Answer:
B
E
F
Opposite Sides equal
Opposite sides parallel
Step-by-step explanation:
t N.
In the figure shown below
Answer:
A horizontal line segment M K intersects with line segment J L at their midpoint N.
∠J N M =(5x+2)°
∠ LN M=3( x+ 14)°
So, ∠J N M + ∠ LN M =180°[ These two angles form linear pair.Angles forming linear pair are supplementary.]
⇒5 x+ 2+ 3 (x+ 14) =180 [ By Substitution]
⇒ 5 x+2 +3 x+42°= 180°
⇒ 8 x=180°-44°
⇒8 x= 136°
⇒x= 136°÷8
⇒x=17°
So, ∠J N M =5×17 +2=87°
∠ LN M= 3×(17 +14)=3×31=93
∠J N M =∠K N L [Vertically opposite angles]
∠K N L=87°
Answer:
The measure of
Step-by-step explanation:
According to the below diagram, horizontal line segment intersects with at their midpoint .
So, (As they are vertical angles)
Given that, and
As they are adjacent angles and points and are co-linear, so
That means.......
Thus,
Using trigonometric ratios, the length in inches of the given triangle is 22 inches.
Given a right angled triangle.
The length of the hypotenuse is also given.
We can find the length of "a" using the sine trigonometric ratio.
We know that,
Sine of any angle is defined as the ratio of the opposite side to the hypotenuse of a right angled triangle.
Using the sine function here for the angle 30°,
sin (30°) = opposite side / adjacent side
sin (30°) = a / 44
Or,
a / 44 = sin (30°)
We know that sin (30°) = 1/2.
So,
a / 44 = 1/2
Multiplying both sides by 44, we get,
a = 44 / 2
a = 22 inches
Hence the length is 22 inches.
To learn more about Trigonometric Ratios, click on the linkhere :
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Answer:
Step-by-step explanation:
Answer:
Maxine is incorrect.
Step-by-step explanation:
18 - 15 = 3 3/15 = 0.2 0.2(100) = 20.
20% is the percent of increase. 120% would be the total of both combined. Since we are only looking for how much more, it would be 20%.