Angle 1 is a "corresponding angle" with respect to the one marked 155°, so it has the same measure. The measure of angle 1 is ...
... 155°
Answer: The tangent of the larger acute angle is 4/3 or 1⅓
Step-by-step explanation: if the sides of the right angled triangle are given as 3, 4 and 5 respectively, then the hypotenuse is 5 and the longer of the other two sides is 4. The angle facing the side measuring 4 is your reference angle, and that is the larger of the other two acute angles (see attachment)
Tan X = opposite/hypotenuse
Tan X = 4/3
Tan X = 1⅓
16 units is the number of units but i’m not sure of distance because it doesn’t say how many units equals a feet.
We get the age of Jack is 29 years and the age of Jill is 16 years.
We are given that the sum of Jack's age and Jill's age is 45 years.
Let Jack's age be x.
Let Jill's age be y.
x + y = 45
x = 45 - y
Now, we are also given that jack's age next year will be twice Jill's age last year.
Jack's age next year = x + 1
Jill's age last year = y - 1
ATQ, We get the equation as:
x + 1 = 2( y - 1)
x + 1 = 2 y - 2
x = 2 y - 2 - 1
x = 2 y - 3
We get that:
45 - y = 2 y - 3
2 y + y = 45 + 3
3 y = 48
y = 48 / 3
y = 16 years.
x + y = 45
x + 16 = 45
x = 45 - 16
x = 29 years.
Therefore, we get the age of Jack is 29 years and the age of Jill is 16 years.
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We shall use the z-table to solve for the margin of error. The formula for the margin of error is

The value of z will be taken with the assumption that the significance level is 5%. So, α=0.025. Then

.
So, based from this, the margin of error is

The margin of error is about 2%.