Answer:
x = 42°
y = 69°
Step-by-step explanation:
From the picture attached,
Given triangle is an isosceles triangle.
Therefore, two sides will be equal and measure 8 yd.
Measure of 3rd side of the triangle = 6 yd
Perimeter of the garden = 8 + 8 + 6
= 22 yd
In an isosceles triangle, opposite angles of the equal sides will be equal.
Therefore, y = 69°
By the property of interior angles of a triangle,
x° + y° + 69° = 180°
x° + 69° + 69° = 180°
x = 180 - 138
x = 42°
Get the value of the decimal:

Remember that percentages are simply the value of a decimal multiplied by 100. (From the Latin, "per centus", meaning "per 100")
therefore:
Answer: la respuesta es 24
Step-by-step explanation:
Answer:
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 11 - 6.02 = 3.98 pounds
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.
Answer:
x ≠ - 5
Step-by-step explanation:
Given
f(x) = 
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
solve : x + 5 = 0 ⇒ x = - 5 ← excluded value