Using the triangle sum theorem and the alternate interior angles theorem, the measure of ∠TUV is: 78°
<h3>What is the Triangle Sum Theorem?</h3>
In any triangle, all three angles have a sum of 180 degrees, based on the triangle sum theorem.
<h3>What is the Alternate Interior Angles Theorem?</h3>
The alternate interior angles theorem states that if two interior angles lie alternate to each other, both angles have the same measure.
Given the following:
Find m∠RSV using the triangle sum theorem:
m∠RSV = 180 - (m∠SRV + m∠SVR)
m∠RSV = 180 - (48 + 54)
m∠RSV = 78°
∠RSV and ∠TUV are alternate interior angles, therefore:
m∠RSV = m∠TUV = 78° [alternate interior angles theorem]
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Answer:
A
Step-by-step explanation:
potatoes barley and wheat are tierra fria
Mason:
time = t
V = 6 ft/s
Distance = v * t = 6t
Nora:
time = t - 60 [ I passed 1 minute to seconds]
V = 8 ft/s
Dsitance = v*t = 8 (t - 60)
Both distance are equal
6t = 8(t-60)
6t = 8t - 480
8t -6t = 480
2t = 480
t = 480/2
t = 240 s
Mason had been swimming for 240 seconds when both had swan the same distance.
Answer:
E.) 1
Step-by-step explanation:
Firstly we will solve for L.H.S.
L.H.S. =
Since we know that is the inverse of 
.
So we can say that;
Now For R.H.S.
Since we can rewrite 
as 
.
Now we can say that the R.H.S. is;
Now we add the fraction and get;
Now according to trigonometric identity;
So, 
Here,
and = 
<em> </em>
L.H.S. = R.H.S.
Hence 
If they manage to sell 
tickets, they will earn 
dollars. We want this number to be at least 1000, so the inequality would be
In order to solve this for t, you only need to divide both sides by 15:
So, they need to sell at least 67 tickets to have an income of
dollars
