Answer: The acute angle between diagonals is 50
Step-by-step explanation:
Red angle = 50 because An exterior angle of a triangle is equal to the sum of the opposite interior angles (pink angles).
Alternatively:
Green angle is 130 by sum of interior angles of a triangle.
Red angle is 50 by Adjacent angles
Answer:
The problem does not work.
Step-by-step explanation:
The plane with speed of 31 mph will cover 640 miles in 
hours.
Now, it burns 5 gallons of gas every 3 minutes i.e. 0.05 hours.
So, it will burn in 20.64 hours 
gallons.
Now, the helicopter with speed of 45 mph will cover 640 miles in 
hours.
Now, it burns 7 gallons of gas every 5 minutes i.e. 0.083 hours.
So, it will burn in 14.22 hours 
gallons.
But both of them starts with only 80 gallons of fuel.
Therefore, the problem does not work. (Answer)
Answer:
75°
Step-by-step explanation:
∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...
∠ESK = ∠ESD + ∠DSK
you have ...
100° = 25° + ∠DSK . . . . fill in known values
75° = ∠DSK . . . . . . . . . . subtract 25°
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Regarding opposite angles of an inscribed quadrilateral
Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.
This is why we can say ∠ESK is the supplement of ∠EDK.
<h3><u>Given that</u>:</h3>
- Hypotenuse of a right triangle =
- One side (leg) =
<h3><u>To Find</u>:</h3>
- Measure of another side(leg).
<h3><u>Solution</u>:-</h3>
As we know that,
(Pythagoras Theorem)
So, using this formula we can find measure of another side(leg).
(putting the value of both given side of triangle)
- Here I am putting the value of hypotenuse in C because it is the longest side of triangle.
Therefore, measure of another side (leg) of the triangle = 
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Hope it helps you:)
Answer:
B) 4/5
Step-by-step explanation:
The cosine of one of the angles is the same as the sine of the other angle.
In this case, the cos(M) = 4/5, and the sin(K) is also 4/5.
If this answer is correct, please make me Brainliest!
