Answer:
the answer is Y=(6/17)X + (285/17)
Step-by-step explanation:
1. Identify the X and Y coordinate of each point.
for example, the first point could be (12,21), therefore X1 = 12 and Y1 = 21 and the second point is then (46,33), therefore X2 = 46 and Y2 = 33
2. to find the equation of the line it is necessary to find the slope.
knowing that the equiation of the slope is M = Y2-Y1/X2-X1 we replace
and then we simplify the result to 
3. Using the Point-slope equation which is Y-Y1=M(X-X1) we replace
Answer:
TRUE
Step-by-step explanation:
We are given 2 triangles, ∆ABC and ∆DEF.
For the two trinagles to be considered similar, both must have their set of corresponding angles congruent to each other. That is, their corresponding angles are equal.
From the information given, the following are the set of corresponding angles:
<B = <E = 31°
<B = <D = 90°
<C = <F = 59° [180 - (90+31)]
The corresponding angles of both triangles are congruent. Therefore, it is guaranteed that ∆ABC is similar to ∆DEF (∆ABC ~ DEF).
15.
I had x before the movie.
x - 13.50 = 26.50
Add 13.50 to both sides of the equation:
x = 40
I had $40 before the movie.
16.
The original balance was x.
x - 161.15 = 423.28
Add 161.15 to both sides:
x = 584.43
The previous balance was $584.43
Step-by-step explanation:
It is given that the angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum of 540.
<u>Let me define the each terms.</u>
1. We know that each angle in a triangle is 60°, So there is a three angle in a regular triangle.
2. We know that each angle in a rectangle, is 90°, So there is a four angle in a regular rectangle.
Similarly,
- There is 8 angle in a regular octagon and each angle measurement is 135°.
So, sum of the angles of an octagon = 135° × 8
Sum of the angles of an octagon = 1080°
Therefore, the required sum of the angles of an octagon is 1080°
Answer:
a = √10
Step-by-step explanation:
a² + b² = c²
a² + 9² = (√91)²
a² + 81 = 91
a² = 10
a = √10
hope this helps :)
