Answer:
- Burgers - $8.29 and fries - $4.39
Step-by-step explanation:
<u>Let burgers - b, fries - f</u>
- 8b + 3f = 79.49
- 12b + 6f = 125.82
<u>Double the first equation and subtract the second equation:</u>
- 16b + 6f - 12b - 6f = 2(79.49) - 125.82
- 4b = 33.16
- b = 33.16/4
- b = 8.29
<u>Find f:</u>
- 8(8.29) + 3f = 79.49
- 3f = 79.49 - 66.32
- 3f = 13.17
- f = 13.17/3
- f = 4.39
Answer:
x = −
4 ± √
10,
Step-by-step explanation:
2(x + 4)² = 20
=> 2(x + 4) (x + 4) = 20
=> 2x + 8 (x + 4) = 20
=> 2x² + 8x + 8x + 32 = 20
=> 2x² + 16x + 32 = 20
=> 2x² + 16x + 12 = 0
=> Now solve using the quadratic formula:
x = −
4 ± √
10,
Radical form: −
4 ± √
10,
Decimal form: -0.84, -7.16
Hope this helps!
Answer:
m < 2 = 45°
Step-by-step explanation:
m < 1 and m < 3 are corresponding angles that lie on the same side of the transversal. Since they are corresponding angles, then it means that they have the same measure.
Therefore, if m < 1 = 135°, then m < 3 = 135°.
Also, the sum of m < 2 and m < 3 = 180° because they are supplementary angles.
Therefore:
m < 2 + m < 3 = 180°
m < 2 + m < 135° = 180°
m < 2 = 180° - m < 135°
m < 2 = 45°
