Answer:
Step-by-step explanation:
Considering the given triangle EDI, to determine ED, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
ED/SinI = DI/SinE = EI/SinD
Therefore
Recall, the sum of the angles in a triangle is 180°. Therefore,
I° = 180 - (36 + 87) = 57°
Therefore,
ED/Sin 57 = 26/Sin 36
Cross multiplying, it becomes
EDSin36 = 26Sin57
0.588ED = 26 × 0.839
0.588ED = 21.814
ED = 21.814/0.588
ED = 37.1 m
Answer:
219/16
Step-by-step explanation:
X * 0.09 + (18000-x)*0.19= 3000
x*(-0.1) + 3420 = 3000
x = -420/(-0.1)
x = 4200
The bank loaned out $4,200 at 9%
Answer:
1. x = 5
Step-by-step explanation:
1.
The Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.
In this problem you can see that 5x - 1 is the midsegment of the trapezoid, so using the rule:

solve:

2. Diagonals are congruent
You can see in this picture that the diagonals are not always congruent: