Drag an expression or phrase to each box to complete the proof.


It is given that JKLM is a parallelogram, so JM ll KL by the ____


. Therefore, ​∠1​ ≅∠2 by the corresponding angles postulate. Also, it is given that _____ ≅∠3, so ∠1≅ ____by the ____

Answer:

I think y=1

Step-by-step explanation:

15y+9y= 24y

24y-10y=14y

divide 14y by 14 and get just y and divide 14 by 14 to get one

y=1

Answer:

Step-by-step explanation:

If  point C is between P and R, then PC+CR = PR.

Given PC = 6x-5

CR = 7 and PR = 29

Required

Find the value of x in metres

Substitute the given values into the formula;

6x-5+7 = 29

6x+2 = 29

subtract 2 from both sides

6x-2+2 = 29-2

6x = 27

Divide both sides by 6

6x/6 = 27/6

x = 27/6

x = 9/2

x = 4.5 metres

Hence the value of x in metres is 4.5metres

Answer:

1. x/4

2. 2/3+x

3. 9-n

Step-by-step explanation:

1. "A number" is an unknown value, so we set that as the variable. When a number is being divided, it's the divisor in a division problem (the first number)

2. The "sum" is the answer to an addition problem (like how the "quotient" is the answer to a division problem), which is why we know to add. Again, "a number" is the unknown value so we set that as the variable.

3. Because Drew is "n" years younger than Joe, Joe's age - n = Drew's age. The question tells us that Joe is 9 years old, so the expression would be 9-n.

I hope this helps! If it does, a brainliest would be much appreciated :)

Answer:

The amount of monthly installments is $267.30

Step-by-step explanation:

Here, we are interested in calculating the amount of the monthly is installments.

To get the amount of the installments, we need to calculate the sum of the interest and the amount borrowed.

Mathematically,

Simple interest = PRT/100

from the question;

P = principal which is the amount borrowed = $10,000

R = rate = 3.5%

T = time = 42 months = 42/12 = 3.5 years

Substitute these values into the formula for simple interest;

We have ;

S.I = (10,000 * 3.5 * 3.5)/100 = $1,225

So the total amount to

payback = interest + principal = 1225 + 10,000 = 11,225

So the amount of installments will be ;

The amount to payback/number of months

Mathematically that would be ; 11,225/42 = $267.26 which is approximately $267.30 per month

Answer:

14

Step-by-step explanation:

-392=28q

-392÷28=14

Answer:

The y intercept is 4

Answer:

4

Step-by-step explanation:

solution: −√10<x<−2 or 2<x<√10

√10=3.16

-3,-2,2,3

The 2 and -2 are the integers satisfy the inequality.

It is required to find the number of integers .

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

For (x²– 4)< 0;

x²<4

By taking the square root of both sides we have,

√x²<√4

x < ±2

x<2 and x<-2

Also,

x²<10

By taking  the square root of both sides we get,

√x²<±√10

x < ±√10

x<√10 and x<-√10

The √10 is not an integer but an irrational number. An integer  is a whole number (not a fractional number) that can be positive, negative, or zero.

So we can't take the integer of ±√10.

Therefore, the 2 and -2 are the integers satisfy the inequality.

Learn more details about inequality here:

https://brainly.com/question/20383699

#SPJ2

Answer:

False

Step-by-step explanation:

As an example

[tex]\frac{1}{2}[/tex] × 6 = 3

Thus a fraction can be multiplied by a whole number/ integer

Answer: No, it can never be negative.

==================================================

Explanation:

Consider the expression x^2

If x were some negative number, say x = -3, then

x^2 = (-3)^2 = 9 which is a positive result.

Picking any negative number for x will make x^2 positive.

We can think of it like this

(-3)^2 = (-3)*(-3) = 9

The two negatives multiply to a positive.

This also happens with exponents 4,6,8, etc. Any even exponent will have an even number of negative signs, all of which cancel out.

Answer:

The smallest of the integers is 7

Step-by-step explanation:

Let the integers be x, y and z

From the question, the integers are consecutive odd integers.

