Answer:
x = 35
y = 7
Step-by-step explanation:
See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so
C + 45 + 30 = 180
C + 75 = 180
C = 105°
This is angle DCB.
Now all the angles are marked. We can set up equations to find x and y. see image.
3m=2(4+t)
3m= 8+2t
3m-8=2t
(divide everything by 2)
3/2m-4=t
t=3/2m-4
Answer
12 (5 - 3)
Step-by-step explanation:
The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.
If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.
If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.
The two number have the factors, 2, 2, and 3 in common.
The greatest common factor is then: 2 * 2 * 3, or 12.
The expression can be factored as: 12 ( 5 - 3)
Your answer is- (x being tickets sold and y being the amount of money) y=55x.
This means that for every ticket bought, it costs 55 dollars.
Point-slope form:
y − b = m(x − a<span>), where m is the slope and (a, b) is a point on the graph.
Here that would look like:
y - 2 = 12(x - (-8))
y - 2 = 12(x + 8)
The answer:
</span>y - 2 = 12(x + 8)
Hope this helps.