A. X = 2
what you do is divide each side by the coefficient of x (3.2) to get rid of it on the left, and simplify the right: 2.
If triangles AMN and ABC are similar, then
AM/AB = AN/AC
or
AM/(AM + MB) = AN/(AN + NC)
Check if this is true:
AM/AB = 21/(21 + 9) = 21/30 = 7/10
AN/AC = 14/(14 + 6) = 14/20 = 7/10
The angle at vertex A is common to both of the triangles.
Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.
Answer:
The correct answer is last option 78.5%
Step-by-step explanation:
Points to remember
Area of circle = πr²
Where r is the radius of circle
Area of square = a²
Where 'a' is the side length of square
<u>To find the area of circle</u>
Here r = 10 cinches
Area = πr²
= 3.14 * 10²
= 3.14 * 100 = 314
<u>To find the area of square</u>
Here a = 20 inches
Area = a²
= 20²
= 400
<u>To find the probability percentage</u>
Probability = area of circle/Area of square
= (314/400)*100
78.5 %
The depth of the joist that was drilled by Freddy is 5 1/3 inches.
From the information given, we are informed that Freddy drilled into a piece of wood and a joist to attach them and that be drilled 4 inches and the wood was 1 1/3 inches thick.
Therefore, to get the depth that was drilled, we'll need to add the fractions given together. This will be:
= 4 + 1 1/3
= 5 1/3 inches.
Therefore, the depth of the joist that was drilled by Freddy is 5 1/3 inches.
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