Answer:
7. x=19 2x=38
8.x=23 3x=69
9.x=12 (50-2)/4=12
10.x=15 (31-1)/2
11.x=16 (84-4)/5
12.x=27 (55-1)/2
Step-by-step explanation:
if 2 angles are opposite, it's the same
Answer:
141
Step-by-step explanation:
Area of a trapezium = 
(a + b)
h = height
a and b = upper and and lower lengths
Area of a trapezium = 
(10 + 16)
= × 26
= 117
Area of a triangle = 
× base × height
= × 6 × 8
= × 48
= 24
Total area = Sum of the areas of both the shapes
= 117 + 24
= 141
Answer:
7/60 miles in one minute
7 miles in one hour
Step-by-step explanation:
7/10 = 6 minutes
/6 /6
7/10 / 6 = 7/10 * 1/6 = 7/60
B. 7/10 = 6 minutes
*10 *10
7/10 * 10 = 70/10 = 7 miles
7 miles = 60 minuites
If <span>∆QRS≅∆TUV, Their corresponding sides would be equal so,
QS = TV
5v + 3 = 6v - 9
6v - 5v = 3 + 9
v = 12
Now, QS = TV = 5(12) + 3 = 60 + 3 = 63
In short, Your Answer would be Option B
Hope this helps!</span>
Answer:
Construct MN.
Since M is the midpoint of OA, OM = MA
Similarly, N is the midpoint of OB.
Thus, ON = NB.
Now, in Δs OMN and OAB,
∠MON = ∠AOB (common angle)
(sides are in proportional ratio; OA = 2OM and OB = 2ON)
∴ Δs OMN and OAB are similar (2 sides are in proportion, with the included angle)
Since they are similar, then ∠OMN = ∠OAB (corresponding angles of similar triangles are equal)
But since ∠OMN = ∠OAB, then that means MN || AB (corresponding angles of two lines must be equal since they also sit relative to the transverse line, OA)
Thus, AB || MN (QED)
