X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
x³ + 8x² + 11x - 20 ← the first on list
given the roots of a polynomial, say x = a, x = b and x = c
then the factors are (x - a), (x - b) and (x - c)
the polynomial is the product of the factors
f(x) = (x - a)(x - b)(x - c)
here x = - 5, x = - 4 and x = 1, hence factors are
(x + 5), (x + 4) and (x - 1)
f(x) =(x + 5)(x + 4)(x - 1) ← expanding factors gives
f(x) = (x² + 9x + 20)(x - 1) = x³ + 8x² + 11x - 20
I will draw a rough figure, you can draw it neatly.
Probability =
Probability = No. of favourable outcomes/ Total no. of outcomes
Probability = No. of favourable outcomes/ Total no. of outcomesTotal number of outcomes = 4
So, here:
P(2) = 2/4 = 1/2
P(1) = 1/4
P(3) = 1/4
P(4) = 0
Here, the probability of getting 2 is ½.
Probability of getting 1 is ¼.
Probability of getting 3 is ¼.
Probability of getting 4 is 0.
Sum of all exterior angles = 360
360 divided by s
s = sides
360 divided by 10 = 36
C.360
Answer:
Step-by-step explanation:
B.28.1
