If P is the incenter of JKL, find m Please show the work, that would be really helpful, thank you!

Answer:

Angle 1: 145 degrees

Angle 2: 35 degrees

Angle 3: 145 degrees

Angle 4: 35 degrees

Angle 5: 145 degrees

Angle 6: 35 degrees

Angle 7: 145 degrees

Angle 8: 35 degrees

Step-by-step explanation:

1) See above.

2) Angles 4 and 2 are equal, because they are vertical angles (share a vertex) where two parallel lines are cut by a transversal (line c?)

Angles 1 and 2 equal 180 degrees when added together, so 180 - 35 = 145, which is the measure of angle 1.

Angles 1 and 3 are also vertical, and therefore equal.

When two or more lines are cut by a transversal, the angles that are in the same relative position are corresponding angles.

When the lines are parallel, the corresponding angles are congruent.

Congruent angles are equal. So Angle 1 = Angle 5 and Angle 2 = Angle 6. Then the rules for vertical angles apply again, giving you the measures for angles 7 and 8.

3) 1 and 3 are vertical, 2 and 4 are vertical, 5 and 7 are vertical, 6 and 8 are vertical.

1 and 5 are corresponding, 2 and 6 are corresponding, 3 and 7 are corresponding, 4 and 8 are corresponding.

4) 1 and 2, 3 and 4, 5 and 6, 7 and 8 are all supplementary pairs.

1 and 4, 2 and 3, 5 and 8, and 6 and 7 are supplementary pairs.

1 and 3, 2 and 4, 5 and 7, 6 and 8 are equal pairs because they are vertical.

1 and 5, 2 and 6, 3 and 7, 4 and 8 are equal pairs because they are corresponding.

Hopefully this covers all they wanted.

Answer:

3/4 mile

Step-by-step explanation:

[tex]A = l *w\\\frac{1}{2} = \frac{2}{3} * w\\w = \frac{3}{2} * \frac{1}{2}\\w = 3/4 mile[/tex]

Answer:

x = 5

Step-by-step explanation:

The difference between consecutive terms will be equal , then

a₂ - a₁ = a₃ - a₂ , that is

x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides

x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides

- 2x + 11 = x - 4 ( subtract x from both sides )

- 3x + 11 = - 4 ( subtract 11 from both sides )

- 3x = - 15 ( divide both sides by - 3 )

x = 5

Answer:

x = 5

Step-by-step explanation:

Each new term is 1 greater than the previous term.  Therefore:

x + 9 = (3x - 2) + 1                   Equivalent to x + 9 = 3x - 2 + 1, or:

                                                                       9 + 2 - 1 = 2x, or 2x = 10

                                                Thus, x = 5

Check by substituting 5 for x as indicated:

3x - 2 becomes 13 (which means the next term must be 14)

x + 9 becomes 14, and

2x + 5 becomes 15

and these consecutive sequence terms are {13, 14, 15}

16 hours 6 minutes

See the image above

Answer:

yes it is correct

Step-by-step explanation:

option 1  

Answer:

Your answer is correct! 9:1

Step-by-step explanation:

Old Area = side x side

? = 2 x 2

     4cm

New Area-

Step 1: Triple the sides

2 x 3 = ?

    6cm

Step 2: Find the area

6 x 6 = ?

  36cm

The ratio of the new area to the old area is:

                     36 : 4

But wait! You can simply it!

36 / 4 = 9

4 / 4 = 1

So the new ratio would be:

                     9 : 1

Hope this helps!

Good Luck!

:)

Answer:

[tex]V=36.63cm^3[/tex]

Step-by-step explanation:

Volume formula for rectangular prism is [tex]V=lwh[/tex]

Volume = length * width * height

[tex]V=4.5*2.2*3.7[/tex]

[tex]V=36.63[/tex]

Hope this helps

Answer:

option C

Step-by-step explanation:

2x^2 + 5x + 3

using middle term break method

we need two numbers which gives 6 when multiplied and 5 when added

2x^2 + (3 + 2)x + 3

2x^2 + 3x + 2x + 3

x(2x + 3) + 1(2x + 3)

(2x + 3)(x + 1)

