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charle [14.2K]
3 years ago
12

Find the perimeter of ABC.

Mathematics
2 answers:
Romashka [77]3 years ago
5 0
You times 12ft by 3 because to get to 5ft to 15ft you multiply 5 by 3
sergejj [24]3 years ago
3 0

If two shapes are similar, they are scaled by some factor. In other words, you have

AB = k\cdot ED,\quad AC = k\cdot DF,\quad BC = k\cdot EF

In particular, we know that

BC = 15 = k\cdot 5 = EF

And we deduce k=3

So, the perimeter of ABC is

AB+BC+AC = 3ED+3EF+3DF = 3(ED+EF+DF)

So, the perimeter of ABC is three times the perimeter of DEF, and thus it's

12\cdot 3 = 36 feets

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What is the prime factorization of 2x3x5x7
Mashutka [201]

This is already in prime factored form. If you multiply 2, 3, 5, and 7 you get 2*3*5*7 = 6*35 = 210

So if your book asked "what is the prime factorization of 210?" then the answer would be 2*3*5*7

I'm using the asterisk symbol * in place of x because x is often used as a variable in algebra.

6 0
3 years ago
The flower shop sold roses and tulips. The number of roses sold was 5 less than twice the number of tulips sold. If the shop sol
LenaWriter [7]

Answer: the number of roses sold is 69 while number of tulips is 37

Step-by-step explanation:

Let x represent the number of roses that the flower shop sold.

Let y represent the number of tulips that the flower shop sold.

The number of roses sold was 5 less than twice the number of tulips sold. This means that

x = 2y - 5 - - -- -- - - - - - ;1

If the shop sold 106 flowers in total, it means that

x + y = 106

Substituting x = 106 - y into equation 1, it becomes

106 - y = 2y - 5

3y = 106 + 5 = 111

y = 111/3 = 37

x = 106 - y = 106 - 37

x = 69

7 0
3 years ago
1 yard is blank times as long as blank foot
8_murik_8 [283]

Answer:

3

Step-by-step explanation:

1 yard is three feet

5 0
2 years ago
2.the solution set of x +y =5 and x-y =3
Nataliya [291]

Answer:

Check the solution below

Step-by-step explanation:

2) Given the equation

x +y =5... 1 and

x-y =3 ... 2

Add both equations

x+x = 5+3

2x = 8

x = 8/2

x = 4

Substitute x = 4 into 1:

From 1: x+y = 5

4+y= 5

y = 5-4

y = 1

3) Given

x+3y =15 ... 1

2x+7y=19 .... 2

From 2: x = 15-3y

Substitute into 2

2(15-3y)+7y = 19

30-6y+7y = 19

30+y = 19

y = 19-30

y = -11

Substitute y=-11 into x = 15-3y

x =15-3(-11)

x = 15+33

x = 48

The solution set is (48, -11)

4) given

x/2 +y/3 =0 and x+2y=1

From 1

(3x+2y)/6 = 0

3x+2y = 0.. 3

x+2y= 1... 4

From 4: x = 1-2y

Substutute

3(1-2y) +2y = 0

3-6y+2y = 0

3 -4y = 0

4y = 3

y = 3/4

Since x = 1-2y

x = 1-2(3/4)

x = 1-3/2

x= -1/2

The solution set is (-1/2, 3/4)

5) Given

5.x=1/2 and y =x +1 then solution is

We already know the vkue of x

Get y

y= x+1

y = 1/2 + 1

y = 3/2

Hence the solution set is (1/2, 3/2)

6) Given

3x +y =5 and x -3y =5

From 3; x = 5+3y

Substitute into 1;

3(5+3y)+y = 5

15+9y+y = 5

10y = 5-15

10y =-10

y = -1

Get x;

x = 5+3y

x = 5+3(-1)

x = 5-3

x = 2

Hence two solution set is (2,-1)

6 0
2 years ago
Students in Mrs. Doyle's classes use 3/4 of a bottle of hand sanitizer every week. Which expression can be used to find how many
vampirchik [111]

Answer:

A. 12 x 3/4

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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