please help
maths midpoint theorem

Please Helpmaths Midpoint Theorem

Answers

Answer 1

Step-by-step explanation:

10.

the various sides and line segments have been marked as equal already.

so, SSS proves that both triangles are congruent.

but to reprove things with the midpoint theorem :

remember

the line segment in a triangle connecting the midpoints of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.

so,

D, F are the midpoints of BA and BC.

so, AC is parallel to DF and twice as long as DF.

D, E are the midpoints of BA and AC.

so, BC is parallel to DE and twice as long as DE.

E, F are the midpoints of AC and BC.

so, BA is parallel to EF and twice as long as EF.

so, DF = AE = EC

DE = BF = FC

EF = BD = DA

so, the EF of DEF corresponds to DA of ADE.

DF corresponds to AE.

and DE is shared between both triangles.

so, again, all 3 sides correspond 1:1 to sides in the other triangle. and SSS proves they are congruent.

11.

equilateral means all 3 sides are equal :

PS = PT = ST

TSR can only be isoceles (both legs are equal) when

ST = SR

because PM = MQ, M is the midpoint of PQ.

and because of MS || QR, S is the midpoint of PR.

that means PS = SR.

and because PS = ST, ST = SR

therefore, TSR is isoceles.


Related Questions

A school is organizing a weekend trip to a nature preserve. For each student, there is a $60 charge, which covers food and lodging. There is also a $40 charge per student for the bus. The school must also pay a $30 cleaning fee for the bus. If the total cost of the weekend is $4,030, how many students will be going on the trip?

31 students
40 students
41 students
66 students

Answers

Answer:

40 students

Step-by-step explanation:

I think it is 40 students because 60 + 40= 100  then 100 x 40 = 4,000

then the SCHOOL has to pay a $30 cleaning fee so that will add up to $4,030! I hope this helps everybody!

40 students will be going on the trip

How to calculate the number of students that will be going on the trip ?

Each student will pay $60 for food and lodging

Each student will also pay $40 for the bus

Total amount of fee that will be paid by each student is

= 60 +40

= 100

The school will pay $30 cleaning fee for the bus, it's only the school that will be paying this fee, the students are not included. This will will be subtracted from the total cost which is $4,030 leaving us with $4,000

Therefore the number of students going on the trip can be calculated as follows

= 4,000/100

= 40

Hence 40 students will be going on the trip

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Please stop with the trolls

Answers

Answer:

6

scale factor b to A = 4

Step-by-step explanation:

scale factor

We multiply the scale factor times the original figure length to get the new figure length

x * scale factor = 1.5

The scale factor is 1/4

x * 1/4 = 1.5

Multiply each side by 4 to get rid of the fraction

x * 1/4 *4 = 1.5 * 4

x = 6

The scale factor from figure B to figure A

1.5 * scale factor = 6

scale factor = 6/ 1.5

scale factor = 4

A textile artist is asked
to make a wall-hanging that measures at most
3.75 feet wide by 6.5 feet tall. When finished,
the wall hanging measures 3 3/8 feet wide by
6 3/4 feet tall. Does the wall hanging meet the
specifications?

Answers

He wouldn’t be able to meet the specifications as the heigh is greater than the maximum height.

In mathematics, the greater than sign is a basic mathematical notation used to represent an inequality between two values.

The symbol used to denote greater inequality is “>”. It is the commonly accepted mathematical notation of two strokes of equal length that meet at an acute right angle.

A typical use of the greater than sign is to compare two values, where the first  is greater than the second, or one  is greater than the other.

The greater than sign is an approximation of a closing square bracket.

Maximum width of the wall hanging can be 3.75 feet and maximum height can be 6.5 feet.

After completing the work it was found that the width measures 3 3/5 feet and height was 3 3/4 tall.

If the height and width after completing the work is less than or equal to the maximum height and width then he will be able to meet the specifications .

Width

3 3/4

= (12+3)/4

= 15/4

= 3.75

Height

6 3/4

= (24+3)/4

= 27/4

= 6.75

He wouldn’t be able to meet the specifications as the heigh is greater than the maximum height .

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Solving Advanced Linear Equations: Mastery Test
Select the correct answer from each drop-down menu.
Consider the equation below.
The equation was solved using the following steps.
Step 1:
Step 2:
Step 3:
Step 4:
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Complete the statements below with the process used to achieve steps 1-4.
-2 to 5x and 8.
6.x
✓16.
-2(5z + 8) = 14 + 6z
-16.
-10z <- 16
-16z
Reset
-
16 = 14
-16z =
30
= 14 + 6z
H
=
H =
Next
30656
-18
Submit T

Answers

The solution to the equation where the equation is given as -2(5z + 8) = 14 + 6z is z = -15/8

How to complete the steps to solve the equation?

The equation is given as

-2(5z + 8) = 14 + 6z

Open the bracket

So, we have

-10z - 16 = 14 + 6z

Collect the like terms

So, we have

-10z - 6z = 14 + 16

Evaluate the like terms

So, we have

-16z = 30

Divide both sides of the equation by 16

So, we have

z = -15/8

Hence, the solution to the equation where the equation is given as -2(5z + 8) = 14 + 6z is z = -15/8

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need help with solving this triangle

Answers

Answer:90

Step-by-step explanation:

you add 30 + 60 gives you 90 degrees

Which expression is the simplest form of 3x³ – x² + 2 (x³ − 4x²)?

Answers

Answer: [tex]x^{2} (5x-9)[/tex]

Step-by-step explanation:

[tex]3x^3 - x^2 + 2(x^3 - 4x^2)[/tex]

[tex]= 3x^3 - x^2 +2x^3 - 8x^2[/tex]

[tex]=5x^3 -9x^2[/tex]

[tex]=x^2 (5x-9)[/tex]

PLEASE HELP QUICK WILL GIVE BRAINLIST !!!
How many times larger is 9 x 10^5 than 5 x 10^3?

1.8
18
180
1,800

Answers

Answer:

180.

Step-by-step explanation:

9/5 = 1.8 and 10^5/10^3 = 10^2
so tis 1.8 x 10^2 which is 180

pls give branliest

Answer: 180

Step-by-step explanation:

(9 x 10^5) / (5 x 10^3)=

(9 x 10^(2+3)) / (5 x 10^3)=

(9 x 10^2 x 10^3) / (5 x 10^3)=

(9 x 10^2)/5=        ==> Divide each side by 10^3

900/5=180

-7(5x-70=-19-x i neeeeeeeeeeeeeeeeeeeeeeddddddd helppp

Answers

Answer:

hope this will help you

Step-by-step explanation:

-7(5x-70)=-19-x

-35x+490=-19-x

490+19=-x+35x

509=34x

x=509/34

x=14.97

Pls help me with thisss

Answers

Answer:

A

Step-by-step explanation:

Each hash mark between "School" and "Declan's house" is one-eighth of a mile.  Starting at "School" count 5 hash marks to the left to get where Harper lives.

Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
select all that apply

m - 4 = -7m - 8
-8 - 3m = 4 - m
-3m - 8 = 4 - m
-15m = -4m
-7m - 8 = m - 4
-8 - 7m = -4 + m

Answers

The equations that are equivalent to the given equation are m - 4 = -7m - 8, -7m - 8 = m - 4 and -8 - 7m = m - 4

How to determine the equations that are equivalent to the given equation?

The equation is given as

-2m - 5m - 8 = 3 + (-7) + m

Remove the bracket

So, we have

-2m - 5m - 8 = 3 - 7 + m

Evaluate the like terms

So, we have

-7m - 8 = - 4 + m

The above expression can be written as follows

m - 4 = -7m - 8

-7m - 8 = m - 4

-8 - 7m = m - 4

Hence, the equations that are equivalent to the given equation are m - 4 = -7m - 8, -7m - 8 = m - 4 and -8 - 7m = m - 4

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Can you please help me

Answers

Check out the attached photo

3 1/5 ÷ 3 4/5 answer plsss​

Answers

Answer: oh ofc! here is the answer it is 0.84210526315

but im not 100% sure it is the right answer

Step-by-step explanation: i really hope this helps have a good day/night (: <3

For which value of x is line n parallel to line m?
(Click document to see image.)

