Exercise #5: Quadrilateral EFGH has vertices at E(-6,2), F(3,8), G(7,2), and H(-2,-4).

Calculate the slopes of all four sides of EFGH. Use these slopes to prove that EFGH is a rectangle.

Answer: -43010000.

Step-by-step explanation: 3.99 million is 3,990,000. From there, you subtract 47,000,000 from 3,990,000. The answer is -43010000.

Have a great day! :)

Hello, the answer to your question is "Sure!"

These are the expressions:

12x-6x-9y+5y

Combine Like Terms:

6x-4y

Bingo! Now, one more:

Hmmm, let me think...

-18x+24x+16y-20y

Combine Like Terms:

6x-4y

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

y = -2x - 2

Step-by-step explanation:

Answer: 22.44$

Step-by-step explanation:

1. 30 x 0.20 = 6

2. 30 - 6 = 24

3. 24 x 0.065 = 1.56

24 - 1.56 = 22.44$

[tex] \frac{10}{10 {}^{ \frac{3}{4} } } = 10 {}^{1 - \frac{3}{4} } = 10 { }^{ \frac{4 - 3}{4} } [/tex]

[tex]10 {}^{ \frac{ 1}{4} } [/tex]

Answer: B and D

Step-by-step explanation:

Edge 2023

Answer:

12

Step-by-step explanation:

60% of 30 is 18 (girls)

40% of 30 is 12  (boys)

Answer:

12 boys

Step-by-step explanation:

60% is the same as 6/10, and if you make the denominator 30, you must make the denominator multiply by three as well as the numerator.  this makes the number 18/30 girls in a class. if you subtract the girls from the total number of people, you get 12 boys, or 40% of the class.

you can also find that 100% - 60% = 40%, which is equal is equal to 4/10. After it's multiplied by 3 again, it becomes 12/30 or 12 boys.

Answer:

9/15 (0.6)

Step-by-step explanation:

(9/5) x(1/3)= 9/15

Answer:

32\15

Step-by-step explanation

This value is approximate since pi = 3.14 is approximate.

=======================================================

Work Shown:

r = radius = diameter/2 = 20/2 = 10 inches

L = slant height = 40 inches

SA = surface area of the cone

[tex]\text{SA} = \pi*r^2 + \pi*r*L\\\\\text{SA} = \pi*10^2 + \pi*10*40\\\\\text{SA} = \pi*100 + \pi*400\\\\\text{SA} = 100\pi + 400\pi\\\\\text{SA} = (100+400)\pi\\\\\text{SA} = 500\pi \text{ ... exact surface area in terms of pi}\\\\\text{SA} \approx 500*3.14\\\\\text{SA} \approx 1570\\\\[/tex]

The surface area of the cone is approximately 1570 square inches.

We can abbreviate "square inches" into [tex]\text{in}^2[/tex]

If you want to get a more accurate surface area value, then use more decimal digits of pi.

Answer:

$4.75

Step-by-step explanation:

To find the unit price (price for one), just divide $9.30 by 2. You get that one clay pot (the price for one unit) is $4.75.

Hopefully this helps- let me know if you have any questions!

Answer:

That would be a compass.

Step-by-step explanation:

This allows you to draw circles with great accuracy.

Answer :

⠀

Explanation :

We know,

[tex]{ \longrightarrow \qquad\pmb {\boldsymbol{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}[/tex]

Where,

⠀

Substituting the values in the formula :

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times ({4})^{2} \times 6 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 16\times 6 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 96 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \it{ \pmb{ Volume_{(cylinder)} {= 301.44 \: }}}}}}[/tex]

⠀

Therefore,

Answer:

One

Step-by-step explanation:

       First, we need to check a triangle with these sides is possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.

       To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.

            However, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.

Answer:

3/5

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

We can put an actual number to this just for easier purposes

So let's say there was 100 oranges at the grocery store

Mom brought home 1/4 which is 25 oranges

100 * [tex]\frac{1}{4}[/tex] = 25

So now we have 25 oranges

Then, Shyla ate 2/5 of the oranges

So we want 2/5 of the 25 left oranges

25 * [tex]\frac{2}{5}[/tex] = 10

And 10 out of 100 is:

1/10

The easier way to do it is to just multiply the fractions together:

[tex]\frac{1}{4} * \frac{2}{5} = \frac{2}{20} = \frac{1}{10}[/tex]

If you have any questions feel free to comment and if this helped a brainliest would be appreciated :)

Answer: 5040

Step-by-step explanation:

7•6•5•4•3•2•1=5040

Answer:

The Answer Is 2200in^3

Step-by-step explanation:

I Took The Test And Got It Right

Step-by-step explanation:

you need to calculate all the sides that are given to get the other side

It seems like they have shown you how to calculate so give it a try

Step-by-step explanation:

I hope its helped ?? huhuhu sorry if im wrong:)

Answer:

9/8 or 1 1/8

Step-by-step explanation:

3*3/8

3/1*3/8

numerator times numerator and denominator times denominator:

3×3/1*8 = 9/8 or 1 1/8

Answer:

16.02

Step-by-step explanation:

2. What inference can you make by comparing the measures

of variability?

