1.75 + 0.25x ≤ 15
where x is equal the number of miles.
The key to solving an inequality is just temporarily making the ≤ symbol a =. Then solve for x like any other algebraic equation. Once you find the value of x, you will have solved the inequality. Make sure to add back the ≤ when you are done.
15 - 1.75 = 13.25
13.25/0.25 = x
x = 53
add back the ≤
x ≤ 53
This means Eddies can travel up to 53 miles with his $15.
Answer: y=36 degrees
Step-by-step explanation: the exterior angle of a triangle is equal to the sum of the two remote interior angles of a triangle. using this, you can subtract 98 from 134 degrees to find your answer. 134-98 is 36 degrees. Hope this helps :)
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Answer: B) II and III</h3>
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Explanation:
Check out the diagram below.
On the left side shows ASA can be used to prove the triangles congruent. Note the color coding to see how the angles match up. Also note that the segment TR is between angles STR and SRT. The order is important because ASA is different from AAS.
Angle STR = Angle VTU because they are vertical angles
Angle SRT = Angle VUT since they are alternate interior angles. Note how SR is parallel to UV. If the lines weren't parallel, then the alternate interior angles would not be congruent.
We can use AAS because if we know two angles of a triangle, we can find the third angle. Despite the fact that something like RST looks like a right angle, we don't have enough info to say it is or not. The square angle marker is missing. So it could be 90 degrees, or it might be something like 89 degrees instead. We don't have enough info. So we cannot use HL.
AAA or AA is not a congruence theorem. It's a similarity theorem. So we cross this off the list.
Answer:
a) 4x - 8y
b) 4 × x - 8 × y
c) 4x - 8y is the same as 4 × x - 8 × y because if there is no simbol then it is always multiplication
Step-by-step explanation:
a) start with the parentheses
1/3 (6x - 12y)
multiply 6x and -12y by (1/3)
2x - 4y
so now the equation is 5x -3x -4y + 2x -4y
add together the like terms
5x -3x + 2x = 4x
-4y -4y = -8y
so we have 4x - 8y
b) im not good with factored form but i believe this is right
take 4x and separate them by turning it into 4 × x and same for -8y turn it into -8 × y
c) 4x - 8y is the same as 4 × x - 8 × y because if there is no simbol then it is always multiplication
im not sure how to prove them equal to the original expression i dont really remember that but i hope this helped
