Answer:
<Q = 30
Step-by-step explanation:
2x + 70 + x - 10 = 180
3x + 60 = 180
3x = 120
x = 40
x - 10
40 - 10
30
<Q = 30 because of vertical angles
Its B , 6 because if you subtract 98 from 530 you get 432 and if you divide that by 72 you get 6 :)
HD = 10.5
Step-by-step explanation:
Given BH = 3, GH = 2, BF = 10
Step 1: To find HF:
HF = BF – BH
HF = 10 – 3
HF = 7
Step 2: To find HD:
We know that if two chords intersects inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.
⇒ GH × HD = BH × HF
⇒ 2 × HD = 3 × 7
⇒ HD = 10.5
Hence, the value of HD = 10.5.
Answer:
x = 3
Step-by-step explanation:

Square both sides of the equation


(x - 3)(x - 5) = 0
x = 3 or 5
Now, you must always check your results because a result may not satisfy the original equation.
If x = 3, then
and 3 - x = 3 - 3 = 0
So 3 satisfies the original.
If x = 5, then
, but 3 - x = 3 - 5 = -2. Therefore, 5 does NOT satisfy the original equation.
That means that x = 3 is the solution to the equation.