To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.
jk=ac and j+k=b
The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...
2k^2-5k-18=0
2k^2+4k-9k-18=0
2k(k+2)-9(k+2)=0
(2k-9)(k+2)=0
so k=-2 and 9/2
k=(-2, 4.5)
So hmm notice the picture below
that's the 30-60-90 rule, notice your triangle, the bottom-left-angle is a right angle, 90°, the angle atop is 30°, so the angle on the bottom-right has to be 60°, thus is a 30-60-90 triangle, and as you can see on the triangle on the left in the picture, those are the ratios for it
so 8 will be x, what is the longer leg or side in yours then? well, is
Answer:
Situation Best measure
1. The weights of wrestlers on the team varies by 74 lbs. range
2. The most popular M&M's color is green. mode
3. The mean price for an mp3 download is $1.96. mean
4. Half of the students in 3rd hour PE are 15 or older. median
Step-by-step explanation:
1. The weights of wrestlers on the team varies by 74 lbs. This is the range, the difference between the maximum and the minimum value.
2. The most popular M&M's color is green. This is the mode, the value more repeated.
3. The mean price for an mp3 download is $1.96. This is the mean.
4. Half of the students in 3rd hour PE are 15 or older. This is the median, the value in the half of the values
The picture in the attached figure
step 1we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2
step 2In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a
triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
x+y=35
hence
the answer isx+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]
Answer:
0.25 or 1/4
Step-by-step explanation: