I believe the greatest common divisor would be 6.
hope this helps you! :-)
Answer:
Download math)way it helps I swear
Step-by-step explanation:
Answer:
<h2>b = 15°</h2>
Step-by-step explanation:
If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.
We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:
m∠QPR + m∠PRQ + m∠RQP = 180°
We have
m∠QPR = m∠PRQ and m∠RQP = 60°
Therefore
2(m∠QPR) + 60° = 180° <em>subtract 60° from both sides</em>
2(m∠QPR) = 120° <em>divide both sides by 2</em>
m∠QPR = 60° and m∠PRQ = 60°
Therefore ΔPRQ is equaliteral.
ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore
m∠SPR = m∠PRS
In ΔAPS we have:
m∠SPR + m∠PRS + m∠RSP = 180°
2(m∠SPR) + 90° = 180° <em>subtract 90° from both sides</em>
2(m∠SPR) = 90° <em>divide both sides by 2</em>
m∠SPR = 45° and m∠PRS = 45°
m∠PRQ = m∠PRS + b
Susbtitute:
60° = 45° + b <em>subtract 45° from both sides</em>
15° = b
Hello there! Provided the information, we know that the nearest multiple of 8 and 9 has to be greater than 50. 8 and 9 do not go into 50.
$9 • 6 hours = $54
$8 • 7 hours = $56
There are 60 minutes in an hour, so we can multiply accordingly:
60 minutes • 6 hours = 360 minutes
60 minutes • 7 hours = 420 minutes
Your final answers are:
It will take John 360 minutes to earn $50.
It will take Amber 420 minutes to earn $50.
(P.S. It takes Amber one more hour to earn $50 than it does for John to earn $50.)
Hope this helps!
Given:
Carol has 88cm of string and cuts it in the ratio 5 : 6.
To find:
How much longer is the longest piece compared to the shortest piece.
Solution:
Let the lengths of two pieces of string are 5x and 6x. Then,
Now, the lengths of pieces are:
And,
The difference between the longer piece and shorter piece is:
Therefore, the longer piece is 8 m longer than the shorter piece.