The United States Congress contains 435 representatives and 100 senators. You want to make groups that each have the same number of representatives and senators. What is the greatest number of groups you can make?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

The greatest common factor of 435 and 100 is 5, so if you make 5 groups, each group will have 87 representatives and 20 senators.


Related Questions

Given: Quadrilateral ABCD is a kite. Prove: ΔAED ≅ ΔCED Kite A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point E. It is given that quadrilateral ABCD is a kite. We know that AD ≅ CD by the definition of . By the kite diagonal theorem, AC is to BD This means that angles AED and CED are right angles. We also see that ED ≅ ED by the property. Therefore, we have that ΔAED ≅ ΔCED by .

Answers

Answer:

1. kite 2. perpendiclular 3. reflective 4. HL

Step-by-step explanation:

I hope this helps :)

Answer:

We know that AD ≅ CD by the definition of kite. By the kite diagonal theorem, AC is perpendicular to BD. This means that angles AED and CED are right angles. We also see that ED ≅ ED by the reflexive property. Therefore, we have that ΔAED ≅ ΔCED by HL.

Step-by-step explanation:

We know that AD ≅ CD by the definition of kite.

- adjacent sides in a kite are congruent

By the kite diagonal theorem, AC is perpendicular to BD.

- the kite diagonal theorem states that diagonals of a kite form right angles because they are perpendicular to each other.

We also see that ED ≅ ED by the reflexive property.

- any side or angle congruent to itself is identified by the reflexive property

Therefore, we have that ΔAED ≅ ΔCED by HL.

- the triangles formed are all right triangles, so we can they that the two triangles are congruent to each other by the Hypotenuse Leg theorem.

True or false? When comparing the results of multiplying polynomials using the horizontal method and the vertical method, the vertical method is more accurate than the horizontal method.

Answers

Answer:  FALSE

Step-by-step explanation;

I need help with this.
I need to find both A and B, I’m just lost at this point

Answers

They both look to be at 100 degrees

solve using the box method

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Just SIMPLIFY the given EQUATION or find the DIFFERENCE}\\\large\text{OF the SQUARES... Here is the formula: }\mathsf{\bf a^2 - b^2 =(a+b)(a-b)}[/tex]

[tex]\large\text{Equation: }\mathsf{\dfrac{(4x^2-9)}{(2x + 3)}}[/tex]

[tex]\large\text{Rewrite }\mathsf{ 4x^9 - 9}\large\text{ in the formation of }\mathsf{a^2 - b^2}\large\text{ whereas}\mathsf{a = 2x \ \&\ b = 3.}[/tex]

[tex]\large\text{Equation: }\mathsf{\dfrac{(2x)^2-3^2}{2x + 3}}[/tex]

[tex]\large\text{This is where you try to do the DIFFERENCE OF its SQUARES}[/tex]

[tex]\mathsf{\dfrac{(2x + 3)(2x - 3)}{2x + 3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{(2x + 3)\ - (2x +3)}\large\text{ because it gives you 0}[/tex]

[tex]\large\text{This leaves us with }\mathsf{\bf 2x - 3}\large\text{ as your POSSIBLE ANSWER}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 2x - 3}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\large\text{Note: There is/are many ways to solve for equations like this.... this was just}\\\large\text{the quickest and easiest way to understand it!}[/tex]

Consider -152 ÷ 19. Which statements are correct?
A) -152/19 = -8
B) 19/ -152 = -8
C) -152 ÷ 19 is rational
D) -152 ÷ 19 us irrational
E) -152 ÷ 19 = -152/19

Answers

Answer: A, C, E

Explanation:
-152/19 = 8
-8 = -8 ✅
-152 ÷ 19 = -8 the number -8 can be written as a fraction so it’s rational
-152 ÷ 19 = -152/19
-8 = -8 ✅

there is the screenshot

Answers

Answer:

11 Tenths

Step-by-step explanation:

Withouth the tenths, the bottom number would be 1.05. So we need 1.10 or 11 more. 10 tenths is one whole plus the 1 tenth we need to put in the tenths place.

I KNOW THIS ISNT MATH BUT PLEASE HELP! Which statements describe the
mountains region? Check all that apply

. It is the least populated region in the state

Its largest metropolitan area surrounds Asheville

It has a fall line running through the region's center

It has become a big industry for Christmas trees

It draws many people for outdoor adventures

It has large urban areas where most people live​

Answers

Answer:

lots of stuff

Step-by-step explanation:

snow lava and stone frfr

Answer:

I think A and D and E and maybe B

Step-by-step explanation:

(im not sure if they r right though)

Pls helpppppppppl!!!!

Answers

Answer:

I dont really understand it but I think it's the first one cuz that's the only one that makes sense to me hope it helped tho:))))))))

Answer:

Multiply the amount of milk by 4

Step-by-step explanation:

4x1=4

4x2=8

4x3=12

and it keeps going

hope this helps

Please do 37,39,41 kskdkjdnd sorry please and ty!!!!

Answers

37: 1 yard
39: to
41: 21000 mm

The ratio of the side length of a square to the square's perimeter is always 1 to 4. Peter drew a square with a perimeter of 28 inches.
What is the side length of the square Peter drew?

Answers

Answer:

7 inches

Step-by-step explanation:

Answer:

perimeter of square = 4x

= 4x = 28/4

x = 7 inches

Which of the following is an example of a linear monomial?
Group of answer choices

3x+2

4x2

x2−5

−5x

Answers

B and c. The other two are not monomials

Answer:

-5x, monomial comes from the word "mono" means "one"

please explain how to do this

Answers

Answer:

27.4

Step-by-step explanation:

Use your calculator for this.

Remember, use SOH CAH TOA

We have an opposite (O) and an adjacent side (A), so we use SINE

sin(41)=18/X......following?

Now, solve for X by multiplying both sides by X......sin(41)(X)=18

Then, divide both sides by sin(41).

Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!

Answer:

x = 11.8

Step-by-step explanation:

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ sine 41 = [tex]\frac{18}{x}[/tex]

⇒ 0.656 = [tex]\frac{18}{x}[/tex]

multiply 18 on both sides:

⇒ 0.656 x 18 = [tex]\frac{18}{x}[/tex] x 18

⇒ 11.808 = x

round to the nearest tenth:

⇒ 11.808 = 11.8

if a point a device line segment a b of length 10 centimetre internally In the ratio 2:3 then find the length of a d ​

Answers

Given:

Consider a point d divides line segment ab of length 10 centimetre internally in the ratio 2:3.

To find:

The length of ad.

Solution:

If a point d divides line segment ab internally in the ratio 2:3, then the length of ad and db are 2x and 3x receptively.

We know that,

[tex]ab=ad+db[/tex]

Length of the segment ab is 10 cm.

[tex]10=2x+3x[/tex]

[tex]10=5x[/tex]

Divide both sides by 5.

[tex]2=x[/tex]

Now,

[tex]ad=2x[/tex]

[tex]ad=2(2)[/tex]

[tex]ad=4[/tex]

Therefore, the length of segment ad is 4 centimetres.

.grill: $85, 15% mark up

Answers

Answer:

$12.75

Step-by-step explanation:

total: 85*(1+15%)=$97.75

marked up: 97.75-85=$12.75

brillianst!!!!!!

In the triangle below, m ∠ 1 = 39 ° and m ∠ 4 = 85 ° . What is m ∠ 2 ?

Answers

Answer:

one sec

Step-by-step explanation:

Which best describes the slope of the given line

A. Negative
B. Positive
C. Vertical
D. Zero

Answers

D. because the line is flat and undefined making it 0.
D plz giv me a thank you

SOS PLEASE HELP
write the equation for this line

Answers

If this is for slope-intercept, the equation is: y = 3x + 1

To find the slope, you would find the rise over run ( [tex]\frac{rise}{run}[/tex] ). So, you would start where the graph intersect at the y-axis, which is 1. You would go up 3 times, and right 1 time. So, [tex]\frac{3}{1}[/tex], or 3, would be your slope. To find the y-intercept, you would need to find where the graph intersects at the y-axis, which is 1, so it would be your y-intercept. Plug them into the y = mx + b formula and the answer is y = 3x + 1.

