Barbara bought a piece of rope that was 6 3/4 meters long. She cut the rope into 6 equal pieces. How long is each piece of rope?

Answer: 1. a

2. 8

3. b

4. -2

5. c

6. d

7. a

8. a

9. d

10. d

Step-by-step explanation:

Given:

The given figure is dilated by a scale factor 1.5.

To find:

The coordinates of B' and C'.

Solution:

If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is

[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]

From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).

The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is

[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]

[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]

[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]

[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]

Using this rule, we get

[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]

[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]

[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]

And

[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]

[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]

[tex]C(-2,2)\to C'(-6,-6)[/tex]

Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).

Answer:

The Triangles are proportional

Step-by-step explanation:

This is because the difference in each triangle is that each one is adding one inch to each side

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Answer:

x=0 does not mean no solution

Step-by-step explanation:

so kyra is incorrect

Answer:0.80

Step-by-step explanation: calculator

Answer:

85 mph

Step-by-step explanation:

297.5 divided by 3.5

Answer:

Mr. Grouper can invite 528 people to his sons graduation party.

Step-by-step explanation:

x= number of people

3.50x +150 =2000

-150

3.50x = 1850

1850/ 3.50

528.571428571  = 528

Mr. Grouper can invite around a total of 528 people to attend for the graduation party of his son.

Equation is a statement including expressions on two sides related by an '=' sign. This may or may not include two or more variables and can be solved using various methods.

Total budget for the graduation party = $2000

Cost to rent the venue = $150

Cost of gift for each guest = $3.50

Let n be the number of guests invited for the party.

Then 3.50n will be the total cost for the guests.

Then we have the linear equation,

150 + 3.50 n = 2000

Solving this will get the number of guests, n.

3.50n = 2000 - 150

3.50n = 1850

n = 1850 / 3.50

n = 528.57 ≈ 528

Hence Mr. Grouper can invite almost 528 people to his son's graduation party.

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He needs 20 minutes to install all of the fence.

Since we have given that

Dimensions of triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

1) For making it a right triangle it must satisfy the "Pythagorus theorem" which states that

H²= B²+P²

⇒ 20²= 15²+8²

⇒ 400 ≠ 225+64

⇒ 400≠ 289

No, it will not be able to make a right triangle.

2) Joel cut the longest piece of wood in order to make a right triangle.

So, from above we get that

√289= 17 FEET

So, Longest side must be 17 feet.

It is takes him 30 seconds to install each foot of fencing,

Total perimeter of fencing will be

17+15+8=40 feet

So, for 1 foot he needs = 30 seconds

For 40 feet , he will need

40×30=1200 seconds

1200/60

= 20 MINUTES

Hence, he needs 20 minutes to install all of the fence.

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Answer:

$600

Step-by-step explanation:

1,200 · 0.05 = 60

60 · 10 = 600

Answer:

the correct amount that Vince have to pay back altogether is $927

Step-by-step explanation:

The computation of the correct amount that Vince have to pay back altogether is as follows:

As we know that

Amount = Principal + Principal × rate of interest × time

= $900 + $900 × 0.015 × 2

= $900 + $27

= $927

Hence, the correct amount that Vince have to pay back altogether is $927

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

use 2 variable for the problem. say pear=x apple=y.

3x+4y=1.6

Step-by-step explanation:

Answer:

y = 10x - 46

Step-by-step explanation:

slope intercept form: y = mx + b

m is slope and b is y-intercept

given: y - 4 = 10(x-5)

1. distibute 10

y - 4 = 10x - 50

2. we need to get y by itself so bring -4 to other side

y = 10x - 50 + 4

y = 10x - 46

slope-intercept form is [tex]y=mx+b[/tex]

[tex]y=10(x-5)+4[/tex]          ↣ We move -4 to another side and become positive number.

[tex]y=(10x-50)+4[/tex]             ↣ Distribute 10 inside the brackets.