Answer:

about 3 years

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^t

Given

Amount A == $2400

Principal P = $1200

rate = 24.77% = 0.2477

Substitute the given values

2400 = 1200(1+0.2477)^t

2400/1200 = (1+0.2477)^t

2 = (1+0.2477)^t

ln 2 = tln1.2477

t = ln2/ln1.2477

t = 3.13

Hence it will take about 3 years  until Brad owes the  credit card company $2,400

Answer:

the gas cost for the entire trip is $77

Step-by-step explanation:

Given that

For the first 300 miles, it spend $12.50 on gas

We need to find out the gas cost for the overall trip at the time when it drives 960 miles

So, it should be

= 960 miles ÷ $12.50

= $76.80

= $77

Hence, the gas cost for the entire trip is $77

Answer:

32

Step-by-step explanation:

d6 plus four nine its wrong "+_)

Answer:

-15

Step-by-step explanation:

Step 1: Multiply 3 by both sides

3(2/3x)=3(-10)

Step 2: Simplify

2x=-30

Step 3: Divide both sides by 2

2x/2=-30/2

Step 4: Simplify

x=-15

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

Step-by-step explanation:

(3). 1 g ≈ 0.035274 oz

675 g ≈ 23.8 oz

(4). 1 cup ≈ 236.588 ml

[tex]\frac{1}{3}[/tex] cup ≈ 78.86 ml

(5). 1 L ≈ 0.22 gal.

150 L ≈ 33.0 gal.

(6). 1 cm ≈ 0.3937 inch

1 cm² ≈ 0.155 inch²

2.5 cm² ≈ 0.3875 inch²

Answer:

x + 2

Step-by-step explanation: I believe that can help you!

Answer:

$190.00

Step-by-step explanation:

285÷30=9.5

9.5×20=190

Hope this helps! :)

Answer:

x = 4 - 5/2 y

Step-by-step explanation:

2x + 5y = 8.

Subtract 5x from each side

2x + 5y -5y = 8-5y

2x = 8 -5y

Divide each side by 2

2x/2 = (8-5y)/2

x = 4 - 5/2 y

Answer:

x=[tex]\frac{-5y}{2}[/tex]+4

Step-by-step explanation:

Hi there!

We're given the equation 2x+5y=8 and we want to solve it for x

as we don't know the value of y, x won't actually be a number (it'll be an expression instead). However, we will solve this as if it was a regular equation by isolating x onto one side

here's the given equation

2x+5y=8

start by subtracting 5y from both sides

2x=-5y+8

divide both sides by 2

x=[tex]\frac{-5y}{2}[/tex]+4

Hope this helps!

Answer:

Step-by-step explanation:

Line segment          Point         Point         Distance    Proof

AB                           A(-3 , 4)      B(2,4)          5                2 - (-3) = 2 +3 = 5

BC                          B(2,4)          C(5,4)          3                 5 - 2 = 3

CD                          C(5,4)          D(5,-1)          5              4 -(-1) = 4 +1 = 5

DE                           D(5 , -1)       E(5,-3)          2             -1 -(-3) = -1 +3 = 2

EF                           E(5, -3)        F(-5,-3)         10            5 - (-5) = 5+5 = 10

Answer:

[tex]P(none) = 0.0859[/tex]

Step-by-step explanation:

Given

[tex]p =20\%[/tex] --- proportion of household that tuned to September

[tex]n =11[/tex] --- selected households

Required

[tex]P(none)[/tex]

Using the complement rule, the proportion that did not tune (q) is:

[tex]q= 1 - p[/tex]

[tex]q= 1 - 20\%[/tex]

[tex]q= 1 - 0.20[/tex]

[tex]q= 0.80[/tex]

So, the probability that none of the 11 tuned in is:

[tex]P(none) = q^{11}[/tex]

[tex]P(none) = 0.80^{11}[/tex]

[tex]P(none) = 0.0859[/tex]

Answer:

option A

Step-by-step explanation:

22 : 15 + 10hours = 8 : 15

                              8 : 15 + 35 minutes = 8 : 50

Therefore the difference = 10 hours 35 minutes

Answer:

$190

Step-by-step explanation:

My knowledge!

Hope it helps!

