In a triangle, the exterior angle is twice of each of the interior opposite angles. The exterior angle is 120°.Find the measure of each interior opposite angle of the triangle.
Pls no Spam. 35 points is the prize

Answers

Answer 1

Answer:

Let X be other interior opposite angle of a △XYZ.

Let Y be the third angle.

Exterior angle is equal to sum of interior opposite angles.

120

o

=30

o

+∠X

⇒∠X=90

o

Now, Sum of interior angles of a triangle is 180

o

⇒90

o

+30

o

+∠Y=180

o

⇒∠Y=180

o

−120

o

=60

o

Step-by-step explanation:

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Related Questions

-0.8 as a fraction!
Please explain I have to go in like 5 minutes!

Answers

Answer:

4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.

There are 29 cars in a race. How many different ways can the cars finish in order in the top 4 positions?

Answers

Answer:

N=29.28.27=29484

(sorry if this didn't help)

Step-by-step explanation:

someone please help me on this anyone pls no link :(​

Answers

9514 1404 393

Answer:

  The correct answer is marked. (8·3)

Step-by-step explanation:

The order of operations requires that you start with by evaluating expressions in parentheses. Within parentheses, the order of operations applies, so you need to do multiplication before addition.

In this expression, the multiplication operation inside the parentheses is performed first. That is, you first compute 8·3.

_____

Additional comment

After that, you do the subtraction, to get ...

  11 ÷ (-12) +2⁴

Then the exponential term is evaluated, and you have ...

  11 ÷ (-12) +16

The division will result in a fraction, making it ...

  (-11/12) +16

And, finally, the addition gives you ...

  15 1/12

What is the average number of 20 14 28 18

Answers

Step-by-step explanation:

Avg = 20 + 14 + 28 + 18 /4

Avg = 80/4 = 20

Mr. quick bought new computer system. The regular price was 1,580 , but he got a 15% discount. How much did he actually pay?

Answers

Answer:

$1343

Step-by-step explanation:

The equation would be

x= 1580 (1-0.15)

x represents how much he actually pays.

1-0.15=0.85.

1580×0.85=1343

Solving an Inequality
Quick
Check
15
To solve the inequality
m/-7<14, what should be done to both sides?
O Divide both sides by 14.
Divide both sides by -7.
O Multiply both sides by 14.
O Multiply both sides by - 7

Answers

Answer:

D. Multiply both sides by -7

Step-by-step explanation:

So solving would look like this

m/-7 < 14

m > -2

Remember when multiplying by a negative the sign flips, hope that helps :)

Find the product using formula ... formula = ( a + b ) ( a - b ) a) 1.2 × 2.8​

Answers

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

Solution:

1.2×2.8

= (2-0.8)(2+0.8)

= (2)^2 - (0.8)^2

= 4 - 0.64

= 3.36

Answer:

3.36

Hope it helps.

Do comment if you have any query

DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box.​

Answers

Divide 296 by 16 you get 18.5 then add the 5.75 to get 24.25
So the answer is 24.25

The regular price of a ticket to the game will be $24.25  based on the given data.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given,

Total paid = $296

Number of tickets = 16

Cost per tickets = 296/16 = $18.5

This cost excludes the $5.75 saved due to the group.

Original price = $18.5 + $5.75 = $24.25

Hence "The regular price of a ticket to the game will be $24.25  based on the given data".

For more about the number system,

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There are 163 girls and 157 boys in school. 27 girls and 33 boys play soccer after school. What percentage of students play soccer after school?

Answers

Answer: The answer is to this math question is 18.75% of the students play the soccer after school.

Step-by-step explanation: Here are the following steps in order to convert the given fraction to percentage of the students play the soccer after school:

Step 1. First I add the total of the students in school and then added the total of the students play the soccer after school that looks like this: [tex]163+157=320[/tex] and [tex]27+33=60.[/tex]

Step 2. Using the online fraction to percentage calculator, first I find The Greatest Common Factor of 60 and 320 that looks like this: GCF(60,320) = 20.

Step 3. I can reduce this fraction by dividing both the numerator and denominator by 20 that looks like this: 60÷20/320÷20=[tex]\frac{3}{16}.[/tex]

Step 4. I know that [tex]\frac{3}{16}[/tex] is the same as 3÷16, then using The Long Division for 3 divided by 16 that gives us: 0.1875.

Step 5. I multiply the given decimal number by 100% in order to convert the fraction to percentage of the total students play the soccer after school that looks like this: 0.1875×100=18.75%.

I hope that my given answer with my given step-by-step explanation is very helpful to your own math question about how to find the percentage of the total students play the soccer after school, please mark me as brainliest and have a great P.A. Day and weekend! :D

Sincerely,

Jason Ta,

The ambitious of Brainly and the role of The TDSB and WHCI Student of the high school.