[tex]y=10x-50+4\\y=10x-46[/tex]            ↣ Then we get the slope-intercept form.

Thus, the answer is [tex]y=10x-46[/tex]

[tex]y-2=-\frac{1}{3}(x+6)\\y=-\frac{1}{3}(x+6)+2[/tex]

Simply move -2 to another side.

[tex]y=-\frac{x}{3}-2+2[/tex]

Distribute -1/3 in (x+6)

[tex]y=-\frac{x}{3}[/tex]        ---> Answer

Answer:

x + 3y = 0

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y - 2 = - [tex]\frac{1}{3}[/tex] (x + 6) ← distribute

y - 2 = - [tex]\frac{1}{3}[/tex] x - 2 ( add 2 to both sides )

y  = - [tex]\frac{1}{3}[/tex] x ( multiply through by 3 to clear the fraction )

3y  = -  x ( add x  to both sides )

x + 3y = 0 ← in standard form

Answer:

i don't have the answer but i can add the chart for thos who can answer the question

Step-by-step explanation:

Answer:

1. Reflection

2. rotation and reflection

3. b', b''

4. 26.3

Step-by-step explanation:

1. It is like looking in a mirror. Its is being reflected across the y axis

2. It is rotated 90 degrees to the right. Then reflected over the x axis.

3. they are the same

4. It is the same as A" B" C" D" so the lengths are the same and you just add them.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

I just guessed, it makes sense

Answer:

It is xy

Step-by-step explanation:

Answer:

XY

Step-by-step explanation:

omit the hypotenuse (XZ) since it's always hypotenuse while the adjacent and opposite sides vary.

hypotenuse cannot be both adjacent and hypotenuse at the same time.

Answer:

9/70

Step-by-step explanation:

Mathematically;

Average rate of change on an interval [a,b] is;

f(b) - f(a)/b-a

f(0) = -3/5

f(3) = -3/14

a = 0

b = 3

Making the substitution, we have

-3/14-(-3/5)/3-0

= 3/5-3/14/3

= (42-15)/70/3

= 27/70/3

= 27/70 * 1/3 = 9/70

Answer:

.592 the full thing is .592797783934

Step-by-step explanation:

calculator

Answer:

1:4 and 6:24

Step-by-step explanation:

Answer:

1:4 and 16:18 or 3:1

Step-by-step explanation:

1:4 because 1 x 3=3 and 3 x 4=12,

3 x 1=3 and 1 x 12=12,

4 x 4=16

6 x 3= 18

First, lets call the larger circle "A" and the smaller circle "B".

Answer:

5:3

Step-by-step explanation:

hope this help brainliest pls

Answer:

18

Step-by-step explanation:

|30 - 5| - |-7| = 18

p = -2

I did the work :)

Answer:

Each base angle of one triangle is 54°

Step-by-step explanation:

Since the angles meeting in the center are congruent and all form 360° then it means each angle will be 360°/5 = 72°(since we have 5 angles).

Since they are all isosceles triangles, it means two base angles are equal and can be gotten by:

(180 – 72)/2 = 54°.

Each base angle of one triangle is 54°

The measure of a base angle of one of the triangles is 54°.

Given that,

A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

A regular pentagon is shown. Lines are drawn from each point to a point in the center to form congruent isosceles triangles.

The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees.

The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent,

We have to determine,

What is the measure of the base angle of one of the triangles?

According to the question,

The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees.

The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent,

The angles meeting in the center are congruent and all form 360°.

then it means each angle will be,

[tex]=\dfrac{360}{5}\\\\= 72 \ degree[/tex]

There are 5 angles.

Therefore,

All isosceles triangles, it means two base angles are equal and can be,

[tex]=\dfrac{180-72}{2}\\\\=\dfrac{108}{2}\\\\=54[/tex]

Hence, Each base angle of one triangle is 54°

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Answer:

20 percent or 0.7 .

Step-by-step explanation: