Answer:
y = 8
x = 8√5
z = 4√5
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (y), x is a projection (16), and y is the other projection (4):
y 4
---- = -----
16 y
Cross multiply:
y² = 16 (4)
y² = 64
√y² = √64
y = 8
To find x and z, use the Pythagorean Theorem:
16² + y² = x²
256 + 8² = x²
256 + 64 = x²
320 = x²
√320 = √x²
√64√5 = √x²
8√5 = x
x = 8√5
4² + y² = z²
16 + 64 = z²
80 = z²
√80 = √z²
√16√5 = √z²
4√5 = z
z = 4√5
Answer:
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Answer:
∠1 and ∠2
∠3 and ∠4
∠5 and ∠6
Step-by-step explanation:
The question figure is shown below.
To find the angles which are supplementary angles.
Solution:
Supplementary angles are a pair of angles that lie on a straight line and hence the sum of the angle = 180°
In the figure shown below, there are three pairs of angles that lie on a straight line.
The pairs are:
∠1 and ∠2
∠3 and ∠4
∠5 and ∠6
Since all the three pairs of angles lie on a straight line, hence the pairs are called linear pairs or supplementary angles.
Answer:
11/24
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator. Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1. The two fractions now have like denominators so you can subtract the numerators.
This fraction cannot be reduced.
Therefore the answer is 11/24
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