help! provide the missing statement and reasons for the following proof:
Theorem: opposite sides of parallelograms are congruent
Given: Parallelogram ABCD with diagonal AC
Prove: AB ≅ CD and AD ≅ BC

Answer:

c = 50 degrees and d = 30 degrees

Answer:

C = 80 degrees

D = 30 degrees

Step-by-step explanation:

To find the angle of C you have to add the other angles of that triangle. The total angle of a triangle is 180 degrees.

50 + 30 = 80

Subtracted 80 from 180 to get the other missing angle next to angle c. That is 100. A straight line is 180 degrees so you get 80 degrees for angle C.

To find the angle of D you add angle C, which is 80, to the 100 degree angle and get 180. The total degrees for a four-sided shape is 360 degrees.   Then you try to figure out the other missing angle next to the 30-degree angle. A straight line is 180 degrees so subtract 30 from 180 to get the value of the missing angle.

180 - 30 = 150

Add the 180 degrees from earlier to 150 and you get 330. Subtract 330 from 360 and you get 30 degrees. Therefore the angle for d is 30 degrees.

Answer:

3200 meters

Step-by-step explanation:

because it is

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

The number of laps around the track to run for 3.1 miles is 12.5.

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

We have,

The track length = 400 meters

One lap = 400 meters.

We have,

3.1 miles

1 foot = 0.3048 meter ____ (1)

We know that,

[ 1 mile = 5280 foot ]

So,

3.1 miles = 3.1 x 5280 foot

3.1 miles = 16368 foot

From (1),

3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters

Now,

Since 400 meters is one slap.

The number of laps in 4988.9664:

Divide 4988.9664 by 400

= 4988.9664 / 400

= 12.47

Rounding to the nearest tenth.

= 12.5

Thus the number of laps around the track to run for 3.1 miles is 12.5.

Learn more about unit conversion here:

https://brainly.com/question/11543684

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Answer:

8 pencils

Step-by-step explanation:

if 2 red pencils are 25% of his number of pencils then multiply 2 by 4

because 25x4=100

so 2x4=8

Roman has 8 pencils in his bag

If 1/4 < x/7 < 1/3, then

7/4 < x < 7/3

1.75 < x < 2.333…

so that x = 2.

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

x - 5 + y + 6 = 4

Here, (a,b) = (5, -6) and r² = 16, with r = 4

Thus, The center is (5, -6) with a radius of r

-TheUnknownScientist 72

Answer:

12

Step-by-step explanation:

3 square root of 2 equals 12

Answer:

7 dozen cookies

Step-by-step explanation:

12 cookies are in a dozen, 84 / 2

As per question

We shall proceed in graphical way

And

Graph attached

Answer:

the answer would be a because i had this exact question on ed2020, i think i remember it being A.

Step-by-step explanation:

Answer:

Proton

Step-by-step explanation:

The charge on the proton and electron are exactly the same size but opposite. Neutrons have no charge. Since opposite charges attract, protons and electrons attract each other.

Hope this helps you luv!

The advantage of using a table to determine the equivalent ratio is that, it easier to determine the unknown ratio.

The advantage of using a graph to determine the equivalent ratio is that, it helps to determine the exact value of the unknown ratio.

The use of table to find equivalent ratio makes it easier to determine the unknown ratio. The unknown ratio can easily be determined using interpolation method, this method gives the approximate value of the unknown ratio.

The use of graph to find equivalent ratio helps to determine the exact value of the unknown ratio. This method gives the exact value of the unknown ratio.

The use of table is better because it minimizes error from tracing the values from the graph.

