The approximate measure of angle T in the given diagram is 79°. The correct option is the first option 79°
<h3>Law of Cosines</h3>
From the question, we are to determine the approximate measure of angle T
From the law of cosines, we can write that
cosT = (s² + u² - t²)/2su
From the diagram,
s = 3.9 cm
u = 2.7 cm
t = 4.3 cm
Thus,
cosT = (3.9² + 2.7² - 4.3²)/2(3.9)(2.7)
cosT = (15.21 + 7.29 - 18.49)/21.06
cosT = 4.01/21.06
cosT = 0.1904
T = cos⁻¹(0.1904)
T = 79.02°
T ≈ 79°
Hence, the approximate measure of angle T in the given diagram is 79°. The correct option is the first option 79°
Learn more on Law of Cosines here: brainly.com/question/28081595
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6^2 is 36. / 3 makes 12. 12+6 is 18. final answer, most likely 18.
Answer:
Step-by-step explanation:
6(5+x) = 30 + 6x
1. Distribute the 6 to both the 5 and the x.
7x5x3 = 105
1. Just multiply them together.
28 - 3(2+4)/9 = 26
1. PEMDAS
2. Add inside the parenthesis: 28 - 3 x 6 / 9
3. Multiply: 28 - 18 / 9
4. Divide: 28 - 2
5. Subtract: 26
For the first part, the answer is choice B) 360. This applies to any polygon and it doesn't have to be an octagon. The sum of the exterior angles of any polygon is always 360 degrees. This is something you should memorize or have on a reference sheet.
For the second part, the answer is choice C) 142 degrees. We have a parallelogram (specifically a rhombus but that doesn't matter) so the adjacent angles are supplementary. This means they add to 180 degrees. Solving x+38 = 180 leads to x = 142