3) Given:
Find the measure of arc WV.

Answer:

6) 15

7)5

8)120 degrees

9)60 degrees

10)9

Step-by-step explanation:

GHIJ is a parallelogram.

Opposite sides of a parallelogram are congruent.

3y - 1 = 2y + 1

3y - 2y = 1 + 1

y = 2

Opposite sides of a parallelogram are congruent.

4x + 3 = x + 12

4x - x = 12 - 3

3x = 9

x = 9/3

x = 3

6)GH = ?

GH = 4x + 3

GH = 4(3) + 3

= 12 + 3

= 15

therefore, GH = 15

7) HI = ?

HI = 2y + 1

= 2(2) + 1

= 4 +1

= 5

therefore, HI = 5

Opposite angles of a parallelogram are equal.

8) m(angle I) = 120 degrees...... (given)

therefore, measure of angle G = measure of angle I

therefore, m(angle G) = 120 degrees

Consecutive angles of a parallelogram are supplementary.

9) m(angle I) + m(angle J) = 180 degrees

120 + m (angle J) = 180

m(angle J) = 180 - 120

= 60 degrees.

The diagonals of a parallelogram bisect each other.

10) JK = 9 .........( given)

JK = HK

therefore, HK = 9

Answer:

6 trips in total..,.............

Answer:

5

Step-by-step explanation:

Hey there! I'll only explain you how to solve it and you'll have to find the answer yourself so you learn! <3 Anyhow, To simplify a complex fraction here are the steps.

(1) Convert mixed numbers to improper fractions.

(2) Reduce all fractions when possible.

(3) Find the least common denominator (LCD) of all fractions appearing within the complex fraction.

(4) Multiply both the numerator and the denominator of the complex fraction by the LCD.

(5) When possible reduce, simplify and convert to mixed numbers, any final fraction results.

Hope this helps! <3

Answer:

[tex]ED = 26[/tex]

[tex]CF = 13[/tex]

[tex]m \overset{\huge\frown}{ED} = 136[/tex]

[tex]m \overset{\huge\frown}{HD} = 68[/tex]

[tex]m \overset{\huge\frown}{CE} =88[/tex]

Step-by-step explanation:

Given

[tex]JG = JF[/tex]

[tex]GD = 13[/tex]

[tex]m \overset{\huge\frown}{CD} = 136[/tex]

See attachment for circle

Solving (a): Length ED

Line JD divides ED into two equal parts, EG and DG.

So:

[tex]ED = EG + GD[/tex]

[tex]ED = GD + GD[/tex]

[tex]ED = 13 + 13[/tex]

[tex]ED = 26[/tex]

Solving (b): Length CF

CF is a reflection of EG.

So:

[tex]CF = EG[/tex]

[tex]EG = GD = 13[/tex]

So:

[tex]CF = 13[/tex]

Solving (c): [tex]m \overset{\huge\frown}{ED}[/tex]

Since ED = CD;

Then:

[tex]m \overset{\huge\frown}{ED} = m \overset{\huge\frown}{CD}[/tex]

So:

[tex]m \overset{\huge\frown}{ED} = 136[/tex]

Solving (d): [tex]m \overset{\huge\frown}{HD}[/tex]

Line HF divides CD to 2 equal parts

So:

[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * m \overset{\huge\frown}{CD}[/tex]

[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * 136[/tex]

[tex]m \overset{\huge\frown}{HD} = 68[/tex]

Solving (e): [tex]m \overset{\huge\frown}{CE}[/tex]

[tex]m \overset{\huge\frown}{CE}[/tex] is a minor arc while [tex]m \overset{\huge\frown}{ED} = 136[/tex] + [tex]m \overset{\huge\frown}{CD} = 136[/tex] are the major arcs.

