Given: \overline{BD} \cong \overline{BE}, BD ≅ BE , \overline{DE} DE bisects \overline{AB} AB and \overline{DE} DE bisects \overline{BC}. BC . Prove: \overline{AB} \cong \overline{BC} AB ≅ BC .

Answer:

We can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.

Step-by-step explanation:

We know that the diagonals of any parallelogram bisect each other, each diagonal cutting the other into two equal parts.

In other words, according to Parallelogram Diagonals Theorem Converse, the figure will be a parallelogram if the diagonals of the quadrilateral figure cut (bisect) each other. It is basically the

From the given Parallelogram, it is clear that the diagonals bisect each other, each diagonal cutting the other into two equal parts with the length 3 units.

Therefore, we can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.

Answer:

The Super Sleuths did not find all 100 ounces of gold, they only found 92 2/3 ounces, so they have 7 1/3 more ounces of gold to find left.

Step-by-step explanation:

Pirate hid 100 ounces of gold.

1. 19 1/2 ounces of gold was found.

2. 26 2/3 more ounces of gold was found.

3. 5 1/6 more ounces of gold was found.

4. 48 1/3 more ounces of gold was found.

First, we need to add up all of the ounces of gold that was found.

12 1/2 + 26 2/3 = 39 1/6

5 1/6 + 48 1/3 = 53 1/2

53 1/2 + 39 1/6 = 92 2/3

100 - 92 2/3 = 7 1/3

Answer

Step by step explanation

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Answer:

31.2 Dollars.

Step-by-step explanation:

Answer:

23.4

Step-by-step explanation:

Answer:

The answer is 6x -7y = 21

Step-by-step explanation:

Im taking the diagnostic

Answer:

The y-values from top to bottom are;

3, 5 , 7, 9, 11, 13, 15

Step-by-step explanation:

Here, we want to fill out the given table

Let us have an equation linking x and y

From the question, we can have this as;

y = 5 + 2x

When x = -1

y = 5 + 2(-1) = 3

when x = 0

y = 5 + 2(0) = 5

when x = 1

we simply add 2 to the previous

= 5 + 2 = 7

when x = 2

= 7 + 2 = 9

when x = 3

= 9 + 2 = 11

when x = 4

= 11 + 2 = 13

when x = 5

y = 13 + 2 = 15

Answer: [tex]\frac{1}{4} +\frac{1}{2}[/tex]

Step-by-step explanation:

given data:

fraction = [tex]\frac{3}{4}[/tex]

Solution:

se can make use of the fraction [tex]\frac{1}{4} + \frac{1}{2}[/tex] to get same answer as shown bellow.

[tex]=\frac{1}{4} + \frac{1}{2}[/tex]

first we look for the lcm of the denominators.

[tex]= \frac{2+1}{4}[/tex]

[tex]=\frac{3}{4}[/tex]

.

Answer:

256

Step-by-step explanation:

Answer:

a) The percent of their games the hockey team won is 60%

b) The percent of their games the hockey team lost is 37% to the nearest percent

c) The percent of their games the hockey team tied is 3% to the nearest percent

Step-by-step explanation:

In any game, there are 3 situations

The sum of the three situations is the total number of playing that game

∵ The hockey team won 72 out of 120 games and tied 4

∴ The number of winning games = 72

∴ The number of tying games = 4

∴ The number of total games = 120

→ Find the number of losing games

∵ Win + ty + lose = total games

∴ 72 + 4 + lose = 120

∴ 76 + lose = 120

→ Subtract 76 from both sides

∴ lose = 44

∴ The number of losing games = 44

Now let answer the questions

a)

∵ P%(win) = (winning ÷ total) × 100%

∴ P%(win) = (72 ÷ 120) × 100%

∴ P%(win) = 60%

The percent of their games the hockey team won is 60%

b)

∵ P%(lose) = (losing ÷ total) × 100%

∴ P%(lose) = (44 ÷ 120) × 100%

∴ P%(lose) = 36.66667%  = 37% to the nearest percent

The percent of their games the hockey team lost is 37% to the nearest percent

c)

∵ P%(tie) = (tying ÷ total) × 100%

∴ P%(tie) = (4 ÷ 120) × 100%

∴ P%(tie) = 3.333333%  = 3% to the nearest percent

The percent of their games the hockey team tied is 3% to the nearest percent

Answer:

8

Step-by-step explanation:

20-16=4       4*2=8

Answer:

7a - 28

Step-by-step explanation:

multiply a and -4 by 7

7a - 28

Answer:480

Step-by-step explanation: (pemdas) hope this helps

Answer:

The coordinates of the new vertices are:

K'(4,4), L'(0,- 2), and M'(-6,4).