I need the answer

16.02

[tex]\qquad\qquad\huge\underline{{\sf Answer♪}}[/tex]

If the given triangles are congruent, then their corresponding sides are equal as well ~

So, let's use this condition

[tex]\qquad \sf  \dashrightarrow \:2y + 5 = 3y + 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:3y - 2y = 5 - 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 3[/tex]

and

[tex]\qquad \sf  \dashrightarrow \:2x + 7 = 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 4[/tex]

Answer:

a ground fault circuit interrupted

Answer:

By using what we know about intersecting lines, we will see that: a) ∡7 = 47° b) 47° + (2x - 5)° = 180° c) x = 69 How to get the measures of the angles for two intersecting lines? When two lines intersect, 4 angles are formed. There are two properties that these angles have. If the angles are adjacent, then their measures add up to 180° If the angles are not adjacent, these angles have the same measure. a) We know that ∡5 = 47° And 7 is not adjacent to 5, then 7 has the same measure: ∡7 = 47° b) 6 and 5 are adjacent, then we must have that: ∡5 + ∡6 = 180° 47° + (2x - 5)° = 180° That is the equation we need to solve to get the value of x. c) To solve the linear equation we need to isolate x, let's do that: 47° + (2x - 5)° = 180° (2x - 5)° = 180° - 47° = 133° 2x - 5 = 133 2x = 133 + 5 = 138 x = 138/2 = 69. If you want to learn more about linear equations, you can read: brainly.com/question/1884491

Answer:

20°

Step-by-step explanation:

40°, 70° and 90° are the measures of the three angles of the quadrilateral.

Measure of fourth angle of the Quadrilateral

= 360° - (40° + 70° + 90°)

= 360° - 200°

= 160°

Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.

Thus,

[tex]m\angle 1 = 180\degree- 160\degree[/tex]

[tex]\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}[/tex]

Alternate method:

[tex]m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)][/tex]

[tex]\implies m\angle 1 = 180\degree- [360\degree-200\degree][/tex]

[tex]\implies m\angle 1 = 180\degree- 160\degree[/tex]

[tex]\implies m\angle 1 = 20\degree[/tex]

Answer:

m∠1 = 20°

Step-by-step explanation:

Alternate interior angle theorem (z-angles): when two parallel lines are cut by a transversal, the resulting alternate interior angles are equal.

Therefore, because of the parallel lines, angle 1 is equal to the missing angle in the quadrilateral (see attached diagram - alternate angles marked in red).

Let x = unknown angle in the quadrilateral (marked in blue on attached diagram)

Sum of interior angles of a quadrilateral = 360°

⇒ x + 40° + 70° + 90° = 360°

⇒ x + 200° = 360°

⇒ x = 160°

Angles on a straight line add up to 180°

⇒ x + m∠1 = 180°

⇒ 160° + m∠1 = 180°

⇒ m∠1 = 20°

Answer:

5/9

Step-by-step explanation:

Let the probability of getting a multiple of 3 is "A"

Let the probability of getting an even number is "B"

Total number of outcomes=36

Total number of favourable outcomes of either a multiple of 3 or an even number are

(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)

That is we have 20 favourable outcomes

Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=

total number of outcomes

favourable outcomes

Therefore, after substituting the values we get

probability=\frac{20}{36}probability=

36

20

After simplification we will get

probability=\frac{5}{9}probability=

9

5

Answer:

no

Step-by-step

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Find the values of

m

and

b

using the form

y

=

m

x

+

b

.

m

=

4

b

=

−

6

The slope of the line is the value of

m

, and the y-intercept is the value of

b

.

Slope:

4

y-intercept:

(

0

,

−

6

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

Tap for fewer steps...

Find the x-intercept.

Tap for fewer steps...

To find the x-intercept(s), substitute in

0

for

y

and solve for

x

.

0

=

4

x

−

6

Solve the equation.

Tap for fewer steps...

Rewrite the equation as

4

x

−

6

=

0

.

