Answer:
1. x = 2
2. b = 16, a = 32
3. d = 15, c = 90
4. s = 12, t = 71
5. The height of the flagpole is 10
6. The shadow of the tree is 18 feet long
Distance from J to F = b
D from F to K = a
a^2+b^2=JK^2
D from K to G = a
D from G to L = b
a^2+b^2=KL^2
D from L to H = b
D from H to M = a
a^2+b^2=LM^2
D from M to E = a
D from E to J = b
a^2+b^2=MJ^2
For each side, I used the Pythagorean theorem (a^2+b^2=c^2) to find the length. Since every side of the quadrilateral squared (aka to the power of two) equals a^2+b^2, every side squared equals each other. So JK^2=KL^2=LM^2=MJ^2. If you take the square root of each side of the equal signs, you’re left with JK=KL=LM=MJ. In order for a quadrilateral to be a rhombus, each side must be equivalent. Each side in this quadrilateral is equivalent, therefore it is a rhombus.
Answer:
550.16 km
Step-by-step explanation:
the percentage multiplier is 0.712
772.69 x 0.712 = 550.15528
to 2dp 550.16km
Answer:
10yx because they aren't like terms so the variables wont merge
Answer:
-10416.
Step-by-step explanation:
This is a Geometric Series with first term 4 and common ratio -5.
Sum of 6 terms = a1 . (r^6 - 1 )/ ( r - 1)
= 4 *( (-5)^6 - 1) / (-5-1)
= -10416 (answer).