Answer: 9x^2 - 9x
the ^2 means squared btw.
you would get this answer by multiplying 3x by each of the terms inside the parentheses.
so 3x • 3x = 9x^2 and 3x • -3 = -9x
Answer:
√85 units
Step-by-step explanation:
If we move from (-1, 4) to (6,-2), we see x (the run) increasing by 7 and y (the rise) decreasing by 6.
The distance between these two points is found using the Pythagorean Theorem:
d = √ [7² + 6²] = √85 units (we cannot leave off the " √ " operator). Compare this to the 3rd answer choice.
Using proportions, it is found that he bikes:
- 28.5 miles in one and a hour.
- 47.5 miles in two and a hours.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, the proportion is that he bikes 9.5 miles each half hour, hence:
- In one hour, he bikes 2 x 9.5 = 19 miles.
- In one and a half hour, he bikes 3 x 9.5 = 28.5 miles.
- In two hours, 4 x 9.5 = 38 miles.
- In two and a half hours, he bikes 5 x 9.5 = 47.5 miles.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
1. 25 x 4
2. 25 + 9 = 34y
3. 2x + y = 25 + 9 = 34y
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given a transversal that intersects a set of parallel lines, various angles are formed.
When given this situation in geometry, these angles have different names and statements (primarily theorems) which justify their relationship.
There are 8 primary types of possible angles of parallel lines including:
- Alternate Interior
- Alternate Exterior
- Same-Side (Consecutive) Interior
- Same-Side (Consecutive) Exterior
- Corresponding Angles
- Vertical Angles
- Supplementary Angles
- Linear Pair
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According to what is given in the problem, we know that:
m∠3 = 135°.
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To solve for m∠7, we must identify the relationship that ∠3 and ∠7 have.
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Here is the solution in proof form:
_______________
Statement | Reason
m∠3 = 135° | Given
m∠3 ≅ m∠5 | Vertical Angles
m∠5 ≅ m∠7 | Corresponding Angles Theorem
m∠3 ≅ m∠7 | Transitive Property of Equality
m∠7 = 135° | Definition of Congruent Angles