X=3; you can set up a proportion using the slope equation. So (y[sub2]-y[sub1])/(x[sub2]-x[sub1])=2/1 then plug in the values and simplify. Then cross multiply and solve for x. Rest of work shown in the picture
If you have at least as many equations as your have unknown variables, the 'system' is solvable (unless the equations are copies of eachother).
In this case, isolate one letter and plug it in the other. I'm going for the 2a in the bottom one (it doesn't matter)
2a - 4b = 12 => (divide by two and move the b's to the other side)
a = 6 + 2b. (plug this one into the top equation)
4(6+2b) + 6b = 10 => 24+8b+6b = 10 => 24 + 14b = 10 => 14b = -14 => b=-1
a = 6 + -2 = 4.
So a=4 and b=-1.
Answer:
5. -2 3/4, -2.2, 2.8, 3 1/8
6. -0.6 , 0.65 , 2/3 , 4/5
Step-by-step explanation:
If Two Angles in a Triangle are Equal, Then Sides Corresponding to those Angles are also Equal
From the Figure, We can Notice that ∠C = ∠B
⇒ Length of AC = Length of AB
⇒ 2x - 24 = x - 2
⇒ x = 24 - 2
⇒ x = 22
Answer:
The depth of the lake last year was 52 feet
Step-by-step explanation:
Given as :
This year depth of lake = 39 feet
Let the last year depth of lake = x feet
Now,
According to question :
The depth this year is 25% less than that of last year
I.e 39 feet = x - 25% of x
Or, 39 feet = 
or, x = 
∴ x = 52 feet
Hence The depth of the lake last year was 52 feet Answer
