Answer:
m∠ABC = 68°
m∠DEF = 112°
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (they form a straight line).
If ∠ABC and ∠DEF are supplementary, that means that they add up to 180. We can write this in an equation:
- (6x + 8) + (12x - 8) = 180
Combine like terms.
Divide both sides by 18.
Find the measure of each angle by substituting 10 for x into both expressions for the angles.
m∠ABC = (6x + 8)°
m∠DEF = (12x - 8)°
Answer:
( 5, 3/2 )
x = 5
y = 3/2
Step-by-step explanation:
5x - 4y = 19
x + 2y = 8
-------------------
2(x + 2y = 8) = 2x + 4y = 16
----------------------
5x - 4y = 19
2x + 4y = 16
7x = 35
÷7 ÷7
x = 5
-----------------------
x + 2y = 8
5 + 2y = 8
-5 -5
2y = 3
÷2 ÷2
y = ( 3/2 )
I hope this helps!
<u><em>Answer:</em></u>
<u>The simplest form would be:</u>
8c² - 1.5d
<u><em>Explanation:</em></u>
To simplify an expression, we need to <u>gather the like terms</u>.
Like terms are the ones having the same variable raised to the same power
<u>In the given expression:</u>
6c² + 2.5d - d + 2c² - 3d
We have terms having c² and terms having d.
<u>Therefore, we would gather them as follows:</u>
6c² + 2.5d - d + 2c² - 3d
(6+2)c² + (2.5-1-3)d
8c² - 1.5d ......................> This is the simplest form
Hope this helps :)
Answer:
2.20$
11$
Step-by-step explanation:
18.70/8.5=2.2
2.2= 2.20$
2.2x5=11
11=11$
Answer:
1,3 a square = 1,9 b. Yes orthogonal