In triangle ABC, Angle A is twice the size of angle B, angle C measures 20 degrees less than angle A, find the measurements of a,b, and c

Answers

Answer 1

I assume a, b, and c are the measures of the angles A, B, and C themselves. (If you meant lengths of the sides opposite these angles, this would be impossible.)

The interior angles to any triangle sum to 180° in measure, so

A + B + C = 180°

Now,

• A is twice the size of B, so A = 2B or B = A/2

• C measures 20° less than A, so C = A - 20°

Substitute these into the first equation and solve for A :

A + A/2 + (A - 20°) = 180°

5/2 A - 20° = 180°

5/2 A = 200°

A = 80°

Solve for B and C :

B = 80°/2

B = 40°

C = 80° - 20°

C = 60°


Related Questions

The quotient of 105 and the sum
of one and four.

Answers

Answer:

21

Step-by-step explanation:

105/(1+4)

= 105/5

= 21.

please solve 2x+1<1 or x+5>8 for me please xx <3​

Answers

Answer:

x=0

Step-by-step explanation:

Subtract 1 from both sides

2x+1-1<1-1

Simplify the arithmetic

2x<1-1

Simplify the arithmetic

2x<0

Isolate the X

X=0

hi please help i’ll give brain

Answers

Answer:

9

Step-by-step explanation:

Answer:

The GCF is going to be 9

Step-by-step explanation:

When finding the GCF, you want to do prime factorization of each number.

18's prime factorization is, 2 × 3 × 3, which equals 18

36's prime factorization is 2 × 2 × 3 × 3, which equals 36

45's prime factorization is 5 × 3 × 3, which equals 45

Now all you have to do is find the factors common in each one, which is 2 three's. You then multiply 3 × 3 = 9. That is your answer

2.
In the number below, what place value is the digit 2 in?
6.3529
b) Thousandths
a) Tens
d) Ones
c) Hundredths

Answers

Answer:

the digit two is in tens... so a) is the answer

Aaron has 15 books to put on shelves. He wants to put the same number of books on each shelf. Which of the following lists shows all of the choices for how many books to put on each shelf?

Answers

Answer:

3 books on each shelf

5 books on each shelf

Step-by-step explanation:

5(x-4)=4(x-5) solve the equation

Answers

Answer:

5x-20 =4x-20

5x-4x = -20+20

x= 0

simplify the polynomial. answer in standard form

Answers

Answer :

y^2 - 4y + 3

Step-by-step explanation:

You have to distribute.

Solve y = x + 4 for x
(9th-grade Algebra 1)

Answers

Answer:

[tex]x=y-4[/tex]

Step-by-step explanation:

Solve for x by simplifying two sides of the equation then isolating the variable.

Hope this helps!

Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.​

Answers

Lets US population be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{x}{10}=32[/tex]

[tex]\\ \sf\longmapsto x=32(10)[/tex]

[tex]\\ \sf\longmapsto x=320million [/tex]

1 million has 6zeros 320million has 7zeros
Question:-

Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.

Solution:-

Given,

Population of Canada = 32 million (1/10 of that of the USA)

=> Let the population of the USA be 'x'.

Now,

→ x/10 + 32 (million)

→ x = 32 × 10

→ x = 320 million.

(The number of zeros in 1 million is 6, so the number of zeros in 320 million will be 7)

Answer:-

320000000 or 320 million.

Find the missing angle and x

Answers

the correct answer of this question is 32 I mean the value of X is 32

A triangular traffic sign has a height of 45 cm. It is 75 cm long at its base. What is the area of the sign?

Answers

Answer:

Step-by-step explanation:

Hello!

(75* 45)/2 => 1687, 5 cm²

[tex]\text{A}=\frac{1}{2}\cdot\text{a}\cdot\text{h}\\\\\text{a}\longrightarrow\text{base}\\\\\text{h}\longrightarrow\text{height}\\\\-----------\\\\\text{a}=75 \ \text{cm}\\\\\text{h}=45 \ \text{cm}\\\\\text{A}=\frac{1}{2}\cdot75 \ \text{cm}\cdot45 \ \text{cm}=37,5 \ \text{cm}\cdot45 \ \text{cm}=\boxed{1687,5 \ \text{cm}^2}[/tex]

Factor this expression
3x^2-11x-20

Answers

Answer:

(3x-4)(x+5)

Step-by-step explanation: First set up a diamond problem. Find what two numbers add to 60 since 3*20 and add to -11. That would be 15 and -4. Then draw a 2x2 box, and put in 3x^2 the -20, 15x and -4x. Then find the factors. Hope that helped! :)

Answer:

(3x+4)(x-5)

Step-by-step explanation:

PLEASE HELP.I WILL MARK YOU BRAINLIEST

A baseball team won 16 games and lost 11. At this rate, how many games will it win in a 162-game schedule?

Answers

Answer:  96

==========================================================

Explanation:

The team won 16 games and lost 11 so far. At this point in the season, they played 16+11 = 27 games total. Their win rate is 16/27.

Set this equal to x/162 which is the win rate for winning x games out of 162 played over the entire season.

Solve for x.

x/162 = 16/27

27x = 162*16 ... cross multiplication

27x = 2592

x = 2592/27

x = 96

The team would win 96 games if it kept the same winning rate going.

Notice that 16/27 = 0.5926 = 59.26% and how 96/162 = 0.5926 = 59.26% as well (both are approximate). This helps confirm we have the correct answer.