Answers

Answer: 70

Step-by-step explanation:

Looking at line p, we can form an equation to find the missing angle that would make the line equal to 180* (all straight lines, unless stated otherwise, should be assumed they are a 180* angle). We can use the equation below:

[tex]180 = 80 + 30 + x\\x = 180 - (80 + 30)\\x= 70[/tex]

If lines n and m are parallel, the angles should be equal when looking at an intersecting line.

Hope this helps!

Solve the formula for the variable h v=lwh

Answers

Answer:

[tex] \sf \: h = \frac{v}{lw} [/tex]

Step-by-step explanation:

Let's solve for h.

v=lwh

Step 1: Flip the equation.

hlw=v

Step 2: Divide both sides by lw.

hlw/lw = v/lw

h=v/lw

add it
3+8+6+3+3+3+6

Answers

The answer to it would be 32.

Answer:

32

32 is the answer hope this helps

step-by-step prime 36

Answers

Answer:

Step-by-step explanation:

36

6*6

3*2*6

3*2*3*2

desperate need in help

Answers

Answer: 8x^10

Step-by-step explanation:i guessed but when you multiply exponents you just add them so the exponent is 10 and then 2 cubed is 8


What is the range of the function on the graph?
all the real numbers
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
all the real numbers greater than or equal to -3

Answers

The range of the function on the graph containing all the real numbers greater than or equal to –3 . So the correct option is (d)

What is the range of a function?

The collection of all a function's outputs constitutes its range.

The elements of the co-domain that are mapped are known as the images, while the elements of the domain are known as pre-images.

The set of all images of the domain's elements in this case serves as the function's range, as does the set of all of its outputs.

We have to find the function on the graph.

From the given graph, we can see from the graph that the function's maximum y value is -3 and that the graph keeps going up.

Therefore, the range includes all real values that are greater than or equal to -3.

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If the difference of a number and eight is tripled, the result is six more than the number. Find the number. Round your answer to the nearest integer, if necessary.

Answers

If the difference of a number and eight is tripled and the result is six more than the number, the number is 15

How to find the number using variable?

The difference of a number and eight is tripled, then the result is six more than the number.

Therefore, the number will be represented by a variable

let the number  = x

Hence,

3(x - 8) = x + 6

Therefore, let's open the bracket

3(x - 8) = x + 6

3x - 24 = x + 6

subtract x from both sides of the equation

3x - 24 = x + 6

3x - x - 24 = x - x + 6

2x  - 24 = 6

add 24 to both sides of the equation

2x  - 24 + 24 = 6 + 24

2x = 30

divide both sides by 2

x = 30 / 2

x = 15

Therefore, If the difference of a number and eight is tripled and the result is six more than the number, the number is 15

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The variables and y vary inversely. Use the given values to write an equation relating and y. Then find y when x = 3.

x = 5, y = -4

An equation is y =
When x = 3, y =

Answers

Answer:

x=5$

$y=-4

Step-by-step explanation:

the solution is easy no more you have to put the first numbers and put it in order

The common difference for the geometric sequence given by 1, -1, -3, -5, -7… is 2.

Answers

Answer:

No, the difference is -2.

Step-by-step explanation:

As the sequence progresses, the numbers get smaller(1, -1, -3, ...), and they get smaller by 2. Hence, the change in every number in the sequence as it progresses is -2.

Can someone help me I will mark u brilliant

Answers

Answer: R'=(-4, -3)

S'=(-4, -10)

T'=(-8, -10)

U'=(-8, -3)

Step-by-step explanation:

When rotated around the origin by 180 degrees, the rectangle will have all its coordinates' x and y values negated.

