Answer:
Picture 1: 40 degrees
Picture 2: 90 degrees
Picture 3: 65 degrees
Picture 4: 85 degrees
Step-by-step explanation:
(2x-5) + (x+25) + (x) = 180
4x=160, x=40
180-90 = 90
2(65)+12+38 = 180
2x=40, x=20
6(20)-25 = 95
180-95 = 85
Let's do this step by step:
Subtract both sides by 7
-2|x-4|= -10
Divide each side by -2
|x-4|= 5
Now since this is an absolute value equation, you will have two answers. This means you make the equation both positive and negative.
X-4= 5and -(x-4)= 5
Solve for x for both
X-4= 5: add four on both sides
X= 9
-x+ 4= 5: subtract 4 and divide by -1
X= -1
So your answer is: X= -1 , 9
To find the axis of symmetry you use the formula: x=-b/2a
The axis of symmetry is also the x point of the vertex so to find the y point you just plug in the axis of symmetry in for x to find the y point.
Answer/Step-by-step explanation:
a. First, find the value of a.
Sum of the interior angles of a triangle = 180° (triangle sum theorem)
Therefore:
3a + 2a + a = 180°
Add like terms
6a = 180°
6a/6 = 180/6
a = 30
Thus:
a = 30°
2a = 2(30) = 60°
3a = 3(30) = 90°
b. The triangle is an isosceles triangle because it has two sides that are indicated to be equal. This also implies that the angels opposite each of the equal sides are also congruent to each other.
Therefore, sum of the isosceles triangle would be:
2(2x) + 5x = 180°
4x + 5x = 180
9x = 180
9x/9 = 180/9
x = 20
Thus:
2x = 2(20) = 40
5x = 5(20) = 100
Answer:
b=9
(assuming you meant -6x) x = -2
h = -4
a = 6
Step-by-step explanation: