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3 years ago

3. The drama club sold 240 tickets to the play. They sold 20 more

Mathematics

2 answers:

masya89 [10]3 years ago

7 0

Answer:

100 adult tickets and 140 student tickets

Step-by-step explanation:

AVprozaik [17]3 years ago

4 0

Answer:

Sold student tickets: 130, sold adult tickets: 110

Step-by-step explanation:

Let s = number of student tickets sold,

Let a = number of adult tickets sold.

$s = 20+a$ (It is given that there were 20 more student tickets sold than adult tickets)

$s+a=240$ (It is given that the total tickets sold is 240)

$20+a+a = 240$

$2a=220$

$a = 110$

We can use substitution to find the number of student tickets:

$s+a = 240$

$s + 110 = 240$

$s = 130$

∴110 adult tickets and 130 student tickets were sold.

I hope this helps :)

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Give 1 pair of Vertical and 1 pair of Supplementary angles

mojhsa [17]

Solution:

Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.

These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:

Notice that together they make a straight angle.

Hence,

From the image

The following pairs form vertical angles

$\begin{gathered} \angle1=\angle3(vertical\text{ angles)} \\ \angle2=\angle4(vertical\text{ angles)} \\ \angle5=\angle7(vertical\text{ angles)} \\ \angle6=\angle6(vertical\text{ angles)} \end{gathered}$

Hence,

One pair of the vertical angles is ∠1 and ∠3

Part B:

Two angles are said to be supplementary when they ad together to give 180°

Hence,

From the image,

The following pairs are supplementary angles

$\begin{gathered} \angle5+\angle6=180^0(supplementary\text{ angles)} \\ \angle5+\angle8=180^0(supplementary\text{ angles)} \\ \angle7+\angle8=180^0(supplementary\text{ angles)} \\ \angle6+\angle7=180^0(supplementary\text{ angles)} \\ \angle1+\angle2=180^0(supplementary\text{ angles)} \\ \angle1+\angle4=180^0(supplementary\text{ angles)} \\ \angle2+\angle3=180^0(supplementary\text{ angles)} \\ \angle3+\angle4=180^0(supplementary\text{ angles)} \end{gathered}$

Hence,

One pair of supplementary angles is ∠5 and ∠6

8 0

1 year ago

When Theresa walks at a pace of 88 steps per minute, it takes her 90 minutes to walk the trail. If she alters her pace to 33 ste

jarptica [38.1K]

Answer: 33 minutes

Step-by-step explanation:

Hi to answer this question we have to write a proportion

Speed rate = 88 step per minute

Time = 90 minutes

So, the proportion is 88 step/min / 90 minutes