Answer:
Step-by-step explanation:
Area of a trapezium is the average of the parallel sides times the distance between them.
If we subtract 15 units from each of the parallel sides, we end up with a triangle that has two sides of 8 units and one of 10 units. One of the 8 unit sides is the base and we need to find the height h which is perpendicular to this base.
Let the base be split into two segments, call one A, the other will be 8 - A
From Pythagoras.
10² - A² = h² = 8² - (8 - A)²
10² - A² = 8² - (8 - A)²
100 - A² = 64 - (64 - 16A + A²)
100 - A² = 64 - 64 + 16A - A²
100 = 16A
A = 6.25
h = √(10² - 6.25²)
h = √60.9375
A = ½(15 + 23)√60.9375
A = 148.31870246... ≈ 148.3 cm²
Answer:
x=60
Step-by-step explanation:
The angles here are alternate interior angles, this means that they are congruent. Congruent means that they are equal to each other, so to solve just set them equal! (Your variable is x so you're solving for that)
Hope this helps! :)
Question:
2/3 + y - 1/9 = 7/9
y = ?
Solution:
Find A Common Denominator For 2/3 Which Is 6/9
6/9 + 2/9 = 8/9
8/9 - 1/9 = 7/9
6/9 + 2/9 - 1/9 = 7/9
Final Answer:
y = 2/9
Hope This Helps!
-EliteAnswers-
In Mathematics, braces ( {} )are used to symbolize
the group of mathematical terms, commonly
as the outmost measurement in a difficult expression. Braces are used in roster
notation. Wherein within the braces there are a set of elements, which are
separated by commas after each element. The set may be a set of whole numbers,
or a set of natural numbers, or even a set of integers. While in Interval
Notations, brackets and parentheses are used to indicate, whether the endpoints
are left out or contained within.
