Answer:
z = 8
Step-by-step explanation:
PythagoreanTheorem
a^2 + b^2 = c^2
a and b stand for the legs while c stands for the hypotenuse. Since we have the numeral for one of the legs and the hypothenuse, we can plug those into the formula.
a^2 + 15^2 = 17^2
a^2 = 64
a = 8
Answer:
Minimum = 14

Median = 32

Maximum = 65
Step-by-step explanation:
<u>Step 1: </u>Put your numbers in ascending order (from smallest to largest). For this particular data set, the order is
14, 18, 28, 29, 32, 44, 48, 50, 65
<u>Step 2:</u> Find the minimum and maximum for your data set. Now that your numbers are in order, this should be easy to spot.
Minimum = 14
Maximum = 65
<u>Step 3: </u>Find the median. The median is the middle number. The middle number in your list is 32, so
Median = 32
<u>Step 4: </u>Place parentheses around the numbers above and below the median.
(14, 18, 28, 29), 32, (44, 48, 50, 65)
<u>Step 5: </u>Find Q1 and Q3. Q1 can be thought of as a median in the lower half of the data, and Q3 can be thought of as a median for the upper half of data.
First quartile

Third quartile

<u>Step 6:</u> Write down your summary found in the above steps.
Minimum = 14

Median = 32

Maximum = 65
Answer:

Step-by-step explanation:
The temperature at 7:00 pm is:


Answer:

Step-by-step explanation:
So we know that:

And that the two angles are vertical angles.
Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:

Now, solve for x. Add 30 to both sides. The left side cancels:

Now, subtract 2x from both sides. The right cancels:

Thus, the value of x is 21.
Step-by-step explanation:
The two smaller triangles below were created by drawing an altitude in the larger triangle. Write a similarity statement