Hello there!
4(x + 6) = 5( x + 9) + 4x
We wanna start with the distributive property
(4)(x) + (4)(6) = (5)(x) + (5)(9) + 4x
4x + 24 = 5x + 45 + 4x
4x + 24 = 9x + 45
Subtract 24 on both sides
4x + 24 - 24 = 9x + 45 - 24
4x = 9x + 21
Subtract 9x on both sides
4x - 9x = 9x + 21 - 9x
-5x = 21
Divide both sides by -5
-5x/-5 = 21/-5
x = -21/5
Answer:
A
Step-by-step explanation:
To find 10% of 500 you would multiply 500 by 0.1
4. D
12/15 isn't the same as 30/40. 12/15=0.8, while 30/40=0.75. All the other options are equal.
5. C
Of course, you could figure this out by plugging in all the answers, and seeing which ones make the two sides equal, however, cross multiplying (multiplying the top of one fraction with the bottom of the other fraction) would be much faster. This will be your equation: 8*46=18*n. After combining like terms and dividing, you should find that n=20.
6. A
This problem is basically the same as #5. Cross multiplying so the equation you get will be 0.6*1.2=1.6*w. W should be 0.45.
Hope this helps!!
Given that DH=4x-2 and FH=x+28, the value of x which will make DEFG a parallelogram will be given as follows;
4x-2=x+28
4x-x=28+2
3x=30
thus
x=30/3
x=10
The answer is C] 10
