Answer:
23 should have been subtracted from, not added to, both sides of the equation.
Answer:
x > 6
Step-by-step explanation:
1.) Distribute - 3 through the parenthesis
7x-3(4x-8)<6x+12-9x
7x-12x+24<6x+12-9x
2.) Then collect like terms
7x-12x+24<6x+12-9x
7x-12x+24<-3x+12
7x-12x+24<-3x+12
-5x+24<-3x+12
3.) Move the <u>variable</u> to the left and change the sign
-5x+24<-3x+12
-5x+3x+24<12
4.) Move the <u>constant</u> to the right and change it's sign
-5x+3x+24<12
-5x+3x<12-24
5.) Collect like terms
-5x+3x<12-24
-2x<12-24
6.) Calculate the difference
-2x<-12
7.) Divide both sides by -2 and flip the inequality sign
-2x<-12
x>6
Answer:
<h2>The answer is 8 ft</h2>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
perimeter = 40 ft
length = 12 ft
Substitute the values into the above formula and solve for the width
That's
40 = 2(12) + 2w
40 = 24 + 2w
2w = 40 - 24
2w = 16
Divide both sides by 2
We have the final answer as
<h3>8 ft</h3>
Hope this helps you
Answer:
see explanation
Step-by-step explanation:
Since AB and BC are perpendicular, then
∠ABC = 90° and
∠ABD + ∠DBC = ∠ABC ← substitute values
3r + 5 + 5r - 27 = 90, that is
8r - 22 = 90 ( add 22 to both sides )
8r = 112 ( divide both sides by 8 )
r = 14
Hence
∠ABD = 3r + 5 = (3 × 14) + 5 = 42 + 5 = 47°
∠DBC = 5r - 27 = (5 × 14) - 27 = 70 - 27 = 43°
Use Photomath it works well
