Assuming that the angles are congruent, then y = 29.
4y - 8 = 79 + y
4y = 87 + y Add 8 to both sides
3y = 87 Subtract y from both sides
y = 29
The answer is nonproportional.
Answer:
1 : 5 ;
6.5 inches
Step-by-step explanation:
Given that:
11 inch on plan = 55 in actual
The scale factor here is :
11 : 55
1 : 5 ( 1 inch on plan represents 5 inches the actual house)
If the house is 32.5 inches tall
The height in inches of the house on the plan will be:
Actual Height of house / 5
32.5 / 5 = 6.5 inches
For the first one c-9=(2)(4)+6
You are gonna multiply 2 and 4 first, 2*4=8. Now you have c-9=8+6. 8+6=14. So now the equation is c-9=14. Now we are going to add 9 to both sides. So c=23
For the second equation 10+y=90. We are going to subtract 10 from both sides. So, y=80.
Third, add 4 to both sides. a=10.
Fourth, subtract 8 from both sides. d=-9
Fifth, 5+2(3+4)=-x.
First we are going to add 3 and 4. 3+4=7. 5+2(7)=-x. Next we are going to multiply 2 and 7. 2*7=14. 5+14=-x. 5+14=19. So our equation is 19=-x. Next we are going to multiply both sides by -1. Making our final equation x=-19.
c=23
y=80
a=10
d=-9
x=-19
I hope that helps, if you need any further explanation just ask.<span />
Answer:All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Hope it helps...
