Important:
The sum of the three angles inside
every triangle is always 180°.
First, look at the left triangle alone.
Two of its angles are 46° and 58° . (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'.
x = 76° .
At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But x = 76°.
So z = (180° - 76°). z = 104° .
Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and z = 104°.
(13° + 104°) = 117° .
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
y = 63° .
The blank would be 4 as 4*7 is the same as 7*4
Answer:
x ≠ 3
Step-by-step explanation:
The denominator of ...
f(x) = (x+2)/(x -3)
is zero when x=3, so the function is not defined there. Values of x for which the function is not defined are not part of the domain.
The restriction is: x ≠ 3.
_____
Please note that parentheses are required around numerators and denominators when a rational function is written in plain text. When it is typeset:

the division bar serves as a grouping symbol. In plain text, we cannot tell where numerator and denominator begin and end unless some other grouping symbol (parentheses) is used.
Cheryl is 17 years old now.
Step-by-step explanation:
Let,
Age of Cheryl = x
Age of Henry = 2x+6
In 10 years;
Cheryl's age = x+10
Henry's age = 2x+6+10 = 2x+16
The sum of ages is 77.

Dividing both sides by 3

Age of Cheryl = 17 years
Age of Henry = 2x+6 = 2(17)+6 = 34+6 = 40 years
Cheryl is 17 years old now.
Keywords: variable, word problem
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