Answer:
The measure of all the angles are;
45°, 135°, 45°, and 135°
Step-by-step explanation:
The given parameters are;
The ratio of two adjacent angles of the parallelogram = 1:3
Let x represent one of the adjacent angles, and let y represent the other adjacent angle
Given that two adjacent angles of a parallelogram are supplementary, we have;
x + y = 180°
x:y = 1:3
Therefore, y = 3 × x = 3·x, which gives;
x + 3·x = 180°
4·x = 180°
x = 180°/4 = 45°
y = 3 × x = 3 × 45° = 135°
Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;
45°, 135°, 45°, and 135°.
Answer:
You can do this by rolling dice 4 times
Step-by-step explanation:
If you roll a fair dice 4 times and record the findings and their orders, you can generate 6^4= 1296 possible outcomes. You can pick 1-1000 as numbers and then re-roll all the dice if the number generate 1001-1296
To translate the dice result into a number you have to multiply the dice result as following:
1st roll multiplied by 6^0 = 1
2nd roll multiplied by 6^1 = 6
3rd roll multiplied by 6^2= 36
4th roll multiplied by 6^3= 216
Let's say you roll 1, 2, 3, 4
The number generated will be: 1*1 + 2 *6 + 3 *36 + 4 *216 = 985
Answer:
1) ∫ x² e^(x) dx
4) ∫ x cos(x) dx
Step-by-step explanation:
To solve this problem, eliminate the choices that can be solved by substitution.
In the second problem, we can say u = x², and du = 2x dx.
∫ x cos(x²) dx = ∫ ½ cos(u) du
In the third problem, we can say u = x², and du = 2x dx.
∫ x e^(x²) dx = ∫ ½ e^(u) du
Answer:
No, the student is not correct. The correct expression is 9(n+13).
Step-by-step explanation:
"9 times the sum of a number and 13" means you must multiply 9 by the sum, not just by the number. 9n + 13 would be "the sum of 9 times a number and 13." Slightly different wording.
Answer:
0.80
Step-by-step explanation:
2.10-1.45=0.65
0.65=1 baugette
1.45-0.65=0.8
0.8=1 cup