So:

[tex]m \overset{\huge\frown}{CE} + m \overset{\huge\frown}{ED} + m \overset{\huge\frown}{CD}= 360[/tex]

[tex]m \overset{\huge\frown}{CE} + 136+136= 360[/tex]

Collect like terms

[tex]m \overset{\huge\frown}{CE} =- 136-136+ 360[/tex]

[tex]m \overset{\huge\frown}{CE} =88[/tex]

Following are the calculated value " [tex]ED=26, CF=13\ , m \widehat{ED}=136^{\circ}\ , m \widehat{HD}=68^{\circ}\ , m \widehat{CE}=88^{\circ}\\\\[/tex]", and its complete calculation can be defined as follows:

[tex]\bold{JG=JF,GD=13,} \\\\ m \widehat{CD}=136^{\circ}\\\\[/tex]

When

[tex]m \widehat{CD}= m \widehat{ED}\\\\m \widehat{ED} = 136^{\circ}[/tex]

[tex]HJ \perp CD \\\\IJ \perp ED\\\\[/tex]

SO,

[tex]CF = FD \\\\EG=ED \\\\[/tex]

[tex]m \widehat{HD} = m \widehat{CH} = \frac{1}{2} m \widehat{CD}\\\\[/tex]

[tex]CF=13\\\\ ED = 13 \times 2 =26 \\\\ m \widehat{HD} = \frac{1}{2}\ m \widehat{CD} = 136^{\circ} \div 2 = 68^{\circ}\\\\m \widehat{CE} = 360^{\circ} -136^{\circ} - 136^{\circ} = 88^{\circ}\\\\[/tex]

Using the Vertical theorem and Theorem of the length of tangent to calculate the value:

[tex]ED=26\\\\CF=13\\\\m \widehat{ED}=136^{\circ}\\\\m \widehat{HD}=68^{\circ}\\\\m \widehat{CE}=88^{\circ}\\\\[/tex]

Note:

The given question is incomplete that's why we defined the question in the attached file and then solve it.

Find out more information about the arc of the circle here:

brainly.com/question/1577784

Answer:

the long one because of the friction and you can gain speed the second way

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

The reason why is his grade is 72% right and it increased to 80%.

Subtract 80 from 72 which equals 8.

Answer:

5h = $150

Step-by-step explanation:

Answer:

150 = 5h

Step-by-step explanation:

h = amount of hours

solve to find amount of hours she needs to work to earn $150

Answer:

The correct option is;

C. This advanced training seminar did not reduce response time, t(35) = -1.43, p > 0.05

Step-by-step explanation:

The given parameters are;

The population mean response time, μ = 9 minutes

The number of police officers in the sample, n = 36

The mean response time after the training, [tex]\overline x[/tex] = 8 minutes

The standard deviation of the response time after the training, s = 4.2 minutes

The level of significance, α = 0.05

The null hypothesis; μ ≥ 9

The alternative hypothesis; μ < 9

The test statistic for the t-test is [tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex], therefore, we get;

[tex]t=\dfrac{8-9 }{\dfrac{4.2}{\sqrt{36}}} \approx -1.42857142857[/tex]

The degrees of freedom, df = n - 1 = 36 - 1 = 35

The critical-t at 0.05 level of significance is critical-t = 1.69, p(t < -1.43) > 0.05

and, we fail to reject the null hypothesis, therefore, the advanced training did not reduce the response time

Answer:

‏‏‎ ‎

Step-by-step explanation:

#1 - they look cool

#2 - they can swim

#3 - they eat fish

Answer:

Y=3x-1

Step-by-step explanation:

Let x =1 then ,Y=(3×1)-1=2

Let x=2 then, Y=(3×2)-1=5

Let x=3 then Y=(3×3)-1=8

Let x=0 then Y=(3×0)-1=-1

Answer:

b

Step-by-step explanation:

the y axis is the axis going up and down, so the reflection would be on the other side of the axis.

Answer:

1) Part A

The function that models the situation is P = 8,300·(1 - 0.12)ⁿ

Part B

2626 people

Part C

1575 people

2) Part A

The function that models the situation is A = 342.000·(1 - 0.06)ⁿ

Part B

The value of the hose in 2025 is approximately $208,472.6

Part C

The value of the hose in 2032 is approximately $135,189.8

Step-by-step explanation:

1) Part A

The given parameters are;

Martianville population in 2012, P₀ = 8,300 people

The percentage annual decrease in the population, r = -12% = -0.12

The formula for the growth of a population is presented as follows;

P = P₀·(1 + r)ⁿ

Where;

P = The population amount at a later time

P₀ = The initial amount of the population

r = The rate of the population growth

n = The number of years

Therefore;

The function that models the situation is P = 8,300·(1 - 0.12)ⁿ

Part B

The population that will attend Martianville in 9 years is given as follows;

