Answer:
Therefore, 512/128 simplified to lowest terms is 4/1.
Step-by-step explanation:
Reduce 512/128 to lowest terms
The simplest form of
512
128
is
4
1
.
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 512 and 128 is 128
Divide both the numerator and denominator by the GCD
512 ÷ 128
128 ÷ 128
Reduced fraction:
4
1
Therefore, 512/128 simplified to lowest terms is 4/1.
Answer:
39 ft^2
Step-by-step explanation:
Find the area of the triangle and subtract the area of the square.
area of triangle = bh/2
area of square = s^2
shaded area = bh/2 - s^2
shaded area = (20 ft)(16 ft)/2 - (11 ft)^2
shaded area = 160 ft^2 - 121 ft^2
shaded area = 39 ft^2
In An arithmetic sequence will add or subtract the same thing each time to find the next term. In this case we start with 10 and need to get to 40 on the 6th term. This is a difference of 30 that needs to be divided by 5 open spaces. You are adding 6 each time.
10, 16, 22, 28, 34, 40, _,_,_,_, 70, _,_,_,_,100,_,_,_, 124.
Another way to do this would be to look at the 5th term and multiply it by 4 to get to the 20th term. 34 x 4 = 124.
Since this equation is already in standard form, there is no need to convert it. Standard form is Ax + By = C. In this equation, 7 = A, 3 = B, and 10 = C. From standard form, Ax + By = C equals negative A over B.
7x + 3y = 10
↓

Then you'd simplify.

The slope cannot be simplified any more, so this would be the final answer.
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<em>- Marlon Nunez</em>
∠BDC and ∠AED are right angles, is a piece of additional information is appropriate to prove △ CEA ~ △ CDB
Triangle AEC is shown. Line segment B, D is drawn near point C to form triangle BDC.
<h3> What are Similar triangles?</h3>
Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.
Image is attached below,
as shown in figure
∡ACE = ∡BCD ( common angle )
∡AED = ∡BDC ( since AE and BD are perpendicular to same line EC and make right angles as E and C)
∡EAC =- ∡DBC ( corresponding angles because AE and BD are parallel lines)
Thus, △CEA ~ △CDB , because of the two perpendiculars AE and BD.
Learn more about similar triangles here:
brainly.com/question/25882965
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