Answer:
m∠WZX = 41°
Step-by-step explanation:
diagonals bisect angles and opposite angles are congruent
therefore, ∠WXY ≅ ∠WZY
∠WZY must equal [360 - 2(68)] ÷ 2 which equals 112°
If ∠WXZ = 71° then so does ∠XZY
Which means that ∠WZX must equal 112-71 which is 41°
Answer:
D = x < — 4
R = y < — 3
Step-by-step explanation:
If any questions remains, ask in the comment <3
Answer:
<h2>11.72cm</h2>
Step-by-step explanation:
Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.
Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);
hyp² = opp² + adj²
Let the opposite be the 9cm length
Adjacent will be half of the chord length = 15/2 = 7.5cm
Substituting this values into the formula we will have;
hyp² = 9² + 7.5²
hyp² = 81+56.25
hyp² = 137.25
hyp² = √137.25
hyp = 11.72
<em></em>
<em>Hence the radius of the circle is approximately 11.72 cm long</em>
Answer:
blue question mark = –
Step-by-step explanation:
6(2x -1) uses the distributive property, which means that both 2x and -1 are multiplied by 6 when expanding the brackets.
6(2x - 1)
= (6 x 2x) + (6 x -1)
= 12x - 6