R=(4,3) ==> R'=(-4, -3)

S=(4,10) ==> S'=(-4, -10)

T=(8,10) ==> T'=(-8, -10)

U=(8,3) ==> U'=(-8, -3)

What value of x makes this proportion true?
25/20 = x/4
A. 6
B. 9
C. 20
D. 5

Answers

The answer is d,5 as 25/20 and r can divide both sides by 5 leaving us with 5/4

Which is the following in an irrational number?
A. -8.264264264...
B. -5/9
C. 17.47
D. 4.28192489...
*

Answers

Answer:

D

Step-by-step explanation:

Irrational numbers are those which cannot be expressed by the ratio of two integers.

A is rational because it is a recurring decimal. Recurring decimals can be represented by the ratio of two integers (this one can be represented by the fraction -2752/333, which is a ratio of two integers).

B is a fraction with two integers, therefore it is rational. -5/9 is a ratio of two integers.

C can be represented by 1747/100.

D is an infinite decimal but isn't recurring like A, meaning it cannot be represented by the ratio of two integers, and is therefore it is irrational, unless you are shown further digits of the decimal which prove it to be recurring, which is not the case here.

Frind the sale price if 15% discount is allowed off market price of 25.00. fly

Answers

the answer is 21.25 dollars

10x-6-10x-2 simplified please show steps

Answers

10x-6-10x-2
10x-8-10x
= -8

Answer:

Step-by-step explanation:

1) group any number with an X together and rewrite answer (if there is a negative in front of a number always carry it with it when rearranging.)

10x-10x-6-2

2) lets solve the numbers with Xs together

10x+10x= 20x

3) now lets solve whole numbers

-6-2=-8

4) bring down the 20x and the -8/ rewrite problem with your solved numbers

20x-8

5) we have to have X alone so in order to get rid of the 20 in front of the X you must divide 20 by 20x,

20x/20 ( it cancel's out and now you're left with X)

X=-8

6) but whatever you do to one side of the equal sign you have to do to the other side so now you must divide -8/20 which will leave you with

Answer: X=-0.4 or -2/5

Find the remainder when 2x^10 - 3ix^8 + (1 + i)x^2 - (3 + 2i)x + 1 is divided by (x - i)

Be sure to show your work.

Answers

Use the polynomial remainder theorem. The remainder upon dividing a polynomial [tex]p(x)[/tex] by a linear factor [tex]x-c[/tex] is exactly [tex]p(c)[/tex].

In this case,

[tex]p(x) = 2x^{10} - 3ix^8 + (1+i)x^2 - (3+2i)x + 1[/tex]

and [tex]c=i[/tex]. Then the remainder is

[tex]p(i) = 2i^{10} - 3i^9 + (1+i)i^2 - (3+2i)i + 1[/tex]

Since [tex]i^2=-1[/tex] and [tex]i^4=1[/tex],

[tex]p(i) = -2 - 3i - 1 - i - 3i + 2 + 1 = \boxed{-7i}[/tex]

Is x = -14 a solution to 9x - 7 = -7?

Answers

Answer:

since x=-14

9(-14)-7

-126-7=-133.


Jack is building a wall.
He uses 300 bricks to build part of the wall.
This part of the wall is 5 metres long and 1.5 metres high.
The complete wall will be 8 metres long and 1.5 metres high.
How many more bricks does Jack need to complete the wall?

Answers

The amount of bricks that Jack would need to complete the wall is 180.

How many more bricks does he need?

The first step is to determine the total amount of bricks he would need to build the wall. In order to determine this value, ratio analysis would be used.

Total bricks needed = (area of wall x number of blocks already used) / (area of wall already built)

Area of wall = 8 x 1.5 = 12

Area of wall already built = 5 x 1.5 = 7.5

Total bricks needed = (12 x 300) / 7.5 = 400 bricks

Number of bricks needed to complete the wall = 400 - 300 = 180 bricks

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Okay what about 124.35$ and the sales tax is 6.75%

Answers

Answer:

$132.74

Step-by-step explanation:

First: divide the sales price by 100

6.75 ÷ 100 = 0.0675

Second: multiply the answer from the first step by the original price

0.0675 x 124.35 = 8.393625

round to the hundredths place

8.393625

8.39

Third: add the original price with the answer from the second step

124.35 + 8.39 = 132.74

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