The typical form of the slope intercept equation would be:
Y = mX + B
Where b is the y intercept, thus in thus case the y intercept would be 65 = (0,65).
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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If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:
z = 0.25x + 0.10(2x)
Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:
1.2 + z = 0.25(2x) + 0.10(x)
Plug in the values you know:
1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)
Solve for x:
1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8
This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:
She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.
If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
An isosceles triangle is a triangle with 2 congruent sides. The congruent sides are called legs and the third side is called the base. So if 2 sides of a triangle have the same length, then we say that the triangle is isosceles.