Henry can run 2.5 miles in 1/4 of an hour if he maintains the same pace how many miles can Henry run in 1 1/2 hours

Answers

Answer:

Since Henry runs 2.5 miles every 15 minutes, he runs 5 miles in 30 minutes, 7.5 miles in 45 minutes, and 10 miles every 60 minutes.

explanation: just trust me

Answer:

60 minutes

Step-by-step explanation:

I hope this would help

What is the y- intercept of a line that has a slope of 2 and passes through (-1,3)?

Answers

Answer:

y - intercept = 5

Step-by-step explanation:

Equation: y = mx + b

Input the given values

3 = -1(2) + b

3 = -2 + b

5 = b

-Chetan K

Which expression is equivalent to 45 divided by (2 - x)

Answers

Answer:

 45

---------

(2 - x)

Step-by-step explanation:

That would be:

 45

---------

(2 - x)

Also valid:  45/(2 - x)

Evaluate. 3⋅23+52−18÷6 need help ASAP

Answers

The required value of the given numerical expression is 118, as evaluated by including the PEMDAS rule in the expression.

What is algebra?

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

The Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction rule is abbreviated as PEMDAS. This rule is used to answer the problem correctly and properly.

The given numerical expression would be below as:

⇒ 3⋅23 + 52 − 18 ÷ 6

Using the PEMDAS rule in the above expression,

⇒ 3⋅23 + 52 − 18 ÷ 6

Apply the multiplication operation,

⇒ 69 + 52 − 18 ÷ 6

Apply the division operation,

⇒ 69 + 52 − 3

Apply the addition operation,

⇒ 121 − 3

Apply the subtraction operation to get

⇒ 118

Therefore, the evaluated value of the given expression would be 118.

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For each of the 4 walls of the house, John will need 9 large
planks of wood. If each plank of wood needs 8 pieces of nails
to be secured, how many nails does John need for each wall
of the house?

Answers

The answer is 72 because if each plank needs 8 nails and each wall have 9 planks you multiply 9 by 8 which is 72

If two fair dice are rolled, find the probability that the sum of the dice is 9, given that the sum is greater than 5.
The probability is

Answers

Answer:  2/13

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

Explanation:

Refer to the dice chart below. It represents all possible ways to roll two dice and sum up the face values.

According to the table, there are...

A = 1 copy of the sum "2"B = 2 copies of the sum "3"C = 3 copies of the sum "4"D = 4 copies of the sum "5"

There are A+B+C+D = 1+2+3+4 = 10 instances where we get a sum between 2 and 5. The table shows 6*6 = 36 sums total. This means there are 36-10 = 26 sums where they are between 6 and 12, aka "the sum being greater than 5".

Those 26 sums are what we focus on. Out of those 26 items, four of them are sums of "9".

The probability we want is therefore 4/26 = 2/13

The probability that the sum of the dice is 9, given that the sum is greater than 5 is 0.154

See attachment for the sample space of a roll of two dice.

From the attached sample space,

The number of sum greater than 5 is: 26The number of sum greater than 5 that is 9 is: 6

Represent the events that a sum is greater than 5 with A, and a sum is greater than 5 is 9 with B.

So, we have:

[tex]n(A) = 26[/tex]

[tex]n(A\ n\ B) = 4[/tex]

The probability that the sum of the dice is 9, given that the sum is greater than 5 is then calculated using:

[tex]Pr = \frac{n(A\ n\ B)}{n(A)}[/tex]

This gives

[tex]Pr = \frac{4}{26}[/tex]

[tex]Pr = 0.154[/tex]

Hence, the probability is 0.154

Read more about probability at:

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three-quarters the product of two numbers x and y

Answers

Answer:

xy=3/4

Step-by-step explanation:

since it says the "product"

it is x(y)

3/4 goes after the = sign

Write a variable expression for the length of the bottom black bar with a being the length of the orange bar: ​

Answers

Answer:

orange divide by 3?

Step-by-step explanation:

looking at the graph, it looks like orange is 3x the length of black,

so black will be Orange/3

đối với hai bài toán ước lượng cho u p

Answers

Chuong2: ƯỚC LƯỢNG THAM SỐ, môn thống kê ứng dụng

Can someone give more explanation

Answers

You just have to underline the word that connects two sentences .

for example: In number 2. Sophia ate a lot. She is still hungry. These are two sentences the word 'yet' connects two sentences. that is called conjunction.

1.= under line so

2.= under line yet

3.= under line but

4.= under line so

Anna can jump 35 times in one minute. This is
70% as many as Alexander can jump in one
minute. How many times can Alexander jump in
a minute?

Answers

Answer:

Alex can jump 50 times in one minute.

Step-by-step explanation:

1.) Start off by creating your equation.

