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:

2x = 36°

8x = 144°

Step-by-step explanation:

8x + 2x = 180°

10x = 180°

x = 180/10

x = 18

then:

2x = 2*18 = 36°

8x = 18*8 = 144°

The value of x from the given diagram is 18. then each angle will be 2x = 36° and 8x = 144°

Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on cartesian plane with axes of those variables, give a straight line.

Also, the triangle ACD, the sum of the interior angle of the triangle is 180 degrees;

8x + 2x = 180°

10x = 180°

x = 180/10

x = 18

Then:

2x = 2*18 = 36°

8x = 18*8 = 144°

Hence the value of x from the given diagram is 18.

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Answer:

10⁻⁵

Step-by-step explanation:

1 / 100000

1 / 10⁵

10⁻⁵

After solving the given fraction, the value of power of 10 will be equal to 10⁻⁵.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information in the question,

The given fraction is,

1/10000

The value, 100000 is in the  denumerator so, the power should be in negative.

So, it can be written as,

1 × 10⁻⁵.

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Answer:

-68 < -63 < -47 < -44 < -34

Answer:

50

Step-by-step explanation:

For x number of newspapers, their earnings are:

D = 5 + 0.04x

J = 2 + 0.10x

5 + 0.04x = 2 + 0.10x

3 = 0.06x

x = 50

Answer:

y=6x+p

Step-by-step explanation:

Answer:

6p= c bc each pound cost $6 so if u have p pounds, 6p would equal to the cost or c

Answer: C

Step-by-step explanation:

The answer is “ Her answer should be 2 miles because there are 5,280 feet in a mile“

(Aka: C/3.)

If you don’t belive me that’s okay, but it’s right, I just finished the pre-unit test . Hope you do good and keep those grades up!!

Comment Done if you read this

The area of the triangular yard is 7000 ft².

The entire area enclosed by three sides of a triangle is the area of it.

Given,

The base of the triangle is 200 feet and the height of the triangle is 70 feet.

Therefore, the area of the triangle

= (1/2) × base of the triangle × height of the triangle =  (1/2) × 200 × 70 ft² = 7000 ft².

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Answer:

the coordinates are -2, -1.

Step-by-step explanation:

Answer:

(-2,-2)

Step-by-step explanation:

Answer:

4.727

Step-by-step explanation:

An easy way to think of something being divided by a fraction is by turning the fraction into a decimal. In this case, it's 5 1/2, which is the same as 5.5. So, you can just calculate 26 / 5.5, by hand, or on a calculator, and the answer is 4.727.

Hope this helps!

Hey there!☺

[tex]Answer:\boxed{4\frac{8}{11}}[/tex]

[tex]Explanation:[/tex]

[tex]26/5\frac{1}{2}[/tex]

Divide both fractions.

[tex]26/5\frac{1}{2}=\frac{52}{11}[/tex]

52/11 needs to be simplified so let's simplify it.

[tex]\frac{52}{11}=4\frac{8}{11}[/tex]

[tex]4\frac{8}{11}[/tex] is our final answer.

Hope this helps!

Corinne do 4 pages homework in one hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Corinne take 3 hours to do 12 pages of homework.

Since, We have;

Corinne take 3 hours to do 12 pages of homework.

Hence, In 1 hour, Number of pages = 12 / 3

                                                       = 4

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Answer:

12x-21

Step-by-step explanation:

3/4(16x-27-1)

3/4(16x-28)

12x-21

Answer:

y = 2x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

Slope m = 2

Random point (-1, -4)

y = 2x + b

Step 2: Find b

-4 = 2(-1) + b

-4 = -2 + b

-2 = b

Step 3: Rewrite linear equation

y = 2x - 2

4/5

subtract 1/5 from 5/5.

Answer:

4/5

Step-by-step explanation:

if he has a 1/5 of winning, the left over chances he has has to be towards losing because we already know his chance of winning, and there is no in between, so the left over is 4/5

Answer:

-25

Step-by-step explanation:

-9r - 7

-9(2) - 7

-18 - 7

-25

Answer:

He became king of the Franks and then conquered other lands.

Step-by-step explanation:

Charlemagne became king of the Franks after the death of his father, Pepin the Short.

He inherited a sizeable portion of land that included what is now France, the Low Countries, and parts of Germany.

Charlemange launched several military campaigns throughout his long reign (he ruled for 46 years), and was highly successful in most of them. He conquered Northern and Central Italy, what is now Switzerland and Austria, and the majority of modern day Germany.

