Your teacher will grade your response to ensure that you receive proper credit for your answer.
It is the same distance from second base to first base, and from second base to third base. The angle formed by first base, second base, and home plate has the same measure as the angle formed by third base, second base, and home plate. What can you conclude about the distance from first base to home plate, and from home plate to third base? Explain using your knowledge of congruent triangles.

Answers

Answer 1

Answer:

The answer is

Converting this into a geometry problem requires us to name the points. Let give the home plate a symbol A, first base will be B, second base will be C, and the third base will be D. Now, we can present a geometrical proof:

STATEMENTS | REASONS

(1) BC = CD | Given

m(2) AC = AC | Reflexive Property

(3) triangle ACD = triangle ACB | SAS Congruence

(4) AD = AB | CPCTC

when  CPCTC means Congruent Parts of Congruent Triangles are Congruent.

Therefore, the distance from first base to home plate, and from home plate to third plate are equal.

webew7 and 240 more users found this answer helpful

THANKS

149

4.0

(91 votes)

Answer

3.0/5

Step-by-step explanation:

Answer 2

Answer:

The answer is

Converting this into a geometry problem requires us to name the points. Let give the home plate a symbol A, first base will be B, second base will be C, and the third base will be D. Now, we can present a geometrical proof:

STATEMENTS | REASONS

(1) BC = CD | Given

m(2) AC = AC | Reflexive Property

(3) triangle ACD = triangle ACB | SAS Congruence

(4) AD = AB | CPCTC

when  CPCTC means Congruent Parts of Congruent Triangles are Congruent.

Therefore, the distance from first base to home plate, and from home plate to third plate are equal.Step-by-step explanation:


Related Questions

Simplify (-3.7x) x (5.1y)

Answers

Answer:

-18.87xy

Step-by-step explanation:

[tex]\left(-3.7x\right)\left(5.1y\right)[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]=-3.7x\cdot \:5.1y[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3.7\cdot \:5.1=18.87[/tex]

[tex]=-18.87xy[/tex]

~Learn with Lenvy~

savannah loves to talk on her cell phone. she has $100 in her budget to pay this months cell phone bill. $20 per month plus $0.10 per minute of usage. what is the maximum number of minutes she can talk this month?

Answers

$100 - $20 = $80 left to pay for her phone
10¢ per minute $1 per 10 minutes
10*100 is 1,000 which would be $100 but you used 20 and only had 80 left
So
I think it’s 800 minutes

Sorry I do math weird lol I hope this makes since

HELPPPP

find value of x and y

Answers

X= 125 bc it is a linear pair w 55 so you subtract 55 from 180 and get 125
Y=125 bc it is an alternate interior angle of x

Eric made $289 for 17 hours of work.
At the same rate, how many hours would he have to work to make $ 119?

Answers

Answer:

7 hours

Step-by-step explanation:

You would divide 289 by 17. You get 17. Then you would divide 119 by 17 and you get 7

Answer:

7 Hours of work to earn $119

Step-by-step explanation:

You would divide $289 by 17 hours to find your hourly wage. You would find the hourly wage to be $17 an hour. Then you would take $119 and divide it by $17, and you'll find the number 7, this is your hours of work you have to work to earn $119.

the axis of symmetry of a parabola does not always contain which point?

A) maximum or minimum
B) vertex
C) midpoint of the x-intercepts
D) y-intercept

Answers

Vertex brainly pleaseee

Gianna works in a department store selling clothing. She makes a guaranteed salary of $500 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would Gianna make in a week in which she made $975 in sales? How much would Gianna make in a week if she made xx dollars in sales?
Earnings when selling $975:
Earnings when selling $x:

Answers

Answer:

$646.25 is her earnings when selling $975.

Her earnings when selling $x is 500 + 0.15x.

Step-by-step explanation:

You know that her guaranteed salary is $500, and she also gets a commission that is 15% of her sales. So, the expression is

500 + 0.15x

Where x is total sales. When you are given $975 as her total sales, plug it in for x:

500 + 0.15(975)

500 + 146.25

$646.25 is her earnings when selling $975.

Her earnings when selling $x is 500 + 0.15x.