-------------------------

Here's another slightly longer way to solve. If you prefer the first method above, then ignore this section.

w = number of games won over the entire 162 game season

162-w = number of games lost over the entire season

w/(162-w) = win to loss ratio

16/11 = win to loss ratio after winning 16 games and losing 11

Setting those last two expressions equal to each other and solving for w gets us...

w/(162-w) = 16/11

11w = 16(162-w)

11w = 2592-16w

11w+16w = 2592

27w = 2592 ... this hopefully looks a bit familiar from before

w = 2592/27

w = 96 games won

Perform the indicated operations. Write the answer in standard form, a+bi.
(9 + 2i)(9 - 2i)

Answers

Answer:

It can't be expressed in that form

Step-by-step explanation:

From difference of two squares:

[tex]{ \boxed{(a + b)(a - b) = ( {a}^{2} - {b}^{2} )}}[/tex]

a » 9

b » 2i

[tex](9 + 2i)(9 - 2i) = \{ {(9)}^{2} - {(2i)}^{2} \} \\ \\ = (81 - 4 {i}^{2} )[/tex]

but i² is -1 [ complex numbers ]

[tex] = \{81 - 4( - 1) \} \\ = 81 + 4 \\ = 85[/tex]

Answer:

[tex](9 + 2i)(9 - 2i) \: \\ this \: can \: be \: wrtten \: as \: \\ {9}^{2} - {2i}^{2} = 81 - 4 \times - 1 \\ = 81 + 4 = 85 \\ then \: 85 + 0i \\ thank \: you[/tex]

if oranges cost 2$ and each and you buy 27 oranges how much do u neec to spend

Answers

Answer:

$54 Dollars

Step-by-step explanation:

just multiply 27 by 2 and you get $54

$54. 27 (the amount of oranges) multiplied by $2 (the price) is $54.

help asap pls thanks sm

Answers

Answer: 18

Step-by-step explanation:

Please help me with this, I need this by tomorrow!

Answers

Answer:

i don't know because i am not from yours school

Put the following numbers from greatest to least greatest 1 17 51 -4 -25

Answers

Answer:

51, 17, 1, -4, -25

Step-by-step explanation:

Hope this helps

Determine the value of each of the following expressions. a.
2.2
×
1.3
2.2×1.3 b. 39.5 + 8.74, c. 33.4 − 2.11, d.
470.4
÷
5.6
470.4÷5.6

Answers

a=2.86

b=48.24

c=31.29

d=84

_______is the process of paying off a debt with regular fixed payments.

Answers

AMORTIZATION is the process of paying off a debt with regular fixed payments

i need help please!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5^3

Step-by-step explanation:

5 x 5^2

Multiply 5 and 5^2

5 x 5^2 = 5^3

Answer:

Ayden you should have just asked mrs martinez

Step-by-step explanation:

5 * 5^2

5*5=25*5= 125

ANSWER THIS PLEASE NO PHOTO ANSWERS!!

Answers

Point B. Sqrt of 113 is close to 10.6 and point b is the closest to that value
The answer is Point B! The square root of 113 is approximately 10.6

[tex]\frac{3a-1}{8} = \frac{a+9}{4}[/tex]

Answers

Answer:

a = 19

Step-by-step explanation:

[tex] \frac{3a - 1}{8} = \frac{a + 9}{4} [/tex]

[tex]4(3a - 1) = 8(a + 9)[/tex]

[tex]12a - 4 = 8a + 72[/tex]

[tex]12a - 8a = 72 + 4[/tex]

[tex]4a = 76[/tex]

[tex]a = 76 \div 4[/tex]

[tex]a = 19[/tex]

Find the perimeter. Simplify your answer.
7z+5
22-1
32-9
62+3

Answers

(7z + 5) + (2z - 1) + (6z + 3) + (3z - 9) =

= 7z + 5 + 2z - 1 + 6z + 3 + 3z - 9 =

= 7z + 2z + 6z + 3z + 5 - 1 + 3 - 9 = 18z - 2

Multiply 1 over 2 multiplied by negative 1 over 4 . Which of the following is correct?

a
negative 1 over 8

b
negative 1 over 9

c
negative 1 over 10

d
negative 1 over 16

Answers

Answer:

im pretty sure its A

Step-by-step explanation

The answer is A
Since anytime you multiply a negative by a positive the answer is going to be negative.
When multiplying fractions you multiply across so 1*1 = 1 and 2*4 = 8 so the answer is 1/8

if ad and pm are medians of two similar triangles abc and pqr such that ad:pm=4:9, then calculate ar. triangle abc/ar. triangle pqr​

Answers

Answer:

4/9

Step-by-step explanation:

ad(base)/2 = abc

4x(4y)/2 = 4xy/2 = 2xy

pm(base)/2 = pqr

9x*9y/2 = 9xy/2 = 4.5xy

2xy/4.5 xy = 2/4.5 = 4/9

I'm not really sure, hopefully it works. I suck at geometry.

Bill weights 120 pounds and is gaining 10 pounds each month. Phil weights 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Bill and Phil to have the same weight? (Please provide the equation and the answer.)

Answers

The answer should be 3 months

Answer:

it will take 5 months

Step-by-step explanation:

In the triangle above, Eight-fifteenths represents which ratio?


A right triangle is shown. Side A B has a length of 15, side A C is 8, and side C B is 17. Angle A is a right angle.

Answers

The answer is AC/AB or tanB.

tangent is opposite over adjacent, and the opposite of angle B is 8 and the adjacent is 15, which gives you 8/15.

Answer:

a

Step-by-step explanation:

help me please i appreciate it

Answers

Answer:

17.5

plsss mark brainliestt

Step-by-step explanation:

10÷4=2.5

7×2.5=17.5

Answer:

4/7=10/x

or, 4×x=10×7

or, 4x=70

or, x = 70/4

or, x = 17.5

Thus, x is 17.5

bob pays his gym 99 per month and can attend 12 group classes. each additional class costs 5. if his bill for the month was 124, how many extra classes did he attend

Answers

he attended 5 extra for a total of 17 that month
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