Answer:
m<CDE=66 degrees.
Step-by-step explanation:
(1) Extend the segment DC so it intersects with line BA. Call the intersection F.
(2) Consider triangle BCF. In here, we are given m<ABC=24 deg. Since m<BCD = 90 deg, we known that m<BCF = 90 deg. Knowing two angles in the triangle BCF lets us determine the rhird angle m<BFC = 180-90-24 = 66 deg.
(3) Because of the fact that AB || DE and the fact that line DF intersects AB and DE, the angles <BFC and <CDE are congruent. Therefore m<CDE=66 deg.
Answer:
5
Step-by-step explanation:
5+7
N = -3
5n + n + 6 = -18 - 2n
6n + 6 = -18 - 2n
-6 to both sides
6n = -24 - 2n
+2n to both sides
8n = -24
divide 8 to both sides
n = -3
Answer:
C
Step-by-step explanation:
Definition: Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.
Event A = getting a 4 on the first roll.
Event B = getting a 4 on the second roll.
True option C: A and B are independent events, because the probability of the first roll will not affect the probability of the second roll.
Answer:
Amount left = Rs 45
Step-by-step explanation:
Let the initial amount be x.
Translating the word problem into an algebraic expression, we have;
Cross-multiplying, we have;
Rearranging the equation (collecting like terms), we have;
x = Rs 60
Next, we find the amount left;
Amount left = 60 - 15
Amount left = Rs 45
