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3 years ago

if two angles are supplementary an one of them is 30 degrees what is the measurement of the second angle

2 answers:

6 0

Supplementary angles always add up to 180. So you need to subtract 30 from 180. Which would give you 150. So 150 is your answer!

Vika [28.1K]3 years ago

6 0

150 degrees. Supplementary angles are two angles that, when added together, equal 180 degrees. Simply subtract 30 from 180 and you'll be left with 150, the measurement of the other angle.

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Is it possible to create two triangles with congruent side lengths but different angle measurements?

kotykmax [81]

Yes. If the side lengths are different, you can end up with different angle measurements (example: SSA~ property. You can have two sides that are the same but you can make two different triangles with those side lengths and that one angle.)

8 0

2 years ago

A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3296 tickets overall. It has s

rodikova [14]

Answer:

1022 of $10 tickets, 1326 of $20 tickets, 948 of VIP $30 tickets

Step-by-step explanation:

We can set-up a system of equations to find the number of each kind of ticket. We know there are the cheap tickets c, the medium tickets m and the VIP tickets v. Since 3296 tickets were purchased, then c+m+v=3296.

We also know that 304 more medium priced tickets have been sold then cheap tickets. We write 304+c=m.

Lastly, we know that a total of $65,180 was sold. We write 10c+20m+30v=65,180.

We will solve by substituting one equation into the other. We substitute m=304+c into c+m+v=3296. Simplify and isolate the variable v.

c+m+v=3296

c+(304+c)+v=3296

c+304+c+v=3296

2c+304-304+v=3296-304

2c-2c+v=2992-2c

v=2992-2c

We will now substitute this into the remaining equation with our first substitution.

10c+20m+30v=65,180

10c+20(304+c)+30(2992-2c)=65,180

10c+6080+20c+89760-60c=65180

-30c+95840=65180

-30c+95840-95840=65180-95840

-30c=-30660

c=1022

This means 1,022 tickets purchased were $10 tickets. We substitute this equation back into m=304+c to find m.

m=304+1022

m=1326

This means 1,326 were $20 tickets.

Lastly we know 948 VIP tickets were bought because 1022+1326+948=3296

7 0

3 years ago

Tickets to a sporting event cost $125 each. What's a reasonable domain and range.

djverab [1.8K]

The domain and the range of a function is the set of input and output values of the function.

The domain is the set of all whole numbers.

The range is the set of all whole numbers.

Let the number of tickets be x, and the revenue be y.

So, the revenue function will be:

y = 125

The number of tickets cannot be less than 0.

So, the domain of the revenue function is

domain=0,∞

The above means that, the domain is the set of all whole numbers

Similarly, the revenue cannot be less than 0.

So, the range of the revenue function is

range = 0,∞

The above means that, the range is also the set of all whole numbers (in multiples of 125).

to know more about range and domain;

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3 0

1 year ago

The greatest common factor of 3m^2n+12mn^2 is

FromTheMoon [43]

$3m^2n=3mn\cdot m\\\\12mn^2=3mn\cdot4n\\\\GCF(3m^2n;\ 12mn^2)=3mn\\\\3m^2n+12mn^2=3mn(m+4n)$

6 0

3 years ago

A triangle has a base of 4 inches and a high of 6 inches

Finger [1]

Answer:

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

here b = 4 and h = 6, thus

A = $\frac{1}{2}$ × 4 × 6 = 2 × 6 = 12 in² → B

5 0

3 years ago