For now, let's assume we can rule out choice A.
Angles 3 and 7 are vertical angles. So we can rule out choice B
Angle 3 and angle 11 are corresponding angles. They are on the topside of their adjacent parallel horizontal line. They are also on the left side of the transversal cut line d. The answer is choice C.
Angles 3 and 8 are not corresponding angles. Corresponding angles are not adjacent to one another. In other words, they do not share a common vertex.
By applying the Pythagorean Theorem and the Trigonometry ratio, CAH, the value of cos(M) = 4/5
<em><u>Recall:</u></em>
Trigonometry ratios, <em>SOH CAH TOA</em> can be applied to solve a right triangle.
- Pythagorean Theorem can also be applied which is: c² = b² + a², where c is the longest side (hypotenuse length).
<em><u>Given:</u></em>
ΔMNL is a right triangle
ML = 25
NL = 15
Find MN using the Pythagorean Theorem:
MN = √(ML² - NL²)
MN = √(25² - 15²)
MN = 20
To find the value of cos(M), apply the trigonometry ratio, CAH, which is:
cos ∅ = Adj/Hyp
∅ = M (reference angle)
Hypotenuse = ML = 25
Adjacent = MN = 20
cos(M) = 20/25
cos(M) = 4/5
Learn more about Trigonometry ratios on:
brainly.com/question/10417664
Answer:
y = 2 / (r/3 - s/5)
Step-by-step explanation:
r/3 - 2/y = s/5
add 2/y to both sides
r/3 = s/5 + 2/y
Subtract s/5 from both sides
r/3 - s/5 = 2/y
multiply both sides by y
y(r/3 - s/5) = 2
Divide both sides by r/3 - s/5
y = 2 / (r/3 - s/5)
Answer:
c = 2
Step-by-step explanation:
Since 16 is over the variable c, first multiply both sides by c so the variable is not in the denominator of the fraction.
16/c(c) = 8(c)
16 = 8c Next, divide both sides by 8 to solve for c.
c = 2
