Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge, and be neat. When you are finished, enter the solution set in the box below and turn in your graph paper to your teacher.

Answer:

X will be equal to 36 degrees.

Step-by-step explanation:

A full angle of a pentagon is 108 degrees. A line connecting from a base corner to on the opposite side splits the pentagon into a rhombus and a triangle. In the triangle, two corners will be the same side, while the largest corner will be 108 degrees.

180-108 = 72

72 / 2 = 36

Therefore, x is equal to 36 degrees.

Hopefully this helps :)

Answer:

The above statement is written as

[tex] \frac{22}{100} \times b[/tex]

Hope this helps you

Answer:

Mean = 25

Median = 23

Mode = 33

Step-by-step Explanation:

First, let's write out all the values represented in the stem and leaf plot. We have the following data sets as follows:

15, 18, 18, 19,

22, 23, 25,

31, 33, 33, 33

=>Mean = sum of all values ÷ no of values

= (15+18+18+19+22+23+25+31+33,+33+33)/11

= 270/11 ≈ 25 (to the nearest whole number)

=>Median is the middle value when the data set is ordered. Since we have 11 values, our median value would be the 6th value in our data set = 23

15, 18, 18, 19, 22, |23|, 25, 31, 33, 33, 33

=>Mode is the most occured value = 33

The radius goes from the center to the edge of the circle.

The diameter is twice as long as the radius; it is a segment going through the center with both endpoints on the circle

The circumference is the distance around the circle. Think of it as the perimeter of the circle.

Answer:

4

Step-by-step explanation:

First we need to find the difference by subtracting. 49-13 = 36

Then we fine one-ninth of 36. We do this by dividing 36 by 9

36 divided by 9 is 4.

Answer:

A. I and II, only

Step-by-step explanation:

y = x

Switch variables.

x = y

y = 1/x

Switch variables.

x = 1/y

1/x = y

y = x²

Switch variables.

x = y²

±√x = y

y = x³

Switch variables.

x = y³

∛x = y

Answer:

d

Step-by-step explanation:

double check your answer

Answer:

  C.  Add a radical term to both sides and square both sides twice

Step-by-step explanation:

We suppose you want to solve ...

  [tex]\sqrt{b+20}-\sqrt{d}=5\\\\\sqrt{b+20}=5+\sqrt{d}\qquad\text{add a radical term}\\\\b+20=25+10\sqrt{d}+d\qquad\text{square both sides once}\\\\b-d-5=10\sqrt{d}\qquad\text{subtract right-side non-radical terms}\\\\(b-d-5)^2=100d\qquad\text{square both sides a second time}[/tex]

__

We note that the solution summary (choice C) doesn't mention the fact that you need to separate the remaining radical term from the others after the first squaring.

The result is a quadratic function that produces extraneous solutions. This is shown in the attached graph. The red function is the original relation between b (x) and d (y). The blue function includes the red function and another branch that is all extraneous solutions.

Answer:

8 questions.

Step-by-step explanation:

100 - 2x = 84

-2x + 100 = 84

-x + 50 = 42

x - 50 = -42

x = 8

Trevor answered 8 questions incorrectly.

Hope this helps!

Answer:

8

8Step-by-step explanation:

100-2x=84

subtract 84 from both sides

16-2x=0

add 2x to both sides

16=2x

divide both by 2 to get x

x=8

hope this helped

Answer:

Step-by-step explanation:

The equation of a line is expressed as y = mx+c where m is the slope and c is the intercept.

m = Δy/Δx = y₂-y₁/x₂-x₁

Given two points (-1, -4) and (1, 6) with x₁= -1, x₂ = 1, y₁  = -4 and y₂ = 6

m = 6-(-1)/1-(-1)

m = 7/2

To get  c, we will substoute the slope and any of the point given into the equation of a line as shown;

Using tyhe point (1, 6) and m = 7/2

6 = 7/2(1)+c

6 = 7/2 + c

c = 6-7/2

c = 5/2

The equation of the line will be y = 7/2 x + 5/2

Answer:

V = [tex]\frac{3.14r^3}{12}[/tex]

Step-by-step explanation:

Volume of Cone = [tex]\pi r^2 \frac{h}{3}[/tex]

But, Given that radius of cone = r/2 of the cylinder

And,

Height of cone = Radius of cylinder i.e. h = r

Putting this in the above formula.

