Fill in the missing reasons for the following two-column proof for the following information. given: m is the midpoint of cd; cm = 3x – 10; md = 6x – 22 prove: x = 4 statement reason m is the midpoint of cd; cm = 3x – 10 ; md = 6x - 22 1. ? cm = md 2. ? 3x – 10 = 6x – 22 substitution -3x – 10 = -22 subtraction property of equality -3x = -12 3. ? x = 4 division property of equality

Answers

Answer 1

Midpoint  is the middle segment of a given line. Since md = cm = 2 hence the point m is the midpoint of cd

How to prove the midpoint of a line?

A line is a distance between two points. Given the line cd with "m" as the  midpoint, the distance between cm and md will be equal that is:

md = cm

Given the following parameters

md = 6x - 22
cm = 3x - 10


Equate both expressions

6x - 22 = 3x - 10
6x - 3x = -10 + 22
3x = 12

x = 4

subtitute

cm = 3x - 10
cm = 3(4) - 10
cm =

Similarly:

md = 6x -22

md = 6(4) --22
md =

Since md = cm = 2 hence the point m is the midpoint of cd

Learn more on midpoint here: https://brainly.com/question/5566419


Related Questions

I need this answered please

Answers

Answer:

domain: ( 3,6,6)

range : (b,a,d)

Please help me

x^2 + 5=41 (find all solutions to the equation)

Answers

Answer:

X=6!!

Step-by-step explanation:

x2+5=41. x2=36. ±62=36. x=6.

x=6!!!

Five candy bars cost $6.57. The cost of each candy bar is the same. What is the cost of each candy bar rounded to the nearest cent

Answers

total price : amount = individual price

6.57:5=1.31

HELP HELP HELPPPPP

thanks lol

Answers

Answer:

257mm^2

Step-by-step explanation:

18*(3+15)/2 = 162

4*(15+5) =80

3+5 = 15

total = 257 mm^2

Answer:

Step-by-step explanation:

Area of composite figure:

Shape I:

Shape I is an triangle

base= 3 + 15 + 5 = 23 mm

height =  18 mm

[tex]\boxed{\text{Area of traingle = $\dfrac{1}{2}base*height$}}[/tex]

                          [tex]= \dfrac{1}{2}*18*23\\\\= 9*23\\\\= 207 \ mm^{2}[/tex]

Shape 2:

Shape 2 is an rectangle.

length = 15 + 5 = 20 mm

width = 4 mm

[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]

                             = 20 *4

                             = 80 mm²

Shape 3:

length = 5 mm

widht = 3 mm

Area of shape 3 = 5 * 3 = 15 mm²

Area of the composite shape = 207 + 80 + 15

                                                   = 302 mm²

I need help with this
Conclusion
And discussion
It’s a science assignments

Answers

Answer:

Step-by-step explanation:

more hcl = less time.

error in table drawing or values not precise. more explanation needed in pic.

yes.                       more hcl = less time.

An inequality is shown.
2x + 5 ≥ 15
Which model represents the first step in solving this inequality?
A
+1
+1 +1
+1 +1
AA
+1
+1 +1 +1 +1
+1
+1 +1
B
+1 +1
+1
+1 +1
+1 +1 +1 +1 +1
AA
+1 +1
+1
+1
+1
+1
+1
+1 +1 +1
XXA
+1 +1
+1
+1
D
+1 +1 +1
AV
+1 +1
+1
+1 +1
+1 +1 +1

Answers

Answer:

Option A

Step-by-step explanation:

Step 1:  Solve the equation

[tex]2x + 5 \geq 15[/tex]

[tex]2x + 5 - 5 \geq 15 - 5[/tex]

[tex]2x \geq 10[/tex]

[tex]2x / 2 \geq 10/2[/tex]

[tex]x \geq 5[/tex]

Step 2:  What model represents the equation

Seems like option A represents the best because it showcases 2 x's and 5 +1's on the left side which is then greater or equal to the right side with 10 +1's.

Answer:  Option A

Given ↓The inequality 2x+5≥15

To Find ↓The solution to the inequality

Calculations ↓

First, subtract 5 on both sides

2x≥15-5

2x≥10

Now divide by 2 on both sides

x≥5

The correct option is Option A

hope helpful ~

#9 what is the answer

Answers

The triangles ABC and EDC have corresponding sides

The triangles ABC and EDC are similar

How to prove that the triangles ABC and EDC are similar?

