Answer:
90
Step-by-step explanation:
1. The other angle marked with one arc must also be 43 deg.
2. The two angles put together make an angle of 86 deg.
3. In a parallelogram, the angle at lower right and the angle at upper right are supplementary (they add up to 180 deg.). The upper right angle is 180 - 86 = 94 deg.
4. The angle at lower left is the same, 94 deg.
5. The angles marked with two arcs are half of 94 deg. = 47 deg.
6. Now you have two out of three angles in the triangle. All three angles add up to 180 deg. so the measure of angle 1 is 180 - 47 - 43 = 90 degrees.
Answer:
The distance is 8 cm
Step-by-step explanation:
The chord and the diameter form one leg and the hypotenuse of a right triangle. The other leg, BD, has length ...
BD² +AB² = AD²
BD² = AD² -AB² = 34² -30² = 256
BD = √256 = 16
The segment from the center of the circle to the midpoint of the chord is the midline of triangle ABD, so is half the length of BD.
distance from AB to the center = 16/2 = 8 . . . cm
Answer:
3 : 7 =>
Anna = $180
Raman = $420
1 : 4 =>
Anna = $120
Raman = $480
Step-by-step explanation:
<u>Shares when ratio is 3 : 7</u>
Anna : Raman = 3 : 7
Sum of ratio 10
Anna's share=
Raman 's share=
<u>Shares when ratio is 1 : 4</u>
Anna : Raman = 1 : 4
Sum of ratio = 5
Anna 's share =
Raman's share =