Each step of the proof are:
- a || b
- ∠1 ≅ ∠5
- ∠1 ≅ ∠5
- ∠5 ≅ ∠7
- ∠5 ≅ ∠7
- ∠1 ≅ ∠7
- ∠1 ≅ ∠7
<h3>How to complete the proof?</h3>
The given parameter is:
Lines a and b are parallel.
This is represented as; a || b
Corresponding angles are equal.
∠1 and ∠5 are corresponding angles.
So, we have: ∠1 ≅ ∠5
Also, they are congruent.
So, we have ∠1 ≅ ∠5
Vertical angles are equal.
∠5 and ∠7 are vertical angles.
So, we have: ∠5 ≅ ∠7
Also, they are congruent.
So, we have ∠5 ≅ ∠7
According to the transitive property;
If ∠1 ≅ ∠5 and ∠5 ≅ ∠7, then ∠1 ≅ ∠7
Hence, it has been proved that ∠1 ≅ ∠7
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Answer:
85%
Step-by-step explanation:
- Calculate how many students passed on their first try. 20 x 70% is 14, so 14 students passed on their first try.
- 6 students retook the test. Half of 6 is 3. Add 3 to the 14 students that passed earlier.
- Calculate the percent with the equation 17/20 = 0.85. 0.85 = 85%.
Answer:
A. Q = 4
B.
= 4/6,0 = 8,0 = 4 1/2
B = 4.17,c=4-12
456
3
C. Q =
2 = 4./2,5 = 8V3,c= 2/2
D. a = 4/3,3 = 4.2.c = 22
Step-by-step explanation:
The zeroes of the quadratic function f(x) = 6x² + 12x – 7 will be given below. Then the correct option is A.
<h3>What is a quadratic function ?</h3>
The quadratic function is given as ax² + bx + c = f(x).
For finding the zeroes of the polynomial we have to find the roots of the polynomial , The value of f(x) = 0
The given function is f(x) = 6x² + 12x – 7
Then the zeroes of the quadratic function will be
Here a =6 , b = 12 ,c = -7
Therefore the zeroes are
Therefore the correct option is A.
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