The angles shown are supplementary, it means when we add them together, they add up to 180°:
Add like terms:
Divide both sides by 6 in order to isolate x:
The exterior angle is:
The interior angle is:
or
Answer:
C. 130
Step-by-step explanation:
Since the sum of the interior angles for a quadrilateral shape is 360 degrees, you take 55 and 45 away from 360 to get 260. You need to then divide that number by 2 to get Q and S, but you are looking for Q in this case, so the answer is 130.
Answer:
8+2x
Step-by-step explanation:
Combine Like Terms:
<u>1</u><u>6</u><u>-</u><u>8</u>+5x-3x
8+<u>5</u><u>x</u><u>-</u><u>3</u><u>x</u>
8+2x
The statement that describes a <em>key</em> feature of g if g(x) = f(x + 4) and f(x) = 10ˣ is "horizontal asymptote of y = 0". (Correct choice: B)
<h3>How to analyze a function resulting from a transformation rule</h3>
According to the statement, we have an <em>original</em> function f(x) = 10ˣ and a transformation rule for <em>horizontal</em> translation g(x) = f(x + 4). By applying this rule, we have that g(x) = 10ˣ ⁺ ⁴, which have these features:
- The y-intercept of g(x) is located at (0, 10000).
- <em>Horizontal</em> asymptote of g(x) is y = 0.
- There are no x-intercepts.
Therefore, the statement that describes a <em>key</em> feature of g if g(x) = f(x + 4) and f(x) = 10ˣ is "horizontal asymptote of y = 0". (Correct choice: B)
To learn more on transformation rules: brainly.com/question/9201867
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1. b. Commutative Property of Addition
Reason: There is no multiplication used
2. a. 60
Reason: 36 + 24 = 60
3. b. 3d + 9
Reason: Simplification and combining like terms :)
4. b. 4,-1
Reason: Coefficients are the numbers in front of variables
5. b. 36m + 9
Reason: Just use distributive property (multiply 9 into both terms inside parenthesis)
6. b. 95.488
Reason: b = 165.288 - 39.7 - 30.1
7. The question is cut off, unanswerable
8. c. 5a, -3a
Reason: Like terms are things you can combine. So technically the answers could be b. and c. but just go with c. because they have variables.
9. b. 16
Reason: just add 4 to both sides to get the "a" by itself
Best of luck to you!
