Change both fractions, so they have the same denomater
4 1/5= 4 4/20
3/4= 15/20
change the mixed number into an improper fraction
84/20Subtract 15 from 84
84-15=69
so you get 69/20
Hope this helped :)
Answer:
6000 meters
Step-by-step explanation:
Each kilometer is 1000 meters so 1000 x 6 is 6000
Answer:
Answer:
(B) f(-4)=g(-4) and f(0)=g(0)
Step-by-step explanation:
From the given graph, the lines f(x) and g(x) intersects at two different points.
When x=-4, f(-4)=4 and g(-4)=4
When x=0, f(0)=4 and g(0)=4
Therefore, the points which represent where f(x)=g(x) are:
f(-4)=g(-4); and
f(0)=g(0)
The correct option is B.
Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:
![\frac{ML}{NM} = \frac{ST}{PS}](https://tex.z-dn.net/?f=%5Cfrac%7BML%7D%7BNM%7D%20%3D%20%5Cfrac%7BST%7D%7BPS%7D)
![\frac{8}{10} = \frac{x - 1}{x + 2}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B10%7D%20%3D%20%5Cfrac%7Bx%20-%201%7D%7Bx%20%2B%202%7D)
Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:
![\frac{26}{2} = \frac{2x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B26%7D%7B2%7D%20%3D%20%5Cfrac%7B2x%7D%7B2%7D)
13 = x
Verify whether x = 13 is the correct value:
![\frac{ML}{NM} = \frac{ST}{PS}](https://tex.z-dn.net/?f=%5Cfrac%7BML%7D%7BNM%7D%20%3D%20%5Cfrac%7BST%7D%7BPS%7D)
![\frac{8}{10} = \frac{x - 1}{x + 2}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B10%7D%20%3D%20%5Cfrac%7Bx%20-%201%7D%7Bx%20%2B%202%7D)
![\frac{8/2}{10/2} = \frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B8%2F2%7D%7B10%2F2%7D%20%3D%20%5Cfrac%7B4%7D%7B5%7D)
![\frac{x -1}{x+2} = \frac{13 - 1}{13 + 2} = \frac{12}{15} = \frac{12 / 3}{15 /3} = \frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20-1%7D%7Bx%2B2%7D%20%3D%20%20%5Cfrac%7B13%20-%201%7D%7B13%20%2B%202%7D%20%3D%20%5Cfrac%7B12%7D%7B15%7D%20%3D%20%5Cfrac%7B12%20%2F%203%7D%7B15%20%2F3%7D%20%3D%20%5Cfrac%7B4%7D%7B5%7D)
This shows the proportional relationship between
, and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.