Answer:
x = 53
Step-by-step explanation:
The two angles identified are alternate exterior angles. Since the lines are parallel, alternate exterior angles are equal.
2x+15 = 3x-38
Subtract 2x from each side
2x-2x+15 = 3x-2x-38
15 = x-38
Add 38 to each side
15+38 = x-38+38
53 = x
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
Answer: They must sell 116 more boxes to raise $270.
Solution:
For every box they sell, they get $1.35 profit.
They have sold 84 boxes already, then they have:
$1.35 * 84 = $113.40
They need $270, then they have to sell:
$270-$113.40=$156.60
For every box they sell, they get $1.35 profit, then they need to sell:
$156.60/$1.35=116 more boxes
Check:
116*$1.35=$156.60
84*$1.35=$113.40
$156.60+$113.40=$270.00
Answer:
There is a site where you can look these up, Try to look it up on the internet heres some sites, For Homework: slader
math -
way
explanation:
I cannot read the images clearly
Answer:
There are 6 different ways two coins can be chosen
: penny-dime, penny-nickle, penny-quarter, dime-nickle, dime-quarter, quarter-nickle
brainliest plz