Answer/Step-by-step explanation:
1. An isosceles ∆ has two equal sides. The base angles of an isosceles ∆ are also equal.
Therefore:
m<U = 54° (base angle of isosceles ∆)
m<T = 180 - (54 + 54) (sum of ∆)
m<T = 72°
2. ∆LMN is an isosceles ∆, therefore:
m<M = ½*(180 - 28) = 76°
m<N = m<M (base angle of isosceles)
m<N = 76°
3. ∆FEG is an isosceles ∆, because it has two equal base angles.
Therefore:
EF = FG
EF = 18 in
m<F = 180 - (23 + 23) = 134°
4. ∆PQR is an equilateral ∆. All sides and angles of an equilateral ∆ are equal.
Therefore:
m<P = 60°
m<Q = 60°
m<R = 60°
5. 4x + 23 = 10x - 1 (2 asides of an isosceles ∆ are equal)
Collect like terms
4x - 10x = -23 - 1
-6x = -24
Divide both sides by -6
x = 4
6. 2*(9x - 25) = 180 - 104 (base angles of isosceles ∆)
18x - 50 = 76
Add 50 to both sides
18x = 76 + 50
18x = 126
Divide both sides by 18
x = 7
7. 5x - 7 = 8x - 55 (base angles of an isosceles)
Collect like terms
5x - 8x = 7 - 55
-3x = -48
Divide both sides by -3
x = 16
8. 4x + 8 = 60° (angle of an equilateral ∆)
Subtract 8 from each side
4x = 60 - 8
4x = 52
Divide both sides by 4
x = 13
Answer:
The square root of 36/16
Step-by-step explanation:
When you simplify all of them like the square root of 36/6 it would 2.4494897.... which is a non termination decimal (so this is IRRATIONAL)
The square root of 6 is not a rational number because its a non termination decimal ----> 2.4494897.... (or you can say its like the same thing as the first one just you simplified so its IRRATIONAL)
The square root of 36/16 is RATIONAL because when you simplify you get 1.5 and you can turn that into a fraction
And finally the last one the square root of 16/6 is not a rational number because you get 1.632993...... as an answer which is IRRATIONAL
Hope this helps!!!!
Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the system of equations:
Solve for "y" from the first equation in order to write it in Slope-Intercept form:
Since the lines have different slopes, they cannot be parallel or coincident. Therefore, they are Intersecting.
Answer:
Step-by-step explanation:
PQ is the height of the triangle, which is also known as the altitude.
First, we find the volume.
V=pir^{2}h
V=pi(2)^{2}6
V=pi(4)6
V=75.4
Now, we use this as the capacity and multiply it by the weight of the water.
75.4*62.5=4712.5
4712.5, the 5 means we round up, so your answer is 4713. Hope this helped!
<span>
</span>