Answer:
x=−2
Step-by-step explanation:
1 Expand.
6-2x-12=3x+4
6−2x−12=3x+4
2 Simplify 6-2x-126−2x−12 to -2x-6−2x−6.
-2x-6=3x+4
−2x−6=3x+4
3 Add 2x2x to both sides.
-6=3x+4+2x
−6=3x+4+2x
4 Simplify 3x+4+2x3x+4+2x to 5x+45x+4.
-6=5x+4
−6=5x+4
5 Subtract 44 from both sides.
-6-4=5x
−6−4=5x
6 Simplify -6-4−6−4 to -10−10.
-10=5x
−10=5x
7 Divide both sides by 55.
-\frac{10}{5}=x
−
5
10
=x
8 Simplify \frac{10}{5}
5
10
to 22.
-2=x
−2=x
9 Switch sides.
x=-2
x=−2
Answer:
Step-by-step explanation:
17:3 is already in lowest terms. 17:3 = 34:6, 51:9, etc.
15:60 = 1:4
Answer:
40 degrees
Step-by-step explanation:
Complementary angles have a sum of 90.
y = 90 - x
The angle is 260 degrees less than six times its complement.
y = 6x - 260
90 - x = 6x - 260
350 - x = 6x
350 = 7x
50 = x
This is the measure of the complement.
y = 90 - x
y = 90 - 50
y = 40
This is the measure of the first angle.
Answer:
270 yds squared
Step-by-step explanation:
You need to area of each of the shapes that make up the triangular prism. So, the side triangles, the back rectangle, the bottom rectangle and the top rectangle.
Side triangle (1x): base*height/2
12*5/2
60/2
30 yds, 60 yds for both sides.
Back rectangle: length*width
5*7
35 yds
Bottom Rectangle: length*width
7*12
84 yds
Top rectangle: length*width
7*13
91 yds.
To get the final answer, you add the surface areas together to get the final amount of yards: 30+30+35+84+91= 270 yds squared. Hope this helps.
