Answer:
Step-by-step explanation:
By the definition of a square, all the sides are the same. Our figure is marked as such. Because of this characteristic, that congruency makes the top segment of the square parallel to the bottom segment. That makes x and the vertex (top) angle in the triangle on the right congruent (these are called alternate interior angles and they are congruent when they lie on opposite sides of a transversal that cuts a pair of parallel lines).
Also, due to the nature of this type of triangle which is an isosceles triangle, both the acute angles in each triangle are congruent and the other angle is a right angle. The Pythagorean Triple for the sides in this type of triangle, which is a 45-45-90, is, from shortest side to longest side, (x, x, x√2). That means that x is a 45 degree angle.
To find the value of y, we use the Pythagorean Triple. If the side is 10.9, then the hypotenuse is 10.9√2
Choice A is the one you want.
Answer:
16 Miles
Step-by-step explanation:
For every week you simply multiply the number of miles from the previous week by 2, therefore
Week 1: 1
Week 2: 2
Week 3: 4
Week 4: 8
Week 5: 16
Answer:
units
Step-by-step explanation:
To find the distance between two points on a graph, we use the distance formula where is the distance between points and
For this problem, we will identify and :
Therefore, the distance between and is units
Answer:
4(7y-8)
Step-by-step explanation:
Use proportions to find the height of the building-
=
The x is the height of the building.
It is over 1 (the height of the other building) because both are heights.
Similar triangles are in proportion so the other fraction is in proportion to it.
Cross multiply(x times .2) (8 times 1). You will get this equation-
.2x=8
Solve for x by dividing-
x=40
Since this was done in meters, the answer is-
The building is 40 meters.