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:
6
Step-by-step explanation:
(x + 9) * (x - 2) = 60
x^2 - 2x + 9x - 18 = 60
x^2 + 7x - 18 = 60
x^2 + 7x = 78
FACTORING:
x(x + 7) = 78
x = 6
The answer is A in my opinion
To solve this equation, first we have to use the distributive property to eliminate the parentheses on the left side of the equation.
If done correctly, your simplified equation should be
100,000 + 75,000x = 125,000
Next, we would subtract 100,000 from both sides, resulting in the equation
75,000x = 25,000
Finally, we would divide both sides of the equation by 75,000, resulting in your final answer of
x= 25,000/75,000
However, many mathematics teachers ask for fractional answers to be simplified. To simplify fractions, we first find the GCF of both numbers, and then divide both the numerator and the denominator by the GCF.
The GCF of 25,000 and 75,000 is 25,000.
So, in simplest form, your final answer is
x=1/3
Answer: a = 
Step-by-step explanation:
Rewrite the equation as 4a + 9ab=K
Factor out a of 4a + 9b
a (4 + 9b) = K
divide each term by 4 + 9b and simplify
=