Step-by-step explanation:

In order to dilate a shape by 2, you can simply multiply the coordinates of the orignal triangle each by 2 to find the new coordinates of the new vertices.

K(2,2), L(0,- 1), and M(-3,2)

K'(2*2,2*2), L'(0*2,- 1*2), and M'(-3*2,2*2).

Now become...

K'(4,4), L'(0,- 2), and M'(-6,4).

You can now graph ∆K'L'M' using these coordinates.

Answer: 5%

Step-by-step explanation:

Answer:

P = (18a+10b+13) cm

Step-by-step explanation:

Given that,

A triangle has the lengths of (10a+9) cm, (8a—3) cm and (10b+7) cm.

We need to find an expression that represents the perimeter of the triangle.

Perimeter = sum of all sides

P = (10a+9) + (8a-3) + (10b+7)

Taking like terms together,

P = (10a+8a)+10b+(9-3+7)

= 18a+10b+13

Hence, the epresssion for the perimeter is (18a+10b+13) cm.

Answer:

B) -1 7/8, -1 1/2, -1 1/4, -1

Step-by-step explanation

Answer:

36.1

Step-by-step explanation:

The speed of the train in china is 267.4 miles per hour.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A train in France can travel at a speed of 217.4 miles per hour.

A train in China can travel 1.23 times this speed to obtain the speed of the train in china we have to multiply how many times it is faster by the speed of the train in France which is,

= (217.4× 1.23) miles per hour.

= 267.4 miles per hour.

learn more about the unitary method here :

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Answer:

22222222222222222by5y-step explanation:

Hey there! I'm happy to help!

Let's look at each spot in the line from left to right and see how many choices they are.

In spot 1, we have 4 choices. Let's say that we choose the student who doesn't want to stand next to to the other student. This means that in the next slot, there are only 2 choices because he cannot stand by the other student. Now when we move to spot number three, there are only two choices left, and then there is 1.

4×2×2×1=16

So, there are 16 different ways the students can stand in a straight line if two of the students refuse to stand next to each other.

Have a wonderful day! :D

Answer:

16

Step-by-step explanation:

Answer:

First = 49/4

Second = 539

Step-by-step explanation:

The dot product is 539, and the scalar projection of a onto b is 49/4

Vector is a quantity that has both magnitude and direction.

The scalar projection of a onto b is given by

[tex]\dfrac {a.b}{|b|}[/tex]

a.b = |a| |b| cos[tex]\rm \theta[/tex]

a.b = 21 *44 *(7/12)

a.b = 539

The dot product of a and b is 539.

The scalar projection is

= 539 / 44

= 49/4

Therefore, the dot product is 539, and the scalar projection of a onto b is 49/4.

To know more about Vector

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Answer:

13) 140

14)180

15)100

Step-by-step explanation:

13) a line is 180 and dgf is 80, the other one is 40, so 120 -180 is 60. add hat to 80, and you get 140

14) a line is 180

15) a line is 180 bgd is 40, dgf is 80, so egb is 60, add 60 and 40, and you get 100

Hey there!

- Factor pair basically 2 factors that you multiply the given numbers to each other to get a given product (answer)

“Factors of 72”

- So we have to find MULTIPLES that gives you 72

Answers ⬇️

▸ 1 • 72 = 72

(SAME thing with 72 • 1 = 72)

▸ 2 • 36 = 72

(SAME with 36 • 2 = 72)

▸ 3 • 24 = 72

(SAME with 24 • 3 = 72)

▸ 4 • 18 = 72

(SAME with 18 • 4 = 72

▸ 6 • 12 = 72

(SAME with 12 • 6 = 72)

▸ 8 • 9 = 72

(SAME with 9 • 8 = 72)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

30

Step-by-step explanation:

From the given information; we are to estimate 323 ÷ 5

The first thing to do is to round each integer to the nearest whole tens

i.e 323 is approximated to 300

5 is approximated to 10

∴

The estimated quotient of 300 ÷ 10

= 30

From part A, there is no equation that shows us how to use multiplication to estimate the quotient.

Answer:

12 minutes

Step-by-step explanation:

85/17=5

60/5=

12

Answer:

Step-by-step explanation:

410 ft i think

Answer: 75.6

rounded= 76 ft

Step-by-step explanation:

Tan60= x/400 = 692.8

tan62.5= 4/400 =  768.4

x= 75.6ft