Answer: x=15
Step-by-step explanation:
Equation: 107=(9x-115)+(4x+27)
Step 1: 9x+4x-115+27=107
Step 2: 13x-115+27=107
Step 3: 13x-88=107
Step 4: 13x-88+88=107+88
Step 5: 13x=195
Step 6: 13x/13=195/13
x=15
Assume the smaller one is x, then the other ones will be x+2 and x+4
x(x+2) + 2 = 5(x+4)
x^2 + 2x - 5x - 18 = 0
-> x^2 - 3x - 18 = 0
-> (x-6)(x+3) = 0
-> x = 6 or -3, since x must be positive, then x = 6
So the numbers are: 6, 8, 10
Answer:
1. 4; 2. 32; 3. 9; 4. 8; 5. 12; 6. 16; 7. 6; 8. 8; 9. 8; 10. 8
Answer:
The fraction is
Step-by-step explanation:
Let the numerator be x and denominator be y
So, Fraction = 
Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4
So, Fraction becomes :


----1
We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2
So, Fraction becomes :


---- 2
Substitute the value of y from 2 in 1




Substitute the value of x in 2



So, Fraction = 
Hence The fraction is
The measure of ∠1 is also <span>93° because vertically opposite angles are equal.</span>