The given parameters are:

ED = 8, DC = 10, EC = 12, AB = 12

BC = 15 and AC = 21

To determine that the triangles are similar, we simply divide the corresponding sides to determine the scale factor (k).

So, have:

k = AB/ED = BC/DC

This gives

k = 12/8  = 15/10

Evaluate the quotients

k = 1.5 = 1.5

The scale factors are equal

Hence, the triangles ABC and EDC are similar

Readmore about similar triangles at:

https://brainly.com/question/23741406

Please help me with this please and thank you please actually help me

Answers

Step-by-step explanation:

f(-1) = 4(2)^-1 ≈ 4 × 1/2 = 2

(x, f(x)) = (-1, 2)

f(0) = 4(2)⁰ = 4×1 = 4

(x, f(x)) = (0, 4)

f(1) = 4(2)¹ = 4×2 = 8

(x, f(x)) = (1, 8)

f(2) = 4(2)² = 4×4 = 16

(x, f(x)) = (2, 16)

Find the measure of angle 4
689
44
68
90
136

Answers

Answer:

90 degrees

Step-by-step explanation:

It is a right angle

Alex is putting 7 pounds of strawberries in containers. Each container holds 1/3 of a pound. How many containers will he use?


5th grade question
Please answer as soon as u see

Answers

Answer:

21

Step-by-step explanation:

7 x 3 is 21 you carry the 21 down 21/3=7

There you go!

hey guys, i need help with this ill give you brainlist :)

Answers

Answer: C. 2 3/4 yards.

Hope this helps! :)

Please mark me brainliest.

Answer:

2  3/4

Step-by-step explanation:

Longest  - shortest =

  4 1/2     -   1 3/4   =  2 3/4

what are the guidlines

Answers

Answer:

A guideline is a statement by which to determine a course of action. A guideline aims to streamline particular processes according to a set routine or sound practice. 

HELP ASAP
Refer to the diagram at the right. Give the area of each
region in standard form.
a. Shaded rectangle
b. Larger rectangle
c. Unshaded region

Answers

Answer:

Step-by-step explanation:

(a). [tex]A_{1}[/tex] = x ( 2x + 1 ) = 2x² + x

(b). [tex]A_{2}[/tex] = 2( 2x + 1 )( 5x + 3 ) = 20x² + 22x + 6

(c). [tex]A_{3}[/tex] = 20x² + 22x + 6 - ( 2x² + x ) =

( 20x² - 2x² ) + ( 22x - x ) + 6 =

18x² + 21x + 6  

HELP ASAP BEING TIMED! If Triangle J K L is congruent to Triangle B C A, which statement must be true?

A)Segment J K is congruent to Segment A B

B)Segment J K is congruent to Segment K L

C)Segment J L is congruent to Segment B A

D)Segment J L is congruent to Segment B C

Answers

Answer:

Choice C

Step-by-step explanation:

This is like a matching question. Here's what I mean by this. We know Triangle BCA and Triange JKL are congruent. So, what we have to do is match the side lengths together.

So the first side of BCA matches with JKL, the second side of BCA matches with JKL, the third side of BCA matches with JKL.

So first side:

BC is congruent  to JK

So second side:

CA is congruent  to KL

So third side:

JL is congruent  to BA

The third side is one of our answer choices.

That answer choice is C.

Answer:

c

Step-by-step explanation:

Maya has warm 120 caramel apples to sell each caramel Apple is covered with
one topping how many caramel apples are covered with sprinkles

Answers

Answer:

The total number of caramel apples are covered with sprinkles is 20 and this can be determined by using the arithmetic operations.

Step-by-step explanation:

Given :

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.

1/5 of the caramel apples are covered with peanuts.

1/3 of the caramel apples are covered with chocolate chips.

3/10 of the caramel apples are covered with coconut. The rest are covered with sprinkles.

The following steps can be used in order to determine the total number of caramel apples are covered with sprinkles:

Step 1 - The arithmetic operations can be used in order to determine the total number of caramel apples are covered with sprinkles.

Step 2 - Let 'n' be the number of caramel apples are covered with sprinkles.

Step 3 - So, the value of 'n' is calculated as:

Step 4 - Simplify the above equation.

120 = 24 + 40 + 36 + n

n = 20

For more information, refer to the link given below:

brainly.com/question/2564656

Answer:

There are 20 caramel apples that are covered with sprinkles.