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Answer: opposite of -5 is positive 5 so it’s choice C

Answer:

it’s choice C

Step-by-step explanation: hope this helps bestie

Answer:

54

Step-by-step explanation:

45% * 120 = 54

Answer:

g = 12

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] (g - 3) = 3 ← multiply both sides by 3 to clear the fraction

g - 3 = 9 ( add 3 to both sides )

g = 12

51/x - 5i

this is the answerrrr

Answer:

Asa

Step-by-step explanation:

Because if u look left to right on one triangle there is a angle and in between they have a com on line and on the right theres another angle so There for it’s angle side angle

Answer:

31.81

Step-by-step explanation:

-6.1 * -4.1 = 25.01

+ 6.8 = 31.81

Answer:

31.8

Step-by-step explanation:

I will assume that

"-6.1(-4.1) +6.8="

means (-6.1)*(-4.1) +6.8=

(-6.1)*(-4.1) = 25

25 + 6.8 = 31.8

Answer:

you would of read 3 pages

Step-by-step explanation:

Answer:

Answer: y=1/3x-6

Answer:

a = 50

Step-by-step explanation:

From the introduction, you know that the area is 3a^2

You also know that it is 7500 square feet. \

So the two must be equal

3a^2 = 7500                    Divide by 3

a^2 = 7500/3

a^2 = 2500

The square root of 2500 is 50

sqrt(a^2) = sqrt(2500)

a = 50

Answer:

48

Step-by-step explanation:

let s be the snowman, g be the girl, and t be the christmas tree

2s+g=24

2t+2ts=132

3t+2g=26

subtract 2 times the first equation from the third one to get

3t-4s=-22

from the second equation we can deduce

2t(1+s)=132

t(1+s)=66

t=66/(1+s)

Substitute:

3(66)/(1+s)-4s=-22

3(66)/(1+s)=4s-22

3(66)=(4s-22)(1+s)

3(66)=-18s+4s^2-22

4s^2-18s-220=0

using the quadratic formula, we get s = 10, s = -5.5.

2(10)+g=24

g=4

2t(1+10)=132

2t=12

t=6

So 2s+t*g= 20+6*4=48

you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r

Answer: 55 1/4

Step-by-step explanation: If a squid is 42 3/4 feet below the surface of the ocean and a seagull is 12 1/2 feet above the surface of the ocean, you would need to add together 42 3/4 and 12 1/2, to get your answer which is 55 1/4.

42 3/4 + 12 1/2 = 55 1/4

Recall that a ⇒ b ≡ ¬a ∨ b.

• r ⇒ (p ∧ q) ≡ ¬r ∨ (p ∧ q)

In row C, q is false so p ∧ q false, and r is true so ¬r is false.

¬r ∨ (p ∧ q) ≡ false ∨ false ≡ false

• r ⇒ (p ∨ q) ≡ ¬r ∨ (p ∨ q) = p ∨ q ∨ ¬r

In each of rows A, C, and E, at least one of p or q is true, so

p ∨ q ∨ ¬r = true

• (q ∧ r) ⇒ p ≡ ¬(q ∧ r) ∨ p ≡ (¬q ∨ ¬ r) ∨ p = p ∨ ¬q ∨ ¬r

In row E, p is false and both q and r are true, so ¬q and ¬r are both false.

false ∨ false ∨ false = false

• (q ∨ r) ⇒ p ≡ ¬(q ∨ r) ∨ p ≡ (¬q ∧ ¬r) ∨ p

In row E, p is false and both q and r are true, so both ¬q and ¬r are false.

(¬q ∧ ¬r) ∨ p ≡ (false ∧ false) ∨ false ≡ false ∨ false ≡ false

Answer:

F(x) +1 = 3x+3

Step-by-step explanation:

F(x)+1= 3x+3

Answer:

Option 1

Step-by-step explanation:

To find the slope divide Mass (y) by Volume (x)

Answer:

They are not diffrent at all. may look diffrent from the question but lets look a little closer!

Step-by-step explanation:

2-3=1 and 3-2=1 both answers look the same because the equion is Both 3s in 3-2 and 2-3 looks no diffrent.  To be honest one is only backwords from the other one! But remeber to think BIG and look at those diffrentses.

Answer:

4.624e+15

Step-by-step explanation:

I think this is the correct answer may be wrong

Answer:

4.761e+15

Step-by-step explanation:

Answer:

Step-by-step explanation: