Answer:
x = 28
m<ABC = 57°
Step-by-step explanation:
✔️(2x + 1)° + 33° = 90° (complementary angles)
Solve for x
2x + 1 + 33 = 90
Add like terms
2x + 34 = 90
2x = 90 - 34 (subtraction property of equality)
2x = 56
Divide both sides by 2
x = 28
✔️m<ABC = 2x + 1
Plug in the value of x
m<ABC = 2(28) + 1
= 56 + 1
m<ABC = 57°
C the value of m and b doesn't affect the sign of the x-int
m is the slope of the line and b is the y-int
Answer: Side QR
Step-by-step explanation: The sum of a triangle internal angles is 180°. So to determine the angles, we calculate x:
5x - 27 +4x - 7 + 3x + 10 = 180
12x = 204
x = 17
With x, solve for the angles:
m∠P = 5(17) - 27 = 58
m∠Q = 4(17) - 7 = 61
m∠R = 3(17) + 10 = 61
The relationship between angles and sides in any triangle:
- the largest angle is opposite the largest side;
- the middle angle is opposite to the middle-sized side;
- the shortest angle and side are opposite to each other;
So, the shortest side of PQR is the side opposite to the shortest angle.
The shortest angle is m∠P = 58°. Therefore, the shortest side is QR
<span>From the choices above, the most likely to be a reasonable solution is C</span>.)40 batches of cookies and 20<span> batches of cupcakes.</span>
