9514 1404 393
Answer:
-7/4 < x < 8
Step-by-step explanation:
The value of y can be determined from the sum of the angles, so you know each of the angles exactly. That means you know the ratio of side lengths exactly, which lets you solve for x exactly.
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Setting that aside, we observe that angle C is greater than angle A, so side AB will be longer than side BC.
3x +15 > 4x +7
8 > x . . . . . . . . . . subtract 3x+7
We also know that the lengths of these sides must be positive. Since BC is the shorter side, we require ...
4x +7 > 0
4x > -7
x > -7/4
So, the allowable values of x are ...
-7/4 < x < 8
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<em>More complete solution</em>
If we read the figure correctly, the sum of angles is ...
(2y +12) +(4y +12) +(y -18) = 180
7y +6 = 180
y = (180 -6)/7 = 24 6/7°
Then (in degrees) ...
∠A = 2(24 6/7) +12 = 61 5/7, and ∠C = 4(24 6/7) +12 = 111 3/7
The Law of Sines tells us ...
AB/sin(C) = BC/sin(A)
sin(A)(3x +15) = sin(C)(4x+7)
x(4sin(C) -3sin(A)) = 15sin(A) -7sin(C)
x = (15sin(A) -7sin(C))/(4sin(C) -3sin(A))
x ≈ 6.1872652
Answer:
Step-by-step explanation:
Answer:
12 times
Step-by-step explanation:
x is the number of times she has to walk dogs multiplied by 5 dollars she gets each time plus the 25 she started with all equal to 83 because that's how much she needs
5x + 25 = 83
-25 -25
5x = 58
5x/5 = 58/5
x = 11.6
can't walk the dog a 6th of a time so rounded to the nearest while number ti get 12
she has to walk dogs approximately 12 times
Note that the tenth place value is 8 (bolded):
243.875
Look at the place value directly right of the bolded number (hundredth place value). It is a 7. Because 7 is greater than 5, round up
243.875 rounded to the nearest tenth = 243.9
243.9 is your answer
hope this helps