=> V = [tex]\pi (\frac{r}{2} )^2 (\frac{r}{3})[/tex]

=> V = [tex](3.14)(\frac{r^2}{4} )(\frac{r}{3} )[/tex]

=> V = [tex]\frac{3.14r^3}{12}[/tex]

Answer:

(1/12) Pi r^3     option C on plato

Step-by-step explanation:

r = radius of the cylinder

V = (1/3)Pi c^2 h for a cone.

and c = r/2 and h = u

so Volume of the cone is (1/12) Pi r^3

Answer:

-4

Step-by-step explanation:

(-2)^2 + (-2)^3

this is right if the 2 and 3 are exponents

Answer:

-4

Step-by-step explanation:

Substitute the value of x:

-8+4 = -4

Plz mark me brainliest!!

Given that,

Speed of first bicycle = 9 mph

Speed of second bicycle = 5 mph

Suppose the length of the circle 24 miles.

We need to find the relative velocity

Using formula of relative velocity

[tex]v=v_{1}-v_{2}[/tex]

Put the value into the formula

[tex]v=9-5[/tex]

[tex]v=4\ mph[/tex]

We need to calculate the time

Using formula of time

[tex]t=\dfrac{d}{v}[/tex]

[tex]t=\dfrac{24}{4}[/tex]

[tex]t=6\ hr[/tex]

We need to calculate the distance of the points where the two bicycles meet

Using formula of distance

For first bicycles,

[tex]d=9\times6[/tex]

[tex]d=54\ miles[/tex]

For second bicycles,

[tex]d'=5\times6[/tex]

[tex]d'=30\ miles[/tex]

Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.

Answer:

Brainliest please

Step-by-step explanation:

15 women= 12days

find 10 days,

12÷10×15= 18women in ten days

how many more women, subtract 18 women and 15 women

=3 is the answer

Answer:

41.67hrs

Step-by-step explanation:

if the snail moves 0.12km in 1hr

the snail will move 5km in Xhrs

0.12 × X = 5 × 1

0.12X= 5

X= 5/0.12 = 41.67hrs

Answer:

41.76 hours

Step-by-step explanation:

I feel bad so i did the math. Good Luck! hope you get it right!

Answer:

  no

Step-by-step explanation:

The product of -2 and 1 is -2, which is not less than -2. Blaine's conjecture fails if the positive integer is 1.

Step-by-step explanation:

x+y=12-----1

xt=32-----2

from 1,

x=12-y-----3

sub 3 into 2

(12-y) y=32

12y-y²=32

y²-12y+32=0

(y-8)(y-4)=0"factorise"

y=8,y=4

sub y =8 into 1,

x+8=12

x=4

sub y =4 into 1

x+4=12

x=8

conclusion,

when x=4,then y=8

when x=8,theb y =4

Answer:

x = 4, y = 8 or x = 8, y = 4

Step-by-step explanation:

Given the 2 equations

x + y = 12 → (1)

xy = 32 → (2)

From 2

y = [tex]\frac{32}{x}[/tex]

Substitute y = [tex]\frac{32}{x}[/tex] into (1)

x + [tex]\frac{32}{x}[/tex] = 12 ( multiply through by x )

x² + 32 = 12x ( subtract 12x from both sides )

x² - 12x + 32 = 0 ← in standard form

(x - 4)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 8 = 0 ⇒ x = 8

Substitute these values into (1) for corresponding values of y

x = 4  : 4 + y = 12 ⇒ y = 8

x = 8 : 8 + 4 = 12 ⇒ y = 4

Answer:

the answer is C

Step-by-step explanation:

it it can be calculated by using simple quadratic formula

Answer:

y = 4/5x

Step-by-step explanation:

We have a slope of 4/5 and a point of (0,0)

Using the slope intercept form of a line

y = mx+b

y = 4/5 x +b

Substituting the point into the equation

0 = -1/2(0) +b

0 = 0+b

0 = b

The equation of the line is

y = 4/5x+0

Answer:

32

Step-by-step explanation:

Lets work it out.

