Answer:
x = 3.6
B. {7.88}
Step-by-step explanation:

x · 10 = 6 · 6
10x = 36
10x ÷ 10 = 36 ÷ 10
x = 3.6

8 · x = 9 · 7
8x = 63
8x ÷ 8 = 63 ÷ 8
or x = 7.875
7.875 rounded to the nearest tenth is 7.88.
Based on the given condition, since the rectangle is inscribed in a circle given the length to be 3x, the width can be approximated by taking the right triangle formed by the radius and the w/2, sin 45 = w/2/r, which is equal to w = 2r sin45, therefore the Area of the inscribed rectangle = LxW = (3x)(2rsin45)
Angle measures are ∠M = 90° and ∠L = 24°
Step-by-step explanation:
- Step 1: In the figure, LM is a tangent to the circle N at point M.
Tangents create right angles at the point of contact with a circle.
So ∠M = 90°
- Step 2: Sum of angles in a triangle is equal to 180°
⇒ ∠L = 180° - (∠M + ∠N) = 180° - (90° + 66°)
= 180° - 156° = 24°
Answer:
286 students attended
148 non students attended
Step-by-step explanation:
Given




Solving (a): Number of students
Represent students with S and non students with N
So:
--- (1)
--- (2)
Make N the subject of formula in (1)

Substitute 434 - S for N in (2)

Open Bracket

Collect Like Terms


Divide through by -2

<em>Hence; 286 students attended</em>
Solving (b):
Recall that



<em>148 non students attended</em>
Answer:
(0.5, 0) will be the midpoint by applying formula which is
add both "x" quadrant and divide by it by two and then add both "you" quadrant and then divide it also by 2 you will get answer