Using the two parallel line theorems we proved that ∠8 ≅ ∠4.
In the given question,
Given: f || g
Prove: ∠8 ≅ ∠4
We using given diagram in proving that ∠8 ≅ ∠4
Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So
∠8≅∠6
Then by the Vertical Angles Theorem which states that "When two straight lines collide, two sets of linear pairs with identical angles are created."
∠6≅∠4
Then, by the Transitive Property of Congruence which states that "All shapes are congruent to one another if two shapes are congruent to the third shape."
∠8 ≅ ∠4
Hence, we proved that ∠8 ≅ ∠4.
To learn more about parallel line theorems link is here
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X^2 - 8x + 13 = 0
subtract 13 from both sides
x^2 - 8x = -13
-8/2 = -4, (-4)^2 = 16, add 16 to both sides
x^2 - 8x + 16 = -13 + 16
factor the left side
(x - 4)^2 = 3
To determine the correct ordered pairs which will agree with the function, we can substitute values to the function and see whether it agree with each other. We do as follows:
<span>(0,1)
</span><span> f(x)=128(0.5)^0
</span><span> f(x)=128
</span><span>
(1,64)
</span><span> f(x)=128(0.5)^1
</span>f(x) = 64 <--------CORRECT ANSWER<span>
(3,16)
</span><span> f(x)=128(0.5)^3
f(x) = 16 <--------CORRECT ANSWER
</span><span>
(8,0.5)
</span><span> f(x)=128(0.5)^8
f(x) = 1/2
Hope this answers the question. Have a nice day.</span>
Answer:
you cant solve for x but
55x/11x=5x
Step-by-step explanation:
