m∠5 = x + 1
m∠5 = 60°
Solution:
Given data:
Line a and Line b are parallel lines.
The line that crosses both a and b is a transversal line.
m∠1 = x + 1 and m∠6 = 2x + 2.
<em>If two parallel lines cut by a transversal, then their corresponding angles on the same side are congruent.</em>
∠5 and ∠1 are corresponding angles.
⇒ m∠5 = m∠1
⇒ m∠5 = x + 1
Now, ∠5 and ∠6 forms a linear pair.
m∠5 + m∠6 = 180°
x + 1 + 2x + 2 = 180°
3x + 3 = 180°
Subtract 3 from both sides.
3x = 177°
Divide by 3 on both sides.
x = 59°
m∠5 = 59° + 1° = 60°
m∠5 = 60°
Since on a straight line 57+b=180
b=123
Answer:
T.A. = 144 + 36√3 units²
Step-by-step explanation:
∵ The total surface area of the pyramid = the sum of the area of
the four faces (one base and 3 side faces)
∵ The 3 side faces have the same dimensions 12 , 10 , 10
∴ the area of the 3 faces = 3 × 1/2 × 12 × h
∵ The height of each triangle is ⊥ to its base
∵ The triangle are isosceles
∴ The height bisects the base
∴ h² = 10² - 6² = 64
∴ h = √64 = 8
∴ The area of the 3 triangles = 3 × 1/2 × 12 × 8 = 144 units²
∵ The base is equilateral Δ with side length 12
∵ Area equilateral triangle = 1/4 × s² × √3
∴ The area of the base = 1/4 × (12)² × √3 = 36√3 units²
∴ T.A. = 144 + 36√3 units²
we know that
The x-intercept is the value of x when the the value of y is equal to zero
and
The y-intercept is the value of y when the the value of x is equal to zero
In the graphed function we have that
the value of x when the the value of y is equal to zero is
therefore
<u>the x-intercept is equal to the point </u>
the value of y when the the value of x is equal to zero is
therefore
<u>the y-intercept is equal to the point </u>
<u>the answer is</u>
x-intercept = (–1, 0)
y-intercept = (0, –3)