It is 2x(x-7)+3(x-7) = (2x+3)(x-7)
Answer:
84 in²
Step-by-step explanation:
The side lengths of the triangle are 3 consecutive integers whose sum (the perimeter) is 42. The average of those integers, 42/3 = 14, is the middle of the three, so they are 13, 14, 15. We're told the perimeter is in inches, so all of these dimensions are inches.
These are the last three of 4 consecutive integers, so the first, the height of the triangle, is 12. The base of the triangle is the 3rd of the four integers, so is 14. Then the area is ...
A = (1/2)bh = (1/2)(14)(12) = 84 . . . . . square inches.
Answer:
1069
Step-by-step explanation:
x-578=491
x=491+578=1069
1. 6x-15
2. 18x-55
3. 7.2x+2.3y-2
The measure of first angle is 34 degrees and measure of second angle is 56 degrees
<em><u>Solution:</u></em>
Given that, the exterior sides of two adjacent angles make a right angle
Therefore, these adjacent angles forms 90 degrees
Let the second angle be "x"
The first angle has a measure that is six more than half the second
Therefore,
first angle = 6 + half of "x"
![\text{ first angle } = 6 + \frac{x}{2}](https://tex.z-dn.net/?f=%5Ctext%7B%20first%20angle%20%7D%20%3D%206%20%2B%20%5Cfrac%7Bx%7D%7B2%7D)
Since these two angles forms 90 degrees,
first angle + second angle = 90
![x + 6 + \frac{x}{2} = 90\\\\\frac{2x + 12 + x}{2} = 90\\\\2x + 12+x = 180\\\\3x + 12 = 180\\\\3x = 180 - 12\\\\3x = 168\\\\x = 56](https://tex.z-dn.net/?f=x%20%2B%206%20%2B%20%5Cfrac%7Bx%7D%7B2%7D%20%3D%2090%5C%5C%5C%5C%5Cfrac%7B2x%20%2B%2012%20%2B%20x%7D%7B2%7D%20%3D%2090%5C%5C%5C%5C2x%20%2B%2012%2Bx%20%3D%20180%5C%5C%5C%5C3x%20%2B%2012%20%3D%20180%5C%5C%5C%5C3x%20%3D%20180%20-%2012%5C%5C%5C%5C3x%20%3D%20168%5C%5C%5C%5Cx%20%3D%2056)
<em><u>Therefore, first angle is:</u></em>
![\rightarrow 6 + \frac{56}{2} = 6 + 28 = 34](https://tex.z-dn.net/?f=%5Crightarrow%206%20%2B%20%5Cfrac%7B56%7D%7B2%7D%20%3D%206%20%2B%2028%20%3D%2034)
Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees