∠A and ​ ∠B ​ are vertical angles with m∠A=x and m∠B=5x−80 .

What is m∠A ?

Answer:- m∠S=78°.

Explanation:-

Given:- Two congruent triangles ΔMNP and ΔQST which are congruent, where m∠M=66° and m∠N=78°.

⇒The corresponding parts of ΔMNP are congruent to the ΔQST .

Therefore, all the corresponding sides of ΔMNP are congruent to the ΔQST and all the corresponding angles of ΔMNP are congruent to the ΔQST such that

MN=QS , NP=ST and MP=QT.

m∠M=m∠Q, m∠P= m∠T and m∠N=m∠S.

Substitute the value of m∠N=78°, we get

m∠S=78°.

To find the linear equation of a line passing through two given points, use the formula for the slope of a line to calculate the slope, then substitute this value, along with one of the given points, into the point-slope form of a line and solve for y.

The subject of this question is the formulation of a linear equation, specifically a equation of a line passing through two given points (3, -1) and (-2, 5). The formula used to find the slope (m) of a line between two points is: m = (y2 - y1) / (x2 - x1). Use this formula to calculate the slope using these points(m = (5 - (-1)) / (-2 - 3) = -6/5) .

Next, using the point-slope form of a line, y - y1 = m(x - x1), we substitute m with the calculated slope, and (x1, y1) with one of the given points. (Let's use (3, -1), y - (-1) = -6/5(x - 3) simplifying this gives us the answer: y=-6/5x +13/5. Therefore, the correct answer is choice B: y=-6/5x +13/5.

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Answer:

(4,1) D

Step-by-step explanation:

i got it right on edge

Answer:

A

Step-by-step explanation:

-32

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

Velocity = Height / Time

The velocity, in feet per second, of the ball after 2 seconds is 24.

Option C is the correct answer.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

h(t) = 56t - 16t²

h(t) is the height after t seconds.

Now,

Velocity = Height / Time

At t = 2,

h(2):

= 56 x 2 - 16 x 4

= 112 - 64

= 48

Now,

Velocity = 48 / 2

Velocity = 24

Thus,

The velocity, in feet per second, of the ball after 2 seconds is 24.

Option C is the correct answer.

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The answer is 22.62

Hope this helps :)

The length of the other leg is 5 cm.

To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's denote the length of the other leg as ( x ) cm.

According to the Pythagorean theorem:

[tex]\[ \text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2 \][/tex]

Given that the hypotenuse ( c ) is 13 cm, and one leg ( a ) is 12 cm:

[tex]\[ 13^2 = 12^2 + x^2 \][/tex]

[tex]\[ 169 = 144 + x^2 \][/tex]

Now, subtract 144 from both sides:

[tex]\[ x^2 = 169 - 144 \][/tex]

[tex]\[ x^2 = 25 \][/tex]

Taking the square root of both sides:

[tex]\[ x = \sqrt{25} \][/tex]

[tex]\[ x = 5 \][/tex]

Therefore, the length of the other leg is 5 cm.

The narrator's evidence of a past life as a bat can be derived from their understanding of the bat's way of navigating through darkness similar to their pre-literate life, mirroring a bat's perception of the world through sound reflections, and also a subtle hint on a shared evolutionary past with bats.

The narrator of the story hints at the possibility of having a past life as a bat based on their keen sense of understanding and relating to the fundamental traits of a bat. First, the narrator draws parallels between their pre-literate life and a ship lost in the fog, similar to how bats navigate their way in the dark through echolocation, as the figures 17.6 and 14.8 depict. The echoes, in this context, could symbolize the intangible voices of the past, reiterating their bat-like existence.

Secondly, the narrator's reflections on shadows as distorted versions of reality, as narrated in the allegory of the cave, mirrors the bat's perception of the world through sound, making physical visibility a misleading representation. This is also closely connected to the narrator referring to a transcendence that momentarily allows them to live outside social norms, just like bats that occupy the night skies primarily, a time generally regarded as quiet and uninhabited by humans.

Lastly, the narrator’s mention of homologous bat and bird wings as an evidence of common evolutionary past (Figure 20.7) might indicate the belief in being part of the same evolutionary lineage. These instances collectively form the narrator's evidence for the belief in a past life as a bat.

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Answer:

29

Step-by-step explanation:

You don't need to know you just need to know the answer and it is 29

Answer:

d

Step-by-step explanation:

If I were a lender, the borrower's credit report will be important for me. The credit report should be positive and accurate if a person wants to borrow money from me. Good credit reports generate good credit scores and the higher the credit score, the lower the risk to me or the lender.

Similarly, employment history is a measure to check before lending money. This is because if a person has a good history and is working with good firms and on a regular basis, this develops trust that he will work properly pay off the debt. If a person is not responsible at work place and changes his jobs and cities frequently, then it is not sure if he can pay off the debt.

Banks also check these two things before lending any money. These information about a borrower develops trust among the lenders.

Employment history and credit reports gives an insight of an individual's past financial credibility, hence, they are useful in making a decision on whether to lend such individual and the amount that should be lent.