I need help with this ​

Answers

Answer:

Step-by-step explanation:

1- angle JZF

supplementary angle or straight angle =180 degree

HZJ+JZF=HZF straight angle

2- JZA

complementary angle or right angle =90 degree

HZJ+JZA=HZA ( right angle)

if angle HZJ=38 degrees

HZJ+FZJ=180

FZJ=180-38

FZJ=142 degrees

HZG+HZJ=180

HZG=180-38=142 degrees ( which is vertical angle to FZJ and equal to it)

HZG=142 degrees

AZJ+HZJ=90 degrees

AZJ=90-38

AZJ=52 degrees

Given line m is parallel to line n. What theorem or postulate justifies the statement? ∠1 ≅ ∠4 Corresponding angles postulate Alternate interior angle theorem Linear Pair postulate Vertica

Answers

Answer:

corresponding angles postulate

Step-by-step explanation:

just took the test ;)

Answer: Corresponding angles postulate

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.

Y= 30(1.003)^x

Answers

For the given exponential function, the change represents a growth  and the percentage rate is 0.3%.

Exponential Function

The formula for the exponential function is:

[tex]y(t)=y(0)*(1+R)^t[/tex], where:

y(t)= final value

yo=initial value

R=rate

t= time

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:  [tex]y=30*(1.003)^x[/tex].

When you compare [tex]y=30*(1.003)^x[/tex]with [tex]y(t)=y(0)*(1+R)^t[/tex], it is possible to see:

1. 1+R=1.003, so >1 . Therefore, the change represents growth.

2. 1+R=1.003 , therefore,

                           1.003=1+R

                          R=1.003-1

                          R=0.003

                          then,

                       

                         %R=0.003*100=0.3%

                         

Read more about the exponential function here:

https://brainly.com/question/8935549

PLEASE HELP!!!
A student decreases the temperature of a 397 cm3 balloon from 515 K to
220 K.
Assuming constant pressure, what should the new volume of the balloon be?
Round your answer to one decimal place.

Answers

Answer:

P V = N R T      ideal gas equation

V2 / V1 = T2 / T1       dividing equations

V2 = 397 cm^3 * (220 / 515) = 170 cm^3

True or false: The range is calculated by adding the highest and lowest scores in a data set and then dividing by the number of scores in the dataset.

Answers

Answer:

False

Step-by-step explanation:

You calculate range by first putting all the numbers in order. Then subtract the lowest number from the highest.

What the question is thats how to calculate the median.

Have a wonderful day!

From the definition of the range, we understood that the given statement is false.

The given statement is "The range is calculated by adding the highest and lowest scores in a data set and then dividing by the number of scores in the dataset".

We need to state whether the given statement is true or false.

What is the range?

The range formula is mostly used in statistics to determine the range given in a particular data set. The formula helps in determining the centre of the set by finding the difference between the lowest and the highest number. In distribution, the large range means higher variability whereas the small range means low variability. The range formula includes the other aspects of statistics such as mean, median, and mode. Hence, the formula to calculate the range is:

R = Highest Value (H) - Lowest Value (L).

Therefore, from the definition of the range, we understood that the given statement is false.

To learn more about the range visit:

https://brainly.com/question/4135956.

#SPJ2

4x + 3=10
can someone please help solve for x ​

Answers

Answer:

x = 7/4

Step-by-step explanation:

4x + 3 = 10

4x = 10 - 3

4x = 7

x = 7 ÷ 4

x = 7/4

hope that helps...

Hello there! I am EnjoyingLife, and I hope you find my answer helpful :)

The first step is to subtract 3 from both sides (remember the Golden Rule of Algebra: Whatever we do to one side, we do to the other)

[tex]\tt{4x+3-3=10-3}[/tex]

[tex]\tt{4x=10-3}[/tex]

[tex]\tt{4x=7}[/tex]

Divide both sides by 4 in order to isolate x:

[tex]\tt{x=\frac{7}{4}[/tex]

Hope it helps!

Have an amazing day!

Good luck!

