Answer:
x is equal to 55 degrees.
Step-by-step explanation:
In order to find this, we must first realize that the angle next to 160 is equal to 20 degrees. This is because they come together to make a straight line, which is equal to 180 degrees.
Now knowing this, we can find the two congruent angles at the top. Since they form one angle of a large triangle along with the right angle and 20 degrees, we know they combine to be worth 70 degrees. Since they are even, we know each is 35 degrees.
For the final step, we know that the 35 degree angle and 90 degree angle form a triangle with x. Knowing these all add up to 180, we can solve for x.
35 + 90 + x = 180
125 + x = 180
x = 55
Answer:
11.5 m
Step-by-step explanation:
The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...
Tan = Opposite/Adjacent
The lengths of the adjacent sides of the triangle can be found by rearranging this formula:
Adjacent = Opposite/Tan
__
The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:
h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle
h(1/tan(25°) -1/tan(50°)) = 15
h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)
h ≈ 11.4907 . . . . meters
The height of the tree is about 11.5 meters.
Answer:
15
Step-by-step explanation:
Let's solve your equation step-by-step.
15+8x=45+6x
Step 1: Simplify both sides of the equation.
8x+15=6x+45
Step 2: Subtract 6x from both sides.
8x+15−6x=6x+45−6x
2x+15=45
Step 3: Subtract 15 from both sides.
2x+15−15=45−15
2x=30
Step 4: Divide both sides by 2.
2x
2
=
30
2
x=15
Answer:
x=15
No, in order to do the correct ratio she would have needed to add 4.5 pints to 3 pints because if you divide 9:6 by 2 it is 4.5:3 not 4:3
Answer:
(0,3), (1,1), (2,-1), (3,-3)
Step-by-step explanation:
<em>good luck, i hope this helps :)</em>