Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The triangle is recognizable as a 30°-60°-90° right triangle, which has side length ratios ...
1 : √3 : 2
Side x is thus twice the length of short side 4, so x = 8.
Side y is √3 times the length of short side x-6 = 2, so y = 2√3.
_____
If you don't happen to recognize the triangle dimensions, you can find x and y using the Pythagorean theorem.
x = √(4² +(4√3)²) = √64 = 8
y = √(4² -2²) = √12 = 2√3
Answer:
x = 16
Angle p = 50°
Angle q = 40°
Step-by-step explanation:
"complementary" means the angles add up to 90°.
So,
3x+2 + 3x-8 =90
combine like terms.
6x - 6 = 90
add 6
6x = 96
divide by 6
x = 16
If x = 16,
then Angle p=
3x + 2
= 3(16) + 2
= 48 + 2
= 50
Angle p = 50°
And,
Angle q
= 3x - 8
= 3(16) - 8
= 48 - 8
= 40
Angle q = 40°
Check:
40° + 50° = 90°
Answer: y = 9x - 3
That's y=mx + b, the usual slope intercept form of a line with slope m and y intercept b.
Answer:
x < -6
Step-by-step explanation:
-4x - 5 > 19
+5 +5
-------------------
-4x > 24
/-4 /-4
-------------------
x < -6
