Answer:
Step-by-step explanation:
From the diagram which I have drawn and attached below:
Next, in the triangle, the sum of the three interior angles:
The value of angle x is 35 degrees.
Answer:
Step-by-step explanation:
d = 7%2F2
-2, -2+7%2F2, -2+2%287%2F2%29, -2+3%287%2F2%29, 12
-2, -4%2F2+7%2F2, -4%2F2+14%2F2, --4%2F2+21%2F2, 12
-2, 3%2F2, 10%2F2, 17%2F2, 12
-2, 3%2F2, 5, 17%2F2, 12
Answer:
800 in²
Step-by-step explanation:
Let’s find the area of all the shapes in the net.
10 · 10 = 100
100 · 2 = <u>200</u>
15 · 10 = 150
150 · 4 = <u>600</u>
200 + 600 = <u><em>800</em></u>
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
It is the fourth choice - 1/4.
There are five odd number out of the ten number they are choosing from.
The probability that Jason will choose an odd number is 5/10 = 1/2
The probability that Kyle will choose an odd number is 5/10 = 1/2
Multiply the two probabilities to get the probability of them choosing odd numbers.
1/2 * 1/2 = 1/4