The sum of the measures of angle A, angle B, and angle C is 180 degrees. The measure of angle C
is five times the measure of angle A. The measure of angle B is 40 degrees more than the
measure of angle A.

Write a system of equations that represents this situation

Answers

Answer 1

Answer:

A=20

Step-by-step explanation:

a+b+c=180

A+A+40+5A=180

7A+40=180

7A=140

/7

A=20

20+(20+40)+20*5=180

20+40=60

60+20=80

20*5-100

100+80=180

Answer 2

Answer:

A=20

Step-by-step explanation:

a+b+c=180

A+A+40+5A=180

7A=140

/7

A=20

20+(20+40)+20*5=180

20+40=60

60+20=80

20*5-100

100+80=180

Hope this helps! :)


Related Questions

Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to make a 20-pound mixture. If the mixture is to sell for $5 per pound, how many pounds of the $3 chocolate should be used?

10
8
12

If u know, please help :(

Answers

Answer:

8 is the correct answer i think I'm not really sure

quick quick, help plzz

Answers

Answer: The volume is 10 cm^3

Step-by-step explanation:

We know that each cube is a centimeter cube.

This means that if L is the length of each side of one of these cubes, then L = 1cm

And we know that the volume of a cube of side length L is:

V =L^3

Then the volume of each of the small cubes is:

V = (1 cm)^3 = 1 cm^3

Now we just need to count the number of cubes in the prism.

We can see that there is a "T" shape.

in the front part, we can see 5 cubes.

And there is another part in the back, where we also can assume that there are 5 cubes.

Then the total number of cubes in the prism is 10

And each of these cubes is 1 cm^3

Then the volume of the prism is 10 times 1 cm^3

The volume of the prism is:

V = 10*(1 cm^3) = 10 cm^3

PLEASE HELP DUE IN 2 HOURS!!!!!!!!!!!!!!

Answers

Answer:

17) A

18) B

Step-by-step explanation:

A skyrocket is launched from a 30–foot-high platform, with initial speed 300 ft/s. If the polynomial −16t2 + 300t + 30 gives the height that the rocket will rise in t seconds, how high will a rocket with a 2–second fuse rise? The rocket will rise feet.

Answers

Answer:

566 ft

Step-by-step explanation:

Given the polynomial equation

-16t² + 300t + 30 = 0

We're asked to find how high the rocket would rise in a 2 second fuse rise. This is a simple instruction that can be obtained by setting the unknown, t, in the equation to 2. Doing this, we have

-16 * 2² + 300 * 2 + 30

-16 * 4 + 600 + 30

-64 + 630 = 566 ft

Then, we can therefore conclude that the rocket will rise high up to a distance of 566 ft

Can someone plz help me

Answers

Answer:

31.42

Step-by-step explanation:

What is 3 divided by 5? A: 1 2/3 B:15 C:3/5 D:1/15

Answers

The answer is C : 3/5

Complete the inequality with >, <, or=.
13
<
62

Answers

is there anymore information i could
work from ?

Morgan earned $80 selling 32 paint brushes at a craft fair. What was the cost of each paintbrush sold? Explain

Answers

Answer:

$2.5

Step-by-step explanation:

You divide 80 by 32 = 2.5

Hope this helps

Mark brainliest please

Answer:

2.50

Step-by-step explanation:

80/32

=2.50

divide 80 by 32 to get the cost per paintbrush


Identify the likee term in the expression and simplify.
3x + 4y + 2x + x +y

Answers

Answer:

6x+5y

Step-by-step explanation:

3x+2x+x= 6x

4y+y=5y

Answer:

6x+5y

Step-by-step explanation:

3x+x+2x+4y+y

= 6x+5y

If the yellow image was reflected across the y-axis, what would the ordered pair be for point B?

Answers

Answer:

I believe (-7,3) is the answer

Step-by-step explanation:

Answer:

(-7,3)

count from the origin point to where underneath point b is and you have x but since it's on the positive side and you're flipping it make it negative

then count up from that point and you have y, since you're on the positive top half it stays positive

I need help very fast please

Answers

Answer:

the second chaise is the answer

the second answer option

Find the equation of a line that passes through the point (0,1) and has a gradient of 3.
Leave your answer in the form y = mx + c

Answers

Step-by-step explanation:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line

Please help me please

Answers

Answer:

200.96 ft²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = 3.14 × 8² = 3.14 × 64 = 200.96 ft²

HELP!!! Solve each equation:
8x=23; x = ?
112=2x; x = ?
5x=27; x = ?
14x=5; x= ?
15=23x; x = ?

Answers

Answer:

Step-by-step explanation:

Isolate the variable by itself

8x=23 divide each side by 8

x=23/8 (or 2.875 as decimal)

2x=112 divide each side by 2

x=56

5x=27 divide each side by 5

x=27/5 (or 5.4 as decimal)

14x=5 divide each side by 14

x=5/14

23x=15 divide each side by 23

x=15/23

A nursery owner buys 5 panes of glass to fix some damage to fix some damage to his greenhouse. The 5 panes cost ​$11.75. ​Unfortunately, he breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of​ glass?

Answers

Answer:

Cost of single pane = 11.75 / 5 = $2.35

Cost of 2 extra panes = 2*2.35 =$4. 7

Answer:

The cost for 2 more glass panes is $4.70

Step-by-step explanation:

1. Fist divide 11.75 by 5 to find out how much one pane costs, you should get 2.35.

2. Next multiply 2.35 by 2 to find out how much it is for 2 more glass panes.

Then you will get our answer ($4.70)

Q3. In a hydraulic lift, a 1400 N force is applied to a 0.5 m2 piston. Calculate the minimum surface area of the large piston to lift 5000 N.

Answers

Answer:

1.8m^2 approx

Step-by-step explanation:

Given data

P1= 1400N

A1=0.5m^2

P2=5000 N

A2=??

Let us apply the formula to calculate the Area A2

P1/A1= P2/A2

substitute

1400/0.5= 5000/A2

cross multiply

1400*A2= 5000*0.5

1400*A2= 2500

A2= 2500/1400

A2= 1.78

Hence the Area is 1.8m^2 approx

whar is the value of (4x² -10)
-------------
y

when x=5 and Y=6
A) -15
B)10
C)15
D)20​

Answers

The answer is C) 15

Question 11 ) Given the following histogram, which term can be used to describe the shape of the data?

Answers

the word to describe it would be skewed

The baseball team needs to collect 12,000 cans to raise money for new uniforms each uniform costs $50 they have collected 7,560 cans how many more cans do they need

Answers

Answer:

The answer is "4440"

Step-by-step explanation:

Total needed cans=12000

collected cans=7,560

Needed cans=?

Needed cans = Total needed cans - collected cans

                       [tex]= 12000 -7560\\\\ = 4,440[/tex]

From a standard deck of cards, a 5-card hand is dealt. Calculate the number of hands that contain 4 diamonds and 1 black king

Answers

Answer:

1430

Step-by-step explanation:

Given that a standard deck of cards is 52 cards, we have 13 Diamonds and we need 4 diamonds.

Hence, we have 13C4.

Also, we have 4 kings in a standard deck of cards, and in which we have 2 black kings but we need 1 king.

Hence we have a 2C1

Therefore:

13C4 * 2C1

=> 13! ÷ [4! (13 - 4)!] * 2! ÷ [1! (2-1)!]

=> 13! ÷ [4! (9)!]

=> (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13) ÷ [(1 x 2 x 3 x 4) (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9)]

=> (10 x 11 x 12 x 13) ÷ 24

=> (17160 ÷ 24) * (24 ÷ 6)

=> 715

2! ÷ [1! (2-1)!]

=> 2

Hence, we have 715 * 2

=> 1430

Hence, in this case, the correct answer to the question is 1430

Use mathematical induction to prove the statement is true for all positive integers n. 1^2 + 3^2 + 5^2 + ... + (2n-1)^2 = (n(2n-1)(2n+1))/3)

Answers

Answer:

The statement is true is for any [tex]n\in \mathbb{N}[/tex].

Step-by-step explanation:

First, we check the identity for [tex]n = 1[/tex]:

[tex](2\cdot 1 - 1)^{2} = \frac{2\cdot (2\cdot 1 - 1)\cdot (2\cdot 1 + 1)}{3}[/tex]

[tex]1 = \frac{1\cdot 1\cdot 3}{3}[/tex]

[tex]1 = 1[/tex]

The statement is true for [tex]n = 1[/tex].

