Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:
Now, using algebra, we can solve for x:
Plugging x back into the equation, we get:
Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
The GCF of 40 16 and 24 is 8
<h3>How to determine the GCF of 40 16 and 24?</h3>
The numbers are given as:
40 16 and 24
Start by listing out the factors of the numbers:
This is done as follows:
- The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
- The factors of 16 are: 1, 2, 4, 8, 16
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
Then the greatest common factor in the above list is 8.
Hence, the GCF of 40 16 and 24 is 8
Read more about GCF at:
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First, we need to understand the speed formula:
The time used = distance ÷ rate
In this case, the time needed would be:
5 1/5 ÷ 2 1/6
= (5×5+1)/5 ÷ (2×6+1)/6
=26/5 ÷ 13/6
When there is division in an equaiton, we can swap the nominator and denominator of the fraction amd change it to multiplication:
=26/5 × 6/13
= (13 x 2)/5 x 6/(13 x 1)
Factorize 26 and 13,we get:
=2/5 x 6/1
= 12/5 ft or 2.4 ft
Therefore the answer is 12/5ft or 2.4ft.
Hope it helps!
