Katrina can rums 10 miles per hour because if you multiply 5 miles per hour by 2 is ten
So, first lets define our variables:
let x = the number of dimes
let y = the number of nickels
so our first equation would be x+y = 16
Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows:
.10x+.05y = 1.35
now change the first equation so y = -x+16
now substitute:
.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35
combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5
So, you have 11 dimes and 5 nickels
See the attached figure.
m ∠KAJ = 170° & m ∠LAM = 80°
We should know that :
m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°
∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)
∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°
But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>
∴ m ∠MAJ + m ∠MAJ = 110°
∴ 2 * m ∠MAJ = 110°
∴ m ∠MAJ = 110° ÷ 2 = 55°
<u>So, the answer is : m ∠MAJ = 55°</u>
Answer:
<h2>107 and 73</h2><h2 />
Step-by-step explanation:
supplementary angle
7x + 9 + 5x + 3 = 180
12x = 180 - 3 - 9
x = 168 / 12
x = 14
plugin x=14 into the equation
= 7x + 9
= 7(14) + 9
= 107°
plugin x=14 into the equation
= 5x + 3
= 5(14) + 3
= 73°
Y=mx+b
First use the two point slope formula to find m
(y2-y1)/(x2-x1)
(2-0)/(-9-9)
2/-18
1/-9=m
Next use the point slope formula to find the answer
y-y1=m(x-x1)
y-0=1/-9(x-9)
Now use Distributive Property
y-0=1/-9(x)+1/-9(-9)
y-0=1/-9x+1
Your answer would be
y=-1/9x+1