Answer:
The total length of rebar used is 21.66 meters.
Step-by-step explanation:
Given:
Ivan had cut a reinforcing bar in 19 pieces and length of each bar is 1.14 meters.
Number of pieces = 19
Length of each piece = 1.14
We need to find the total length of reinforcing bar.
To calculate the total length we will multiply number of pieces with length of each piece.
Hence,
Total length of rebar = Number of pieces × Length of each piece = 
Rounding to nearest hundred = 21.66 m
Hence the total length of reinforcing bar is 21.66 meters.
For ABC:
The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54
The measure of angle ABC = x - 5 = 54 - 5 = 49
For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21
The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
3951 is an example of a standard form.
What standard form means is the number is written in numerical form.
More examples: 5269, 95862, 125634, etc.
Answer:3.1875
Step-by-step explanation: Simplifying
-3 + 8 + -8(7 + -2a) = 0
-3 + 8 + (7 * -8 + -2a * -8) = 0
-3 + 8 + (-56 + 16a) = 0
Combine like terms: -3 + 8 = 5
5 + -56 + 16a = 0
Combine like terms: 5 + -56 = -51
-51 + 16a = 0
Solving
-51 + 16a = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '51' to each side of the equation.
-51 + 51 + 16a = 0 + 51
Combine like terms: -51 + 51 = 0
0 + 16a = 0 + 51
16a = 0 + 51
Combine like terms: 0 + 51 = 51
16a = 51
Divide each side by '16'.
a = 3.1875
Simplifying
a = 3.1875
The line segment HI has length 3<em>x</em> - 5, and IJ has length <em>x</em> - 1.
We're told that HJ has length 7<em>x</em> - 27.
The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.
This means we have
7<em>x</em> - 27 = (3<em>x</em> - 5) + (<em>x</em> - 1)
Solve for <em>x</em> :
7<em>x</em> - 27 = (3<em>x</em> + <em>x</em>) + (-5 - 1)
7<em>x</em> - 27 = 4<em>x</em> - 6
7<em>x</em> - 4<em>x</em> = 27 - 6
3<em>x</em> = 21
<em>x</em> = 21/3
<em>x</em> = 7