First we combine the two equations to get 5x-10. That is equal to 70 so we get out x = 16 we put that into the equation 3x-10 and get 32

Answer:

The area of the quadrilateral B-H-G-E is 7

Step-by-step explanation:

The area of the parallelogram = 60  

It can be shown that ΔG-D-F = 3/10 × Area of the parallelogram S = 3/10×S

Because the diagonal B-D shares A-F into the ratio 1:2, the ΔH-D-A = 2/3×ΔD-B_A  where ΔD-B_A = 1/2·S, therefore, ΔD-B_A = 2/3×1/2×S = 1/3×S

ΔB-F-H is similar to ΔD-B_A scaled to 1/2,

Therefore;

The area of ΔB-F-H = 1/4×Area of ΔD-B_A = 1/4×1/3×S = 1/12×S,

ΔF-C-D = 1/4×S

ΔE-A-D = 1/4×S

The area of the quadrilateral B_H_G_E found as follows;

Area B_H_G_E  = S - (ΔF-C-D + ΔG-D-F +ΔE-A-D +ΔB-F-H)

Area B_H_G_E  = S - (1/4×S + 1/10×S +1/4×S +1/12×S) = S - 53/60×S = 7/60×S

Whereby we are given that the area, S of the parallelogram AB-CD = 60 we have;

Area B_H G_E  = 7/60×60 = 7

Answer:

Only the y-coordinate changes by 4 so the true statements are that "The transformation rule is (x,y) →(x+0.y+4)" and that "The transformation is a vertical translation."

the answer is 2. see attached for step-by-step instructions. hope that helps!

Answer:

A

Step-by-step explanation:

A

Answer:

an altitude

Step-by-step explanation:

its is correct

Answer:

47.5

Step-by-step explanation:

just took the test

The measure of angle EFD is 47.5°

An inscribed angle is an angle whose vertex lies on the circumference of a circle while its two sides are chords of the same circle. The arc formed by the inscribed angle is called the intercepted arc.

Given is a circle C, with an arc ED measuring 95°, we need to find the measure of the inscribed angle ∠EFD,

So,

we know that the arc formed by the central angle is equal to is measure.

∴ arc ED = ∠ECD

∠ECD = 95°

Now,

According to the central angle theorem the angle subtended by an arc length at the center of the circle is double the angle subtended at any point on the circumference of the circle.

therefore,

∠ECD/2 = ∠EFD

∠EFD = 95/2

∠EFD = 47.5°

Hence the measure of angle EFD is 47.5°

Learn more about inscribed angle click;

https://brainly.com/question/16475520

#SPJ5

Replace f with 190, replace P with 4148 and solve for  s:

4148 = 1.85s + 4.2(190)

Simplify:

4148 = 1.85 + 798

Subtract 798 from both sides:

3350 = 1.85s

Divide both sides by 1.85:

s = 1,810.81

Rounded to nearest square foot = 1811 square feet.

Answer:

12 adults and 4 kids were there that the fair

Step-by-step explanation:

Hey there! :)

Answer:

2nd choice.

Step-by-step explanation:

Given:

630 = 42f.

Divide both sides by 42 to solve for f:

630/42 = 42f/42

f = $15.

This equation is not an inequality, so a line would not be graphed on the number-line. The proper way to show a single solution would be with a point. Therefore:

The second choice is correct. The number line has a single point at f = 15.

Answer:

No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.

Step-by-step explanation:

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject.

   90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite.

so, the percent of students who love social studies is given by:

28/90 x 100=31.11%

   He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies.

No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.

Answer:

C on EDG

Step-by-step explanation:

Answer:

The length of AC = 4 and the length of A'C' = 1 so the scale factor is 1/4.

Answer:

254 cm²

Step-by-step explanation:

Calculate first  the total area

A = 30*20 = 600 cm²

Then calculate the area of the cercle

A= 10.5²*π = 346.36≈346 cm²

Then substract the area of the circle from the total one:

600-346= 254 cm²