Answer:
1.81
2.36
3.40
4.54
5.80
6.-40
7.-60
Step-by-step explanation:
1.y= 9*9
2.a = 3*12
3.n = -4 * -10
4. x = 9*6
5.d = -8 * -10
6. t = -2 * 20
7. g = 10* -6
Answer:
(27,2) and (243,18)
(63,9) and (84,12)
(45,15) and (60,20)
(27,12) and (72,32)
(15,30) and (20,40)
(12,32) and (18,48)
(18,63) and (24,84)
Step-by-step explanation:
Formula for slope of a line is
a) (15,30) and (20,40).
Similarly find the slope of other lines.
b) (12,32) and (18,48).
c) (27,12) and (72,32).
d) (45,15) and (60,20).
e) (27,2) and (243,18).
f) (18,63) and (24,84).
g) (63,9) and (84,12).
After arranging the slopes in increasing order, we get
So, required arrangement of ordered pairs is
(27,2) and (243,18)
(63,9) and (84,12)
(45,15) and (60,20)
(27,12) and (72,32)
(15,30) and (20,40)
(12,32) and (18,48)
(18,63) and (24,84)
Answer:
Step-by-step explanation:
The x intercept is the value of x when y = 0. Use the equation to find the value of x:
y= -1x + 3
0 = -1x + 3
x = 3
The point is (3,0)
You can also graph it. Attached.
Answer:
x = 65 , y = 64
Step-by-step explanation:
y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is
y - 16 + 2y + 4 = 180
3y - 12 = 180 ( add 12 to both sides )
3y = 192 ( divide both sides by 3 )
y = 64
then
2y + 4 = 2(64) + 4 = 128 + 4 = 132
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2y + 4 is an exterior angle of the triangle , then
x + 67 = 132 ( subtract 67 from both sides )
x = 65
Answer:
Step-by-step explanation:
Let x = third side
Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.