\[\sum_{n=1}^{7} 2(-2)^{n-1}\]
Step-by-step explanation:
Put the values of x = 6, y = -7 and z = 0.8 to the expressions:
a) 5x → 5(6) = 30
b) 3y → 3(-7) = -21
c) 10z → 10(0.8) = 8
A tangent line creates a 90 degree angle with a radius line that touches the tangent Line.
Line BC is a radius that touches the tangent line at point C
The angle created is 90 degrees.
The answer is C. 90 degrees.
LY = 5.2 , TY = 3.9
Δ LTN is a right triangle , ∠T = 90° , TY⊥LN
∴ TY² = LY * YN
∴ 3.9² = 5.2 * YN
∴ YN = 3.9²/5.2 = 2.925
∴ LN = LY + YN = 5.2 + 2.925 = 8.125
Δ LYT is a right triangle , ∠Y = 90°
LT² = LY² + YT² = 5.2² + 3.9² = 42.25
∴ LT = √42.25 = 6.5
Δ NYT is a right triangle , ∠Y = 90°
NT² = NY² + YT² = 2.925² + 3.9² = 23.765
∴ NT = √23.765 = 4.875
The preimeter of the rectangle LINT = 2 * (LT + TN)
= 2 * ( 6.5 + 4.875 )
= 2 * 11.375
= 22.75
(3x-9) +(x+19)+x=180
5x+10=180
-10=-10
5x=170
5 = 5
x=34
2x+(2x+10)+x=180
5x+10=180
-10=-10
5x=170
5 = 5
x=34
yes they are similar
