Answer:
m = 6
n = 9/2 = 4.5
Step-by-step explanation:
we are dealing with similar triangles, and you need to find the scaling factor from small to large (or vice versa).
so, the triangle with 2 and 3 as sides turns into the larger triangle with 4+2 and m+3 as sides.
so, what is the scaling factor to go from 2 to 4+2 (=6) ? the scaling factor is 3.
so, (m + 3) = 3×3
m + 3 = 9
m = 6
and now we are further growing into the large triangle.
that means the right side goes from 6 to 6+3 = 9.
the factor to go from 6 to 9 is 9/6 = 3/2.
so, n + 6 + 3 = 3/2 × (6 + 3)
n + 9 = 3/2 × 9 = 27/2
2n + 18 = 27
2n = 9
n = 9/2
Answer:
The rate of change is 3
Step-by-step explanation:
The slope is the rate
The slope is 3
Answer:
400/81 cm²
Step-by-step explanation:
FE : DC
1 : 3
Since area ABCD = 400
s² = 400
s = 20
FE = ⅓(20) = 20/3 cm
IH : FE
1 : 3
IH = ⅓(20/3) = 20/9 cm
Area of HIJK:
(20/9)² = 400/81 cm²
Answer:
x > -3
Step-by-step explanation:
3(x + 2) > X.
⇒ 3x+6 > x
⇒3x+6-x > x - x [subtract x from both sides]
⇒2x + 6 > 0
⇒2x + 6 - 6 > -6 [subtract 6 from both sides]
⇒2x > -6
⇒x > -6/2 [Dividing both sides by 2 ]
∴ x > -3
Answer:
i would say the answer is 12
Step-by-step explanation: