Answer:

Step-by-step explanation:
The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;

Substitute,

Cross products,


Inverse operations,

Answer:
h = 16
Step-by-step explanation:
By applying the Pythagorean Theorem, the slant height is given by the formula:

34 = 





Sub in 4 as x
3(4) - 29
= -17
Answer:
-38 - 12x < 200
Step-by-step explanation:
Given,
The original elevation = -38 feet,
Also, the explorer starts moving at a rate of negative 12 feet per minute.
So, the distance covered by explorer after x minutes = -12x feet,
Thus, the final elevation = original elevation + distance covered by explorer
= -38 - 12x
According to the question,
final elevation < -200 feet
⇒ -38 - 12x < 200
Which is the required inequality.
40 times 3/3+5= Niamh’s amount = 40x3/8 = 15 pencils
40 times 5/3+5= Jack’s amount =
40x5/8 = 25 pencils