The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?
1 answer:
Answer:
Step-by-step explanation:
<em>Hey there!</em>
Well using the given ratio,
3:4
And the area of the small shape we need to do,
72*72 = 5184
Now we can make the following fractions,
=
Now we can solve,
3*x = 3x
4 * 5184 = 20736
3x = 20736
20736 / 3
x = 6912
So the area of the bigger shape is 6912 units^2
<em>Hope this helps :)</em>
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Option 3:
m∠ABC = 66°
Solution:
Given and ABH is a transversal line.
m∠FAB = 48° and m∠ECB = 18°
m∠ECB = m∠HCB = 18°
<u>Property of parallel lines: </u>
<em>If two parallel lines cut by a transversal, then the alternate interior angles are equal.</em>
m∠FAB = m∠BHC
48° = m∠BHC
m∠BHC = 48°
<u>Exterior angle of a triangle theorem: </u>
<em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>
m∠ABC = m∠BHC + m∠HCB
m∠ABC = 48° + 18°
m∠ABC = 66°
Option 3 is the correct answer.
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of years since 2008,
g(x) ----> the percent of people 25 years and older who have completed at least high school
we know that
so
For x=15 years since 2008
substitute
That means
In the year 2023 (2008+15) the percent of people 25 and older completing at least high school will be 93.8%