It says that Anna can jump 35 times in one minute. It continues to say, that this value IS 70% as many as Alexander can jump in one minute. Thus, your equation should look like this:

x represents the number of jumps Alexander can do in one minute

35 = 0.70x

2.) Solve for x

35 = 0.70x

35/0.70 = x

50 = x

I hoped this helped. Good luck!

f (x)= -3x+10 and g (x) = x^2-7x
f(-5)=
g(2)=
f(4m)=

Answers

we have f (x)= -3x + 10

so f(-5)= (-3)(-5) +10 = 15 + 10 = 25

we have g (x) = x^2 - 7x

so g(2)= 2^2 - 7.2 = 4 - 14 = -10

we have f (x)= -3x + 10

so f(4m)= -3(4m)+10 = -12m + 10

ok done. Thank to me :>

A is the point with coordinate (2,10)
B is the point with coordinate (5,d)
The gradient of the line AB is 4
Work out the value of d

Answers

Answer:

d = 22

Step-by-step explanation:

Substitute given slope and A to the equation y = mx + b to find b

y= mx + b

10 = 4.2 +b

10 = 8 + b

10 - 8 = 8 - 8 + b

b = 2

Then we have y = 4x + 2 when we substitute b and m.

They give x value of point B, we can plug it in and find y value which is d in this question.

y = 4x + 2

y = 4.5 +2

y = 22

Therefore, d = 22


My Kotwica is baking a few cakes for the bake sale for her school. Each cake requires 2
cups of sugar. How many cakes cun she bake if she has 7 1/3 cups of sugar?

Answers

She can only bake 3 cakes count up… 2…4…6 there is not enough for the 40th cake so she will have 1 1/3 cups of sugar left over. I hope that helps.

let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q?

Answers

The value of P - Q as described in the question above is; P -Q = 2.

According to the question;

P = number of primes less than 100Q = number of primes less than 90

Since, we are required to determine what the value of P-Q is;

The value of P-Q is simply the number of primes between 90 and 100.

The prime numbers between 90 and 100 are; 91 and 97.

Therefore, P - Q = 2.

Read more;

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toby used 4 inches of tape to wrap a gift how much tape will he need to wrap 5 more of the same gift?

Answers

Answer:

20

Step-by-step explanation:

4*5 = 20%

4 friends share 5 pizzas equally how much pizza did each friend get

Answers

Answer:

10

Step-by-step explanation:

deoends how many pieces each pizza has. if it has 8 pieces each it would be 8×5=40

Select the interval where h(x)< 0.

Choose 1 answer:
(А) -3.5 (в) -2 < x < -1
(C) 2.5

Answers

Answer:

Step-by-step explanation:

C

domain for f(x) = -0.25(x − 4) 2 − 6

Answers

Answer:

The domain will be (-8,8), {x|x E R}

Step-by-step explanation:

The -8,8 has to be sideways on the right. Thats the answer.

the independent and dependent variables.
1) You are taking a road trip in a car and want to know how far you've traveled (read the odometer) at various times
during your trip.
A) does not describe a function
B) Independent variable, distance traveled; dependent variable, time
C) Independent variable, time; dependent variable, distance traveled
actont Writon statement that describes how one

Answers

Answer:

C) Independent variable, time; dependent variable, distance traveled

Explanation:

An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this).

Correct answer  is C :  Independent variable, time; dependent variable, distance traveled actont Writon statement that describes how one.

What is Independent variable?

The independent variable exists as the variable being regulated in the problem, and the dependent variable exists as the variable that varies because of this control.

It exists a variable that stands alone and isn't altered by the other variables you exist trying to measure.

An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this)

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I'm going to pick a number between 0 and 10 inclusive, multiply it by 5, add 7 to the result, multiply that sum by 2, then pick a number between 0 and 10 to add to my product, then subtract 6. My result is 45. What is the product of the two numbers I picked?

Answers

We want to find the two numbers you picked, we will find that the two numbers you picked are 3 and 7.

First, you pick a number between 0 and 10, let's say that the number is N.

Then multiply it by 5 and add 7, so we get:

(5*N + 7)

Now we multiply this by 2

2*(5*N + 7)

Now we add another number between 0 and 10, let's call it M.

We need to add that to the product, and then subtract 6, and that will be equal to 45.

2*(5*N + 7) + M - 6 = 45

Now let's simplify the expression:

2*(5*N + 7) + M = 45 + 6 = 51

10*N + 14 + M = 51

10*N + M = 51 - 14 = 37

10*N + M = 37

With this, we want to find the values of N and M, but remember that these two values belong to the interval [0, 10]

So the only two solutions are:

N = 3 and M = 7

such that:

10*3 + 7 = 30 + 7 = 37

So the two numbers you picked are 3 and 7.

If you want to learn more, you can read:

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