Answer: I'm assuming you just need to graph each ordered pair without doing anything else to them. The first number in the ordered pair is called the x-intercept, the second number is the y-intercept. To graph an ordered pair you need to count the x-intercept number and go to that number on the x-axis (horizontal), do the same for the y-intercept on the y-axis (vertical) and make a point/dot. Repeat this for the other two ordered pairs.
Answer:
BD = <u>1</u> unit
AD = <u>1</u> unit
AB = <u>1.6</u> units
AC = <u>1.6</u> units
Step-by-step explanation:
In the picture attached, the triangle ABC is shown.
Given that triangle ABC is isosceles, then ∠B = ∠C
∠A + ∠B + ∠C = 180°
36° + 2∠B = 180°
∠B = (180° - 36°)/2
∠B = ∠C = 72°
From Law of Sines:
sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB
(Remember that BC is 1 unit long)
AB = AC = sin(72°)/sin(36°) = 1.6
In triangle ABD, ∠B = 72°/2 = 36°, then:
∠A + ∠B + ∠D = 180°
36° + 36° + ∠D = 180°
∠D = 180° - 36° - 36° = 108°
From Law of Sines:
sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB
(now ∠A = ∠B)
BD = AD = sin(∠A)*AB/sin(∠D)
BD = AD = sin(36°)*1.6/sin(108°) = 1
You're just changing the given rate into a unit rate: follow along and do the division shown and fill in the blanks. 320 ÷16 = 20
So the unit rate is
Answer:
$35.7
Step-by-step explanation:
you can convert 15% to a decimal by dividing by 100.
15/100 = .15
if you multiply the decimal by the cost of the shirt you get how much the discount is.
0.15 * $42 = 6.30
so a 15% discount on a $42 shirt is $6.30 off. So you subtract the discount from the total cost.
$42 - $6.30 = $35.70 that is the sale price of the shirt.
<u>Answer:</u>
one solution = 3
<u>Step-by-step explanation:</u>
Let's solve your equation step-by-step.
5x+17=4(3x−1)
Step 1: Simplify both sides of the equation.
5x+17=4(3x−1)
5x+17=(4)(3x)+(4)(−1)(Distribute)
5x+17=12x+−4
5x+17=12x−4
Step 2: Subtract 12x from both sides.
5x+17−12x=12x−4−12x
−7x+17=−4
Step 3: Subtract 17 from both sides.
−7x+17−17=−4−17
−7x=−21
Step 4: Divide both sides by -7
-7x/-7 = -21/-7 = 3
