Answer:
180 2,2 from a to b
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Step-by-step explanation:
Assumption:
<em>Something is missing in question. If we see deeply it is apparent that there is some issue with option b i.e. </em><em>B) 8 − 4x 10 = 4 + 2x </em><em>we assume that the questioner want to type </em><em>B) 8-4x^10 = 4 + 2x.</em>
Answer:
The correct answer is <em> </em><em>B) 8-4x^10 = 4 + 2x.</em>
Step-by-step explanation:
All equations given is the question can be solve easily to determine the value of x. However if we solve equation mentioned in option b we cannot get single answer easily.
For example value of x in eq given in option A
15x + 123 = 5x+4
1oX = -119
X = -119/10
If my memory serves me well, the only wtatement which is true is the last one: <span>D) All linear equation and all quadratic equations are polynomial equations.</span>
I'll do part (a) to get you started.
The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.
We also see that b = 123 as well since a = b (they are vertical angles).
Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.
c+123 = 180
c = 180-123
c = 57
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To summarize, we have these three angles
a = 123
b = 123
c = 57
Let us first define Hypotenuse Leg (HL) congruence theorem:
<em>If the hypotenuse and one leg of a right angle are congruent to the hypotenuse and one leg of the another triangle, then the triangles are congruent.</em>
Given ACB and DFE are right triangles.
To prove ΔACB ≅ ΔDFE:
In ΔACB and ΔDFE,
AC ≅ DF (one side)
∠ACB ≅ ∠DFE (right angles)
AB ≅ DE (hypotenuse)
∴ ΔACB ≅ ΔDFE by HL theorem.
