Answer:
B) ASA
Step-by-step explanation:
The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles)
In this case, angle U, side UY and angle Y are congruent to angle U, side UW and angle W
Answer:
option 3
Step-by-step explanation:
4x+8<-16
x<-6
4x+8_>-16
x_>-1
(it's more and equal .so the circle has to be shaded and move to the right of -1)
The interval

corresponds to the part of the distribution lying within 2 standard deviations of the mean (since 500-2*100=300 and 500+2*100=700). The empirical rule states that approximately 95% of the distribution is expected to fall in this range.
<h2>
Answer:</h2>
-1/3x
<h2>
Step-by-step explanation:</h2><h3>Known :</h3>
- x1 = -3
- x2 = 0
- y1 = 1
- y2 = 0
<h3>Asked :</h3>
<h3>Solution :</h3>
We can find the straight line equation using this formula,

Insert all we know inside the formula,

Use cross multiplication,
3(y - 1) = -1(x + 3)\
3y - 3 = -x - 3
3y = -x - 3 + 3
3y = -x
y = -1/3x
<h3>Conclusion :</h3>
The correct equation is y = -1/3x
Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
= 
substitute the given values
= 
sin (B) =
Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
= 
substitute the given values
= 
c =
SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle