Answer:
x = 10
Explanation:
Using Pythagoras Theorem:
Solve:
8² + 6² = x²
x² = 64 + 36
x² = 100
x = √100
x = 10
Answer:
the equality between A and B is written and pronounced A equals to B
How to comparan? Not sure
Answer:
Option (1)
Step-by-step explanation:
From the picture attached,
Triangle CAB is a right triangle.
Therefore, m∠1 = 90°
Similarly, m∠ACD = 90°
m∠ACD = m∠ACB + m∠BCD = 90°
= m∠3 + m∠4 = 90°
Since m∠4 = 35°,
m∠3 + 35° = 90°
m∠3 = 90° - 35°
= 55°
In the triangle ABC,
m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]
m∠3 + m∠2 + m∠1 = 180°
55° + m∠2 + 90° = 180°
m∠2 + 145° = 180°
m∠2 = 180° - 145°
= 35°
Since, AB║CD and BC is a transverse,
Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]
Option (1) is the correct option.
15)
20/8 = x / 6
x = 20 * 6 / 8
x = 15
16)
18/54 = (x+4)/75
1/3 = (x+4) / 75
3(x+4) = 75
3x + 12 = 75
3x = 63
x = 21
SF = 54/18
SF = 3
17)
complement angles sum = 90
90 /18 = 5
so
5 x 11 = 55
5 x 7 = 35
smaller angle = 35 degrees
18)
ratio 4:5:9
4+5+9 = 18
sum of interior angles of a triangle = 180
180 / 18 = 10
largest angle = 10 x 9 = 90
answer
largest angle = 90 degrees
