The measurement of angles are :
- Angle 1 is 123°
- Angle 2 is 57°
- Angle 4 is 123°
- Angle 5 is 123°
- Angle 6 is 57°
- Angle 7 is 57°
- Angle 8 is 123°
Given,
The figure with parallel lines.
Angle 3 is given as 57°
We have to find the other angles.
∠1 + ∠3 = 180° ; Sum of transversal angles is 180°
So,
∠1 = 180 - 57 = 123°
∠2 = ∠3 ; Vertical angles are ≅
So, ∠2 = 57°
∠1 = ∠4 ; Vertical angles are ≅
So, ∠4 = 123°
∠1 = ∠5 ; Corresponding angles are ≅
So, ∠5 = 123°
∠2 = ∠6 ; Corresponding angles are ≅
So, ∠6 = 57°
∠6 = ∠7 ; Vertical angles are ≅
So, ∠7 = 57°
∠5 = ∠8 ; Vertical angles are ≅
So, ∠8 = 123°
Learn more about angles here;
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Answer: the expression (120/100)*80 results in 80% of 120
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
To find the percent of a number, write the percent as a decimal and multiply it by the number
Answer:
see explanation
Step-by-step explanation:
The y- intercept is at (0, 6) ⇒ c = 6
The x- coordinate of the vertex is at the midpoint of the zeros, that is
m =
=
= - 2
Since the zeros are x = - 3 and x = - 1 then the factors are (x + 3), (x + 1) and
f(x) = a(x + 3)(x + 1) = a(x² + 4x + 3)
Comparing with f(x) = ax² + 8x + 6 ⇒ a = 2
Thus
f(x) = 2x² + 8x + 6
Substitute m = - 2 into the equation for value of n
n = 2(- 2)² + 8(- 2) + 6 = 8 - 16 + 6 = - 2
Hence
c = 6, m = - 2, a = 2, n = - 2
Hello :)
The equation to volume of a rectangular prism is:
V=lwh
So, let's plug in the values and solve:
V=5×9.6×7
Answer: 336
Hope this helps and have a great day :D