9514 1404 393
Answer:
109°
Step-by-step explanation:
You always start a problem by taking a careful look at the information given and how it relates to what is asked. Here, the key information is in the symbols marking the lines PQ and RS. They are parallel.
This means segments QR and PS are transversals. Marked angle 41° will be an "alternate interior angle" with angle TPQ, so angle TPQ is also 41°.
The desired angle, PTR, is an exterior angle to ΔQTP, so its measure is the sum of remote interior angles TQP (68°) and TPQ (41°). That is, ...
∠PTR = ∠TQP +∠TPQ = 68° +41°
∠PTR = 109°
-30-6r=36
We move all terms to the left:
-30-6r-(36)=0
We add all the numbers together, and all the variables
-6r-66=0
We move all terms containing r to the left, all other terms to the right
-6r=66
r=66/-6
r=-11
Total ratio = 4+7 = 11
33/11 = 3
4x3 = 12
7x3 = 21
so the two groups are 12:21
which is also = 4:7
Answer:
0.98
Step-by-step explanation:
The investment starts at $10,000.
$10,000 is 100% of the investment.
In the first year, it loses 2% of its value. That means that after 1 year, the value of 100% of $10,000 is decreased by 2% of $10,000.
100% - 2% = 98%
After the first year, the investment is worth 98% of the original value.
98% as a decimal is 0.98
Answer: 0.98
Answer:
Hope this helps
Step-by-step explanation:
−55/24
