We know, widest angle is always opposite to the largest side of the triangle, as largest side is 50 here (which is backward to house) so largest angle would be opposite to it. So, that corner will be touched by Fence A & B
"Proportionality Theorem" compares the sides of the same triangle
Here, According to that theorem,
ST / RS = UT / PU
If FG is an altitude, then <DFG is an right triangle.
In short, Your Answer would be Option B
For last question here, remember, longest side must be greater than either side, and must be smaller than sum of those smaller sides.
Answer:
Option A earns higher interest($84115.58)
the difference in interest between the two option is $197.9
Step-by-step explanation:
In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns
Given data
Principal P= $43,000
Rate r= 6%= 0.06
time t= 3years
n= 4 (applicable for compound interest compounded quarterly)
solving for option A gives her 6% compounded quarterly
the compound interest formula is
Interest is 
=$8411.58
solving for option B which gives her 6% simple interest annually
the simple interest formula is
Interest is
= $8213.68
calculating the diference in interest between the two options we have
= $197.9
Option A earns higher interest
Hello :)
here you need to use the slope intercept formula to find your equation:
y= mx+b
b= the y- intercept
m= the slope
we are already given the slope and the x & y
y=-3x+(-2)
your answer would be a) y = -3x - 2
<span>216,000,000
</span><span>2.2 × 10 to the 3rd power = 2.2 * 10^3 = 2,200
</span>3.1 × 10 to the 7th power = 3.1 * 10^7 = 31,000,000
<span>310,000
Increasing order:
</span>2,200 , 310,000 , 216,000,000 , 31,000,000
So increasing order with original numbers:
2.2 × 10 to the 3rd power, 310,000, <span>216,000,000, 3.1 × 10 to the 7th power</span>
Answer:
The measure of JK is 60
Step-by-step explanation:
It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.
The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .
According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third si
