The measure of EF from the given diagram is 6 units
<h3>Secant secant theorem</h3>
The theorem states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external parts is the same as the product of the other external part.
Mathematically according to the given figure;
4(4+2x) = 5(5+x)
Expand
16 + 8x = 25 + 5x
Collect the like terms
8x - 5x = 25 - 16
3x = 9
Divide both sides by 3
3x/3=. 9/3
x = 3
Find EF
EF = 2x
EF = 2(3) = 6
Hence the measure of EF from the given diagram is 6 units
Learn more on secant theorem here: brainly.com/question/10732273
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Answer:
12.3 feet of chain is your answer.
Answer: Five cats ate 1 and a quarter of cat food.
Step-by-step explanation
Given:-
Cat food ate by one cat = 1/4 cup
Cat food ate by five cats =![5\times \frac{1}{4} \text{ [Multiplying both sides with 5 ]}\\\\=\frac{5}{4}=\frac{4+1}{4}=\frac{4}{4}+\frac{1}{4}=1+\frac{1}{4}](https://tex.z-dn.net/?f=5%5Ctimes%20%5Cfrac%7B1%7D%7B4%7D%20%5Ctext%7B%20%5BMultiplying%20both%20sides%20with%205%20%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%7D%7B4%7D%3D%5Cfrac%7B4%2B1%7D%7B4%7D%3D%5Cfrac%7B4%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%3D1%2B%5Cfrac%7B1%7D%7B4%7D)
=1 and 1/4 cup.
Therefore cat food ate by five cats = 1 and a quarter of cup.[ here a quarter =1/4]
Answer:
5sqrt3
Step-by-step explanation:
Using the pythagorean theorem, we have a^2+4^2=9^2
a^2 + 16 = 81
a^2 = 75.
a = sqrt75.
75 = 25*3. 25 is a perfect square, so sqrt75 = 5sqrt3
