Step-by-step explanation:
Okay, so let's represent the people as letters.
Erick= e
Tyson=t
Lane=l
They sold 90 tickets for the school banquet altogether. This means that e+t+l equals 90. Now since you know how much Erick and Tyson sold, this would mean you can replace your letters (variables) with numbers in your equation, like so:
e+t+l=90
38+24+l=90 (l remains a letter because we don't know how many he sold.)
Now add 38 and 24 to get 62.
62+l=90
To find l, we have to subtract 62 from 90.
62+l=90
-62 -62
--------------------
0+l= 28
l=28 The answer is 28.
Answer:

Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the measure of angle BEG
we know that
----> by supplementary angles (form a linear pair)
substitute the given values


step 2
Find the measure of angle HBC
we know that
---> by supplementary angles (form a linear pair)
we know that
---> by corresponding angles
substitute


step 3
Find the measure of angle EBG
we know that

substitute the given values


step 4
Find the measure of angle x
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle BEG

substitute the given values


Answer:
So the top right answer choice (x - 10)² = 80 has the same solution as x² - 20x + 20 = 0
Step-by-step explanation:
Let's solve your equation step-by-step.
x² − 20x + 20 = 0
For this equation: a = 1, b = -20, c = 20
1x² + −20x + 20 = 0
Step 1: Use quadratic formula with a = 1, b = -20, c = 20.
x = −b ± √b² − 4ac / 2a
x = −(−20) ± √(−20)² − 4(1)(20) / 2(1)
x = 20 ± √320 / 2
x = 10 + 4√5 or x = 10 − 4√5
Let's try the top right answer choice
(x−10)² = 80
Step 1: Simplify both sides of the equation.
x² − 20x + 100 = 80
Step 2: Subtract 80 from both sides.
x² − 20x + 100 − 80 = 80 − 80
x² − 20x + 20 = 0
For this equation: a = 1, b = -20, c = 20
1x² + −20x + 20 = 0
Step 3: Use quadratic formula with a = 1, b = -20, c = 20.
x = −b ± √b² − 4ac / 2a
x = −(−20) ± √(−20)² − 4(1)(20) / 2(1)
x = 20 ± √320 / 2
x = 10 + 4√5 or x = 10 − 4√5
8+3=11 and 11-2=9 so a=9.
Answer:
1
Step-by-step explanation:
One to the power of anything is one