From the figure and statement provided, select the proper TO PROVE Statement.

If two parallel planes are cut by a third plane, the lines of intersection are parallel.

MN= 1AB

AB- BC= AC

M is parallel to

AB= BC

a is parallel to B

Given:

The inequality is [tex]y<-2x-4[/tex].

To find:

The graph of the given inequality.

Solution:

The inequality is

[tex]y<-2x-4[/tex]

The related equation is

[tex]y=-2x-4[/tex]

For x=0,

[tex]y=-2(0)-4[/tex]

[tex]y=0-4[/tex]

[tex]y=-4[/tex]

For y=0,

[tex]0=-2x-4[/tex]

[tex]4=-2x[/tex]

[tex]\dfrac{4}{-2}=x[/tex]

[tex]-2=x[/tex]

So, the related line passes through two points (0,-4) and (-2,0).

Sign of inequality is <, so the related line is a dotted line and shaded region is below the related line.

Therefore, the correct option is B.

Answer:

83 in.^2

Step-by-step explanation:

The entire polygon consists of a rectangle with length 8 in. and width 5 in., a triangle with base 8 in. and height 7 in., and another triangle with base 5 in. and height 6 in.

The total are is the sum of the area of the rectangle and the two triangles.

area = area of rectangle + area of first triangle + area of second triangle

area = LW + bh/2 (for the first triangle) + bh/2 (for the second triangle)

area = 8 in. * 5 in. + 8 in. * 7 in. / 2 + 5 in. * 6 in. / 2

area = 40 in.^2 + 28 in.^2 + 15 in.^2

area = 83 in.^2

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Is it 25

Answer: The Answer is 21 because its 21

Answer:

8 miles

Step-by-step explanation:

2 miles= an hour

4 miles= two hours

6 miles= three hours

8 miles = four hours

Answer:

8

Step-by-step explanation:

Use Pete's walking speed: 2 miles per hour × 4 hours = 8 miles.

Answer:

The correct answer is B

Step-by-step explanation:

Answer:

3/5x + 3/8

Step-by-step explanation:

2/5x + 5/8 + 1/5x - 1/4

1. Combine like terms so now u have

3/5x + 3/8

In case you want to know how I got 3/8

You want a common denominator so

from  5/8 + 1/4, make both denominator 8

so 1 *2/ 4* 2

so now you converted the 1/4 to 2/8

So then 5/8 - 2/8 gives u 3/8 and that's how i got 3/8

Hope this helped!

Answer:

3/5x + 3/8

Step-by-step explanation:

Answer:

The slope of the required line is 1

Step-by-step explanation:

The Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The graph shows a line whose slope can be calculated by selecting two points it goes through. Let's pick points (0,0) and (2,-2). Thus the slope is:

[tex]\displaystyle m=\frac{-2-0}{2-0}=-1[/tex]

The slope (m') of a line that is perpendicular to the line in the graph can be found by using the equation:

m*m'=-1

Solving for m':

[tex]m'=-\frac{1}{m}=-\frac{1}{-1}=1[/tex]

Thus the slope of the required line is 1

Answer:

Step-by-step explanation:

Perimeter=a+b+c=6+8+10=24 m

Area=1/2*a*b=1/2*6*8=24 m^2

Answer:

71

Step-by-step explanation:

i just want to ask a question sorry for not being helpful

Answer:

y=1/5x+0

Step-by-step explanation:

Answer:

81.4285714286

Step-by-step explanation:

Answer:

[tex]5.6 *10^7[/tex]

Step-by-step explanation:

Given

[tex](4.54*10^8)-(3.98*10^8)[/tex]

Required

Solve

[tex](4.54*10^8)-(3.98*10^8)[/tex]

Apply distributive law of algebra

[tex](4.54 - 3.98) *10^8[/tex]

Evaluate the expression in bracket

[tex](0.56) *10^8[/tex]

Remove bracket

[tex]0.56 *10^8[/tex]

When a number is in standard form: [tex]a * 10^n[/tex]

The value of a must be: [tex]1 \le a \le 10[/tex]

So, the expression becomes:

[tex]5.6 *10^{-1}*10^8[/tex]

Apply law of indices

[tex]5.6 *10^{-1+8}[/tex]

[tex]5.6 *10^7[/tex]

Answer: C.) y = 2x + 5

Answer:

The correct answer is C. y = 2x + 5

Step-by-step explanation:

I got it right. Hope this helps.

Answer:

d=1/4

Step-by-step explanation:

Answer:

5952

Step-by-step explanation:

6000

Answer:

the two numbers are 12 and -1.

Step-by-step explanation:

Let the large number be represented by x and the smaller number by y.

So that;

x = 8y + 20 .................. 1

x + y = 11 ................... 2

From equation 2,

x = 11 - y .......... 3

Substitute equation 3 into equation 1 to have,

11 - y = 8y + 20

11 - 20 = 8y + y

-9 = 9y

divide through by 9 to have,

y = -1

Substitute the value of y in equation 3,

x = 11 - (-1)

  = 11 + 1

  = 12

x = 12

x = 12, y = -1

The two numbers are 12 and -1.

Answer:

y-int: -9, slope: 3/5

Step-by-step explanation:

Step-by-step explanation:

SAS I think?

AB and BC are congruent

BD and BD share to same line so they are the same

Angle B is cut in half thus for they both equal so I think this is proven by SAS but I might be wrong.

Answer:

Step-by-step explanation:

here you go mate

step 1

x + 7 < 9  equation

step 2

x + 7 < 9  subtract -7

x+7(-7)<9(-7)

answer

x<2

Answer:

[tex] {(x - 5)}^{2} + {(y + 1)}^{2} = 4 \\ {(x - a)}^{2} + {(y -b) }^{2} = {r}^{2} [/tex]

Comparing both the equation we get,

hypothesis is a guess that you test run.

Answer:

U need to just do

[tex] \sqrt{3 \div 4} a {}^{2} [/tex]

Answer:

4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The segment from a vertex to the side opposite is a perpendicular bisector.

The equilateral Δ is divided into 2 right triangles with legs 8 and 4

let height be h, then using Pythagoras' identity

h² = 4² + 8² = 16 + 64 = 80 ( take the square root of both sides )

h = [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex] ← exact value

Answer:

the answer is A

Step-by-step explanation:

Answer:

3/5 as a division is 0.6

Step-by-step explanation:

To write a fraction as a division, we basically divide the values, since the fraction represents a division.

In this question:

We want 3 divided by 5.

3 is less than 5, so we can multiply 3 by 10(getting 30), and adding a 0 to the quotient.

So now 0.(30/5) = 0.6, which means that 3/5 as a division is 0.6.