Multiply the pairs of numbers and match them to their products.​

Answer:definition of midpoint, angle BCA is congruent to angle DCA

The triangles ΔABC and ΔADC are congruent triangles by

a) definition of mid-point

b) measure of ∠ACB = measure of ∠ACD = 90°

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADC

Now , the side AC is the common bisector of both the triangles such that

C is the midpoint of BD

So , the measure of side BC = measure of side CD

And , the perpendicular bisector is right angle

So , the measure of ∠ACB = measure of ∠ACD = 90°

And , the measure of AC = measure of AC ( reflexive property )

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

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Answer:

x=13.5

Step-by-step explanation:

Perform the same operation on each side:

2x+5 = 32

2x     = 27

x       = 13.5

So, x is 13.5

Answer:

x=3.2

Step-by-step explanation:

4(6 – x) + 4 = 2 (3x + 1) – 6

24 - 4x + 4 = 6x + 2 - 6

28 - 4x = 6x -4

-4x - 6x = - 4 - 28

-10x = - 32

divide both sides

x = 16/5 or x = 3.2

hope this helps :)

Answer:

17600

Step-by-step explanation:

calculator

Based on the amount of money being saved and the amount of time it will be saved, the amount in the account after 6 years would be $6,166.51

The interest is compounded monthly which means that you need to convert the interest to a monthly figure as well as the number of years you will be investing:

3.5% / 12 months = 3.5/12%

6 years x 12 = 72 months

The amount after 6 years is:

= Amount x (1 + rate) ^ number of periods

= 5,000 x (1 + 3.5/12%)⁷²

= $6,166.51

In conclusion, the amount in the account after 6 years is $6,166.51.

Find out more at https://brainly.com/question/20883478.

Answer:

The answer is Option D

Step-by-step explanation:

Supplementary angles are angles that sum up to 180 °

Answer:

D. 1000 gallons per hour

Step-by-step explanation:

5000 / 5 = 1000

Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.

Hoped this helped!

Answer:

1 6/7 inches of snow in 1 hour

Step-by-step explanation:

13 divided by 7 is 1 6/7

Answer:

D

Step-by-step explanation:

100% true

Answer:

It is D

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Total weekly salary:

regular weekly salary + amount from working over 40 hours

In one full week of 40 hours of work, you earn a regular salary of $340.

For each hour you work over 40 hours, you earn $12.50 per hour.

Let x = number of hours you work over 40 hours.

The amount you make from these extra hours is 12.5x

Your total weekly salary is

340 + 12.5x

You want your total weekly salary to be more than $490.

340 + 12.5x > 490

Answer:

answer

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Substitute 7 into 2, and 11 into y.

2(7)+(11)

14+11

25

Answer:

10:18   10 gal of blue paint and 18 gal of yellow paint.

Step-by-step explanation:

Answer:

i'm going to guess either 5:9 or 9:5...

Step-by-step explanation:

Answer:

3[tex]\sqrt[9]{Z}[/tex]²

Step-by-step explanation:

Expression -

(27[tex]\sqrt[3]{Z}[/tex]²) ^1/3

Transform the expression -

³[tex]\sqrt[3]{27}[/tex][tex]\sqrt[3]{Z}[/tex]²

Simplify - //Note: ignore the ' * '//

3[tex]\sqrt[3]{*}[/tex][tex]\sqrt[3]{z}[/tex]²

Simplify (Again) -

3[tex]\sqrt[9]{Z}[/tex]²

Answer:

C = 6

Step-by-step explanation:

Here are steps

C - 20 = 4 - 3C

C + 3C = 4 + 20

4C = 24

C = 6

Answer: m<10 less than 10 is the answer so it would be m<10

Step-by-step explanation:

Answer: 5^5.

Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.

Answer:

500 (or 5) is in the hundreds place, 30 (or 3) is in the tens place, and 8 is in the ones place.

Step-by-step explanation:

500 is five-hundred, 30 is a ten (10, 20, 30, 40...), and 8 is a one because it is a single digit number and no other numbers come before it, unless it is a decimal.

Answer:

yo I'm doing the same thing

Answer:

3.125

Step-by-step explanation:

Hope this helps!! :)

Answer:

3.05

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Given that:

Three six-sided dices are to be rolled.

The number of ways to have the same value on the two dices is:

{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) }  = 6 ways

Thus; the objective is to determine the number of ways to a get smaller value on the third dice  while the two other dice have the same value.

To get started:

The number of ways for getting a value smaller than 1 = 0

The number of ways for getting a value smaller than 2 = 1

{i.e. (2,2,1)}

The number of ways for getting a value smaller than 3 = 2

{ i.e. (3,3,1) ,(3,3,2) }

The number of ways for getting a value smaller than 4 = 3

{ i.e. (4,4,1) , (4,4,2), (4,4,3)}

The number of ways for getting a value smaller than 5 = 4

{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}

The number of ways for getting a value smaller than 6  = 5

{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }

Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15

Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15

Answer: $96.15

Step-by-step explanation:

If you study an extra 10 hours per week, for 52 weeks, in total you studied 52 times 10 hours, this is:

52*10 h = 520h hours.

Now, for these 520 hours of hard work, you earn a scholarship valued (in total) at $50,000.

Then how much is worth each one of these 520 hours?

Let's take divide the value of the scholarship evenly into the 520 hours:

$50,000/520h = $96.15.

This means that the hourly return is $96.15

Answer:

You can run 5 miles in 30 minutes.

Step-by-step explanation:

y = [tex]\frac{1}{6}[/tex] x

y = [tex]\frac{1}{6}[/tex] (30)

y = 5 miles

You can run 5 miles in 30 minutes.

Answer:

its y=x+7

Step-by-step explanation:

Answer:

5.6864

Step-by-step explanation:

Find the variance for the given data. Round your answer to one more decimal place than the original data.

{12.4, 10.7, 14.5, 10.1, 16.5}

Divide total area by area of a gallon of paint:

3025 / 400 = 7.56

Because there is a decimal answer you need to round up tot he next whole number.

You would need 8 gallons of paint.

Answer:

Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)

Answer:

lxwxtor you can up it in the calculator

Answer:

Mean: 1096 megabytes

Standard deviation: 215 megabytes

Step-by-step explanation:

I got the answer on Khan Academy

Answer:

CPB

Step-by-step explanation:

acute is less than 90 degrees and right is 90 degrees and obtuse is over 90 degrees

Answer: The answer is CPB