9514 1404 393
Answer:
29
Step-by-step explanation:
From the point where the chords cross, the product of lengths to the circle intercepts is the same for both chords:
LB·LD = LC·LE
10·18 = 9·LE
LE = 180/9 = 20
The the measure of CE is ...
CE = LC +LE = 9 + 20
CE = 29
1. Let the three boxes be box 1, box 2, box 3
consider the 2 white balls, they can be placed in the 3 boxes as follows:
BOX1: BOX2: BOX3:
__2___ ___0__ __0___
__0___ ___2__ ___0__
__0___ ___0__ ___2__
___0__ ___1__ ___1__
__1___ ___0__ ___1__
__1___ ___1__ ___0__
so there are 6 possibilities to place the white balls. Similarly there are 6 ways to place the black balls. We can combine any position of the black balls with any position of the white balls, so there are in total 6*6=36 ways to place the balls.
Answer: 36
Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.
Answer:
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Step-by-step explanation: