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:
B
Step-by-step explanation:
all 3 angles of a triangle must equal 180 degrees, so if it tell you that there is a 68 degree angle, and a 90 degree angle(because if the right angle), then the last angle must be 22, because 180-(68+90)=22
Answer:
- A. The temperature –5º C is colder than the temperature –2º C .
- D. The temperature –5º C is warmer than the temperature –7º C
Step-by-step explanation:
The more negative a temperature is, the colder it is. In order, from colder to warmer, the temperatures are ...
colder ... ... ... ... warmer
-7 ºC ... -5 ºC ... -2 ºC
Answer:
If 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neither blue nor brown
Step-by-step explanation:
The 8 exterior angles of a regular octagon add up to 360 degrees
