Answer:
Y is 90 degrees.
Step-by-step explanation:
This is an equalterial triangle which means all of the angles are the same. The angle for the upper part of the triangle is 60 as well. We can do 2x=60 because they add up to the angle which is 60. This gives us x=30. If x=30 and the other angle is 60, then the other angle has to be 90 because all triangle has an angle sum of 180. So 30 +60 + 90= 180. Hope this helps!
You are absolutely right.
An equation is formed of two equal expressions. The equation of the exponential graph is A=100(0.5)ˣ.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation of an exponential function is given by the formula,
y = A (B)ˣ
Now as per the graph, there are two points (1, 50) and (2, 25).
50 = A (B)¹
50 = AB
A = 50/B
Substitute another point in the equation,.
25 = A (B)²
25 = (50/B) (B)²
25 = 50B
B = 0.5
Substitute the value of B,
A = 50/0.5 = 100
Hence, the equation of the exponential graph is A=100(0.5)ˣ.
Learn more about Equation:
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Observe the figure below.
Statement Reason
1. AC and BD bisect each other Given
2. AE = EC and BE = ED Definition of bisection
3.
Vertical angle theorem
Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".
4.
SAS criterion for congruence
5.
Corresponding angles of congruent triangles are congruent
6.
Converse of alternate interior angle theorem
7.
Vertical angle theorem
8.
SAS criterion for congruence
9.
Converse of alternate interior angle theorem
As,
, so
as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".
Answer:
1) √10 units
A=(-1, 0) let us assume (x1, y1)
B=(2, 1) let us assume (x2,y2)
distance= √(x2-x1)^2 + (y2-y1)^2
=√(2+1)^2 + ( 1-0)^2
=√3^2 + 1^2
= √10 units