All you have to do it <span>Identify the legs and the hypotenuse of the triangle. You know that the triangle is a right triangle since the ground and the raised portion of the porch are perpendicular—this means you can use the Pythagorean Theorem to solve this problem. Identify a, </span>b<span>, and c. Use the Pythagorean Theorem to find the </span>length<span> of c.</span>
Answer:
The value of x is 11 degrees
Step-by-step explanation:
Here, given that two angles are vertical angles, we are interested in calculating the value of x. We simply want to use an important property of vertical angles to get the value of x as given in the question.
When we talk of vertical angles, they are angles which lies on opposite side to each other when we have two intersecting line.
By property, vertically opposite angles are equal.
Thus, in this case, we are to equate the angles we are having since they are both vertical angles;
Thus,
Mathematically;
angle A = angle B
3x + 3 = 4x -8
Collect like terms;
4x-3x = 3 + 8
x = 11 degrees
Step-by-step explanation:
We need to show whether
or
so we'll do either one of them,
we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).
we can also write it as:
now all we have to do is to make x the subject of the equation.
now we'll interchange the variables
this is the inverse of f(x)
and it does equal to g(x)
Hence, both functions are inverse of each other!
This can be shown graphically too:
we can see that both functions are reflections of each other about the line y=x.
Apply the : congruent (corresponding alternate exterior and alternate interior angles) and supplementary (consecutive interior angles) theorems
step-by-step explanation:
The property to apply here is : congruent (corresponding alternate exterior and alternate interior angles) and supplementary (consecutive interior angles)
1.h = 180°-120°=60°=e=d=a
f=120° = c=b
2.b=180°-105°=75°=c=f=g
a=105°=e=h
3. f=180°-36°=144°=g=c=b
a=36°=d=h
4. a=180°-161°=19°=e=h=d
c=161°=f=g
5. f=180°-145°=35°=g=c=b
a=145°=d=h
6. b=180°-25°=155°=c=f=g
25°=d=e=h
Learn More
Angles :brainly.com/question/13209798
Keywords: parallel lines, intersect, transversal, angle
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Answer:62
Step-by-step explanation:
F=c+32
C=30
F=30+32
F=62
