Answer:29
Step-by-step explanation:
Opposite angles in a quadrilateral (the trapezium inside the circle) must add up to 180, so 180-92 = 88.
So DAB = 88
Angles on a straight line add up to 180, so to find t, you have to 180 - 88 - 63 = 29
So t is 29.
Hope that helps!
Answer:
0.1091 or 10.91%
Step-by-step explanation:
We have been given that a particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls involve fax messages and consider a sample of 20 calls. We are asked to find the probability that exactly 6 of the calls involve a fax message.
We will use Bernoulli's trials to solve our given problem.
Therefore, the probability that exactly 6 of the calls involve a fax message would be approximately 0.1091 or 10.91%.
You want to find values of v (number of visors sold) and c (number of caps sold) that satisfy the equation
... 3v + 7c = 4480
In intercept form, this equation is
... v/(1493 1/3) + c/640 = 1 . . . . . divide by 4480
Among other things, this tells us one solution is
... (v, c) = (0, 640)
The least common multiple of 3 and 7 is 21, so decreasing the number of caps sold by some multiple of 3 and increasing the number of visors sold by that same multiple of 7 will result in another possible solution.
The largest multiple of 21 that is less than 4480 is 213. Another possible solution is (0 +213·7, 640 -213·3) = (1491, 1)
We can also pick some number in between, say using 100 as the multiple
... (0 +100·7, 640 -100·3) = (700, 340)
In summary, your three solutions could be
... (visors, caps) = (0, 640), (700, 340), (1491, 1)
Answer:
The difference is subtracting 6.5
19.5, 25, 31.5
Step-by-step explanation:
"The
segment connecting the midpoints of two sides of a triangle is parallel to the
third side and equals its half length"
so that:
(x-3)=0.5(2+x)
solve for x:
x=8
