Answer:
The price before tax was $110
Step-by-step explanation:
Here the price paid totals $129.25, including b (the pre-tax price) an 17.5% of b: b + 0.175b = $129.25. Combining the b terms, we get:
1.175b = $129.25. Solving for b by dividing both sides by 1.175, we get
b = $110. The price before tax was $110.
One pair of supplementary angles is angle RUP and angle RUS. See figure 1 (attached image below). These two angles combine together to form a straight angle. By definition, supplementary angles add to 180 degrees.
Another pair of supplementary angles is angle QUS and angle TUS. See figure 2 (attached image below). These angles form the straight line ST.
There are other ways to form a straight line with two angles.
Answer:
-3± √5
Step-by-step explanation:
It is given that,
m² + 6m = -4
<u>Points to remember</u>
Solution of a quadratic equation ax² + bx + c = 0
x = [-b ± v(b² - 4ac)]/2a
<u>To find the solution of given equation</u>
m² + 6m = -4
⇒ m² + 6m + 4 = 0
Here a = 1, b = 6 and c = 4
m = [-b ± v(b² - 4ac)]/2a
= [-6 ± √(6² - 4*1*4)]/2*1
= [-6 ± √(36 - 16)]/2
= [-6 ± √20]/2
= [-6 ± 2√5]/2
= -3± √5
The answer is 9.53939201417