Answer:
Angle pair types
Pairs of Angles
Complementary Angles. Two angles are complementary angles if their degree measurements add up to 90°. ...
Supplementary Angles. Another special pair of angles is called supplementary angles. ...
Vertical Angles. ...
Alternate Interior Angles. ...
Alternate Exterior Angles. ...
Corresponding Angles.
Step-by-step explanation:
Angle pair types
Pairs of Angles
Complementary Angles. Two angles are complementary angles if their degree measurements add up to 90°. ...
Supplementary Angles. Another special pair of angles is called supplementary angles. ...
Vertical Angles. ...
Alternate Interior Angles. ...
Alternate Exterior Angles. ...
Corresponding Angles.
Answer:
4
Step-by-step explanation:
We'll begin by calculating the slope of the equation. This is illustrated below:
y = 4/3x + 1
Comparing the above equation with:
y = mx + c
The slope (m) of line is 4/3.
Next, we shall determine the slope of the equation perpendicular to:
y = 4/3x + 1
This is illustrated below:
When two lines are perpendicular, their slope are related as:
m2 = – 1/m1
From the above, m1 = 4/3
m2 = –1 ÷ 4/3
m2 = –1 × 3/4
m2 = – 3/4
Next, we shall determine the equation passing through (4, 1). This is illustrated below:
y – y1 = m(x – x1)
y1 = 1
x1 = 4
m = – 3/4
y – y1 = m(x – x1)
y – 1 = –3/4 (x – 4)
y – 1 = –3/4x + 3
y = –3/4x + 3 + 1
y = –3/4x + 4
Comparing:
y = –3/4x + 4 with y = mx + c
The y-intercept, c is 4.
Answer:
-22.31
Step-by-step explanation:
subtract both answers to give you that
Answer:
Null hypothesis: <em>H₀</em>: <em>p</em>₁ = <em>p</em>₂.
Alternate hypothesis: <em>H₀</em>: <em>p</em>₁ ≠ <em>p</em>₂.
Step-by-step explanation:
A statistical experiment is conducted to determine whether the proportions of unemployed and underemployed people who had relationship problems were different.
Let <em>p</em>₁ = the proportion of unemployed people who had relationship problems and <em>p</em>₂ = the proportion of underemployed people who had relationship problems.
A hypothesis test for difference between proportions, can be conducted to determine if there is any difference between the two population proportions.
Use a <em>z</em>-test for the test statistic.
The hypothesis test is:
<em>H₀</em>: There is no difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: There is a significant difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ ≠ <em>p</em>₂.
Answer:
Step-by-step explanation:
<u>Area of triangle:</u>
We have the value of b but not h.
Added auxiliary segments which help to find the value of h.
<em>See attached for details</em>
- sin 40° = h/4
- h = 4 sin 40°
- h = 2.57 km
<u>The area is:</u>
- A = 1/2*6*2.57 = 7.71 km²
