Answer:
1) the angles are congruent, or the same
2) the angles are complementary, or add up to 90 degrees
3) the angles add up to 180 degrees
4) the angle is a right angle
5) they are congruent
6) they are complementary angles, or add up to 90 degrees
7) they are supplementary angles, or add up to 180 degrees
8) angle 1 is congruent to angle 4
9) angle K is supplementary to angle L
Step-by-step explanation:
8 and 9 are transitivity
The other statements correspond with the sentence starters.
The functions and their properties are
- The function f(x) has its vertical asymptote at x = 0
- The x-intercept of the function h(x) is (0.5,0)
<h3>How to match the functions and their properties?</h3>
The equations of the functions are given as:
f(x) = ln(x)
g(x) = -1/2f(x - 2)
h(x) = f(x - 1/2)
From the given graph, we can see that the function f(x) has its vertical asymptote at x = 0
h(x) = f(x - 1/2) implies that the function f(x) is shifted 1/2 units right to form h(x)
This means that the x-intercept of the function h(x) is 1/2 units to the right of the x-intercept of the function f(x)
Hence, the x-intercept of the function h(x) is (0.5,0)
Read more about functions at:
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We need to find 30% of 20 gallons.
1) We can write a proportion
20 gallons ---- 100%
x gallons --------30%
x = 20*30/100 = 6 gallons
2) Or we can write 30% as decimal.
30% = 30/100 = 0.3
0.3 of 20 = 0.3*20 =6 gallons
Answer 6 gallons are used efficiently.
Answer:
The missing angle is 37.60 degrees.
Step-by-step explanation: 180-90-52.40=37.60
