Answer:
AB = 5
Step-by-step explanation:
Since the triangle is isosceles then the legs are congruent, that is
BC = BA, substitute values
5x - 10 = 3x - 4 ( subtract 3x from both sides )
2x - 10 = - 4 ( add 10 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus
AB = 3x - 4 = 3(3) - 4 = 9 - 4 = 5
Answer:
x = -4
Step-by-step explanation:
Distribute the -2 into the parentheses and your equation becomes -8x - 8 - 3x - 2 = 34
Then combine the -8x and -3x as well as the -8 and -2 to have -11x - 10 = 34
Add 10 to both sides and get -11x = 44
Divide both sides by -11 for x=-4
To estimate the quotient, we first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers. In a division sum, when the divisor is made up of 2 digits or more than 2 digits, it helps if we first estimate the quotient and then try to find the actual number.
Answer:
5 boys
Step-by-step explanation:
boys to girls in math class = 3/12
3/12 can be reduced to 1/4
In the science class, the ratio is the same but there is a total of 20 girls.
Multiply the fraction 1/4 by 2/2, 3/3, 4/4, 5/5, etc. until you get x/20. Then you have 20 girls. x is the number of boys.
1/4 = 2/8 = 3/12 = 4/16 = 5/20
In science the ratio of 1/4 is the same as 5/20, so there are 5 boys.
Answer: 5 boys