Answer/Step-by-step explanation:
1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°
2. m<ECF = m<BCD (corresponding angles)
m<ECF = 38° (substitution)
3. m<DCF + m<ECF = 180° (linear pair)
m<DCF + 38° = 180° (substitution)
m<DCF = 180° - 38° (Subtraction property of equality)
m<DCF = 142°
Answer:
f)
e)
d)
c)
b)
a)
Step-by-step explanation:
- m∠5 ≅ m∠4; Angle Correspondence Theorem
- m∠5 ≅ m∠1; Alternate Interior Angles Theorem
- m∠6 ≅ m∠2; Alternate Exterior Angles Theorem
- 180° = m∠2 + m∠1; Definition of Linear Pair [Supplementary Angles]
- 180° = m∠5 + m∠3; Definition of Linear Pair [Supplementary Angles]
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Answer:
0 ≤ x ≤ 70
Step-by-step explanation:
The range is defined by all values in the y-axe that are represented in the graph. In this case, we see the graph goes from 0 to 70, that will be the range.
PD. The representation is a non function.
<u>Answer:</u>
- Slope = 27/11
- AB = 29.15 u
<u>Step-by-step explanation:</u>
<u>Given :- </u>
- Two points are given to us .
- The points are A(7,15) and B(18,42)
<u>To Find</u> :-
- The slope of the line .
- The length of line AB .
We can find the slope of the line passing through the points and as ,
- Plug in the respective values ,
<u>Hence the slope of the line is 27/11 .</u>
<u>Finding the length of AB :-</u>
- We can find the distance between them by using the Distance Formula .
<u>Hence the length of AB is 29.15 units .</u>
For this case we have the following quadratic equation:
Where:
By definition, the discriminant of a quadratic equation is given by:
We have to:
Two different real roots
Two different complex roots
Two equal real roots
Substituting the values we have:
So, we have two different complex roots
Answer:
Two different complex roots