Answer:
z = 38
Step-by-step explanation:
The sum of the angles of a triangle add to 180
z+ 90+52 = 180
Combine like terms
z +142 = 180
Subtract 142 from each side
z+142-142 = 180-142
z =38
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<u><em>Answer:</em></u>d = 25
<u><em>Explanation:</em></u>To get the value of d, we will need to isolate the d on one side of the equation.
<u>This can be done as follows:</u>
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<u>First, we will do cross multiplication as follows:</u>
40*15 = 24*d
600 = 24d
<u>Then, we will isolate the d as follows:</u>
24d = 600
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d = 25
Hope this helps :)</span>
Answer:
a) 62
b) 31/45
Step-by-step explanation:
a) The table tells you there are 42 males, and 20 more females that study biology.
42 +20 = 62 . . . are male or study biology or both
__
b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...
62/90 = 31/45 = P(male or biology)
Answer:
x = -2, y = 5, z = 7
Step-by-step explanation:
Let these 3 numbers be x, y, and z
x is the first
y is the second
z is the third number.
Then:
x + y + z = 10
2*y - x = 12
x - y + 2z = 7
x = 2y - 12
(2y - 12) + y + z = 10
and
(2y - 12) - y + 2z = 7
so
3y + z = 22
y + 2z = 19
y = 19 - 2z
3*(19 - 2z) + z = 22
57 - 6z + z = 22
57 - 5z = 22
35 = 5z
z = 7
y = 19 - 2*7 = 19 - 14 = 5
x = 2y - 12 = 2*5 -12 = 10 -12 = -2