Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
Answer:
5
Step-by-step explanation:
Put the numbers in order then find the middle number. 334677
Here there are two middle numbers, 4, and 6. Add 4 and 6 together, 10 then divide by 2, 5. So the median is 5! Hope this was helpful have a Great day!!!
Answer:
sec
Step-by-step explanation:
1/cosin = sec or cosin^-1
Step-by-step explanation:
<u>Statement Reason </u>
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given
-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
9x = 18 Addition property
x = 18/9 Division property
x = 2 Proved
Answer:
=2mπ + π/3 for m ∈ Z.
Step-by-step explanation:
Given the equation 
, we are to find all the values of that satisfies the equation.
General solution for sin is = nπ + (-1)ⁿ ∝, where n ∈ Z.
If n is an even number say 2m, then = (2m)π + ∝ where ∝ = 60° = π/3
Hence, the general solution to the equation will be = 2mπ + π/3 for m ∈ Z.
