Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.
RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124
Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152
Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76
There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152
Answer:
Airspeed in still air: 140 mph
Step-by-step explanation:
Let s represent the speed in still air. Recognize that the distance traveled is the same in either direction.
Also note that SF is north of LA.
Distance to SF from LA = Distance to LA from SF
(s-20)(mph)(4 hr) = (s+20)(mph)(3 hr)
Then:
4s - 80 = 3s + 60 => s = 60 + 80 + 140 (mph)
The airspeed of the plane was 140 mph in still air. With a tail wind, the plane is faster; with a headwind, slower.
It's B. If you draw those 2 points and then connect them together they will form a rectangle.
Answer:
c
Step-by-step explanation: not much has change the perminater will always stay the same
<h3>
Answer: Sometimes true</h3>
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Explanation:
-8+d is positive only when d > 8
Here's why
-8+d > 0
-8+d+8 > 0+8 .... add 8 to both sides
d > 8
So if Jessica said "d is greater than 8", then her claim would always be correct.
However, her claim is sometimes true.
Two counter examples could be when d = 1 and d = 2.
If d = 1, then -8+d = -8+1 = -7 which isn't positive.
If d = 2, then -8+d = -8+2 = -6 which also isn't positive.
Basically if d is anything smaller than 8, then you'll have -8+d be negative.
If d is something larger than 8, say d = 9, then -8+d = -8+9 = 1 which is finally positive.