P₉ = 8,300 × (1 + (-0.12))⁹ = 8,300 × (1 - 0.12)⁹ ≈ 2626.77

Therefore, by rounding down to the next whole person, the population that will attend Martianville in 9 years, P₉ = 2626 people

Part C

The population that will attend Martianville in 13 years is given as follows;

P₁₃ = 8,300 × (1 - 0.12)¹³ ≈ 1575 people

2) Part A

The price at which the house was bought, A₀ = $342,000

The rate of decrease of the value of the house = 6% therefore, r = -0.06

The function that models the situation is presented as follows;

A = A₀·(1 + r)ⁿ

Therefore;

The function that models the situation is A = 342.000·(1 - 0.06)ⁿ

Part B

The number of years between 2025 and 2017 = 2025 - 2017 = 8 years

The value of the hose in 2025, A₂₀₂₅ = 342.000·(1 - 0.06)⁸ = 208,472.576981

The value of the hose in 2025, A₂₀₂₅ ≈ $208,472.6

Part C

The number of years between 2032 and 2017 = 2032 - 2017 = 15 years

The value of the hose in 2032, A₂₀₃₂ = 342.000·(1 - 0.06)¹⁵ = 135,189.795176

The value of the hose in 2025, A₂₀₃₂ ≈ $135,189.8

Answer:

[tex]\displaystyle d = 8\sqrt{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-4, -4)

Point (4, 4)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

4,52

Step-by-step explanation:

32+5x=y

pls let me know is it was right

if it was pls give brainlest

Answer:

I think the truck would be 210 inches long

Answer:

t = 9

Step-by-step explanation:

t/3 = 12 - 9

t = 3 * 3

t = 9

Answer:

t=9

Step-by-step explanation:

t/3+9=12

t/3+9-9=12-9

t/3= 3

3xt/3 = 3x3

t=9

Answer:

49.65$

Step-by-step explanation:

(20.40 x 2) + 8.85 = 49.65 $

Answer:

y= 4(x+6)(x-3)

Step-by-step explanation:

same as before :)

Answer:

0.00909090909

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

p-2>6

add 2 both sides

p >8

p can only be greater than 8, and not equal to it, so the circle is open

Answer: 2b+4=-8 the answer is -6

Step-by-step explanation: I got this because you subtract 4 from both side which subtract 4 from 4 and subtract -8 from -4 you add those two up because they are both negative which you got -12 so your equation right now is 2b=-12 after that you divide 2 from 2b from both side and your answer is -6. I hope I helped with that one problem

Answer:

Step-by-step explanation:

6) Number of sides = n = 7

Sum of all the sides of the mentioned polygon = (n - 2)*180 = (7-2)*180 = 5 *180

                            = 900

x + 125 + 119 + 117 +145+133 +140 = 900

x + 779 = 900

      x = 900 - 779

      x = 121

7) Number of sides = n = 5

Sum of all the sides of the mentioned polygon = (n - 2)*180

     = 3 *180 = 540

90 + 9x - 6 + 3x +23 + 95 + 7x- 4 = 540

90 - 6 + 23 + 95 - 4 + 9x + 3x + 7x = 540

198 + 19x = 540

         19x = 540 - 198

        19x = 342

            x = 342/19

          x = 18

8) Number of sides = n = 8

Sum of all the sides of the mentioned polygon = (n - 2)*180

    = 6*180

    = 1080

This is a regular polygon (All sides are equal). so all the angles are equal.

One angle = 1080 ÷ 8 = 135

16x +23 = 135

       16x = 135 - 23

      16x = 112

         x = 112/16

     x  = 7

Step-by-step explanation:

m = y2-y1/X2-X1

slope intercept equation is: y=Mx+b

The slope is based on the formula m and from there pick any points then do the forumla m to find the slope. Anything that have 0 as the X is b which is the y intercept.

Your answer would be

Slope: 2

y-intercept: 7

Answer: y=2x+7

Answer:

es la a. 5+8 es esa amigo la respuesta

Answer:

C=25 (vertically opposite angle)

b=150 (linear pair)

d=150(vertically opposite angle)

Step-by-step explanation:

pls mark BRAINLIEST

Answer:

150

Step-by-step explanation:

Answer:

=425832

Step-by-step explanation:

i hope this helps :)

Answer:

425832

Step-by-step explanation:

I was trying as well gg