Answer:
35 degrees
Step-by-step explanation:
for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?
Let the given expression be equal to 1, hence;
csc (2x+30°)= cos (3y-15°) = 1
csc (2x+30°) = 1
1/sin(2x+30) = 1
1 = sin(2x+30)
sin(2x+30) = 1
2x+30 = arcsin(1)
2x+30 = 90
2x = 90-30
2x = 60
x = 60/2
x = 30 degrees
Get the value of y;
cos (3y-15°) = 1
3y - 15 = arccos (1)
3y - 15= 0
3y = 0+15
3y = 15
y = 15/3
y = 5
Sum of x and y;
x+y = 30 + 5
x+y = 35degrees
Hence the sum of x and y is 35 degrees
Answer:
2/6
Step-by-step explanation:
Since you already have 6 socks in total and you already know 4 of the color socks are either green or blue, all you would have to do is 6-4 to equal 2 and therefor making 2/6
Hope this helps :)
all angles = 180 degrees total
add the ratios: 2 +4 +9 = 15
180/ 15 = 12
12*2 = 24
12*4 = 48
12*9 = 108
108 + 48 + 24 = 180
the three angles are: 24, 48 and 108
Answer:
Step-by-step explanation:
Statements Reasons
1). AD ≅ BC 1). Given
2). ∠D ≅ ∠C 2). Given
3). ∠DEA ≅ ∠CEB 3). Vertically opposite angles
4). ΔADE ≅ Δ BCE 4). AAS postulate of congruence
5). AE ≅ BE 5). CPCTC
Hence, proved.
Answer:
p(6,3)=120
Step-by-step explanation:
In the pic is how to do it
