Opposite angles are supplementary, so you have
.. V +T = 180°
.. (15y -4) +(12y-5) = 180
.. 27y -9 = 180
.. y = 189/27 = 7
a) T = (12y -5)° = (12*7 -5)° = 79°
c) V = (15y -4)° = (17*7 -4)° = 101°
.. U +W = 180°
.. (14 +4x) +(6x -14) = 180
.. 10x = 180
.. x = 180/10 = 18
b) U = (14 +4x)° = (14 +4*18)° = 86°
d) W = (6x -14)° = (6*18 -14)° = 94°
Answer:
Step-by-step explanation:
Area equation of the parallelogram
- A = bh, where b- base, h - height
Looking at the picture, we can see the right triangle is isosceles as one of interior angles is 45°. It has hypotenuse of 7 and legs of h.
As per property of 45° right triangle the hypotenuse is √2 times the leg.
It gives us
- h√2 = 7 ⇒ h = 7/√2 = 4.95 (rounded)
Now find the area
If the antique's value increases over time, it must be growing (not decaying) in value.
We're told the value increases by 12.12%, which means that if the current value is
, then the value after 1 year is
. Each year, the value increases by the same factor, which means after 2 years, the value is
; after 3 years, the value is
; and so on.
Here
is the starting value of the antique. So the answer is the second choice.
H-5 = -30
Add 5 to both sides to get variable h by itself
h = -25
Answer:
if they win you put profit $100 and get your original $140 back betting and underdogs:the odds for underdogs will have a plus (+) sign front and represent the .......
Step-by-step explanation: you can do the rests you are smart
