The equation of a line for the given slope is 
.
Solution:
Given data:
Slope (m) = 
Point = (–2, 0)
To find the equation of the given line in the point-slope form:
<u>Point-slope formula:</u>
Substitute the given values in the formula.
The equation of a line for the given slope is .
Answer:
Option (A).
Step-by-step explanation:
is a mixed fraction and can be written as,
[Combination of a whole number and a fraction]
When we multiply this mixed fraction by 7,
[Distributive property → a(b + c) = a×b + a×c]
Therefore, 
will be the answer.
Option (A) will be the correct option.
Answer:
take the total number of all x variables
Answer:
71°
Step-by-step explanation:
3x° + (x - 11)° + (2x - 55)° = 360°
3x + x - 11 + 2x - 55 = 360°
6x - 66 = 360°
6x = 360° + 66°
6x = 426°
x = 71°
Answer:
∠1 = 50°
∠2 = ∠3 = 130°
Step-by-step explanation:
In an isosceles trapezoid, such as this one, the angles at either end of a base are congruent:
∠1 ≅ 50°
∠2 ≅ ∠3
The theorems applicable to transversals and parallel lines also apply to the sides joining the parallel bases. In particular, "consecutive interior angles are supplementary." That is, angles 1 and 2 are supplementary, for example.
∠2 = 180° -∠1 = 180° -50° = 130°
We already know angle 3 is congruent to this.
∠1 = 50°
∠2 = ∠3 = 130°
_____
<em>Additional comment</em>
It can be easier to see the congruence of the base angles if you remove the length of the shorter base from both bases. This collapses the figure to an isosceles triangle and makes it obvious that the base angles are congruent.
Alternatively, you can drop an altitude to the longer base from each end of the shorter base. That will create two congruent right triangles at either end of the figure. Those will have congruent corresponding angles.
