Answer:
The correct answer is 6.
Step-by-step explanation:
When translating and reflecting figures, the shape remains the same. So, the side of 2x-4 is corresponding to the side of 8 and they are equal to each other.
To solve, set up an equation like this to find x:
2x-4=8
Then, add 4 to both sides of the equation:
2x=12
The goal is to get x by itself and in order to do that, divide both sides by 2:
x=6
The value of x is 6. I hope this helps! ☺
60-41 1/2=18 1/2 18 1/2 divided by 1/2=37/2*2 (cross cancel 2s)=37
Answer:
y=-9
Step-by-step explanation:
If x equals 2, then we can substitute that into the equation, resulting in the equation 2*2-2y=22
We can solve for multiplication first:
4-2y=22
Then we can subtract four on both sides, canceling out the four on the left side:
-2y=18
Now to isolate y, we divide both sides by -2, resulting in the solution:
y=-9
Hope this helps!
Answer: 240cm cubed (the three)
Step-by-step explanation:
Length x width x height
6x4x10
Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
<u>Alternative</u><u> </u><u>working</u><u>:</u>
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°
