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°
Answer:
5.3 s
Step-by-step explanation:
a) since the height is defined by a function, we can find the turning point of the quadratic , which is where the ball will have the highest point. The turning point is where the gradient is equal to zero so we differentiate first

Answer:
What are the following?
Step-by-step explanation:
Answer:
7/9
Step-by-step explanation:
In order to write the fraction without any units (as a pure number), we must have units in the numerator and denominator that are the same. Then the units cancel.
<h3>Convert to gallons</h3>
We are given the conversion ...
4 quarts = 1 gallon
Multiplying by 7, we see ...
28 quarts = 7 gallons
<h3>Ratio</h3>
This lets us write the desired fraction as ...
(28 quarts)/(9 gallons) = (7 gallons)/(9 gallons) = 7/9
The ratio in simplest form is 7/9.
41 my friend hope this helps my good friend