Answer:
The measure of the angle NET is 65 degrees (choice #2)
Step-by-step explanation:
Because ET is tangent, <NTE is 90 degrees. Since we are given <TNG=25 degrees, we can use the fact that the sum of the angles in the triangle ENT is 180 degrees to calculate the remaining <NET:
<NET = 180 - 90 - 25 = 65 degrees
Answer:
The answer is below
Step-by-step explanation:
1)
mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65
Given that the confidence level (c) = 90% = 0.9
α = 1 - c = 0.1
α/2 = 0.05
The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65
The margin of error (E) is given as:

The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)
2)
mean (μ) = 23, SD(σ) = 12, sample size (n) = 45
Given that the confidence level (c) = 88% = 0.88
α = 1 - c = 0.12
α/2 = 0.06
The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56
The margin of error (E) is given as:

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)
Answer:
because all triangle's interior angles add up to 180 degrees so and angles 8 and 9 are supplementary. Angle 9 is 77 degrees.
Step-by-step explanation:
because all triangle's interior angles add up to 180 degrees so and angles 8 and 9 are supplementary. Angle 9 is 77 degrees.
1. 2x+8=3x+10
Step 1: Subtract 3x from both sides.
2x+8(-3x)= 3x+10 <span>(-3x)
</span>-x+8=10
Step 2: Subtract 8 from both sides.
-x+8 (-8) = 10 <span>(-8)
</span>-x=2
Step 3: Divide both sides by -1.
-x/(-1)=2/(-1)
x=-2
Answer= x=-2
2. -3x+9=2x-1
Step 1: Subtract 2x from each side.
-3x (-2x) +9= 2x-1 <span>(-2x)
</span>-5x+9=-1
Step 2: Subtract 9 from both sides.
-5x+9 (-9)=-1 (-9)
-5x=-10
Step 3: Divide -5 from both sides.
-5x/-5= -10/-5
x=2
The answer is 2.
3. 4x-7=5x-6
Step 1: Subtract 5x from both sides.
4x-7 (-5x)= 5x-6 (-5x)
-x-7=-6
Step 2: Add 7 to both sides.
-x-7 (+7)= -6 (+7)
-x=1
Step 3: Divide each side by -1.
-x/-1=1/-1
x=-1
The answer is -1.
Answer:
The resistance approaches infinity
Step-by-step explanation:
We are given
The resistance, R, to electricity of a cylindrical-shaped wire is given by the equation

where
p represents the resistivity of the wire’s material
L represents the length of the wire
d represents the diameter of the wire
now,
d approaches to 0
so, we can plug d=0 and find R



So,
The resistance approaches infinity