Answer:
133°
Step-by-step explanation:
Let the measure of one angle be x, then the measure of the other angle is
3x - 8
Supplementary angles sum to 180°
Sum the 2 angles and equate to 180
x + 3x - 8 = 180
4x - 8 = 180 ( add 8 to both sides )
4x = 188 ( divide both sides by 4 )
x = 47
The larger angle = 3x - 8 = (3 × 47) - 8 = 141 - 8 = 133°
Answer:
csc(-112°)=-csc(68°)
Step-by-step explanation:
Since cosec(x) and sin(x) are reciprocals of each other,
cosec(-112°)=
=
=
(since 112=180-68)
=
(since sin(180-x)=sinx)
=
(since 
)
=-cosec(68°)
A. m/5
That is the answer because there are 5 of you, and the money is divided between 5 people.
X = measure of angle 1
y = measure of angle 2
z = measure of angle 3
w = measure of angle 4
Focus on the bottom triangle. The three angles add to 180 degrees
(angle 2) + (angle 3) + 116 = 180
y+z+116 = 180
y+z= 180-116
y+z= 64
Since we have the bottom triangle as isosceles, this means that y = z, so
y+z = 64
y+y = 64
2y = 64
y = 64/2
y = 32
making z = 32 as well
Similarly, angle 1 and angle 4 are 32 degrees because the 116 angle is opposite the top left-most angle, and congruent to this angle. In other words, the bottom triangle is a mirror image of the top triangle.
The figure is a rhombus because all four sides are the same length (as shown by the tickmarks)
-----------------------------------------------------------
Answer:
This figure is a rhombus
All four angles (angle 1 through angle 4) are the same measure. They are each 32 degrees
Answer:
Not independent
Explanation:
Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.