4

x

−

6

=

0

Add

6

to both sides of the equation.

4

x

=

6

Divide each term by

4

and simplify.

Tap for fewer steps...

Divide each term in

4

x

=

6

by

4

.

4

x

4

=

6

4

Cancel the common factor of

4

.

Tap for fewer steps...

Cancel the common factor.

4

x

4

=

6

4

Divide

x

by

1

.

x

=

6

4

Cancel the common factor of

6

and

4

.

Tap for fewer steps...

Factor

2

out of

6

.

x

=

2

(

3

)

4

Cancel the common factors.

Tap for fewer steps...

Factor

2

out of

4

.

x

=

2

⋅

3

2

⋅

2

Cancel the common factor.

x

=

2

⋅

3

2

⋅

2

Rewrite the expression.

x

=

3

2

x-intercept(s) in point form.

x-intercept(s):

(

3

2

,

0

)

Find the y-intercept.

Tap for fewer steps...

To find the y-intercept(s), substitute in

0

for

x

and solve for

y

.

y

=

4

(

0

)

−

6

Solve the equation.

Tap for fewer steps...

Remove parentheses.

y

=

4

(

0

)

−

6

Simplify

4

(

0

)

−

6

.

Tap for fewer steps...

Multiply

4

by

0

.

y

=

0

−

6

Subtract

6

from

0

.

y

=

−

6

y-intercept(s) in point form.

y-intercept(s):

(

0

,

−

6

)

Create a table of the

x

and

y

values.

x

y

0

−

6

3

2

0

Graph the line using the slope and the y-intercept, or the points.

Slope:

4

y-intercept:

(

0

,

−

6

)

x

y

0

−

6

3

2

0

Answer:

c is the answer

DO MARK BRAINLIEST

Answer:

First, find the time when Jackie and her friend meet.

Using:

[tex]\sf s=ut+\dfrac12at^2[/tex]

where:

Jackie and her friend are not accelerating, so a = 0, which means the formula can be reduced to:

[tex]\sf s=ut[/tex]

Create equations

Jackie:  [tex]\sf s_1= 3t[/tex]

Friend:  [tex]\sf s_2 = 12t[/tex]

As the distance covered by Jackie and her friend at the time they meet equals 3 miles:

[tex]\sf s_1+s_2=3 \ miles[/tex]

[tex]\sf \implies 3t + 12t = 3[/tex]

[tex]\sf \implies 15t = 3[/tex]

[tex]\sf \implies t = 0.2 \ hr[/tex]

[tex]\sf \implies t=0.2 \times 60=12 \ mins[/tex]

Therefore, they meet 12 mins after they both start moving.

3 mph = 3 ÷ 60 = 0.05 miles per min

12 mph = 12 ÷ 60 = 0.2 miles per min

Therefore,

Jackie traveled:  0.05 x 12 = 0.6 miles

Her friend traveled: 0.2 x 12 = 2.4 miles

when they meet.

To find the speed Jackie's brother must walk to catch up with her at the same time she meets her friend, use s = 0.6 miles (as this is the distance Jackie walked) and t = 12 - 4 = 8 mins (since he left 4 mins after Jackie left):

[tex]\sf s=ut[/tex]

[tex]\sf \implies u = \dfrac{s}{t}[/tex]

[tex]\implies \sf u = \dfrac{0.6}{8}[/tex]

[tex]\implies \sf u = 0.075 \ miles \ per \ min[/tex]

[tex]\sf \implies u = 0.075 \times 60 = 4.5 \ mph[/tex]

So Jackie's brother needs to walk faster than 4.5 mph to catch up with Jackie before she meets her friend.

(If he walks at 4.5 mph, he will catch up to Jackie at the instant she meets her friend.  If he walks slower than 4.5 mph, he will not catch up with Jackie before she meets her friend).

Answer:

31.4

Step-by-step explanation:

diameter (d) = 10

circumference = (3.14)d

                        = (3.14)10 = 31.4

circumference = 31.4

Answer:

31/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rate of change can be found by using the difference quotient formula and in this case it would be -0.5

┍━━━━━»•» «•«━━━━━━»•» «•«━┑

[tex]f (x)= x^{2},(2, 3) -2[/tex]

The gneral rate of change can be found by using the difference quitieont formula. To find the average rate of change over an interval, enter a function with an interval: f (x)= x^{2},(2, 3) -2

┍━━━━━»•» «•«━━━━━━»•» «•«━┑

HOPE THIS HELPS

Answer:

50/33 is the answer that needs to written. Yes this is the simplest form.

Answer:

50/33

Here you go