Answer:
Opposite sides of the parallelogram are equal. Here, 60°+60°+ Angle ZWX + Angle ZYX = 360°
or,2* Angle ZYX = 240° [ Angle ZWX = Angle ZYX]
So, Angle ZYX = 120°
Then, In ∆ENY;
102° + (120-84)° + Angle ENY = 180° [Sum of all angles of a triangle.]
or, 36° + Angle ENY = 78°
So, Angle ENY = 42°
Answer:
See below in bold.
Step-by-step explanation:
(1) cosec ( x + 10) = 3
Now cosec x = 1/sin x so
1 / sin (x + 10) = 3
3 sin (x + 10) = 1
sin (x + 10) = 1/3
x + 10 = 19.47 , 160.53 degrees
x = 9.47, 150.53 degrees.
(ii) cot (x - 30) =0.45
cot (x - 30)= 1 /tan (x- 30) so we have
tan (x - 30) = 1 / 0.45 = 2.2222
x - 30 = 65.77 degrees
x = 95.77 degrees.
Answer:
x=7
Step-by-step explanation:
by pythagoras, 25^2=24^2+x^2
solve for x
12x9=108
108+5=113
113+2=115
The answer is 115
Answer:
A = -9, B = 65
Step-by-step explanation:
Take the square root of both sides of the equation:
h + 9 = ±√65
Subtract 9 from both sides of the equation:
h = -9 ± √65
Comparing this to the form
h = A ± √B
we see that A = -9 and B = 65.
_____
A lot of math is about matching patterns of numbers and variables. Here, you're asked to match the expression -9±√65 to the pattern A±√B and identify the values for A and B that make these expressions identical.
It should not be difficult to see that the stuff on the left side of ± is the value of A. That stuff is -9.
The stuff under the radical is the value of B. That stuff is 65.