Therefore, these information are necessary for adequate decision making about the financial capability and integrity of the borrower.

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Answer:

You would owe $1,263.75 in taxes at the end of the year.

Explanation:

To calculate the amount of income tax owed, you can use the formula:

Tax amount = Income * Tax rate

Given:

Income = $8,425

Tax rate = 15%

Substitute the values into the formula:

Tax amount = $8,425 * 0.15

          = $1,263.75

So, you would owe $1,263.75 in taxes at the end of the year.

(x, y)-->(x + 2, y -2)  is a translation. If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point (-2, 5).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure

The given transformation is (x, y)-->(x + 2, y -2)

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

(x, y)-->(x + 2, y -2)  is a translation.

If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point:

The rule for a rotation by 90 about the origin is (x,y)→(−y,x)

so (-2, 5)

The coordinates of P ’, the image of P (–4, 0) under the translation(x-3, y+6)?

P (–4-3, 0+6)

P'(–7,6)

The image of point A after a dilation of 3 is (6,15) then the original location of point A is (2, 5)

Hence, (x, y)-->(x + 2, y -2)  is a translation. If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point (-2, 5).

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look to see where the line is in the y direction at x=-4

it crosses at y=-3

 so the value would be -3

Answer:

[tex]\frac{4}{3} \pi r^{3}[/tex]

r =17

Step-by-step explanation:

Given : radius of sphere is 17

To Find : the volume of Sphere

Solution :

Volume of Sphere : [tex]\frac{4}{3} \pi r^{3}[/tex]

We are given that radius 'r' of sphere is 17

So, volume of sphere of radius 17 :

[tex]\frac{4}{3} \pi 17^{3}[/tex]

⇒ [tex]6550.6\pi[/tex]

put value of [tex]\pi[/tex] = 3.14

⇒6550.6 ×3.14

⇒20568.88

Thus , The volume of sphere is 20568.88 [tex]unit^{3}[/tex]

Answer:

Step-by-step explanation:

-13

Final answer:

Bob and Bill can complete the job together in approximately 3.08 hours by combining their individual rates of work, which are 1/5 and 1/8 jobs per hour respectively.

Explanation:

The question asks how long it would take Bob and Bill to complete a job if they worked together, with Bob being able to do it in 5 hours and Bill in 8 hours. To solve this, we calculate the rates at which Bob and Bill work and then combine these rates to find their combined rate.

Bob's rate is 1 job per 5 hours, or 1/5 jobs per hour. Bill's rate is 1 job per 8 hours, or 1/8 jobs per hour. When they work together, their combined rate is 1/5 + 1/8 = 8/40 + 5/40 = 13/40 jobs per hour.

To find the total time it takes for them to complete 1 job, we take the reciprocal of their combined rate: 1 / (13/40) = 40/13, which is approximately 3.08 hours.

Combining Bob and Bill's individual rates, it would take them approximately 3.08 hours to complete the job together.

Find out how long it would take Bob and Bill to do the job together:

Calculate individual rates.

Bob's rate: He can complete the job in 5 hours, meaning his rate is 1 job / 5 hours.

Bill's rate: He can complete the job in 8 hours, meaning his rate is 1 job / 8 hours.

Combine rates.

To find their combined rate, we simply add their individual rates: Combined rate = Bob's rate + Bill's rate Combined rate = (1 job / 5 hours) + (1 job / 8 hours)

Calculate combined time.

Now, divide 1 (representing the entire job) by the combined rate to find the total time they take working together: Time together = 1 / Combined rate Time together = 1 / ((1 job / 5 hours) + (1 job / 8 hours))

Simplify and express the answer.

This can be simplified to: Time together = 40 / 13 hours Time together ≈ 3.08 hours

Therefore, it would take Bob and Bill approximately 3.08 hours to complete the job together.

Answer:

the coefficient of the squared term for this parabola is 6

Step-by-step explanation:

Which rectangle is an enlargement of a 5 by 6 rectangle? B. 15 by 18

Answer: [tex]\dfrac{20}{171}[/tex]

Step-by-step explanation:

Given : Number of nickels in the bag = 10

Number of dimes in the bag = 4

The total number of coins in the bag =[tex]10+4+5=19[/tex]

The probability of drawing nickel :-

[tex]\text{P(nickel)}=\dfrac{10}{19}[/tex]

Total number coins left = 18

The conditional probability of drawing dime, given that a nickel is already drawn :-

[tex]\text{P(dime}|\text{nickel)}=\dfrac{4}{18}[/tex]

Now, the  probability you withdrew a nickel and then a dime is given by :-

[tex]\text{P(dime and nickel)}=\text{P(dime}|\text{nickel)}\times\text{P(nickel)}\\\\=\dfrac{10}{19}\times\dfrac{4}{18}=\dfrac{20}{171}[/tex]

Now, the  probability you withdrew a nickel and then a dime [tex]}=\dfrac{20}{171}[/tex]

the remainder of this long division is 2y^2