Mathematics High School

100 points! Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answers

Answer 1

Answer:

1 and 2.

Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.

D= (-2, 2), E = (-1, -2), F = (-4, -1)

As per definition, midsegment is parallel to a side.

Parallel lines have same slope.

Find slopes of FD and CB and compare.

m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2As we see the slopes are same

Find the slopes of FE and AB and compare.

m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3Slopes are same

Find the slopes of DE and AC and compare.

m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4Slopes are same

As per definition, midsegment is half the parallel side.

We'll show that FD = 1/2CB

FD = [tex]\sqrt{(2+1)^2+(-2+4)^2}[/tex] = [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{13}[/tex]CB = [tex]\sqrt{(1 + 5)^2+(1+3)^2}[/tex] = [tex]\sqrt{6^2+4^2}[/tex] = 2[tex]\sqrt{13}[/tex]As we see FD = 1/2CB

FE = 1/2AB

FE = [tex]\sqrt{(-4+1)^2+(-1+2)^2}[/tex] = [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{10}[/tex]AB = [tex]\sqrt{(-5 -1)^2+(3-1)^2}[/tex] = [tex]\sqrt{6^2+2^2}[/tex] = 2[tex]\sqrt{10}[/tex]As we see FE = 1/2AB

DE = 1/2AC

DE = [tex]\sqrt{(-2+1)^2+(2+2)^2}[/tex] = [tex]\sqrt{1^2+4^2}[/tex] = [tex]\sqrt{17}[/tex]AC = [tex]\sqrt{(-5 +3)^2+(3+5)^2}[/tex] = [tex]\sqrt{2^2+8^2}[/tex] = 2[tex]\sqrt{17}[/tex]As we see DE = 1/2AC

Related Questions

Find the value of x (show work)

Answers

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

Solve for p -10p = -40 ???

Answers

Answer:

p = 40/9

Step-by-step explanation:

p - 10p = -40

-9p = -40

p = -40/(-9

p = 40/9

Find the missing dimension Use the scale 1:5

Model: 3ft
Actual: ?

Answers

Answer:

it will be 1 : 3

Step-by-step explanation:

Solve the area of a rhombus

Answers

Answer:

67.5

Step-by-step explanation:

A=pq/2= (45)(3)/2= 67.5

HELP ME PLEASEE ASAP!!!! PLEASEE

Answers

Answer:

B is the correct option.

Hope it helps!!!

180 - 60 = 4x + 20
120 = 4x + 20
100 = 4x
25 = x

The angle = 180 - 60 = 120

Is this a function?

Answers

an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences

Answer:

yes its a function

Step-by-step explanation:

(if there are different kinds or functions

hoped this helped lmk if it did

Juan needed to use a total of 9 lbs 14 oz of clay for his item.

HELP ME PLEASE

Answers

Answer:

Area of rectangle = 80

Area of Half Circle 8π

Step-by-step explanation:

The area of the rectangle is width x length, so:

Area of Rectangle: 8x10=80 ft^2

Since we know that this is a rectangle, opposite sides are equal, hence the half circle's diamiter being 8 as well.

The area of a circle is πr^2 and half-circle being πr^2/2, so with radius 4 (d/2= 8/2=4)

Area of half circle= π(4)^2= 16π/2= 8π

A fair dice has 6 sides numbered 1 to 6. After it is rolled, 5 of the numbers can be seen. What is the probability that one of these numbers is a 3

Answers

Answer:

[tex] \frac{5}{6} [/tex]

Step-by-step explanation:

Out of those 5 sides, we need to be able to see a 3 from a 6 sided dice.

The total will always be your demoninator and since we was looking at sides, we just need a side that has a 3.

The RMC Theater holds 250 people and last night's performance was sold out! Children
under the age of 16 paid $4.50 per ticket, while adults paid $6.00 per ticket. Last night's
show brought in $1320. Write two equations to represent the given information in this
situation. Let c = the number of children's tickets sold and let a = the number of adult
tickets sold. You do not need to solve the system of equations.

