X + 17 = 3x -31 (opposite angles are equal)
x + 17 = 3x -31
31 +17 = 3x - x
48 = 2x
x = 24
Answer:
h(5) = - 22
Step-by-step explanation:
Given that h is a linear function say, h(x) = ax + b ......... (1)
Now, given that h(1) = 10 and h(3) = - 6
Hence, we can write from equation (1), a(1) + b = 10, ⇒ a + b = 10 .......... (2)
And a(3) + b = - 6, ⇒ 3a + b = - 6 ........ (3)
Now, solving equations (2) and (3) we get (3a - a) = - 6 - 10
⇒ 2a = - 16
⇒ a = - 8
So, from equation (2), we get, b = 10 - a = 18
Therefore, the linear function is
h(x) = - 8x + 18
Hence, h(5) = - 8(5) + 18 = - 22 (Answer)
Since you know that PQ=RQ, you have an equilateral triangle. This makes things very simple.
Angle R should be the same as angle P.
A triangle is equal to 180 degrees.
Add angles P and R. Subtract 180 from the answer you got. That will give you 2a. a divided by 2 will give you a.
Or, since there are two right triangles, you can add 47 and 90. Subtract 180 from that and you will get a.
Answer:
Step-by-step explanation:
This almost looks like the left hand side of the following identity:
.
Here are similar identities in the same category as the above:
Things to notice: 90-76=14. and 90-59=31.
This means we will possibly want to use the following co-function identities:
So let's begin:
Applying the co-function identities:
Applying one of the difference identities above with cosine:
45 is a special angle so is something you find off most unit circles in any trigonometry class.
Don’t u do like 77*r*d not sure
