Answer:
2. A = 30°
3. x = 12
Step-by-step explanation:
2.
The angle OPPOSITE of the angle "8x +4" is also same because they are vertical angles (makes a "cross").
The angle beside (adjacent) to the 130 degree angle is 50. Because a straight line is 180 degrees. So 130 ADDED to WHAT will make 180?
130 + WHAT = 180
WHAT = 180 - 13- = 50
Now, we have all the 3 angles of a triangle. We know sum of 3 angles in a triangle is 180, thus we can write:
3x - 6 + 50 + 8x + 4 = 180
Now, we can first, solve for x:
![3x - 6 + 50 + 8x + 4 = 180\\11x+48=180\\11x=180-48\\11x=132\\x=12](https://tex.z-dn.net/?f=3x%20-%206%20%2B%2050%20%2B%208x%20%2B%204%20%3D%20180%5C%5C11x%2B48%3D180%5C%5C11x%3D180-48%5C%5C11x%3D132%5C%5Cx%3D12)
The value of "x" is 12. But we need measure of Angle A which is "3x - 6". So we plug in x = 12 in it.
A = 3x - 6
A = 3(12) - 6
A = 36 - 6
A = 30°
3.
The Square inside the triangle means the angle is a 90 degree angle. The other 2 angles are shown as algebraic expression.
We know sum of 3 angles in a triangle is 180 degrees. Thus we can write an equation in "x" and solve for x. Shown below:
![2x+1+5x+5+90=180\\7x+96=180\\7x=180-96\\7x=84\\x=\frac{84}{7}\\x=12](https://tex.z-dn.net/?f=2x%2B1%2B5x%2B5%2B90%3D180%5C%5C7x%2B96%3D180%5C%5C7x%3D180-96%5C%5C7x%3D84%5C%5Cx%3D%5Cfrac%7B84%7D%7B7%7D%5C%5Cx%3D12)
Thus, the value of x is 12
D. Multiplicative Inverse Property
In a standard shuffled deck of 52 cards, half of the cards are black and half of the cards are red: (26 black cards, 26 red cards).
Since we are interested in pulling a black card first, the probability is 26/52.
Without replacing the card we have chosen, we are left with 51 total cards in the entire deck (25 black cards, 26 red cards).
Now that we want to pull a red card, we know that the probability will be 26/51.
Since we are interested in both events occurring simultaneously, we must multiply the probability of the first by the probability of the second, aka: (26/52) * (26/51)
The answer we are given is 0.2549
Answer:3.3
Step-by-step explanation:
1\5 of 50% = 1\5 * 0.5 = 0.1.