Answer:
65°
Step-by-step explanation:
<3 + <6 = 180 because they are same side interior angles
115 + <6 = 180
Subtract 115 from each side
115-115 +<6 = 180 -115
<6 = 65
Answer:
<u>c/d = 5x/3</u>
Step-by-step explanation:
<u>Given :-</u>
c/d - a/b = x
a = 2c
b = 5d
<u>To Find :-</u>
Value of c/d in terms of x
<u>Solving :-</u>
Substitute value of a and b.
c/d - 2c/5d = x
3c/5d = x
c/d = 5x/3
<u>Solution :-</u>
<u>c/d = 5x/3</u>
You need the Law of Cosines here, since you only have 1 angle measure. If you had 2 you could use the Law of Sines, but nevertheless, we'll get there. The Law of Cosines for our particular set of info looks like this:
. Simplifying a bit we get
and
. Taking the square root of that and considering the principle root only, x = 39.2, second choice down.
Answer:
Multiply both sides by 3x + 7
Step-by-step explanation:
The reason you must multiply first is because you generally want to stay away from binomial division, as it is much easier to work without fractions. Once you multiply both sides by 3x + 7, you effectively only have to work with numerators now, instead of both numerators and denominators. After you have shifted by multiplying both sides by 3x + 7, you can isolate x by adding and subtracting from both sides, but you generally what to stay away from dividing variables.
Hope this helps!
Answer:
Upper bound for distance = 100.49. This is the highest number that you can round up to get 10.52.
Lower bound for time = 10.515 seconds. This is the lowest number that you can round up to get 10.52.
Upper bound for average speed = Upper bound for distance divided by upper bound for time.
100.49/10.5249 = 9.548 seconds.
Lower bound for average speed = Lower bound for distance divided by lower bound for time.
99.5 / 10.515 = 9.463 seconds.
Step-by-step explanation:
Hope this helps you out.