#4 is b. you use the law of sines to find the missing angles and side lengths.
Answer:
- a. incorrect
- A. equal to
- 59.20 ÷ 10 = 5.920
Step-by-step explanation:
What Douglas doesn't seem to realize is that it is not the act of removing the trailing zero that gives division by 10. It is the act of moving the decimal point left one place that divides the number by 10.
Question 15
This is an isosceles triangle, which means the base angles given are equal.
x^2 = 3x + 10
x^2 - 3x - 10 = 0
(x - 5)(x + 2) = 0
Set each factor to 0 and solve for x.
x - 5 = 0
x = 5
x + 2 = 0
x = - 2
Reject x = -2.
Angle D = 5^2 ir 25°.
Angle E = 3(5)+10 or 25°.
The total measure of the angles of any triangle is 180°.
So, angle F = 180° - 50°.
Angle F = 130°.
Answer:
Step-by-step explanation:
If the given is the parallelogram, its opposite sides are parallel.
<u>It means the slopes of those lines are equal:</u>
- AB ║ CD
- (y₂ - y₁)/(x₂ - x₁) = (y₄ - y₃)/(x₄ - x₃)
If the parallelogram is a rectangle, then its adjacent sides are perpendicular.
<u>It means the product of slopes of those lines is - 1:</u>
- CD ⊥ AD or CD ⊥ BC
- (y₄ - y₃)/(x₄ - x₃) × (y₄ - y₁)/(x₄ - x₁) = - 1
or
- (y₄ - y₃)/(x₄ - x₃) × (y₃ - y₂)/(x₃ - x₂) = - 1
The matching choice is combination of AB ║ CD and CD ⊥ BC.
Correct choice is C
