Answer:
1. X=95
2. M=60
3.R=70
4.Q=75
5.A=75
6.B=105
7. ∠ACB = ∠BCA
8. ∠DEG = 75
9.∠FOE = 64 ∠COF = 116
10. ∠COE = 137 ∠DOE= 43
11. ∠WXZ = 149
12. ∠RSZ = 99.5
Step-by-step explanation:
Answer:
(5,-5)
Step-by-step explanation:
<u>Eliminate</u><u> </u><u>y-term</u>
![(2x + 5x) + ( - 3y + 3y) = 25 + 10 \\ 7x = 35 \\ x = \frac{35}{7} \\ x = 5](https://tex.z-dn.net/?f=%282x%20%2B%205x%29%20%2B%20%28%20-%203y%20%2B%203y%29%20%3D%2025%20%2B%2010%20%5C%5C%207x%20%3D%2035%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B35%7D%7B7%7D%20%20%5C%5C%20%20x%20%3D%205)
We can eliminate x-term but for this system of equations, eliminating y-term is faster.
<u>Substitute</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u> </u><u>in</u><u> </u><u>any</u><u> </u><u>given</u><u> </u><u>equations</u><u>.</u>
I will choose to substitute in the first equation.
![2x - 3y = 25 \\ 2(5) - 3y = 25 \\ 10 - 3y = 25 \\ 10 - 25 = 3y \\ - 1 5 = 3y \\ 3y = - 15 \\ y = - 5](https://tex.z-dn.net/?f=2x%20-%203y%20%3D%2025%20%5C%5C%202%285%29%20-%203y%20%3D%2025%20%5C%5C%2010%20-%203y%20%3D%2025%20%5C%5C%2010%20-%2025%20%3D%203y%20%5C%5C%20%20-%201%205%20%3D%203y%20%5C%5C%203y%20%20%3D%20%20-%2015%20%5C%5C%20y%20%3D%20%20-%205)
<u>Answer</u><u> </u><u>Check</u>
Substitute both x-value and y-value in any given equations
![2x - 3y = 25 \\ 2(5) - 3( - 5) = 25 \\ 10 + 15 = 25 \\ 25 = 25](https://tex.z-dn.net/?f=2x%20-%203y%20%3D%2025%20%5C%5C%202%285%29%20-%203%28%20-%205%29%20%3D%2025%20%5C%5C%2010%20%2B%2015%20%3D%2025%20%5C%5C%2025%20%3D%2025)
The equation is true. (<em>It</em><em> </em><em>is</em><em> </em><em>better</em><em> </em><em>to</em><em> </em><em>check</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>for</em><em> </em><em>both</em><em> </em>equation.)
Thus the answer is (5,-5)
B. 16 I hope, it’s correct answer
Answer:
2d≤24
Step-by-step explanation:
Total number of bottled juice bought = 24 bottles
Amount she drank each day = 2 bottles
To get the inequality to represent greatest number of days she can continue before she has to replenish her stock, we will say;
1 day = 2 bottles
d days = 24 bottles
Cross multiply
2 * d = 1 * 24
2d = 24
Since we want to know the greatest number of days she can continue before she has to replenish her stock, the <u>equal to </u>to sign will be replaced with<u> less than or equal to</u> sign as shown;
2d≤24
<em>This shows that the maximum number of days she can continue before replenishing is 12days. It cannot exceed</em>
(1,1) is your answer.
Work is shown below.
Any questions? Feel free to ask.