what times 5 = 100?

20 does

so you times the top and bottom by 20

4*20= 80

now your fraction is 80/100 (top # tells you the %)

it's 80%

80% is grater than 45%

5 0

3 years ago

Read 2 more answers

A farmer wishes to enclose a pasture that is bordered on one side by a river (so one of the four sides wont require fencing) She

docker41 [41]

The area enclosed is (2x)(600-2x).(2x)(600−2x)=1200x−4x2
In order to maximize we need the derivative to be equal to 0.y′=1200−8x=0
1200=8x
x=150
Therefore the sides for maximum area are 150*300.
<span>The area is: 45000</span>

6 0

3 years ago

Read 2 more answers