If you have any further questions, please reach out to me :)

i need 4 more brainliest's

Answers

Answer:

What??

Step-by-step explanation:

Could I have a branliest?? You don't have to give it to me if you don't want to.

Complete steps 2 and 3 to solve the system of equations.

y = 4x – 5,

y = –3

Answers

Answer:

Point form: ([tex]\frac{1}{2}[/tex],-3)

Equation form: x=1/2  y=-3

Step-by-step explanation:

hope it helps ;)

In your own words, describe what the word "congruent" means.

Answers

Answer:

heres a sentence using it

Eating five chocolate bars is not congruent with your plan for losing weight.

Triangles are considered congruent when they have the same angles.

it means

having the same size and shape

Answer:

Congruent

Step-by-step explanation:

Multiple objects the work well together.

Hope this helps (:

helpppppppppppppp hutrryyyyyy for BRIANLESSSTTTTT 10 points !!!!!!!!!

Answers

Answer:

32

Step-by-step explanation:

32 hope that helps as

1. Find the volume of each cylinder ( use = 3.14 )

Answers

Answer:

1. volume = 1243.44ft^3

2. volume = 54259.2ft^3

HELP NOW WITH EXPONENTS

Answers

PLZ MARK BRAINLIEST! :)

Answer:

[tex]7^{12}[/tex]

Step-by-step explanation:

When you divide two numbers that have exponents and have the same base, just subtract the exponents. In this case, 7 is the base of both the dividend and the divisor. So, simply subtract 14 - 2 to get 12. The final answer is [tex]7^{12}[/tex].

Hope this helps! :)

160 bananas;20%decrease

Answers

Answer:

128 banana's... I would work it all out for u but the teacher just came in my room and had a go

Answer: 128

Step-by-step explanation:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

20% = 20/100 = 20 ÷ 100 = 0.2.

100% = 100/100 = 100 ÷ 100 = 1.

PLEASE BEED HELP ASAP​

Answers

Answer:

1. Complementary Angles.

2. x=60°

Step-by-step explanation:

Part 1:

*Note: A complementary angle is when the sum of two angles equal 90 degrees. A Supplementary angle is when the sum of 2 angles equals 180 degrees.

In this instance, the 2 angles equal 90 degrees, as indicarted by the box on the angle. Therefore, the the angles are complentary.

Part 2:

1. Since we know that the sum of the two angles (x-30 and x) is 90 degrees, we can write an equation which says: (x-30) + x=90.

2. Then we'd simplify the equation by adding the like variables, and adding 30 to both sides:

2x=120

3. Now we will divide both sides by 2

[tex]\frac{2}{2} x=\frac{120}{2} \\x=60[/tex]

4. As a result, we get x=60, now label your answer with the degree sign, and enjoy your answer.

help me with this please

Answers

Answer:

.............

Step-by-step explanation:

2y-4x=-18 slope intercept form

Answers

Answer:

y=−2x−9

Step-by-step explanation:

Hello,

Solving Process:
1. Isolate y
2. Make coefficient of y equal 1

Steps:
1. (2y - 4x) / 2 = 18 / 2
2. y - 4x = 9
3. y = 4x + 9 <<<<

Good luck to you!

pls help will give brainliest when i can ​

Answers

Angle 1 is corresponding to angle 5.
This is where one angle has the same relative position as another angle.

In triangle ABC, the sum of the measures of angle A and angle B is 57°. What is the measure of and C?

Answers

Answer:

I think it's 123 if not sorry

Step-by-step explanation:

all you need to do is 180 - 57 to get your answer

Write an equation in standard form for the line.
Slope is 3, and (1, 6) is on the line.

Answers

Answer:

Step-by-step explanation:

m = 3

(1 , 6)

y - y1 = m(x -x1)

y - 6 = 3(x - 1)

y - 6 = 3x - 3

    y = 3x - 3 + 6

    y = 3x +3

Standard form:

-3x + y - 3 = 0

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