Supplementary means they equal 180 when added. Therefore:
X+56+3x=180
Combine common units
4x+56=180
Subtract 56 from both sides
4x=124
Divide by 4
X=31
Now we know the smaller angle is 31 degrees. Now we plug that into the larger angle:
3(31)+56
93+56
149
The larger angle is 149 degrees.
I hope this Helps!
Answer: A. A=(1000-2w)*w B. 250 feet
C. 125 000 square feet
Step-by-step explanation:
The area of rectangular is A=l*w (1)
From another hand the length of the fence is 2*w+l=1000 (2)
L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.
Express l from (2):
l=1000-2w
Substitude l in (1) by 1000-2w
A=(1000-2w)*w (3) ( Part A. is done !)
Part B.
To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))
w1=0 1000-2*w2=0
w2=500
Wmax= (w1+w2)/2=(0+500)/2=250 feet
The width that maximize area A is Wmax=250 feet
Part C. Using (3) and the value of Wmax=250 we can write the following:
A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets
The answer is 75
First you subtract 180 and 165 to find that smallest angle inside the triangle(15). Then you add 15 and 90,the two angles you know, and do 180 - 105= 75.
The trick is that all angles inside a triangle equal 180 degrees. Hope this helps!
Answer:
D. All of the above
Step-by-step explanation:
By the given data, some persons were in the experiment and each of them was given with three meals, Low Calorie, Moderate Calorie and High Calorie. They results for the meal they liked is as below:
Low Calorie Meal got likes = 6
Moderate Calorie Meal got likes = 7
High Calorie Meal got likes = 17
so,
Option A is correct as High Calorie meal got 17 likes while Low Calorie meal got 6 likes.
Option B is also correct as Low Calorie meal got 6 likes while Moderate Calorie meal got 7 likes.
Option C is correct too as High Calorie meal got largest number of likes even more than the double of Low calorie and Moderate calorie meal so it was more than expected.
Answer:
A
Step-by-step explanation:
changing the number in the f(x) will shift right and left ( + for left and - for right ) and changing out f(x) will shift up and down ( + for up and - for down)
