We want to see which could be the possible score of Kath for the given information. We will find the inequality:
K ≤ 33
<h3>
Stating what we know:</h3>
The given information is:
- The sum of the scores is not greater than 55 points
- Ella's score is 22 points.
<h3>Writing the inequality:</h3>
First, we need to define the variable K for Kath's points, because of the given information, we can write the inequality:
K + 22 ≤ 55
This means that the sum of the points is smaller than or equal to 55.
Now we just need to solve this for K, to do this, we subtract 22 in both sides:
K ≤ 55 - 22
K ≤ 33
From this, we can conclude that Kath has at most 33 points.
If you want to learn more about inequalities, you can read:
brainly.com/question/11234618
Answer:
<h2>-28
°</h2>
Step-by-step explanation:
It is given that ∠1 is a right angle that is ∠1 = 90°.
∠8 - ∠1 = ∠ 7 = 62° - 90° = - 28°.
Answer:
53°
Step-by-step explanation:
It is given that the total measurement of the two angles combined would equate to 116°.
It is also given that m∠WXY is 10° more then m∠ZXY.
Set the system of equation:
m∠1 + m∠2 = 116°
m∠1 = m∠2 + 10°
First, plug in "m∠2 + 10" for m∠1 in the first equation:
m∠1 + m∠2 = 116°
(m∠2 + 10) + m∠2 = 116°
Simplify. Combine like terms:
2(m∠2) + 10 = 116
Next, isolate the <em>variable</em>, m∠2. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 10 from both sides of the equation:
2(m∠2) + 10 (-10) = 116 (-10)
2(m∠2) = 116 - 10
2(m∠2) = 106
Next, divide 2 from both sides of the equation:
(2(m∠2))/2 = (106)/2
m∠2 = 106/2 = 53°
53° is your answer.
~
Answer:
a
Step-by-step explanation:
You're basically told that Lin has traveled 20% of 75. Since 20% is one fifth, she has traveled 75/5=15 miles so far.