1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24
2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1
3. 180 = 101 = 79° = ∠2
4. 180 - 79 = 101° = ∠3
5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4
6. 180 - 101 = 79° = ∠5
7. 180 - 101 = 79° = ∠6
8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7
9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8
10. Angles 2 and 3 are supplementary, which means they add up to 180°.
I hope this helps! :)
Beth's description of the transformation is incorrect
<h3>Complete question</h3>
Beth says that the graph of g(x)=x-5+1 is a translation of 5 units to the left and 1 unit up of f(x) = x. She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x). Is Beth's description of the transformation correct? Explain
<h3>How to determine the true statement?</h3>
The functions are given as:
g(x) = x - 5 + 1
f(x) = x
When the function f(x) is translated 5 units left, we have:
f(x + 5) = x + 5
When the above function is translated 1 unit up, we have:
f(x + 5) + 1 = x + 5 + 1
This means that the actual equation of g(x) should be
g(x) = x + 5 + 1
And not g(x) = x - 5 + 1
By comparison;
g(x) = x - 5 + 1 and g(x) = x + 5 + 1 are not the same
Hence, Beth's description of the transformation is incorrect
Read more about transformation at:
brainly.com/question/17121698
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Answer:
So it's going to be 3 times 2 minus 8 3 times 2 is 6 6 minus 8 is negative 2 and that's the answer.
Step-by-step explanation: