Answer:
7.2
Step-by-step explanation:
Given that in triangle LMN, LO is angle bisector of angle L.
LN =10 and LM =18
By angle bisector theorem for triangles we have
LN/LM = NO/MO
Substitute the values for known things and x for MO
We get
10/18 = 4/x
Or cross multiply to get
10x=72
x=7.2
So answer is 7.2
The graph that represents viable values for y = 2x is Option A.
<h3>What is a Straight Line Function ?</h3>
A straight line function is given by y = mx +c , where m is the slope and c is the y intercept.
The given equation is y = 2x
here m = 2
x is the number of pounds of rice scooped and purchased from a bulk bin
y is the total cost of the rice
as both the data cannot be negative , Option C , D is out of choice
The Option 1 represents a straight line and it starts at the origin which is satisfied by y = 2x as y = 0 , at x = 0
ends at point (2.5, 5) giving a slope of m =2 ,
Therefore , The graph that represents viable values for y = 2x is Option A.
To know more about Straight Line equation
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Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required
Step-by-step explanation:
Let x represent the quantity of the soil containing 50% clay that you would use.
Let y represent the quantity of the soil containing 28% clay that you would use.
To build the garden of your dreams you need 11 m^3 of soil.
x + y = 11 - - - - - - - - -1
Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.
you have two types of soil you can combine to achieve this: soil with 50% clay and soil with 28% clay. This means that the quantity of both soils required to achieve 5.06 m^3 will be
0.5x + 0.28y = 5.06 - - - - - - - -2
Substituting x = 11 - y into equation 1, it becomes
0.5(11 - y) + 0.28y = 5.06
5.5 - 0.5y + 0.28y = 5.06
- 0.5y + 0.28y = 5.06 - 5.5
- 0.22y = - 0.44
y = - 0.44/ -0.22 = 2
Substituting y = 2 into x = 11 - y, it becomes
x = 11 - 2 = 9
-2x+3=15
Subtract 3 from both sides:
-2x=12
Divide -2 from both sides:
X=-16 is your answer
