Answer:
A.) Angle R, Angle S, Angle T
Step-by-step explanation:
It's a because it asked in order for an obtuse, an acute, and right. So in order it's R (for obtuse), S (for acute), and T (for right)
There is one solution:
use elimination method
5x - 7y = 12
5y - 2x = -7 ---> change equation around
5x - 7y = 12
-2x + 5y = -7
2 x ( 5x - 7y) = 2 x (12) multiply both sides by 2
5 x (-2x +5y) = 5 x (-7)
this give you
10x - 14y =24
-10x+25y = -35 add down
-----------------------------
11y = - 11 x is eliminated to find y value
y = -1 input to one of the original equations
5(-1) - 2x = -7
-5 - 2x = -7
+5 +5 add 5 to both sides
----------------------------
-2x = -2
x = 1
your coordinates for when they intersect is at (1, -1)
one solution
Answer:
m∠BCD = 120°
Step-by-step explanation:
Since the interior angles of a quadrilateral add up to 360°, then we get:
2x+x+2x+x=360°
6x=360°
<em>Divide both sides by 6</em>
x=60°
Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.
Answer: In the resulting equation: " a² - 12a + 32 = 0 " ;
________________________________________________________
The "coefficient" of the "a" term is: " - 12" .
________________________________________________________
The "constant" is: " 32 " .
________________________________________________________
Explanation:
________________________________________________________
Let: "a = x² + 4 " .
Given: (x² + 4)² + 32 = 12x² + 48 ;
______________________________________________________
Factor: "12x² + 48" into " (x² + 4) " ;
"12x² + 48" = 12 (x² + 4) " ;
______________________________________________________
Given: (x² + 4)² + 32 = 12x² + 48 ;
rewrite as; "a² + 32 = 12a " ;
Subtract "12a" from each side of the equation;
"a² + 32 - 12a = 12a - 12a ;
to get:
" a² - 12a + 32 = 0 " .
___________________________________________________
The coefficient of the "a" term; that is:
The "coefficient" of " -12a" ; is: "- 12" .
The constant is: "32<span>" .
</span>___________________________________________________
Answer:
140
Step-by-step explanation:
you would find the perimeter 8+8+6+6=28, then you multiply it by the height so it would be 28x5=140
