Supplementary angle = 180 degrees
angle 1 = x
angle 2 = 3x (three times the supplementary)
3x + x = 180
4x = 180
x = 45 degrees
angle 1 = 45 degrees
angle 2 = 135 degrees
The solution to the given expression is x = -20/11
<h3>
What are logarithmic functions?</h3>
Logarithmic function are inverse of exponential functions. Given the equation below;
log (6 x + 10) = log 1/2 x
In order to determine the solution to the given logarithmic equation, we will first have to cancel the logarithm on both sides to have
6x + 10 = 1/2x
Collect the like terms
6x - 1/2x = 0 - 10
Find the LCD
12x-x/2 = -10
11x/2 = -10
Cross multiply
11x = -2 * 10
11x = -20
Divide both sides by 11
11x/11 = -20/11
x = -20/11
Hence the solution to the given expression is x = -20/11
Learn more on log functions and graph here: brainly.com/question/2086094
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Answer: Number one would be 3x+2y+-14 and x+y=-4, second one is x=-3, y=7
Step-by-step explanation:
The first one is solved by inputting the x and y in each one and finding which one comes out true, the second on is solved by substitution. to find x you would subtract x in the first equation and make it y=4-x then input that equation in the y in the second equation.
Answer:
96 dollars....
Step-by-step explanation:
divide 24 by 5
which is 4.8
which represents that it costs 4 dollars and 80 cents for one dinner
multiply 4.8 and 20
which is 96
By applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
<em><u>Recall:</u></em>
- Trigonometry ratios that can be used to solve a right triangle are: SOH CAH TOA.
- SOH represents: sin ∅ = Opp/Hyp
- CAH represents: cos ∅ = Adj/Hyp
- TOA represents: tan ∅ = Opp/Adj
The diagram attached below depicts the problem given.
∅ = x
Opp = 15 ft
Hyp = 50 ft
- Thus, applying the trigonometry ratio, SOH, we have:
sin x = 15/50
x = 
x = 17.5°
In conclusion, by applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
Learn more about trigonometry ratio on:
brainly.com/question/4326804
