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°
Assign x to adult tickets and y to student tickets, then set up the system
5x+y=2465 and
x+y=1077
You can subtract the second equation from the first to get
4x=1388
=> x=347
Then to find y do 1077-347 to find
y=730
Final answer:
347 adult tickets and 730 student tickets were sold.
Hope I helped :)
The answer is 8 and 3 fourths which would be written as 8 3/4
Answer:
Tre: Tre’s position was on the pitcher’s mound and he threw the ball to 3rd base.
Hector: Hector’s position was in right field and he threw the ball to 2nd base.
Answer:
XY is 4 units.
Step-by-step explanation:
We are given the following in the question:
Right triangle ABC is similar to triangle XYZ.
AB = 20.8 units
BC = 36.4 units
YZ = 7 units
We have to find the length of side XY.
Since the given triangles are similar, they have the following property:
The ratio of corresponding sides of similar triangles are equal.
We can write,
Putting the given values, we have,
Thus, the length of XY is 4 units.
