Answer:
The measure of a = b = 116 degrees
Step-by-step explanation:
Here, we have value of angles to calculate.
If a and b are both supplementary to c, what this means is that when we add either a or b to c, we get 180
Hence; Mathematically;
a + c = 180 and b + c = 180
What we have here is that a and b must be equal since they are both supplementary to the same angle value
Now, we are told further in the question that the measure of angle a is 12 less than 2 times the measure of c;
Mathematically, this means that;
a = 2c - 12
So we now want to find the measure of b
Let’s substitute for a
2c -12 + c = 180
3c -12 = 180
3c = 180 + 12
3c =192
c = 192/3
c = 64
Thus; a = 2c - 12 = 2(64) -12 = 128 -12 = 116
This is just the number of permutations of the set {0, 0, 0, 1, 1, 1, 2, 2, 2}. There are 9 elements in the set, so there are 9! = 362,880 possible ternary strings with exactly 3 each of 0, 1, and 2.
we know that
if ∠UVW and ∠XYZ are complementary angles
then
∠UVW + ∠XYZ=90°
∠UVW=x-10
∠XYZ=4x-10
substitute the values
(x-10)°+(4x-10)°=90°
Solve for x
5x-20=90
5x=90+20
5x=110
x=22°
∠UVW=x-10=22-10=12°
∠XYZ=4x-10=4*22-10=78°
therefore
<u>the answer is</u>
x=22°
∠UVW=12°
∠XYZ=78°
Answer:
He is 13 years old
Step-by-step explanation:
32-45=-13
the opposite of -13 is positive 13
<h2>
Answer:The graph of
is the graph of
compressed vertically.</h2>
Step-by-step explanation:
Given that 
and 
is always positive because 
is always positive.
is always positive because 
is always positive.
So,both are always positive.
So,there is no flipping over x-axis.
In ,the height of a point at 
is 
In ,the height of a point at is 
So,height of any point has less height in than
So,the graph of is the graph of compressed vertically.
