Answer:
Δ QRS is an obtuse triangle ⇒ according to its angle
Δ QRS is an isosceles triangle ⇒ according to its sides
Step-by-step explanation:
In Δ QRS
∵ m∠Q = 8x - 17
∵ m∠R = 19x + 4
∵ m∠S = 5x + 1
→ The sum of the interior angles of a Δ is 180°
∴ m∠Q + m∠R + m∠S = 180°
→ Substitute their values in the equation above
∵ 8x - 17 + 19x + 4 + 5x + 1 = 180
→ Add the like terms
∴ (8x + 19x + 5x) + (-17 + 4 + 1) = 180
∴ 32x + (-12) = 180
∴ 32x - 12 = 180
→ Add 12 to both sides
∵ 32x - 12 + 12 = 180 + 12
∴ 32x = 192
→ Divide both sides by 32
∵ 
= 
∴ x = 6
→ Substitute the value of x in each measure of angles to find them
∵ m∠Q = 8(6) - 17 = 48 - 17
∴ m∠Q = 31°
∵ m∠R = 19(6) + 4 = 114 + 4
∴ m∠R = 118°
∵ m∠S = 5(6) + 1 = 30 + 1
∴ m∠S = 31°
∵ m∠R > 90°
∴ ∠R is an obtuse angle
∴ Δ QRS is an obtuse triangle
∵ m∠Q = m∠S
→ In any Δ if two angles are equal in measures, then the two sides
opposite to these angles are equal in length and the Δ is isosceles
∴ RQ = RS
∴ Δ QRS is an isosceles triangle
Okay so for this problem you want to change it to an slope-intercept equation (y=mx+b, where m=slope and b=y intercept). so first you want to subtract 2x from both sides to isolate 5y, which gives you 5y=-2x-20. After that you want to isolate y so you’ll divide both sides by 5. This gives you y=-2/5(x) - 4. because b is the y-intercept and -4=b, then the y-intercept is -4. from here you need to know that coordinates are listed as (x, y) so the y-intercept is where x is equal to 0. So the answer is (0,-4). Does that make sense?
First we will do the plus sign for 2.
19 + 2 + 1 + 4 + 2 - 10
Add then subtract.
19 + 2 + 1 + 4 + 2 = 28
28 - 10 = 18.
Now we will do the negative sign for 2.
19 - 2 + 1 + 2 + 4 + 2 - 10
19 + 1 + 2 + 4 + 2 = 28
28 - 2 = 26 - 10 = 16.
Answer is 16 and 18.
Group all the 'y' terms on the left and all the other terms on the right:
<span>2.8y+6+0.02y=5y-14 => y(2.8+0.02-5)=-14-6
Now add up 2.8, 0.02 and -5; then combine -14 and -6. Can you now solve for y?
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Rounding to nearest thousand gives 76,000 mg of chlorine
