Answer:
x = 21
General Formulas and Concepts:
<u>Geometry</u>
- Corresponding Angles - Angles that are congruent to each other and occur with parallel lines
Step-by-step explanation:
<u>Step 1: Identify</u>
We see that the measures given are Corresponding Angles
<u>Step 2: Solve for </u><em><u>x</u></em>
- Set up equation: 8x - 7 = 9x - 28
- Subtract 8x on both sides: -7 = x - 28
- Add 28 on both sides: 21 = x
- Rewrite: x = 21
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Measures of angles are as follows:
125°, 15°, 40°
As we know the sum of all angles in a triangle is supplementary i.e. 180°.
∠A+∠B+∠C=180°
125°+15°+40°=180°
Therefore, it is satisfying the angle sum property.
So, it can form a triangle.
Now, we will check for uniqueness.
As similar triangles need two angles to be equal by AA criteria , their sides can vary with two equal angles.
Hence, there is possibility to have many possible similar triangles with angle measures.
Therefore, Option 'D' is correct.
Answer:
x = -5.7778
Step-by-step explanation:
1) 8x + 8 + x -2 = 48 (You multiply the -4 into both -2x and -2, thus getting rid of the brackets)
2) 9x + 6 = -48 (Add the two values of x (8x + x) and then subtract the 2 from 8 = 6)
3) 9x =-46 - 6 (Move the 6 mover, which will change its sign from a (+) to a (-6))
4) 9x = -52 (Do the expression, and you get -52)
5) x = -52 / 9 (Isolate the x, by dividing both sides by it)
6) x = -5.7778 (Round the answer)
