Davia draws a shape with 5 sides tow sides are each 5 inches long.tow other sides are each 4 inches long.the perimeter of the shapes is 27 inches. What is the length of the fifth side?

Answers

Answer 1

Answer: Perimeter = the sum of all sides
Because we know that 2 sides are 5 inches and that 2 other sides are 4 inches long, we can subtract this number from the total 27 to get the 5th side. 5+5+4+4 = 18 27-18= 9
The fifth side = 9 inches

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4(x + 3) + 2x = 6(x + 2)5 + 2(3 + 2x) = x + 3(x + 1)

5(x + 3) + x = 4(x + 3) + 3

4 + 6(2 + x) = 2(3x + 8)

which one has no solutions ?

Answers

The second option is your answer.

5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 4x = x + 3x + 3
11 + 4x = 4x + 3

Subtract 4 from both sides. You are left with an untrue statement:
11 = 3
11 ≠ 3 so therefore your answer is no solution.

Let’s try to look at each one.

First one:
4(x+3)+2x=6(x+2)
We can multiply.
4x+12+2x=6x+12
By looking at this, you can tell it’s equal due to the fact when you add like terms, they will have to same answer.

Second one:
5+2(3+2x)=x+3(x+1)
Let’s multiply.
5+6+4x=x+3x+1
I can already tell this isn’t equal. One has +11 and the other has +1. To make sure, let’s have x=1
5+2(3+2)=1+3(1+1)
5+2(5)=1+3(2)
5+10=1+6
15=7
7 and 15 are not the same number, so the second one doesn’t have any solutions.

mary has 50 earring boxes. the boxes measure 1 inch on each side. how many rectangular prisms, each with a different sized base, could mary make by stacking all of the earring boxes?

Answers

Given:
50 earring boxes
1 inch on each side

Volume = a³ = (1 in)³ = 1 in³
1 in³ x 50 boxes = 50 in³

Let us do a prime factorization:
50 ÷ 2 = 25
25 ÷ 5 = 5

1 x 2 x 5 x 5

probable dimensions of the rectangular prisms

height x width x length
1 x 1 x 50
1 x 2 x 25
1 x 5 x 10

The can make 3 rectangular prisms based on the probable dimension.

What is 8v+w+7-8v+2w

Answers

the equation would be :

0v + 3w+7

this is a question with combining like terms
if you need more help message me

w=7.

Hope this answer helps.

7.2 cw homework help

Answers

Answer:

31. Yes (Y)

WXYZ ~ DABC

S.F.=4

32. Yes (Y)

GHIJ ~ KLMN

S.F.=2/3

33. Missing length: 16

34. Missing length: 30

35. x=7

36. x=10

Step-by-step explanation:

31. The polygons are similar if:

WX/DA=XY/AB

Then:

WX/DA=24/6→WX/DA=4

XY/AB=16/4→XY/AB=4

Like WX/DA=4=XY/AB, the polygons WXYZ and DABC are similar

Scale Factor: S.F.=XY/DA=XY/AB→S.F.=4

32. The polygons are similar if:

GH/KL=HI/LM=IJ/MN=GJ/KN

Then:

GH/KL=6/9=(6/3)/(9/3)→GH/KL=2/3

HI/LM=4/6=(4/2)/(6/2)→HI/LM=2/3

IJ/MN=4/6=(4/2)/(6/2)→IJ/MN=2/3

GJ/KN=4/6=(4/2)/(6/2)→GJ/KN=2/3

Like GH/KL=HI/LM=IJ/MN=GJ/KN=4, the polygons GHIJ and KLMN are similar

Scale Factor: S.F.=GH/KL=HI/LM=IJ/MN=GJ/KN→S.F.=2/3

33. If the polygons are similar, their sides must be proportional, then:

x/24=10/15

Simplifying the fraction on the right sides of the equation, dividing the numerator ans denominator by 5:

x/24=(10/5)/(15/5)

Dividing:

x/24=2/3

Solving for x: Multiplying both sides of the equation by 24:

24(x/24)=24(2/3)

Multiplying:

x=8(2)

x=16

34. If the polygons are similar, their sides must be proportional, then:

54/63=(54/9)/(63/9)→54/63=6/7

48/56=(48/8)/(56/8)→48/56=6/7

x/35=6/7

Solving for x: Multiplying both sides of the equation by 35:

35(x/35)=35(6/7)

Multiplying:

x=5(6)

x=30

36. (8x-2)/63=42/49

Simplifying the fraction on the right sides of the equation, dividing the numerator ans denominator by 7:

(8x-2)/63=(42/7)/(49/7)

Dividing:

(8x-2)/63=6/7

Solving for x: Multiplying both sides of the equation by 63:

63(8x-2)63=63(6/7)

Multiplying:

8x-2=9(6)

8x-2=54

Adding 2 both sides of the equation:

8x-2+2=54+2

Adding:

8x=56

Dividing both sides of the equation by 8:

8x/8=56/8

Dividing:

x=7

37. (6x-6)/63=42/49=30/35

Simplifying the fractions

(6x-6)/63=(42/7)/(49/7)=(30/5)/(35/5)

Dividing:

(6x-6)/63=6/7

Solving for x: Multiplying both sides of the equation by 63:

63(6x-6)63=63(6/7)

Multiplying:

6x-6=9(6)

6x-6=54

Adding 6 both sides of the equation:

6x-6+6=54+6

Adding:

6x=60

Dividing both sides of the equation by 6:

6x/6=60/6

Dividing:

x=10

What is the square root of 102 plz show work

Answers

the square root of 102 is 10.009. for the show ur work part just put numbers multiplied by themselves and circle the closest one to make them think that u did work
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Three arithmetic means between 3 and negative 13