Answer:
m∠BOC = 40°
Step-by-step explanation:
Given O A ‾ ⊥ O C ‾ OA ⊥ OC m∠BOC=6x−6 ∘
m∠AOB=5x+8 ∘
Find m ∠ B O C:
This means that: m∠BOC and m∠AOC intersect at a right angle.
Hence:
m∠BOC + m∠AOC = 90°
Step 1
Solving for x
6x - 6 + 5x + 8 = 90°
11x -2 = 90°
11x = 90 - 2
11x = 88
x = 88/11
x = 8
Step 2
Solving for m∠BOC
m∠BOC = 6x - 8
m∠BOC = 6(8) - 8
= 48 - 8
= 40°
<u>Complete Question</u>
In triangle ABC: AC=10
, AB=5., Angle C = 30 degrees.
In Triangle DEF: ED= 7.5
, DF=15, Angle F =30 degrees
, Angle E = 90 degrees.
Answer:
A, D and E
Step-by-step explanation:
The diagram is drawn and attached below.
- Triangle ABC is similar to Triangle DEF. (Option E)
Writing it backwards:
- Triangle CBA is similar to Triangle FED. (Option A)
Also,
- Triangle BAC is similar to EDF. (Option D).
Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.
Answer:
Each tray has 5 colours and one of the colour on the tray is purple. Hence 1/5 of the colours on the tray is purple and thus 1/5 of the colours on the 20 trays is purple. The fraction of colours on the trays will not change. If written out logically, 20 purples out of 100 colours in total on the trays will also given the fraction 1/5.
Hexagon = 6 sides = 6 x 4 = 24
Octagon = 8 sides = 8
Dodecagons = 12 x 5 = 60
24 + 8 + 60 = 92 IN TOTAL
