Answer:
Step-by-step explanation:
Given
Lines x and y
Transversal b
Required
Find 
From the attachment, 
and 
are vertically opposite.
This means that
Similarly
and are supplementary angles
So:
Make 
the subject
The relationship between and is that they are supplementary angles because:
Answer:
138.3
Step-by-step explanation:
Answer:
h=404.89
Step-by-step explanation:
We are looking for side h, which is opposite of the observer. We know that the side adjacent to the observer is 500 feet. We also know that the angle from the observer to the bird is 39°. Because we have these values, SOH CAH TOA tells us that we should use tangent, opposite over adjacent.
We can set up our equation as follows:
tan(39°)=h/500
We can then solve for h:
500*tan(39°)=h
h=404.89
Answer:
x=5
Step-by-step explanation:
According to SSS, RPS and RPQ should be similar angles. Since the length RP is the same, then RQP and RSP should be similar too. Therefore PRS and PRQ should be similar too. Since QP and RS are the same (7) then QR and PS needs to be same in length too.
2x+3 = 4x-7
10 = 2x
x=5
Answer:
5 km
Step-by-step explanation:
the scans means that any distance on the map is 50000 times larger in real life.
so, 10 cm on the map is
10×50000 = 500000 cm in real life.
now, we know that 100cm = 1 m
so, it is 500000/100 = 5000 m in real life.
and there are 1000 m in 1 km.
so, it is 5000/1000 = 5 km in real life
