<h3><em>Hey there today we will solve your problem,</em></h3>
Number 1
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<h3>Definitions</h3>
- Vertical angles - <em>either of two angles lying on opposite sides of two intersecting lines.</em>
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- Linear Pair - <em>A linear pair is a pair of adjacent angles formed when two lines intersect.</em>
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Now we can solve Number 1, there is one pair of Vertical angles being ∠5 and ∠3
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Number 2
Since we know the definition of a Linear Pair we can solve this problem also, the only Linear Pair that we can choose out the ones give to us is ∠4 and ∠3, because they are adjacent.
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- ∠5 and ∠3
2. ∠4 and ∠3
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
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
Hence,
One pair of supplementary angles is ∠5 and ∠6
Answer:
Below.
Step-by-step explanation:
a. Φ^2 − Φ − 1 = 0
Φ2 − Φ = 1
(Φ - 0.5)^2 - 0.25 = 1
(Φ - 0.5)^2 = 1.25
Φ - 0.5 = √(1.25) (We only take the positive root).
Φ = 0.5 + √(1.25)
b. I used Completing the square.
c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.
Answer:
3 * 10^3 in scientific notation.
3,000 in standard notation.
Step-by-step explanation:
We divide:
3.9 *10^5 / 1.3 * 10^2
= ( 3.9/1.3) * (10^5 / 10^2)
= 3 * 10(5-2)
= 3 * 10^3.
This equals 3 * 1,000 = 3000.