Hence,

If the smallest of the integers is x and the largest is z, then we can write that,

x + 2 = y and

y + 2 = z

Then, x + 2 + 2 = z

∴ x + 4 = z ....... (1)

From the question, four times the smallest decreased by 5 is the same as the largest increased by 12, that is

4x -5 = z + 12 ....... (2)

Put the value of z = x + 4 in equation (1) into equation (2),

We then get

4x - 5 = x + 4 + 12

4x - x = 4 + 12 + 5

3x = 21

x = 7

Hence, the smallest of the integers is 7

The other integers are 9 and 11 ( y= 9 and z = 11)

Answer:

72800000000

Step-by-step explanation:

7.28 * 10^10 = 72800000000

Answer:

7.28 × 10^10 = 72800000000..

If this answer helps you plz mark as brainlist..

Answer:

D-246 pages.

Step-by-step explanation:

To find the total number of pages, you must do 3*410 which = 1,230. 1,230 is the total number of pages so then you divide that by 5 because there are 5 days so 1,230/5 = 246. So 246 pages per day.

ANSWER 246

410*3(books)=1230 /5(days) =246

Answer:

i don't understand Spanish ._.

Step-by-step explanation:

man I wish I understand you ._.

Answer:

2(x + 1) = 8x - 5

assuming you already made the first step, the next step is to distribute the 2

2x + 2 = 8x - 5

if you havent made the first step, above is the first step.

the second step would be to combine like terms by subtracting 2x and adding 5 to both sides

7 = 6x

then you would divide both sides by 6

x = 7/6

Answer:

x=35

Step-by-step explanation:

Triangles always add up to 180 degrees, and so do straight lines. so 180-131=49, 49+96=145, 180-145=x, so x=35 degrees

Answer:

-6 and -4

Step-by-step explanation:

-6 + -4 = -10

-6- - 4 = -2

Answer:

-9

Step-by-step explanation:

Hope this helps.

Answer:Step 1: Simplify both sides of the equation.

2y=4y+12

Step 2: Subtract 4y from both sides.

2y−4y=4y+12−4y

−2y=12

Step 3: Divide both sides by -2.

−2y

−2

=

12

−2

y=−6

Answer:

y=−6

Step-by-step explanation:

Answer:

Well, based on what is provided, I can't be sure that this will be right. If that's all that's given on your worksheet, then the answer should be 5.83

Step-by-step explanation:

Reason why I don't think this is correct is because there's usually two sets to deal with. Which with this, there's only one? I guess if that's the case, then flip the 35 to the other side of the equal sign and divide 35 by 6. that's what gets us 5.83. Please check your paper again to make sure you didn't miss the other side of the equation, because I don't want you to get this wrong over a little mistake.

Answer:

10,080 minutes

Step-by-step explanation:

7 x 24 x 60 = 10,080

Answer:

oh wow i rlly wish i know the answer to this im sorry

Answer:

p = 37

Step-by-step explanation:

divide 2 on both sides:

p = 37

Hope this helps!

Answer:

p=37

Step-by-step explanation:

74 ÷ 2 = 37

2×37 = 74

74 = 74

make me brainliest pls

Answer:

d=hf+5

Step-by-step explanation:

Step 1: Factor out variable d.

d(f+5)=h

Step 2: Divide both sides by f+5.

d(f+5)f+5=hf+5

d=hf+5

Answer:

Step-by-step explanation:

Do you know who Creati is? He deleted all of my progress and a bunch of other peoples, so I'm trying to get a lot of points and start a protest.

Answer:

(x-12y)(x+y)

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

3.2/1

Answer: He can make 16 batches of cookies.

Step-by-step explanation:

Given: . To make cookies, Joshua  needs[tex]1\dfrac18[/tex] cups of flour per batch of cookies.

i.e. 1 Batch requires =[tex]1\dfrac18[/tex] cups of flour

=[tex]\dfrac{9}{8}[/tex] cups     [convert mixed fraction to improper fraction.]

Now if 1 batch = [tex]\dfrac{9}{8}[/tex] cups     (i)

Then, 1 cup = [tex]\dfrac{8}{9}[/tex] batch.           (ii)              [Multiply (i) by [tex]\dfrac{8}{9}[/tex]  ]

Joshua has 18 cups of flour.        

That means ,   18 cup = [tex]18\times\dfrac{8}{9}=2\times8=16[/tex] batch.   [Multiply (ii) by 18]

∴ He can make 16 batches of cookies.

Answer: 6

Step-by-step explanation:

When you add a negative you subtract the opposite (4-2)

(4-2)^3

2^3

2+2+2

6