Answer:
y+z=x
Step-by-step explanation:
we know that
The <u>Exterior Angle Property of a Triangle</u> states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles
In this problem
Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC
therefore
Applying the Exterior Angle Property of a Triangle
y+z=x
Answer:
The graph below shows the answer to
2x - 3y < 12
Also shown as
-3y < -2x + 12
Step-by-step explanation:
You can rearrange the inequality by subtracting 2x from both sides to isolate the y.
You now have -3y < 12 -2x
which can be put into the standard linear equation form of
-3y < -2x + 12
Then you divide both sides by -3 to get singular value of y, which is something like
-3/-3y < -2/-3x + 12/-3
which is
y > 2/3x -4
Note: I switched direction of the inequality because you are dividing both sides by a negative value.
Answer:
Answers for 1-126
Step-by-step explanation:
a. x + 8 = 21
-8 -8
x = 13
b. x - 32 = 55
+32. +32
x = 87
c. 3x = 54
÷3. ÷3
x = 18
d. x/5 = 10
×5. ×5
x = 50
Answer for 1-124
1/5 = 2/10 , so 2 of the 10 colors are blue and 3 of the 10 colors are green.
The probability is 5/10 = 1/2
this is all I could do. sorry
Answer: sec (75) or csc (15)
Step-by-step explanation:
255 is in the 3rd quadrant where the secant is. Here, the tangent and cotangent is positive.
Reference angle for 255 is,
255 - 180 = 75 degrees.
Therefore, sec (255) = sec (75)
= csc (90 - 75) = csc (15)
Answer:
(-∞, -6] U [-2, ∞)
Step-by-step explanation:
To solve this, begin by factoring this quadratic equation into its factored form:
x² + 8x + 12 ≥ 0 becomes (x+6)(x+2) ≥ 0.
x = -6, and x = -2 are the zeros of this parabola. Therefore:
(-∞, -6] U [-2, ∞) are the parts of the graph above y = 0 because the graph
opens upward.
** Remember, when the '≥' sign is present, the
square brackets must be used.