Answers

Answer:

im on that question too thats crazy

Step-by-step explanation:

if same earns $2 more, he’ll have $24. How much does he have to start out with?

Answers

Answer:2

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

SELECT THE CORRECT COMPARISON
PLEASE HELP!! (will give brainlyest

Answers

Answer:

C. The typical value is greater in set . The spread is greater in set A.

Step-by-step explanation:

Set A data is all over the place meanwhile set b data is clumped in one spot. This means Set A data has its data more spread. Then the value is greater in set B since the arrow is on 8.5 while in set A it is on 4.

Antonio is starring in the high school play and has lots of family members and
friends who want to see him perform. He has purchased 17 tickets for the
play. Some of these are adult tickets and some are child tickets. The cost of an
adult ticket is $4 and the cost of a child ticket is $2. If the total cost of the 17
tickets was $60, find the number of each type of ticket purchased.

Answers

Answer:

4 Kids 13 Adults

Step-by-step explanation:

13 x 4 = 52 < Adults

4 x 2 = 8 <Kids

+ 8

----------

= $60

13 + 4 = 17 Tickets

find the mean of the data set below 2,2,3,5,7,8

someone answer asap

Answers

4.5! Add all the numbers then divide by how many numbers there are.

i need help asap thank you

Answers

Answer:

250

Explanation:

2,000 plus 250 × 3 is 2,750 so that is the answer.

Monica deposits $300 into a savings account that pays a simple interest rate of 4.2% paul deposits $400 into a savings account that pays a simple interest rate of 3.8% monica says that she will earn more interest in 1 year because her interest rate is higher is she correct?

Answers

Answer:

Paul earned $2.6 more interest than Monica.

Step-by-step explanation:

Giving the following information:

Monica:

Initial investment= $300

Interest rate= 4.2%

Paul:

Initial investment= $400

Interest rate= 3.8%

To calculate the income earned, we need to use the following formula:

I= P*r*t

P= principal

r= interest rate

t= time

Monica:

I= 300*0.042*1= $12.6

Paul:

I= 400*0.038*1= $15.2

Paul earned $2.6 more interest than Monica.

Help me with this please

Answers

Answer: (17 , 5)

18 + 16 / 2 = 17

0 + 10 / 2 = 5

Answer:

Step-by-step explanation:

F = (18, 0 ) as ( x1 , y1)

G = (16 , 10) as (x2, y2 )

mid = (x1+x2) / 2 ,( y1 + y2) / 2

mid = (18+16)/2 , (0+10)/2

mid = 34/2 , 10 /2

mid =( 17, 5)

What is the algebraic expression for the difference between seven times a number and three times that number?

Answers

Given

An algebraic expression is the difference between seven times a number and three times that number.

To find:

The algebraic expression.

Solution:

Let x be the unknown number.

Multiplication is used for times and subtraction is used for difference.

7 times of a number = 7x

3 times of that number = 3x

The difference between seven times a number and three times that number is

[tex]Difference = 7x-3x[/tex]

[tex]Difference =4x[/tex]

Therefore, the algebraic expression for the given statement is 7x-3x and its simplified form is 4x.

Answer:

I got you covered, friend!

the answer you want is 7x-3x

Step-by-step explanation:

7x-3x means the difference between seven times a number (x) and three times that number (also x)

have a great day

Factor the following polynomial completely.

x^3 + x^2 - 6x

Answers

Answer:

x(x+3)(x-2)

Step-by-step explanation:

i hope this helps :)

x(x-2)(x+3)
final factored form

When you dilate a figure by a factor of 2, which of the following statements are true? *
1 point
Angle measures change
Angle measures stay the same
Side lengths stay the same
Side lengths change

Answers

Answer:

it's c

Step-by-step explanation:

i took the quiz

Tom wants to put up Christmas lights around his house.
His house is a rectangle which is 35m long and 15m wide.
How many metres of lights will Tom need to go all around his house?

