Answer:
x=1.33 repeating or 1 1/3
Step-by-step explanation:
You take 4 and distribute to everything in the parentheses.
You also do the same for the -4.
After you distribute, you should get: 4x+24=-8x+36+3x
Then you combine like terms (the two x's on the right side of the equation.
You should then get: 4x+24=-5x+36
Next, you subtract 24 from the positive 24, to cancel it out, and the 36 to get 12.
Then, add 5x to the negative 5x, to cancel it out, and to the 4x to get 9x.
Finally, you divide 12 by 9 to get 1.33 repeating or 1 1/3.
Answer:
.416
Step-by-step explanation:
(-.04)^3=-.064
(-.064)-(-.04^2)(-3)
(-.064)-(.16)(-3)
(-.064)-(-.48)
.416
Answer:
the answer is 120 feet
Step-by-step explanation:
Given: An Isosceles trapezoid EFGH in which EF =GH
To prove: ΔFHE ≅ ΔGEH
Proof: In Isosceles trapezoid EFGH, Considering two triangles ΔFHE and ΔGEH
1. FE ≅ G H → [ Given]
2. ∠H = ∠E
→ Draw GM⊥HE and FN ⊥EH, and In Δ GMH and ΔFNE,
GH=FE [Given]
∠M+∠N=180° so GM║FN and GF║EH, So GFMN is a rectangle.]
∴ GM =FN [opposite sides of rectangle]
∠GMH = ∠FNE [ Each being 90°]
Δ GMH ≅ ΔFNE [ Right hand side congruency]
→∠H =∠E [CPCT]
→ Side EH is common i.e EH ≅ EH .
→ΔFHE ≅ ΔGEH. [SAS]
What are the coordinates of the points of tangency? Yes, it's *that* trivial.
<span>Apply the Pythagorean theorem to get the distance of r √2.</span>