actually none of them since 212 is the biggest number and should be at the end but none of the answers say so
Answer:
C
Step-by-step explanation:
We know every triangle equals 180 so were just going to take 180 - 42 = 138 then were going to do 138 - 67 = 71 we can check our work by doing
42 + 67+ 71 = 180. We also know 67 + 42 = 109.
Lets look at our answers;
A. 109 = 180 + x When solved it gave me; x = -71. We got a positive 71 so this is incorrect.
B. x + 42 = 67 When solved it gave me; x = 25, which is incorrect.
C. x = 180 - 109 When solved it gave me; x = 71
D. 42 + 67 - x = 180 When solved it gave me; x = - 71
Therefore the answer is C.
Answer:

Step-by-step explanation:
Given

Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:

Going by the Pythagoras theorem, we can assume the following.
- a = Opposite
- b = Adjacent
- r = Hypothenuse
So, we have:


Having said that:
The expression can be further simplified as:

Substitute values for sin and cos
becomes

Step-by-step explanation:
Given equations:
y = x² + 3x - 29 ------ (i)
y = 2x - 9 ---------------- (ii)
Now to solve this problem, we must determine the value of x and y;
Equate equations 1 and 2;
x² + 3x - 29 = 2x - 9
x² + 3x - 2x - 29 + 9 = 0
x² + x - 20 = 0
x² + 5x - 4x - 20 = 0
x(x + 5 ) - 4(x + 5) = 0
(x - 4) (x+ 5) = 0
x - 4 = 0 or x + 5 = 0
x = 4 or x = -5;
So; solve for y now;
y = 2x - 9
input x = 4 or x = -5;
y = 2(4) - 9 or y = 2(-5) - 9
y = -1 or y = -19
Answer:17
Step-by-step explanation:Follow pemdas.
Start with parentheses which is (5+2) which gives you 7.
Now next in Pemdas is Exponents. SO do 2 to power of 2 which is 4 .Then do 3 to the power of 3 which is 27.Next add 4 to 27 which is 31.so now do 7 times 2 is 14.Then take 31 and subtarct it from 14 which gives you 17.
Look at pic to see clearly how it was solved and the steps. I color code it to show the steps.