Billy, let's recall what a linear pair of angles is:
• They are formed when two lines intersect.
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• Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
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• The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Upon saying that we have that:
• CAD and DAE are linear pairs
,
• CAD and CAB are linear pairs
,
• DAE and BAE are linear pairs
,
• DAE and DAC are linear pairs
Now, you are ready to select all the options that actually apply.
<h3>
Answer: 80 meters</h3>
This is an isosceles triangle. The dashed line is the height which is perpendicular to the base 120. The height is always perpendicular to the base. The dashed line cuts the base into two equal pieces (this only works for isosceles triangles when you cut at the vertex like this).
So we have two smaller triangles each with a base of 60 and a height of x. Focus on one of the right triangles and use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
x^2 + (60)^2 = (100)^2
x^2 + 3600 = 10000
x^2 = 10000 - 3600
x^2 = 6400
x = sqrt(6400)
x = 80
Each smaller right triangle has side lengths of 60, 80, 100
Note the ratio 60:80:100 reduces to 3:4:5. A 3-4-5 right triangle is a very common pythagorean primitive.
Answer:
y axis over x axis is the right answer
Answer:
5
Step-by-step explanation:
5,2,9,7,4
2,4,5,7,9
Median = 5
If the area of the old garden was 1m^2, then the side lengths were both 1
if she increases the lengths by 50%, then 1 turns into 1.5
1.5 times 1.5 is 2.25
The area of her new garden is 2.25m^2