Answer:
85°
Step-by-step explanation:
So in geometry, the formula to find the <u>sum of all interior angles</u> is denoted as follows:
<em>n</em> = number of sides in the polygon
( <em>n</em> - 2 ) × 180° = sum of the interior angles
Using that formula, a triangle has 3 sides, so
<em>n</em> = 3 , therefore:
= ( 3 - 2 ) × 180°
= 1 × 180°
= 180°
Since the total sum of the interior angles of a triangle all have to add up to 180°, you can create the following equation and solve:
34° + 61° + <em>x</em> = 180°
Solve for x.
{k^2 + 2k + 1 = 25, k^2 + 2k + 1 = 64}
{k^2 + 2k - 24 = 0, k^2 + 2k - 63 = 0}
{(k - 4)(k + 6) = 0, (k - 7)(k + 9) = 0}
{k = -6, 4, -9, 7)
Therefore, range = {-9, -6, 4, 7)
Answer:
Step 5
Step-by-step explanation:
The mistake is in step 5.
The previous step was
The order operations, PEDMAS, must be applied:
We have Addition and Division here,
Using PEDMAS, we must divide first to get:
We can now add to get:
Therefore the mistake occurred at step 5
Volume of cylinder
v = πr²
v = 22/7 x 21²
v = 1385.441 cm³
