The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,
Simplify this.
Now we can find each angle measure.
So the angle labeled is the largest angle in the triangle.
Answer:
2563
Step-by-step explanation:
Kgr7q wtbej iw ku3yf kuey wuyr icnt gje eruyg eurygb ekuv ekght kicu dkyg
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
Answer:
(-8/7 ; 5/7)
Step-by-step explanation:
5t + 1/2s = 3 - - - (1)
3t - 6s = 9 - - - - - (2)
Multiply (1) by 12 and (2) by 1
Add the result to eliminate s
60t + 6s = 36
3t - 6s = 9
____________
63t = 45
t = 45 / 63
t = 5/7
Put t = 5/7 in either (1) or (2) to obtain the value of s
3(5/7) - 6s = 9
15/7 - 6s = 9
-6s = 9 - 15/7
-6s = (63 - 15)/7
-6s = 48/7
s = 48/7 * - 1/6
s = - 8/7
Answer:
5/33
Step-by-step explanation:
The table with proper formatting is attached in the image below.
We have to calculate the experimental probability that the next customer buys a red notebook with 150 pages.
Total number of customers in the experiment = Sum of all the values in the given table = 396
Number of customers who bought red notebook with 150 pages = 60
Experimental probability = 
Number of favorable outcomes in the experiment were 60 and the total outcomes in the experiment were 396.
Therefore, the probability that next student buys a red notebook with 150 pages will be 60/396 = 5/33
