Your correct answer is 12.
tripple number 4Step-by-step explanation:
A. AAS
B. SAS
C. ASA
Just look at what order they come in. Lmk if you need further help.
Answer:
x ≤ 19
Step-by-step explanation:
The instructions here are probably "solve for x." Please include them.
4 - x + 6^2 ≥ 21
becomes 4 - x + 36 ≥ 21
Now combine like terms. 4 and 36 combine to 40: 40 - x ≥ 21, and so:
19 - x ≥ 0
Adding x to both sies results in
x ≤ 19
Please, include the instructions when you post a question. Thanks.
Let's work on the left side first. And remember that
the<u> tangent</u> is the same as <u>sin/cos</u>.
sin(a) cos(a) tan(a)
Substitute for the tangent:
[ sin(a) cos(a) ] [ sin(a)/cos(a) ]
Cancel the cos(a) from the top and bottom, and you're left with
[ sin(a) ] . . . . . [ sin(a) ] which is [ <u>sin²(a)</u> ] That's the <u>left side</u>.
Now, work on the right side:
[ 1 - cos(a) ] [ 1 + cos(a) ]
Multiply that all out, using FOIL:
[ 1 + cos(a) - cos(a) - cos²(a) ]
= [ <u>1 - cos²(a)</u> ] That's the <u>right side</u>.
Do you remember that for any angle, sin²(b) + cos²(b) = 1 ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.
So, on the <u>right side</u>, you could write [ <u>sin²(a)</u> ] .
Now look back about 9 lines, and compare that to the result we got for the <u>left side</u> .
They look quite similar. In fact, they're identical. And so the identity is proven.
Whew !