[tex]\tt{EnjoyingLife}[/tex]

Heidi wants to buy a bike.She has already saved $57 and plans to save $12 per week.Consider the following information: y=12x+57 x= the number of weeks y= the total money saved .Which of the following statements is TRUE

Answers

Answer:

It will increase by 12 every week, 57 is just what she already had, or in slope-intercept form, 57 is b

Step-by-step explanation:

consider the following two linear equations -2x+4y=4 "2x+8y=8" solve for the point of intersection

Answers

[tex] - 2x + 4y = 4[/tex]

[tex]2x + 8y = 8[/tex]

Add the systems together:

[tex]2x - 2x + 4y + 8y = 4 + 8[/tex]

[tex]12y = 12[/tex]

[tex]y = 1[/tex]

Substitute y=1 in any equation:

[tex]2x + 8(1) = 8[/tex]

[tex]2x + 8 \: = 8[/tex]

[tex]2x = 0[/tex]

[tex]x = 0[/tex]

Define point A as the intersection between the two lines:

[tex]a(0. \: .1)[/tex]

Find the 84th term of the arithmetic sequence 18, 31, 44,. 18,31,44,

Answers

the answer is 1097 because I calculated every single thing.

Choose the missing step in the given solution to the inequality −6x − 10 > 14 + 2x. (1 point)


−6x − 10 > 14 + 2x


_______________

-8x>24

x 14

B.) -8x -10 >14

C.)−4x − 10 < 14

D.) −8x − 10 < 14

Answers

Answer:

- 8x > 24

Step-by-step explanation:

Given

- 6x - 10 > 14 + 2x ( subtract 2x from both sides )

- 8x - 10 > 14 ( add 14 to both sides )

- 8x > 24 ← required missing step

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x < - 3 ← is the solution

A bacteria starts with 500 cultures and grows exponentially. The number of bacteria at time t, where t is time in hours, is given by the function g (t)=500•2^2t.
The bacteria multiplies by ____________ every hour.

Answers

Answer:

a factor of 4

Step-by-step explanation:

The equation is

[tex]500 (2) {2}^{t} [/tex]

Which can be simplified to

[tex]500 (4) {}^{t} [/tex]

Since 4 is the base, the constant factor is 4.

Evaluate for a = 2 and b = 3.

(a + b)2

Answers

[tex]\sf\fbox\red{Answer:-}[/tex]

(2+3)²

=(5)²

=25

[tex]\small\fbox{\blue{\underline{mαrk \; mє \; вrαínlíєѕt \; plєαѕє ♥}}}[/tex]

You see how the a is labeled a = 2 and b = 3
place those where the letters go and add them up. for example a = 4 and b = 3. Well then A would be 4 and B Would be 3. It would look like this (4+3)2. so add those together and it would give you 7 then just multiply by 2. Which gives you 14. Hope to help :)))

The Pyramid of Khafre measured 143.5
meters high. The Pyramid of Menkaure
measured 65.5 meters high. Write and
solve an equation to find d, the difference
in the lengths of the two pyramids.

Answers

Answer:

what are the answers that are given

Step-by-step explanation:

Answer:

I Think you have to subtracted those two number

Step-by-step explanation:.

someone please help me, I will give brainliest

find the indicated side of the triangle

Answers

Answer:

28√2

Step-by-step explanation: i promise its the answer.

Answer:

28

Step-by-step explanation:

Its the top part  for the number

Pls answer the question attached.
I WILL MARK U BRAINLIST

Answers

Answer:

[tex](x + 5)(a + 3b) \\ \\ = a(x + 5) + 3b(x + 5) \\ \\ = ax + 5a + 3bx + 15b[/tex]

# Jerry Don is here#

John runs 18 miles in 4 hours. How many miles can John run per hour?​

Answers

Answer:

4.5 miles per hour

Step-by-step explanation:

you start with 18 = 4x

divide both sides by 4

and you get x = 4.5

I need help on this question

Answers

Answer:

fg and Ab ex a=b +G=fa none of the above

Divide.

