What square? Seems like you forgot to add a picture
Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio
. For example, we can say:


We have
. To find
, let's multiply this term by
:

Now, let's use this to find all of our other terms:



Thus, our terms are 64, 80, 100, 125, and (625/4).
Answer:
7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg
8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg
Step-by-step explanation:
Law of Cosines

You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.
Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.
7.
We use the law of cosines to find C.






Now we use the law of sines to find angle A.
Law of Sines

We know c and C. We can solve for a.


Cross multiply.





To find B, we use
m<A + m<B + m<C = 180
40.8 + m<B + 78.6 = 180
m<B = 60.6 deg
8.
I'll use the law of cosines 3 times here to solve for all the angles.
Law of Cosines



Find angle A:





Find angle B:





Find angle C:





Answer:
x equals 3.00cm
Step-by-step explanation:
Use Pythagoras' Theorem.
a = (14x-45)
b = (16x+27)
c = (25x)
Plug in the variables above into Pythagoras' Theorem that is, a^2+b^2=c^2.
Solve the resulting quadratic equation and reject the negative answer as length is always positive.
A True
Congruent means to have the same shape and size or when we can cut them out and then match them up completely.