1) you need to shade in that last square then draw another 3squares together and shade in 2
3) 3 3/10
5) 13/3
7) 71/8
9514 1404 393
Answer:
- (2x-10) +x +(x+10) = 180
- x = 45
- (2x-10)° = 80°
- (x+10)° = 55°
- x° = 45°
Step-by-step explanation:
The equation is an expression of the fact that <em>the sum of the angles in a triangle is 180°.</em>
(2x -10)° +x° +(x +10)° = 180°
For the purposes of the answer box, I'd leave off the degree symbol:
(2x -10) +x +(x +10) = 180
__
This simplifies to ...
4x = 180
x = 45
Then the angles (CW from top) are ...
(2·45 -10) = 80°
(45 +10)° = 55°
(45)° = 45°
B is the correct answer.
We are adding the border of x thickness to all 4 sides of the table. This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x. To find the area, we multiply the length and width:
(36+2x)(72+2x) = 3006
Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006
Combining like terms gets us
2592 + 216x + 4x² = 3006
Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0
Writing in standard form we have
4x²+216x-414=0
Answer:
thanks again man!!!! wooo