Answer:
Equilateral triangle will always have a perpendicular bisector that is also an angle bisector.
Step-by-step explanation:
Equilateral triangle property:
- All sides of the equilateral triangle are equal.
- Angle of every equilateral triangle are equal to 60°.
- Every altitude of an equilateral triangle is also a median and a bisector.
- Each median is also an altitude and a bisector.
- Each bisector is also an altitude and a median.
Therefore, by equilateral triangle property;
Perpendicular bisectors are angle bisectors in an equilateral triangle Since, all sides and angles are the same in an equilateral triangle.
Also, the angle bisector of an equilateral triangle forms 90 degree angle with the opposite side and bisects that side.
Answer: There's an increasing interval between -1 and 1
While x goes from -1 to 1, the value of y increases (from -2 to 2).
Answer:
Bar Graph
Step-by-step explanation:
Bar graphs are used to compare things between groups or tracks. They are the most efficient because the set data is set to change at any time
Answer:
The height of tree house is 70.71 feet
Step-by-step explanation:
We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground
Refer the attached figure
Length of rope AC = Hypotenuse =100 feet
The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =
We are supposed to find the height of tree house i.e.AB = Perpendicular
So, Using trigonometric ratio

Hence The height of tree house is 70.71 feet
The maximum number of microwave ovens the two employees can take on the elevator is 7.
<h3>How to find the maximum number of microwave ovens the two employees can take on the elevator?</h3>
To solve the question, we have to find the simple equation showing the relationship between all the weights an the maximum weight the elevator can carry
Let
- x = number of microwave ovens
Since the micro wave weighs 45 pounds, the total weight of microwave ovens is W = 45x.
Also, there are 20 televisions on the elevator. If each television weighs 85 pounds, the total weight of televisions is W' = 20 × 85 = 1700 pounds
Also, the weight of the equipment and the two employees is W" = 400 pounds.
Since the maximum weight on the elevator is 2400 pounds, we have that the required simple equation is
W + W' + W" = 2400
45x + 1700 + 400 = 2400
45x + 2100 = 2400
45x = 2400 - 2100
45x = 300
x = 300/45
x = 6.67
x ≅ 7
So, the maximum number of microwave ovens the two employees can take on the elevator is 7.
Learn more about simple equation here:
brainly.com/question/26184005
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