Step-by-step explanation:

First we should make all of these have a common denominator. We could make these be 1/5 = 6/30, 1/3 = 10/30, 3/10 = 9/30. Now we can add them all up. 6 + 10 + 9 = 25/30. Now, to figure out how many apples is 1/30. 120 divided by 30 = 4. Now we can do 4x25 because that's how many non sprinkle apples there are. This is 100. 120 - 100 = 20. You could have also done 4x5 because there were 5/30 sprinkle apples, and gotten the same answer.

       so, there are 20 caramel apples that are covered with sprinkles.

{hope I helped you.]

X^2 =11+2 sqrt30 find value of X

Answers

Answer:

If the question goes like this : x²=11+2

then the value of x will be √13

Step-by-step explanation:

x²=11+2

x²=13

x=√13 ans…

Please help me with this please and thank you

Answers

Answer:

I  think i'm wrong i think it is C

Step-by-step explanation:

The difference of two numbers is 4 and their product is 60. Find the numbers.​

Answers

Answer:

x = 10; y = 6

Step-by-step explanation:

Let's list the factors of 60 because the product of those numbers is 60.

⇒ Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The following possibilities of x and y are possible using (x × y = 60):

60 and 1 ⇒ x = 60; y = 1 ⇒ 60 × 1 = 6030 and 2 ⇒ x = 30; y = 2 ⇒ 30 × 2 = 6020 and 3 ⇒ x = 20; y = 3 ⇒ 20 × 3 = 6015 and 4 ⇒ x = 15; y = 4 ⇒ 15 × 4 = 6012 and 5 ⇒ x = 12; y = 5 ⇒ 12 × 5 = 6010 and 6 ⇒ x = 10; y = 6 ⇒ 10 × 6 = 60

Let's check each possibilities using the equation (x - y = 4):

60 and 1 ⇒ 60 - 1 = 59 ≠ 430 and 2 ⇒ 30 - 2 = 28 ≠ 420 and 3 ⇒ 20 - 3 = 17 ≠ 415 and 4 ⇒ 15 - 4 = 11 ≠ 412 and 5 ⇒ 12 - 5 = 7 ≠ 410 and 6 ⇒ 10 - 6 = 4 = 4 (Correct)

Thus, the values of x and y are 10 and 6 respectively.

The original blueprint for the Morenos living
room has a scale of 2 inches
5 feet, The family
wants TO use a new blueprint that shows the
length of the living room to be 15 inches. If
the width of the living room on the original
blueprint is 6 inches and the length is 9.6 inches,
what are the scale and the width of the new
blueprint?

Answers

Answer:

new width=9.375 in

new scale= 1 foot= 0.4 inches

Step-by-step explanation:

Firstly to find the width we can set up a proportion:

[tex]\frac{x}{15}[/tex] =[tex]\frac{6}{9.6}[/tex], after solving for x, x= 9.375, which gives us our width.

To find the new scale, we knew that the old scale was 2 in=5 feet, or 1 in=2.5 feet, so to find the new one we can also set a new proportion,

[tex]\frac{1}{2.5} = \frac{15}{x}[/tex]

After solving you will get x= 37.5, so 15 inches= 37.5 feet, but to simplify we can divide,

15/37.5= 0.4

I tried my best loooool

Jacob had x apple pies. For each lemon pie sold, 10 more than twice the number of apple pies are sold. If jacob has sold 80 lemon pies, how many apple pies were sold.

A) 70
B) 25
C) 35
D) Not Here

Answers

Answer:

C) 35

Step-by-step explanation:

The answer is C because he sold 80 lemon pies and as the question states ten more than twice the number of apple pies were sold .

Subtract 80 by 10 and divide it by 2

80-10=70÷2 = 35

C, u make an equation of 2x+10= 80 and solve

Martín quiere poner una manguera color neón alrededor del helado que está afuera de su nevería para llamar la atención de sus clientes. Considerando las dimensiones del helado como se muestra en la figura, ¿Cuál es la longitud en centímetros de manguera que se requiere para rodear el helado? *

area 80 cm

longuitud 89. 44cm

215. 04 cm

295. 04 cm

304. 48 cm

384. 48 cm

Answers

La manguera que necesita Martín para rodear el helado es de 304,48m

Cómo calcular la longitud de la manguera que necesita Martín?

Para calcular la longitud de la manguera que necesita Martín para rodear el helado es necesario aplicar la siguiente fórmula matemática:

Longitud de la manguera = π × r + 2 × LLongitud de la manguera = 3,14 × 40 + 2 × 89,44 Longitud de la manguera = 125,6 + 178,88Longitud de la manguera = 304, 48 m

De acuerdo a lo anterior, la longitud de la manguera que necesita Martín es de 304,48m.

