Answer:
The slope is 2.
Step-by-step explanation:
slope = rise/run
= 1-(-5) / 2-(-1)
= 6/3 = 2
Therefore, the slope is 2.
Solution:
<u>Given:</u>
Supplementary angles are a pair of angles that sum up to 180°.
<u>It should be noted:</u>
- If ∠G and ∠H are a pair of supplementary angles, they both sum up to 180°.
Equation formed: ∠G + ∠H = 180
<u>Substitute the values into the equation.</u>
- ∠G + ∠H = 180
- => 65 + ∠H = 180
<u>Subtract 65 both sides.</u>
- => 65 - 65 + ∠H = 180 - 65
- => ∠H = 180 - 65 = 115°
Answer:
the answers to this are x= 1 and y= 9
Answer:
$80,000
Step-by-step explanation:
<u>Define the variables</u>:
Let x = "fish-flavored" chicken company investment (in dollars)
Let y = spray-on vitamins company investment (in dollars)
If Allen invested a total of $100,000:
⇒ x + y = 100000
Given:
- 3% profit on "fish-flavored" chicken investment
- 1% profit on pray-on vitamins investment
- Total profit = $2,600
⇒ 0.03x + 0.01y = 2600
Rewrite the first equation to make y the subject:
⇒ y = 100000 - x
Substitute into the second equation and solve for x:
⇒ 0.03x + 0.01(100000 - x) = 2600
⇒ 0.03x + 1000 - 0.01x = 2600
⇒ 0.02x + 1000 = 2600
⇒ 0.02x = 1600
⇒ x = 80000
Therefore, Allen invested $80,000 in the "fish-flavored" chicken company.