Then, we have to check that identity is true for [tex]n = k+1[/tex], under the assumption that [tex]n = k[/tex] is true:

[tex](1^{2}+2^{2}+3^{2}+...+k^{2}) + [2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)}{3} +[2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot [2\cdot (k+1)-1]^{2}}{3} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot (2\cdot k +1)^{2} = (k+1)\cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]

[tex](2\cdot k +1)\cdot [k\cdot (2\cdot k -1)+3\cdot (2\cdot k +1)] = (k+1) \cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]

[tex]k\cdot (2\cdot k - 1)+3\cdot (2\cdot k +1) = (k + 1)\cdot (2\cdot k +3)[/tex]

[tex]2\cdot k^{2}+5\cdot k +3 = (k+1)\cdot (2\cdot k + 3)[/tex]

[tex](k+1)\cdot (2\cdot k + 3) = (k+1)\cdot (2\cdot k + 3)[/tex]

Therefore, the statement is true for any [tex]n\in \mathbb{N}[/tex].

notes i
Which graph represents the solution of -7(x + 3) S 28?
From N
whats
B.
From
10
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-6
-5
4
10
9
8
7
6
5
4
https://
From N
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kindad
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6
7
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--7(x + 3) s.
28
Write the inequality
Distributive Property
From)
-73-21
28
https://
https://
https://
From
Good a

Answers

Answer:

fufyfyfugwner546df6f6f6ff5f

The question is in the photo. Please answer with the correct answer.

Answers

Answer:9

Step-by-step explanation:

HURRY WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!
Summer deposited $5,800 into an account. She made no additional withdrawals or deposits. Summer earned 1.35% annual simple interest on the money in the account. What was the balance in her account at the end of 3.5 years? Enter the amount in the account in the box. $

Answers

Answer:

5800 x 0.0135 = 78.3

78.3 x 3 =234.9

78.3/2 = 39.15

234.9 + 39.15 = 274.05

Your answer is 274.05

Step-by-step explanation:

Hope this helps!

A recipe requires 1/4 cup of foil for every 2/3 cup of water. How much oil (in cups) is needed per cup of water?

Answers

Answer:

3/4

Step-by-step explanation:

Solve for X

Will give brainiest

Answers

Answer:

x = -3

Step-by-step explanation:

55 + x + 74 + 54 = 180

x + 183 = 180

x = -3

Brian rolls a fair dice 12 times. How many times would Brian expect to roll a number greater than 4?

Answers

Brian is expected to roll a number greater than 4, 4 times

How to determine the expected row?

In a fair die, we have:

Faces = 6

Faces greater than 4 = 2 i.e. 5 and 6

So, the probability to roll a number greater than 4 is:

p = 2/6

When the dice is rolled 12 times, the expected value is:

Expected = 2/6 * 12

Evaluate

Expected = 4

Hence, Brian is expected to roll a number greater than 4, 4 times

Read more about expected values at:

https://brainly.com/question/15858152

#SPJ1

Please please help help me with two questions!!

Answers

Answer:

A. True

B. False

Step-by-step explanation:

1: 30 + 10 = 40 and 8 x 5 = 40 (both match)

2: 75 - 25 = 50 and 5 x 9 = 49 (Doesn't match)

1
Suppose that cand d vary inversely and that d = 2/9 (2 over 9) when c = 5.
Write a function that models the inverse variation and find d when c = 8.

Answers

Answer:

d = 10/72

Step-by-step explanation:

c and d vary inversely

c = k/d

Where,

k = constant of proportionality

d = 2/9 when c = 5

c = k/d

5 = k ÷ 2/9

5 = k × 9/2

5 = 9k/2

Cross product

5*2 = 9k

10 = 9k

k = 10/9

c = k/d

c = 10/9 ÷ d

c = 10/9 × 1/d

c = 10/9d

find d when c = 8

c = 10/9d

8 = 10/9d

Cross product

8*9d = 10

72d = 10

d = 10/72

dose anyone have r o b l o x

Answers

Answer:

i do my username is EenyMenyOreo

Step-by-step explanation:

Answer:

Yes... lol

Step-by-step explanation:

Why?

Add me: isaaclikesomone

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