Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
You did not provide a table however I used
x y
0 -1
3 1
(I tried to make a table above with x,y)
The x intercept is (3/2, 0)
The y intercept is (0, -1)
Slope 2/3
See pic for graph
Answer:
he isn't
Step-by-step explanation:
The wood has dimensions of 18 x 12
If He wants the tray to have a height of 2, subtract 2 x 2 from both the length and the width
18 - 4 = 14
12 - 4 = 8
the highest possible dimensions of the tray can be 14 x 8
10 1/2 x 10 1/2 is greater than 14 x 8. so he is not correct
Answer: 6(3a-2)
Step-by-step explanation:
The greatest common factor (GCF) of 18a and -12 is 6. Therefore,
18a-12=6()=6(3a-2)
Answer:
Should be 5 in.
Step-by-step explanation:
C=2*Pi*R
31.4=2*3.14*R
substitute 5 for radius= 2*5=10
10*3.14=31.4
