
So these numbers are -4 and 24.
9514 1404 393
Answer:
A) The angles marked ∠7 and ∠8 are vertical angles.
B) The angles marked with expressions in y are also vertical angles, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.
C) y = 24; ∠7 = ∠8 = 89°
Step-by-step explanation:
A) The angles marked ∠7 and ∠8 are vertical angles, comprised of opposite rays and having a common vertex.
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B) The angles marked with expressions in y are also vertical angles. Vertical angles are congruent, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.
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C) (5y-29)° = (3y+19)°
2y = 48 . . . . . . . . . . . . divide by °, add 29-3y
y = 24 . . . . . . . . . divide by 2
Angles 7 and 8 are supplementary to the angles marked with expressions in y.
∠7 = ∠8 = 180° -(5y -29)° = 209° -5(24)°
∠7 = ∠8 = 89°
Answer: 20 seconds
Step-by-step explanation:
The distance is 540 feet
speed of the girl = 15ft/s
speed of the puppy = 12 ft/s
If we stand in the frame of reference where the girl is still, in this frame the speed of the puppy will be equal to the speed of the puppy in our previus frame plus the speed of the girl in the previous frame (because they are running in opposite directions)
S = 15 ft/s + 12ft/s = 27ft/s
Now we can use the equation:
time = distance/speed
T = 540ft/27ft/s = 20s

<h2>
Explanation:</h2>
The explicit formula for the general nth term of the arithmetic sequence is given by:

Here we know that:

So, our goal is to find the common difference substituting into the formula:

Finally, we can write the explicit formula as:

<h2>Learn more:</h2>
Geometric series: brainly.com/question/1509142
#LearnWithBrainly
It really does not change a whole lot, all your doing is moving it, your not adding size or subtracting size or rotating it. Just make all the points of the shape stay the same distance.
I hope this helps.