120:100 or 6:5 so 24:x
if ratios are the same then the reciprocal of one of the ratios times the other ratio should equal 1 so 6/5 times x/24=1
6x/120, x=20
5(-2a-8) < -9a + 4
Use distributive property on left side:
-10a -40 < -9a + 4
Add 40 to both sides
-10a < -9a + 44
Add 9a to both sides
-a < 44
Multiply both sides by -1 and reverse the inequality sign:
A > -44
Answer: a > -44
Answer:
The vertex is (0,0)
Step-by-step explanation:
To find the x coordinate of the vertex
x = -b/2a where ax^2 +bx +c
a=1 b=0 c=0
x = -0/2(1) = 0
The y value is found by substituting into the equation
y = (0)^2 =0
The vertex is (0,0)
First, you have to imagine that you cut the upper triangle. If you do that, then this is how the inner angles are added to 180°:
180° = 90° + (x/2) + (7x - 90°)
180° = x/2 + 7x
180° = x *(1/2 + 7)
180° = x*(15/2)
2/15 * 180° = x
24 = x
Angle A:
A= x/2
A = 24/2
A = 12°
Angle B:
B = 7x
B = 7*24
B = 168°
The two bottom angles are both worth 90°.
Answer:
2/3 +9.26 = 0.6666+9.26=rational