5/6÷ (−2/3)


−5/4

​−5/9​

5/9

​5/4

Answers

5/6÷(-2/3) is -1 1/4. Decimal form would be -1.25

well the answer is actually -1.25

can some one help
pleassse

Answers

Answer:

For the first one, it is

1. C: 3

2.B, 7

3. D, 2

4. A, 0.5

Step-by-step explanation:

A=b
B=b
C=c
B=b
You welcome :)

Monica has $20. she needs to buy a gallon of milk that costs $2.50. she also wants to buy yogurt, which costs $1.20 a cup. which inequality can you use to find the number of cups of yogurt monica can buy? 1.20x 2.5 greater-than-or-equal-to 20 1.20x 2.5 less-than-or-equal-to 20 1.20x 2.5 < 20 1.20x 2.5 > 20

Answers

The inequality which is used to find the number of cups of yogurt Monica can buy is,

[tex]1.20x+2.5\leq20[/tex]

What is the inequality equation?

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Monica needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Let suppose the number of cups of yogurt bought by Monica is x.

As she has only $20. Thus, the inequality expression which can be used for this condition is,

[tex]1.20x+2.5\leq20[/tex]

Solve the above equation and find the value of x,

[tex]1.20x\leq20-2.5\\1.20x\leq17.5[/tex]

Divide both side with 1.20,

[tex]x\leq\dfrac{17.5}{1.20}\\x\leq14.58\overline3[/tex]

Hence, the number of cups she can Monica is 14.

Thus, the inequality which is used to find the number of cups of yogurt Monica can buy is,

[tex]1.20x+2.5\leq20[/tex]

Learn more about the inequality equation here:

https://brainly.com/question/17724536

Answer:

b

Step-by-step explanation:

Admission to a football game was $1 for students and $2 for adults. There were 80 more student tickets sold than adult tickets. If the total money collected was $980, how many of each type of ticket were sold?

Answers

Answer:

225 adult tickets 530 student tickets

2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For
<en place.
the first three hours of typhoon, the rain fell at a constant rate of 25mm per hour.
The typhoon slows down for an hour and started again at a constant rate of 20 mm
per hour for the next two hours. Write a piecewise function that models the amount
of rainfall as function of time.​

Answers

Answer:

The piecewise equation is given as :[tex]A(t)=\begin{cases} 25x& \text{ if } 0 \leq x \leq 3 \\ 75& \text{ if } 3<x<4 \\ 75+20(x-4) & \text{ if } 4 \leq x \leq 6\end{cases}[/tex]

Step-by-step explanation:

Let x be the time in hour and A(x) be the amount of accumulating rainfall at time x.

We are given that in the first three hours the rain fell at a constant rate of 25mm per  hour

Amount of rainfall in 1 hour = 25

Amount of rainfall in t hours = 25x

[tex]A(x) = 25x ; 0 \leq x \leq 3[/tex]

The rain then slows down and remains constant

So, Amount of rain for that hour = [tex]25 \times 3 = 75 mm[/tex]

75 mm ; 3

Now we are given that started again at a constant rate of 20 mm  per hour for the next two hours.

Amount of rain after 4 hours = [tex]75+20(x-4) ; 4 \leq x\leq 6[/tex]

The rain increases at a rate of 20t from 4 ≤ x ≤ 6.

Hence the piecewise equation is given as :[tex]A(t)=\begin{cases} 25x& \text{ if } 0 \leq x \leq 3 \\ 75& \text{ if } 3<x<4 \\ 75+20(x-4) & \text{ if } 4 \leq x \leq 6\end{cases}[/tex]

1. Find the difference.
982.2 - 95.32

Answers

Answer: 886.88

Explanation: 982.2-95.32=886.88 you take one from the hundreds place and add it to the tens, then you take from the tens place then add it to the ones. Then you take the ones place and add one to the tenths place

ASAP I JUST WANT THE ANSWER
Select the correct answer.

Circle M dilated by a scale factor of 3 gives circle N. If the circumference of circle N is 6 cm, what is the circumference of circle M?




A.

54 cm

B.

3 cm

C.

2 cm

D.

18 cm

Answers

Step-by-step explanation:

2 cm

scale factor of 3

then 6/3 = 2 cm

Answer:

C.  2 cm

Step-by-step explanation:

As the circumference is a measure of length (one dimension), we can simply divide the given circumference of circle N by the scale factor to find the circumference of circle M:

⇒ circumference of circle M = circumference of circle N ÷ scale factor

                                                = 6 cm ÷ 3

                                                = 2 cm

(If we were working with area, we would have to divide/multiply by the square of the scale factor, since we would be working in 2 dimensions)

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