Yes. Supplementary angle is one which when added to the angle makes 180 degrees. Thus, if the angle is acute, its supplementary angle would be obtuse.
Answer: The y-intercept is (0, -12)
Step-by-step explanation:
y = 40x - 12
y = 40(0) - 12
y = -12
ΔXPS is congruent to ΔDNF
Since they only give you two sides of ΔXPS, then you know that:
XP (4y-3)= DN (57)
XS (17x+3) = DF (54)
4y - 3 = 57
4y = 60
y = 15
17x + 3 = 54
17x = 51
x = 3
So the answers are:
x = 3
y = 15
1. Radius = 4 cm
2. Diameter = 8 cm
4 x 2 = 8
3. Circumference = 25.12 cm
8 x 3.14 = 25.12
4. Area = 50.24 cm^2
3.14 x 4^2
3.14 x 16 = 50.24
5. Radius = 5 in
6. Diameter = 10 in
5 x 2 = 10
7. Circumference = 31.4 in
10 x 3.14 = 31.4
8. Area = 78.5 in^2
3.14 x 5^2
3.14 x 25 = 78.5
9. Radius = 8 mm
16/2 = 8
10. Diameter = 16 mm
11. Circumference = 50.24 mm
16 x 3.14 = 50.24
12. Area = 200.96 mm^2
3.14 x 8^2
3.14 x 64 = 200.96
13. Radius = 7.4 cm
14.8/2 = 7.4
14. Diameter = 14.8 cm
15. Circumference = 46.472 cm
14.8 x 3.14 = 46.472
16. Area = 178.1636 cm^2
3.14 x 7.4^2
3.14 x 56.74 = 178.1636
17. Area = 44 m^2
10 - 6 = 4
8 x 4 = 32
6 x 2 = 12
32 + 12 = 44
18. Area = 7.74 mm^2
6 x 6 = 36
6/2 = 3
3.14 x 3^2
3.14 x 9 = 28.26
36 - 28.26 = 7.74