Answer:

Step-by-step explanation:
We have been given a graph of similar triangles. We are asked to find the value of x.
Since we know that corresponding sides of similar triangles are always in same proportion, so we will use proportions to find the length of x.

Upon cross multiplying our equation we will get,
Upon distributing 4 we will get,

Let us subtract 12 from both sides of our equation.

Upon dividing both sides of our equation by 4 we will get,
Therefore, the value of x will be 12.
Answer:
20°
Step-by-step explanation:
A triangle = 180°
∴ 180° -120°-40°
=20°
Answer:

Step-by-step explanation:
1: find the perpendicular gradient - this is the negative reciprocal of the original gradient:

2: Substitute in the coordinate to find the value of c:

3: Put it all together:

Answer: the original price of the shorts was $25
Step-by-step explanation:
Let x represent the original price of the shorts.
The store is having a sale in which all items are reduced by 20%. This means that the amount of discount on the shorts is
20/100 × x = 0.2x
The price of the shorts would be
x - 0.2x = 0.8x
If the sales tax is 5%, then the amount of sales tax charged is
5/100 × 0.8x = 0.04x
The final cost of the shorts would be
0.8x + 0.04x = 0.84x
Including tax, Jennifer paid $21 for a pair of shorts. This means that
0.84x = 21
x = 21/0.84
x = 25
Answer:
2pi?
Step-by-step explanation:
Pi is an irrational number so I guess double of pi would be irrational too.
2pi would be something like 6.28318531...