The law used for determining the measure of unknown sides and angles of a triangle. The measure of the largest angle in triangle abc is 98.25 degrees
<h3>Law of cosines</h3>
The law used for determining the measure of unknown sides and angles of a triangle. It is expressed as:
c² = a² + b² - 2abcosC
Given the following
c = 16
a = 12
b = 9
Substitute
16² = 12² + 9² - 2(9)(12)cosC
256 = 144 + 81 - 216cosC
31 = -216cosC
cosC = -31/216
C = 98.25 degrees
Hence the measure of the largest angle in triangle abc is 98.25 degrees
Learn more on cosine rule here: brainly.com/question/23720007
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Answer:
75
Step-by-step explanation:
To find 5% of 1,500, you need to multiply 1,500 by the decimal for of 5%
5% as a decimal is 0.05, since to convert percents to decimals, you move the decimal point to the right two times
Once you multiply 1,500 by 0.05, you will get 75
Pretty sure it is the first one but don't count on it yet
Answer:
Since l and m are parallel,
let the angle next to (6x+7) be 'a'
then a will be equal to (3x - 16) since 3x-16 and a are corresponding angles
Since the 2 angles make a linear pair,
6x + 7 + 3x -16 = 180
9x -9 = 180
x -1 = 20
x = 21
Since the angles 11y-32 and 6x + 7 are vertically opposite,
11y - 32 = 6x + 7
11y - 32 = 6(21) + 7
11y = 126 + 39
11y = 165
y = 15