Aprenda más sobre longitud en: https://brainly.com/question/25986613

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PLEASE HELP

The circumference of a circular rug is about 18.84 feet, and the diameter of
the rug is 6 feet
Which expression best represents the value of ni?
A.
18.84
6
B. 18.84
C.
3
18.84
D. 18.84
3

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) 18.84 divided by 6 is the answer.

Step-by-step explanation:


pi is essentially any circles' circumference over its diameter. In this case, the rug's circumference is 18.84 and it's diameter is 6, therefore to find pi, you would do 18.84 divided by 6, which is answer A.

Hope this helps!

if 6 coins are flipped, find the probability that there is at least one heads?

Answers

63 in 64 chance


With 6 coins you times by 2 and minus by 1 again resulting in a 63 in 64 chance. To find the chance of getting at least one heads if you flip ten coins you times 64 by 2 four times or by 16 once and then minus 1, this results in a 1063 in 1064 chance of getting at least one heads.

Answer:

63 in 64 chance

Step-by-step explanation:

If you for one coin it would be a 50% chance so you multiply that [tex]\frac{1}{2}^{6}[/tex] which would be the probability of no heads 1/64 and at least 1 head you would [tex]1-\frac{1}{64}[/tex] which is [tex]\frac{63}{64}[/tex]. Ask me if you have any further questions

Please help!!! i'll give brainliest and offering 20 pts each!!!
write each trinomial in the form a(x+b)^2 or a(x-b)^2
please answer all questions correctly! please no spam :-(
5x^2 + 15x + 11.25
10x^2 +20x +10
1/4x^2 + x + 1
3x^2 + 5x + 25/12

explanation isn't necessary, but i will give brainliest to the person with an explanation/best explanation

Answers

Answer:

5(x +1.5)^210(x +1)^21/4(x +2)^23(x +5/6)^2

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

Additional comment

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

Kate and Patty are both saving money to go to a Red
Sox game. Patty has $60 already and decides to put
$10 per week into her savings, while Kate doesn't have
any money to start, but commits to saving $25 every
week.
After 6 weeks, who will have more money saved?
EXPLAIN HOW YOU KNOW.

Answers

Answer:

kate will have more money

Step-by-step explanation:

cuz Kate have 25$ × 6 weeks = 150$

in the other hand , Patty have 60$ before + ( 10$ × 6 weeks ) = 60$+ 60$ = 120$

Emma buys a game for $26.84 she gives the clerk $30.00. List Emma’s change using the least amount of dollar bills and coins

Answers

Answer:

4 dollars, a dime, a nickel, and a penny

Answer:

4 dollars

1 dime

1 nickel

1 penny

Step-by-step explanation:

simplify l(m-n) + m (n-l) + n (m-l)​

Answers

2n(m - l)

Step-by-step explanation:

Multiplying :-

l(m-n) + m (n-l) + n (m-l)lm - ln + mn - ml + nm - nl

Solve the like terms :-

lm - ml - ln - nl + mn + nm2mn - 2nl

Take common :-

2n(m - l)...simplified

Hope it helps you !!

Answer:

-2ln + 2mn

Step-by-step explanation:

Simplify l(m-n) + m(n-l) + n(m-l)​

Step 1 : Distribute and multiply

l(m-n) + m(n-l) + n(m-l)​

l(m) + l(-n) + m(n) + m(-l) + n(m) + n(-l)

lm - ln + mn - lm + mn - ln

Step 2: Combine like terms

lm - ln + mn - lm + mn - ln

lm - lm - ln - ln + mn + mn

0 -2ln + 2mn

Solution:

-2ln + 2mn

Hope this helps!

S = 4LW + 2WH; S = 184, L = 9, W = 4.​

Answers

Step-by-step explanation:

S=4LW+2WH

160=4(9)(4)+2(4)H

160 = 144 + 8H

160- 144 = 144 - 144+8H

16 =8H

16/8H = 8H/8

H=2

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

We need to use the sine of 17 degrees to find x. Our proportion is sin(17 degrees)=x/9.3. Multiply both sides by 9.3 and we get 9.3sin(17)=x. Using a calculator, we get about 2.7.

using rounding to the nearest 10 which number is best estimate of 432 - 169

Answers

1-4 round down 5-9 round up. The answer is 260
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