Answer and workings in the attachment below.
∠1 and ∠2 are alternate exterior angles where transversal BE crosses parallel lines AC and DF, therefore they are equal. ∠2 and ∠3 are opposite angles of a parallelogram, therefore they are equal.
... ∠1 = ∠2
... 3x -5 = 2x +15 . . . . substitute the given values
... x = 20 . . . . . . . . . . . add 5-2x
The measures of angles 1, 2, and 3 are 2·20+15 = 55 . . . degrees.
Answer:
5/4 P dollars
Step-by-step explanation:
Given that,
price of pony = P
Tax which is to added in the total price of pony = 25% of pony price
so, now total price of pony including its tax = P + 25%P
= P + 25/100 P
= P + 1/4 P
= 5/4 P dollars
= 1.25 P dollars
Answer: a = 3.5
Step-by-step explanation:
14=4a
divide both sides by 4
14/4 = 3.5
4a/4 =1a or a
so a= 3.5
Circumcerence = distance travelled in one full rotation = 2 x π x 8 = 16π
for 2 minutes and 15 seconds,
multiply 16π by 2.25 as 2 minutes is twice the distance of one rotation and 15 seconds is a quarter more
therefore answer is 36π = 113.1 inches
