Answer:
do you still need an answer?
Step-by-step explanation:
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<h3>
Answer: x = 40</h3>
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Work Shown:
A+B+C = 180 ..... three angles of any triangle add to 180
(2x+10)+(x)+(2x-30) = 180
5x-20 = 180
5x = 180+20 .... adding 20 to both sides
5x = 200
x = 200/5 ... dividing both sides by 5
x = 40
This is the measure of angle B
We can stop here.
If you need to know the values of the other angles, then,
- angle A = 2x+10 = 2*40+10 = 90
- angle C = 2x-30 = 2*40-30 = 50
Then note how A+B+C = 90+40+50 = 90+90 = 180 which helps confirm our answer.
4/12ths is 1/3 when simplified. 1/3 in decimal form is .33
1/5; 1/5 is .2
¼; ¼ is .25
5/25: 5/25 is .2
6/24; 6/24 is .25
all of these fractions are near .33 but aren't equivalent to it.
Answer:
3.44 cm
Step-by-step explanation:
When the pendulum is at its lowest point, the vertical length of the pendulum is L.
When the pendulum is at its highest point, the vertical length of the pendulum is L cos θ.
So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.
The pendulum swings 72° from right to left, or 36° from the vertical.
The length of the pendulum is 18 cm.
So the height is:
h = L − L cos θ
h = 18 − 18 cos 36°
h = 3.44
X= entire test
if
18=.9x
then divide both sides by .9
18/ .9
and x = 20
20 questions total on the test
