Answer:
17
Step-by-step explanation:
First, we notice that the triangle is isosceles . (In case you didn't know, the two tick marks on the sides of the triangle signify that they are congruent and have the same length.) Since the triangle is isosceles, we can apply the Base Angles Theorem.
The Base Angle Theorem states that the two angles opposite of the two congruent sides are also congruent. In this case, we can say that, because the angle measuring 29° and the third(top) angle are opposite to the two congruent sides, those two angles are congruent. Therefore, the third angle measures 29° as well.
Now that we know this, we can write the following equation:
29°+29°+(11x-65)° = 180.
Solving this equation, we have x = 17.
Hope this helps!
we have
we know that
The radicand must be greater than or equal to zero
so
the domain is is the interval--------> [-2.25,∞)
therefore
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Answer:
The speed of the current is 3 miles per hour
Step-by-step explanation:
The equations for rate (r), distance (d), and time (t) are ⇒ d = rt, r = d/t, = t = d/r
Let x = speed in still water
Let c = speed of the current
The main difference with these problems is rate needs to be expressed using two variables because moving upstream the current is against you and downstream it moves with you.
Distance Rate Time
Upstream x − c
Downstream x + c
The distance column with the numbers from the problem and the value for speed in still water for x.
Distance Rate Time
Upstream 4 5 − c
Downstream 16 5 + c
The column for time using the other two columns knowing that rate, distance ⇒ time = Distance Rate Time
Upstream 4 5 − c
5 − c
4
Downstream 16 5 + c
5 + c
16
“It takes as long …” from the problem means that the two times are equal to each other. So, the equation can be written as:
4/5− c = 16/5 + c ⇒ Solve by cross-multiplying ⇒ 5(4 + c) = 16 5( − c) ⇒ c = 3
