Line segment AB is congruent to line segment CD.
A.AB overbar similar to CD overbar
B.AB overbar congruent to CD overbar
C. AB overbar equal to CD overbar
D. AB overbar element to CD overbar

Mr. Brown should increase the monthly rent by $2.25 to cover the additional annual property tax caused by the tax rate increase from $25 to $28 per $1000 assessed valuation on a $9000 house.

The student is asking for a calculation of how much the monthly rent of a house should be increased to cover the additional property tax imposed when the tax rate was increased from $25 to $28 per $1000 assessed valuation. The house is valued at $9000.

First, we calculate the initial annual tax by multiplying the assessed valuation by the initial tax rate:

Initial annual tax = $9000 / 1000 times $25 = $225

Then we calculate the new annual tax with the increased rate:

New annual tax = $9000 / 1000 times $28 = $252

The increase in the annual tax amount is:

Increased tax amount = New annual tax - Initial annual tax = $252 - $225 = $27

To find the monthly increase, we divide by 12:

Monthly rent increase = Increased tax amount / 12 = $27 / 12 = $2.25

Therefore, the monthly rent should be raised by $2.25 to absorb the increase in that year's taxes.

Equation, because Addison's candy is equal to 15 less than Ronny's candy.

i hope this help you

Answer:

Equation, because Addison's candy is equal to 15 less than Ronny's candy.

Step-by-step explanation:

estimating wage to nearest dollar would be 22 x 40

 would be 22 x 4 = 88 so 880 per week

estimating 50 weeks

88 x 5 = 440 so 44,000 per year

 exact would be 21.50 x 40 = 860 per week

860 x 52 = 44,720 per year

42/3 = 14

14-1=13

14+1= 15

13+14+15 = 42

 3 numbers = 13, 14 & 15

The age of Mikhail's is 24 years old.

To find Mikhail's age, let's denote Mikhail's age as ( x ) and Gabrielle's age as ( 2x ) (since Gabrielle is twice as old as Mikhail). We know the sum of their ages is 72. We can set up an equation to represent this information:

[tex]\[ x + 2x = 72 \][/tex]

Step 1: Combine like terms

Combine the (x) terms on the left side of the equation:

[tex]\[ x + 2x = 3x \][/tex]

So, the equation simplifies to:

[tex]\[ 3x = 72 \][/tex]

Step 2: Solve for ( x )

To find the value of ( x ), divide both sides of the equation by 3:

[tex]\[ x = \frac{72}{3} \][/tex]

[tex]\[ x = 24 \][/tex]

Therefore, Mikhail's age is 24 years old.

Mikhail's age is 24. Gabrielle is 48.

Let's solve it step by step:

1. Let's represent Gabrielle's age as [tex]\( G \)[/tex] and Mikhail's age as [tex]\( M \)[/tex].

2. According to the given information, Gabrielle's age is two times Mikhail's age, so we can express this as an equation:

  [tex]\[ G = 2M \][/tex]

3. We also know that the sum of their ages is 72, which can be expressed as another equation:

  [tex]\[ G + M = 72 \][/tex]

4. Now, we have a system of two equations:

  [tex]\[ G = 2M \][/tex]

  [tex]\[ G + M = 72 \][/tex]

5. Substitute the value of [tex]\( G \)[/tex] from the first equation into the second equation:

  [tex]\[ 2M + M = 72 \][/tex]

  [tex]\[ 3M = 72 \][/tex]

6. Divide both sides by 3 to solve for [tex]\( M \)[/tex]:

  [tex]\[ M = \frac{72}{3} \][/tex]

  [tex]\[ M = 24 \][/tex]

7. So, Mikhail's age is 24 years.

Now, to verify, we can find Gabrielle's age using the first equation:

[tex]\[ G = 2M \][/tex]

[tex]\[ G = 2(24) \][/tex]

[tex]\[ G = 48 \][/tex]

Gabrielle's age is indeed 48 years.

So, to recap, Mikhail's age is 24 years.

The slope of a line perpendicular to another line has a slope which is the negative reciprocal of that line or:

m1 = -1/m2

First, we convert the given equation into slope-intercept form of a line: y = mx + b

8x + 15y = 12

15y = -8x + 12

y = (-8/15) x + 0.8

m1 = -8 / 15

Therefore the slope of the perpendicular line is:

m2 = 15 / 8

Since the perpendicular line crosses the point (11, 17), therefore using the slope formula:

m = (y2 – y1) / (x2 – x1)

15 / 8 = (y2 – 17) / (x2 – 11)

1.875 (x2 – 11) = y2 – 17

1.875 x2 – 20.625 = y2 – 17

y2 = 1.875 x2 – 3.625

y = (15/8) x – 3.625

multiplying both sides by 8:

8y = 15x – 29

rewriting in standard form:

15x – 8y = 29                (ANSWER)

Answer:

Option D is correct.

Step-by-step explanation:

Given Equation of plane is 7x + 2y + 3z = 42

We need to find ordered triplet where plane cuts the x-axis.

To find point of x-axis when plane cuts it. we put other coordinates equal to 0.

So, put y = 0 and z = 0 in equation plance to get x-coordinate of the required ordered triplet.

7x + 2 × 0 + 3 × 0 = 42

7x + 0 + 0 = 42

7x = 42

[tex]x=\frac{42}{7}[/tex]

x = 6

⇒ ordered triplet = ( 6 , 0 , 0 )

Therefore, Option D is correct.

Answer:

Total length of the biking trail is 14 units

Step-by-step explanation:

The trail starts from point P(-3, 2) and touches points Q(1, 2), R(1, -1) and S(8, -1).

We have to calculate the total length of the biking trail.

Since distance between two points are represented by

d = [tex]\sqrt{(x-x')^{2}+(y-y')^{2}}[/tex]

So length of PQ = [tex]\sqrt{(1+3)^{2}+(2-2)^{2}}[/tex]

PQ = [tex]\sqrt{(4)^{2}}[/tex]

PQ = 4 units

QR = [tex]\sqrt{(1-1)^{2}+(2+1)^{2}}[/tex]

QR = [tex]\sqrt{(3)^{2}}[/tex]

QR = 3 units

RS = [tex]\sqrt{(8-1)^{2}+(-1+1)^{2}}[/tex]

RS = [tex]\sqrt{(7)^{2}}[/tex]

RS = 7 units

Now total biking trail = PQ + QR + RS

= 4 + 3 + 7

= 14 units

Total length of the biking trail is 14 units

Answer:

The answer is 14 units

Step-by-step explanation:

To guarantee two pairs, a player must pick at least 14 cards from a deck of 52 playing cards without replacement. For three of a kind, a minimum of 16 cards is required. This is an example of sampling without replacement, where each selection affects subsequent draws.

To determine the minimum number of cards one must pick from a standard deck of 52 playing cards to guarantee getting two pairs, consider the worst-case scenario where you pick one card of each rank before getting any pair. Since there are 13 different ranks, picking 13 single cards wouldn't guarantee a pair, but the 14th card will definitely match one of the previously drawn ranks, thus forming a pair. To ensure two pairs, you could go through another 13 cards without getting a match to your first pair, so the 15th card would be the second pair. Therefore, you must pick at least 14 cards to guarantee two pairs.

For three of a kind, you pick sequentially from the different ranks. After picking one card of each of the 13 ranks, the 14th card will form a pair, and the 15th card could potentially be of a new rank. However, the 16th card drawn must either create a pair with another rank or a 'three of a kind' with the rank that already has two. Thus, the minimum number of cards one must pick to guarantee a three of a kind is 16.

In sampling without replacement, drawn cards are not returned to the deck, making each draw dependent on the previous ones. This contrasts with sampling with replacement, where each draw is independent since cards are returned to the deck and reshuffled after each pick.

4 * 1.5 = 6 cm <== Because this is the answer.

since cone B is bigger it needs to weigh more than 20 lbs.

 5/13 = 20/X

x=52 LBS

Leah should stretch for 25 minutes during a 50-minute dance class, as she stretches for 5 minutes for every 10 minutes of dancing.

Leah stretches for 5 minutes for every 10 minutes of dancing. To calculate how much time she should be stretching during a 50-minute dance class, we need to apply a simple ratio. For every 10 minutes of dance, she stretches for 5 minutes, which is half the time spent dancing. We can set up the proportion as follows: 5 minutes of stretching / 10 minutes of dancing = X minutes of stretching / 50 minutes of dancing.

Now, solving for X gives us 5/10 = X/50, which simplifies to X = (5/10) × 50 = 25 minutes. Therefore, Leah should stretch for 25 minutes during her 50-minute dance class.

Final answer:

The volume of a right circular cone with a radius of 4 inches and a height of 12 inches is calculated using the formula V = (1/3)πr²h, resulting in a volume of 64π cubic inches.

Explanation:

The question asks to find the volume of a right circular cone with a specific radius and height. To calculate the volume of a cone, you use the formula V = (1/3)πr²h, where V is the volume, r is the radius, and h is the height of the cone. Since we're given the radius as 4 inches and the height as 12 inches, we substitute these values into the formula: V = (1/3)π(4²)(12).

Carrying out the calculation, we have V = (1/3)π(16)(12) = (1/3)π(192) = 64π inches³. Therefore, the volume of the cone is 64π cubic inches.