Answer:
y=7
Step-by-step explanation:
6/42 =1/y
y=42/6=7
perimeter = 2L +2w
L = w+11
70 = 2(w+11) +2w
70 = 2w+22+2w
70= 4w + 22
48 = 4w
w=48/4 = 12
width = 12
length = 12+11 = 23
2x12 = 24
2x23 = 46
46+24 = 40
length = 23 inches, width = 12 inches
Answer is D
Hello!
Since the angles are same side alternate angles they are equal to each other
60 - 2x = 70 - 4x
We solve this algebraically
Add 4x to both sides
60 + 2x = 70
Subtract 60 from both sides
2x = 10
divide both sides by 2
x = 5
Hope this helps!
Let the fist integer be x, the second is x+20
the product of the numbers is:
x(x+20)
the sum of the numbers is:
x+x+20=2x+20
the sum of the above operations will give us:
2x+20+x^2+20x=95
x^2+22x+20=95
this can be written as quadratic to be:
x^2+22x-75=0
solving the above we get:
x=3 and x=-25
but since the integers should be positive, then x=3
the second number is x+20=3+20=23
hence the numbers are:
3 and 23
Answer:
20.1246118 or 20.12
Step-by-step explanation:
First draw the box with the diagonal, as you can see it is split into 2 equal right triangles. Now use the pythagorean theorem (a^2+b^2=c^2) to find the length of the diagonal