Answer:
- The angle ∠2 = 4x = 4(36°) = 144°
Step-by-step explanation:
We know that when two lines meet or intersect, we get a linear pair of angles.
Linear pairs are basically two adjacent angles that form a line.
The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.
We are given that <1 and <2 forms a linear pair, and
m∠1 = 4m∠2
It means the angle ∠1 is 4 times the measure of angle ∠2.
Let the angle ∠1 be = x
As the angle 1 is 4 times the measure of angle ∠2, so
The angle 2 will be = 4x
As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so
x + 4x = 180
5x = 180
divide both sides by 5
5x/5 = 180/5
x = 36°
Therefore,
- The angle ∠2 = 4x = 4(36°) = 144°
Answer: 0.2
Step-by-step explanation:
Is there a ratio? bc that doesnt look like the full question
Answer:
The cost of 1 gallon is $2.5
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Step-by-step explanation:
Given
Cost of 14 gallons = $35
Required
Determine the cost of 1 gallon
From the given parameters, we have:
Divide both sides by 14
Hence,
<em>The cost of 1 gallon is $2.5</em>
Answer:
<em>The sum of 4 consecutive odd number is 80</em>
<em>Let X be the first of these numbers</em>
<em>Then the next odd number is X+2</em>
<em>The third is X+4The fourth is X+6</em>
<em>All of these add up to 80</em>
<em>(X) + (X+2) + (X+4) + (X+6) = 80</em>
<em>Using the commutative and associative laws, let's transform this equation into</em>
<em>(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80</em>
<em>Subtract 12 from both sides of the equation gives4X = 68</em>
<em>Divide both sides by 4 gives</em>
<em>X = 17</em>
<em>Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!</em>