Answers

Answer:

525 meters

Step-by-step explanation:

Tom needs 100 meters of lights to go all around his house if Tom wants to put up Christmas lights around his house.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

Tom wants to put up Christmas lights around his house.

His house is a rectangle that is 35m long and 15m wide.

To find the how many meters of lights will Tom need to go all around his house.

Find the perimeter of the rectangle:

The perimeter of the rectangle = 2(length + width)

Length = 35 m

Width = 15 m

The perimeter of the rectangle = 2(35 + 15)

The perimeter of the rectangle = 2(50)

The perimeter of the rectangle = 100

Thus, Tom needs 100 meters of lights to go all around his house if Tom wants to put up Christmas lights around his house.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

A cone sits inside a cylinder, as shown. They share the same height and radius. What is the volume of the cylinder not taken up by the cone? Use 3.14 for p.

A
75.36 in.3

B
150.72 in.3

C
226.08 in.3

D
301.44 in.3

Answers

Answer:

Step-by-step explanation:

Volume of cylinder = πr²h

Volume of cone = πr²h/3

Volume of cylinder is not used by cone = ⅔πr²h = ⅔(3.14)(3^2)(8) = 150.72 sq in

Ben paid $45 for an old guitar he cleaned the guitar, then resold it after marking the price 15% he used 36% of the money he got for the the guitar to buy books how much money did ben spend on books?

Answers

Answer:it’s $18.63

Step-by-step explanation:

($45+.15($45)).36

Answer:

18.63

Step-by-step explanation:

[tex]\left \{ {{y=2} \atop {x=2}} \right. 17.49 +?=18.63[/tex]

help meplease i give 5 star

Answers

these are exterior angles. these are congruent and angle x is 85

he drawing shows the view of the top of a building. What is the value of x?

Answers

Answer:

65 degrees

Step-by-step explanation:

The angles in a triangle must add up to 180 so you subtract 90 and 25 from 180 and are left with 65

Quadrilateral BCDE is inscribed in circle A. The measure of ⏜ is 73°. The measure of ⏜ is 53° and the measure of ⏜ is 102°. Determine the measure of ∠ BCD.

Answers

Answer:

oh ok I think it’s 63>

Step-by-step explanation:

i need the missing term

Answers

Answer:

-2x

Step-by-step explanation:

negative one times 2x is -2x

Answer:

-2x

Step-by-step explanation:

HOPE THIS HELPS YOU OUT! MAYBE JUST MAYBE CONSIDER ME BRAINLIEST I DONT EVEN HAVE 1 LOL

18. Select all the expressions equivalent to 12 + 30y.
3(4 + 10y)
4(3 + 10y)
6(2 + 5y)
2(6 + 30y)
6(3 + 10y)

Answers

A, B, and C are correct. D and E are incorrect

Which shows the expression below in simplified form?
(9.1 x 10-4)-(1.6 x 10-7)

A.9.084 x 10-5

В.9.084 x 10-4

C.9.0984 x 10-4

D.9.09984 x 10-4

Answers

Answer:

[tex]9.0984*10^{-4}[/tex] Answer C

Step-by-step explanation:

Angela is 4 feet 7 inches tall. Angela's doll is 11 inches tall. What is the ratio of Angela's height to the
doll's height?

Answers

Answer: 5:1 (simplified and in inches)

Step-by-step explanation:

Let’s convert Angelicas height in inches so all the measurements are the same.

Anglelicas height: 4 ft7 in

Angelicas height: 55 inches

Dolls height: 11 inches

The ratio would be 55:11 but we would need to simplify since both numbers are divisible by a GCD (greatest common denominator)

55 and 11 are both divisible by 11 so the new simplified ratio would be...

5:1

How do you eliminate the radical sign?

Answers

Answer:

Step-by-step explanation:

you can eliminate the radical by squaring both sides of the equation

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