Age>8. I think ..............
Answer:
(in order) #1
for the first one you have a vertical angle. Vertical angle is basically any 2 lines who intersect each other. The opposite sides will be congruent.
So in this case
2x+8 and 110 are oppostie sides.
2x+8=110
Which is x= 51
#2
For the second one you have supplementray angles
Now for supplementary angles its basically 2 angles added up that form a straight line And 180 degress is always the measure of a straight line. SO in this case we do
9x+12x+75=180
Which is x=5
#3
This is also a vertical angle pair and their congruent just like #1
So 5x+5=65
x=12
Answer: y= 16 - 3/2x
Step-by-step explanation:
3x+2y=32 (subtract 3x from both sides)
2y=32-3x (divide both sides by 2)
y= 16 - 3/2 x
If solving for x:
3x + 2y = 32
3x = 32- 2y
x = 32/3 - 2/3 y
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for B
B = 180° - (90 + 47)° = 180° - 137° = 43°
-------------------------------------------------------------
tan47° = 
= 
Multiply both sides by 14
14 × tan47° = a, thus
a ≈ 15.0 (to the nearest tenth )
---------------------------------------------------------------
cos47° = 
= 
Multiply both sides by c
c × cos47° = 14 ( divide both sides by cos47° )
c = 
≈ 20.5 ( to the nearest tenth )
