Answer:
Option B. AA
Step-by-step explanation:
we know that
Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar
In this problem
<em>In the triangle XYZ</em>
∠X=70°
∠Y=90°
∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)
<em>In the triangle UWV</em>
∠V=20°
∠W=90°
∠U=90°-20°=70° (remember that angle V and angle U are complementary)
therefore
Traingles XYZ and UWV are similar by AA Similarity Postulate
Answer:
10/3
Step-by-step explanation:
|x+3|=4x-7
So |-(x+3)|=|x+3|
We are going to try out two cases:
-(x+3)=4x-7 and x+3=4x-7
-x-3=4x-7 3=3x-7
-3=5x-7 10=3x
4=5x x=10/3
x=4/5
We are going to test out both because we could something that isn't actually a solution, this is called extraneous.
First thing I'm going to check is 4x-7 for it being positive.
4(4/5)-7=20/5-7=-15/5=-3 so 4/5 will not work because absolute value result can't be negative
4(10/3)-7=40/3-7=19/3 which is positive
checking |x+3| to see if is 19/3 for x=10/3 we see that is so that is the answer
Answer:
the answer would be 2
Step-by-step explanation:
you'll get the answer by dividing
Answer:
a. 1 b. 3/5 or 60%
Step-by-step explanation:
number of favourable events/number of total events
3x/5x = 3/5
One revolution is completed when a fixed point on the wheel travels a distance equal to the circumference of the wheel, which is 2π (13 cm) = 26π cm.
So we have
1 rev = 26π cm
1 rev = 2π rad
1 min = 60 s
(a) The angular velocity of the wheel is
(35 rev/min) * (2π rad/rev) * (1/60 min/s) = 7π/6 rad/s
or approximately 3.665 rad/s.
(b) The linear velocity is
(35 rev/min) * (26π cm/rev) * (1/60 min/s) = 91π/6 cm/s
or roughly 47.648 cm/s.