Answer:

190

Step-by-step explanation:

Step 1 find total amount of money she has saved

To do this simply multiply the amount of money she saves per week ( 4.75 ) by the number of weeks ( 8 )

Hence money she has saved = 8 * 4.75 = 35

Step 2 subtract cost of camera by amount of money she has saved

228 - 38 = 190

So we can conclude that she needs 190 more dollars to purchase the camera.

Answer:

684 in^2

Step-by-step explanation:

SA = 2 ( l*w + l*h+ w*h)

SA = 2( 6*15 + 6*12+ 15*12)

     = 2( 90+72+180)

    = 2(342)

    = 684 in^2

Answer:

Answer:

1. B 130 2/3ft^3

2. B 226 in^3

3. B 33 cm^3

4. A 4 m

5. D 15m

Step-by-step explanation:

I got a 100! For connexus students, hope this helps!!

Answer:

D: (x^2 + 3x + 9) (x^2 - 3x + 9)

-

G: (x^2 + 3x + 5) (x^2 - 3x + 5)

Answer:

[tex]d) \: \: ( {x}^{2} + 3x + 9)( {x}^{2} - 3x + 9)[/tex]

[tex]g) \: \: ( {x}^{2} + 2x + 5)( {x}^{2} - 2x + 5)[/tex]

Step-by-step explanation:

Hope it is helpful....

Answer:

x = 2

Step-by-step explanation:

AE is equal to the sum of AB and BE because of segment addition postulate, we can substitute to get AE = 11 + x + 1 = x + 12

DE is equal to the sum of DC and CE because of segment addition postulate, we can substitute to get DE = 1 + x + 4 = x + 5

To solve the problem, we can use power of a point, more specifically exterior secants products scenario. In this case, we can get the equation:

AE * BE = DE * CE

Now, we can substitute and solve:

(x + 12)(x + 1) = (x + 5)(x + 4)

x^2 + 13x + 12 = x^2 + 9x + 20

13x + 12 = 9x + 20

4x + 12 = 20

4x = 8

x = 2

Time = distance / speed

Time = 450 miles / 65 miles per hour

Time = 6.9 hours

Answer:

D = 3 √5 units

Step-by-step explanation:

Here, we want to find the distance between these two points

to get this, we use the distance formula as follows

D = √(x2-x1)^2 + (y2-y1)^2

so we have for (3,-6) and (9,-3)

D = √(3-9)^2 + (-6 + 3)^2

D = √(36 + 9)

D = √(45)

D = 3√5 units

Answer:

x=-2;y=-7

Step-by-step explanation:

y=5x+3

y=3x-1

3x-1=5x+3

-2x=4

x=-2 y=5x+3 y=5×(-2)+3 y=-7

Answer:

[tex]V=2080m^3[/tex]

Step-by-step explanation:

The volume formula for triangular prism is  [tex]V=\frac{1}{2}bhl[/tex]

[tex]V=\frac{1}{2}(26)(20)(8)[/tex]

[tex]V=\frac{1}{2}(4160)[/tex]

[tex]V=2080[/tex]

Hope this helps

Answer:

The answer is 2080m^3

Step-by-step explanation:

The formula for volume of a prism is 1/2 x length x width x height

Hope it helps :)

Answer:

QR = 65.4 m

Step-by-step explanation:

a. Apply Law of Cosines to find QR:

p² = q² + r² - 2qr × Cos P

p = QR = ?

q = PR = 150 m

r = PQ = 120 m

P = 25°

Plug in the values

p² = 150² + 120² - (2)(150)(120) × Cos(25°)

p² = 22,500 + 14,400 - 36,000 × 0.9063

p² = 36,900 - 32,626.8

p² = 4,273.2

p = √4,273.2

p ≈ 65.4 m (nearest tenth)

QR = 65.4 m

Step-by-step explanation:

−2(4y+1)=−8y−2

4y+1=4y+1

infinite solutions

Answer:

Infinitely many solutions

Step-by-step explanation:

-2(4y+1)=−8y−2

=> -2(4y)-2(1)= -8y-2

=> -8y-2=-8y-2

=> Infinitely many solutions as x from both sides get cancelled