Answer:
9. x = 7
10. x = 12
Step-by-step explanation:
Assume the two lines are parallel.
9. The corresponding angles are congruent.
9x - 3 = 7x + 11
2x = 14
x = 7
10. The alternate interior angles are congruent.
5x - 20 = 2x + 16
3x = 36
x = 12
(for the 2nd question) They are similar because the 2nd triangle is just a smaller version of the first one.
I am sorry but i don't know what theorem means :(
Hope i could hope some
Answer:
Option 1: {-7,5,18,24,32}
Step-by-step explanation:
Observing the number line we can see that the solution is
x≤18 and x>22
So we will check the options one by one
For {-7,5,18,24,32}
The number set satisfies the solution translated from the number line.
For {-9,7,15,22,26}
As this number set includes 22 which is not included in the solution so this option is not correct.
For {16,17,22,23,24}
This number set also includes 22 so the option is not correct.
For {18,19,20,21,22}
This number set includes 19,20,21,22 which is not a part of the solution. Therefore, this option is also not correct ..
The correct answer is
The explicit formula is of the form
,
where a₁ is the first term and r is the common ratio. Comparing this to our explicit form, we see that r = -4 and a₁ = 7.
The recursive formula is of the form
; using r=-4 gives us
Multiplying out the equation (x + 2)(4x - 3) and arranging in descending powers order gives us the quadratic form as; 4x² + 5x - 6
<h3>How to expand quadratic equations?</h3>
We want to expand the quadratic equation given as;
(x + 2)(4x - 3)
Multiplying out gives us;
4x² + 8x - 3x - 6
⇒ 4x² + 5x - 6
Thus, we can conclude that multiplying out the equation (x + 2)(4x - 3) and arranging in descending powers order gives us the quadratic form as; 4x² + 5x - 6
Read more about Quadratic equations at; brainly.com/question/1214333
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