Answer:
<1 = 33 degrees
<2 = 33 degrees
<3 = 114 degrees
Step-by-step explanation:
<1 and <2 = x
<3 = 3x+15
<1 + <2 + <3 = 180 degree
x + x + 3x + 15 = 180
5x = 180 - 15
x = 165/5
x = 33
<3 = 3(33)+15
= 114 degrees
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Answer:
- tan(θ) = 5/3
- sin(θ) = 5√34/34
- sec(θ) = √34/3
Step-by-step explanation:
The hypotenuse is given by the Pythagorean theorem:
h = √(3² +5²) = √34
The trig functions are the ratios of sides:
Tan = Opposite/Adjacent
tan(θ) = 5/3
__
Sin = Opposite/Hypotenuse
sin(θ) = 5/√34 = (5/34)√34
__
Sec = Hypotenuse/Adjacent
sec(θ) = √34/3
The answer is 40
³√125=5
2^3= 8
5x8= 40
A
We can't really do this without seeing 28, but I can give you an educated guess. The best way for me to proceed is to solve c.
The conjecture is that x = a + b. You should always find that to be true. C is the clincher.
Here's how you do that.
x + c = 180o That's true because all straight lines have 180o. If two angles make up the straight line that means that they are always equal to 180o So x + c = 180o
Now we move to the next step. All triangles also have 180o. That means that a + b + c = 180o
So we have two conditions that equal 180o. Equalities can be equated to one another.
a + b + c = x + c Subtract c from both sides.
a + b = x.
Study what has happened. Put in mathese, the two remote interior angles equal the exterior angle, which is what you are trying to prove.
Summary
a cannot be solved without 28
b you should say that the two remote angles (a and b) will always total x
c The proof is provided for you.