This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.
F(x) is original function and g(x) is second function
there is 4 spaces between two function
so k=4
Look age lily is 7 and joe 3 and it’s true
Answer:
9 inches
Step-by-step explanation:
The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below
The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size
population standard deviation = 36
sample size = 144
standard deviation of the sample mean = 36/ sqrt(144)
=36/12
=3
The margin of error is the number of standard deviations above the mean * the standard deviations
margin of error = 3 * 3
= 9 inches
1. distribute the 3 into the variable and number in the equation
to do this..
2. multiply 3 by x (obtain the answer of 3x)
3. multiply 3 by -2 (obtain the answer of -6)
4. you now have the equation of ‘14 = 3x-6+5’
5. subtract 6 from 5 (obtain the answer of -1)
6. you now have the equation of ‘14 = 3x-1’
7. add one to both sides (cancel out the negative one and make the opposite side of the equation 15 instead of 14)
8. you now have the equation of ‘15 = 3x’
9. divide both sides by 3 (15 and x)
FINAL ANSWER
x = 5
hope this helps:)