From the diagram, 6y = 90 [right angle]
y = 90/6 = 15
Also, 5y + 3x + 6y + 90 = 360 [sum of interior angle of a quadrilateral is 360]
5(15) + 3x + 6(15) + 90 = 360
75 + 3x + 90 + 90 = 360
3x = 360 - 255 = 105
x = 105/3 = 35
Therefore, x + y = 35 + 15 = 50.
Answer:
5/11
Step-by-step explanation:
Probability is the chance that something will happen. Basically, it answers the question of how many times an event will occur in a given number of opportunities.
In this example, the word "GEOMETRICAL" has 11 letters and 5 of them are vowels. They are: E, O, E, I, A. The probability of picking a vowel is 5/11. We could say that there are 5 out of 11 chances of a vowel to occur whenever a piece of paper is taken out of the bag.
(n + 7) (n - 2)
n(n - 2) + 7(n - 2)
n^2 - 2n + 7n - 14
n^2 + 5n - 14
In English: calculate the value of x (if it exists) satisfies the equation the absolute value here if there is no value of x satisfies.give your reasons: 2[3x-8] = 10
Talking about absolute value, that is about the module. Apparently the sign "[]" module mark "| |". Let's remember what is a module: |X|=X if X>0 or X=0and |X|=-X if X<0.The module requires two solutions.
2|3x-8| = 10 divide the equation by 2.|3x-8| =5
get the two systems
1.1) 3x-8>0 or 3x-8=01.2) 3x-8=5
2.1) 3x-8<0 2.2) -3x+8=5
Solved:1.1) 3x-8>0 or 3x-8=0X>2 and 2/3 or X=2 and 2/3 ------ the first condition
1.2) 3x=13x=4 and 1/3 -------- the second condition
Solution 1: x=4 and 1/3
2.1) 3x-8<0 2.2) -3x+8=5
2.1) 3x-8<0 X<2 and 2/3 ------ the first condition
2.2) -3x=-3x=1 -------- the second condition
Solution 2: x=1.
Obyedinenie decisions system 1 and system 2.
General answer: x1=4 1/3 ; x2=1