Answer: 1 1/2
Step-by-step explanation: So you have 9 pounds and you have to distribute it out between 6 bags, so 9 divided by 6 you get 1 1/2 and so 1 1/2 pounds of sand go into each small bag
Set it up with variables; tomatoes=t, sunflowers=s, corn=c
320=t+s+c
This year;
t=2s
c=t+40
so, replace 2s for t; c=2s+40
now we can put those factors in for 320=t+c+s
320= 2s+2s+40+s
(SIMPLIFY)---> 320=5s+40----> 5s+280----> s=56
now incorporate the s value into the other equations.
c=2s+40----> c=56(2)=40 ----> c=152
t=2s -----> t=2(56) ----> t=112
TOMATOES= 112 acres
CORN= 152 acres
SUNFLOWERS= 56 acres
To check your work: 320=t+s+c ----> 320=112+156+56
We have been given that triangle def is a dilation of triangle abc with scale factor 2. In triangle abc the largest angle measures 82 degree and we are asked to find largest angle measure of triangle def.
Since we know that dilation stretches or shrinks the original figure. Dilation does not change or affect angle measure.
Upon dilating our triangle abc by a scale factor of 2 sides of triangle will increase but angles will remain same.
Therefore, largest angle measure of triangle def will be 82 degrees as well.
Three-hundred and nine million, ninety-nine thousand, nine-hundred and ninety
The coordinates of point D is given as
Since the question asks to get two points sharing the same x-coordinate as D, we will move the points along the y-axis.
Therefore, we will add and subtract 7 units from the y-axis.
Let the first point be A. The coordinates for A will be
Let the second point be B. The coordinates will be
We can plot the graph as shown below:
