Answer:
x = 10
y = 6
Step-by-step explanation:
<u>Vertical Angle Theorem</u>: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
⇒ m∠1 = m∠3
⇒ 10x = 100
⇒ x = 10
<u>Linear pair:</u> Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ 100 + 10y + 20 = 180
⇒ 120 + 10y = 180
⇒ 10y = 60
⇒ y = 6
Answer:
Step-by-step explanation:
answer is -3 because tan^2 theta-sec^2 theta means -1 and when u multiply -1 and 3 u will get -3.
<span>Semicircle area = circle area / 2 = (pi*r^2)/2
16 in is the radius. Let's call the area of this semicircle s.
3.14*16^2=s
</span><span>Trapezoid area = ((base 1 + base 2) / 2) * h
Here, base 1 is 44 and base 2 is 36. The height (h) is 20. Let's call this trapezoid's area t.
(44+36)/2 *20 = t
</span>
<span>We can remove the area of the semicircle (that created by the windshield wiper) by subtracting it from the area of the trapezoid.
t - s = uncleaned area
[(44+36)/2 * 20] - [3.14 * 16^2] = uncleaned area</span>
The missing length in the right triangle as given in the task content is; 156.
<h3>What is the missing length indicated?</h3>
It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;
x² = 144² + 60²
x² = 20736 + 3600
x² = 24,336
x = √24336
x = 156.
Remarks: The complete question involves a right triangle and the missing length is the longest side.
Read more on Pythagoras theorem;
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Answer:
62 degrees.
Step-by-step explanation:
The two angles should add up to 180. Thus, 118 plus 62 equals 180.