He was crowned Holy Roman Emperor in the year 800 by Pope Leo III. In exchange for this, Charlemange ceded a section of Central Italy to the Pople: the Papal States, which would be under direct control of the Roman Catholic Church until the Napoleonic Era.

Answer:

b

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

x-4=9

+4  +4

x=13

Answer:

13

Step-by-step explanation:

Step 1:

x - 4 = 9

Step 2:

x = 9 + 4

Answer:

x = 13

Hope This Helps :)

Answer:

2x+y=8

x=3 y=2

2x+y=4

x=1.5 y=1

Step-by-step explanation:

I dont have a step by step answer but i hope this helps!

Answer:

Step-by-step explanation:

18+(-4)= 18 - 4 = 14

-5 + (-18) = - 5 - 18 = - 23  

9 + (-18) = 9 - 18 = - 9  

-18 + 18 = 0

Answer:

3.5 centimeters

Step-by-step explanation:

The total length of segment AC is 7.2 cm. The second segment AB, is 3.7 cm. If you subtract 3.7 from 7.2 you will get 3.5 cm.

Answer:

√3

Step-by-step explanation:

(2√3)²+x²=(√15)²

(4*3)+x²=15

12+x²=15

x²=15-12

x²=3

x=√3

Answer:

[tex]\frac{5}{14}[/tex]

Step-by-step explanation:

It's important to note here that fractions are just another way of representing division.

Therefore, [tex]\frac{\frac{1}{4}}{\frac{7}{10}}[/tex] is the same thing as [tex]\frac{1}{4} \div \frac{7}{10}[/tex].

To divide two fractions, we multiply by the reciprocal.

[tex]\frac{1}{4} \cdot \frac{10}{7}[/tex]

We can now multiply the numerators and denominators.

[tex]1\cdot 10 = 10\\7 \cdot 4 = 28\\\\\frac{10}{28}[/tex]

We can simplify this fraction by dividing both the numerator and denominator by 2.

[tex]10\div 2 = 5\\28 \div 2 = 14[/tex]

So, [tex]\frac{5}{14}[/tex].

Hope this helped!

Answer:

.

Step-by-step explanation:

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]3x+5=14[/tex]

Subtract 5 from both sides:

[tex]3x+5-5=14-5[/tex]

[tex]3x=9[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{9}{3}[/tex]

[tex]x=3[/tex]

Answer:

35/128

Step-by-step explanation:

7 coins are tossed, each coin has two possibilities therefore total number of possibilities are 2^7 = 128. The possibilities of obtaining 4 heads and 3 tails is 7C4 = 7C3 = 35. Therefore the probability of obtaining 4 heads and 3 tails 35/128.

Answer:

3 and 4

Step-by-step explanation:

Use a calculator:

√15 ≈ 3.87298...

or

since you know √9 = 3 and √16 = 4

and √15 is between √9 and √16 you can say √15 is between 3 and 4

Answer:

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Step-by-step explanation:

Given

x = a - 2by² ( add 2by² to both sides )

x + 2by² = a ( subtract x from both sides )

2by² = a - x ( divide both sides by 2b )

y² = [tex]\frac{a-x}{2b}[/tex] ( take the square root of both sides )

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Answer:

[tex]y = a - x \di2b[/tex]

Step-by-step explanation:

[tex]2b {y }^{2} = a - x[/tex]

[tex]2b {y}^{2} \div 2b = a - x \ \div 2b[/tex]

[tex] {y}^{2} = a - x \div 2b[/tex]

[tex]y = \sqrt{a - x \div 2b} [/tex]

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{(3x + 4)(x + 8)}[/tex]

[tex]\text{Factor the polynomial:}\\3x^{2} +28x +32\\\\\text{Find two numbers that multiply into 32 and sum up to 28.}\\\text{Take into account the leading coefficient of 3:}\\\\\text{The numbers 4 and 8 work; arrange them so that they sum up to 28:}\\\\(3x + 4)(x + 8)[/tex]

Answer:

a² + b² = 68

a3 + b3 = 520

Step-by-step explanation:

Given :

a + b = 10 (1)

ab = 16 (2)

A. Find a² + b²

(a + b)² = a² + 2ab + b² (3)

Substitutite the values of (1) and (2) into (3)

(10)² = a² + 2(16) + b²

100 = a² + 32 + b²

Subtract 32 from both sides

100 - 32 = a² + b²

a² + b² = 68

B. a^3 + b^3

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

(10)^3 = a^3 + b^3 + 3*16(10)

1000 = a^3 + b^3 + 480

a^3 + b^3 = 1000 - 480

a3 + b3 = 520