Answer:
angle j = 90
angle k = 29
angle L = 61
Step-by-step explanation:
180 = 90 + (4x-19) + (5x+1)
90 = 9x - 18
108 = 9x
x = 12
In a square all 4 sides are equal, so when you cut it along the diagonal to make a triangle, both the base and the height of the triangle would be the same.
The area of a triangle is found by the formula 1/2 x base x height
Since the base and height are the same the formula becomes Area = 1/2 x S^2 ( where S is the length of a side).
The area is given as 0.72 square units.
Now you have 0.72 = 1/2 x S^2
First multiply both sides by 2:
1.44 = S^2
To find S, take the square root of both sides:
S = √1.44
S = 1.2
The side length is 1.2 units.
Answer:
Only student 2
Step-by-step explanation:
Im not sure what you are asking, but i will say the answer is
<span>Total number of times the activity is performed: Number of times an event occurs</span>
So,
We have three placeholders.
x, y, and z will represent the number of cookie boxes they sold for the first, second, and third weeks, respectively.
"The girls sold 5 more boxes the second week than they did the first."
x + 5 = y
"They doubled the sales of the second week for the third week."
z = 2y
"To sell a total of 431 boxes of cookies"
x + y + z = 431
Now we have our three equations.
x + 5 = y
z = 2y
x + y + z = 431
Obviously, we can substitute y and z in the last equation, because the other two open sentences tell us what they are.
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2(x + 5) = 431
Collect Like Terms.
2x + 5 + 2(x + 5) = 431
Distribute.
2x + 5 + 2x + 10 = 431
Collect Like Terms.
4x + 15 = 431
Subtract 15 from both sides.
4x = 416
Divide both sides by 4.
x = 104
Now we can use the other two original sentences to figure out what y and z are.
x + 5 = y
104 + 5 = y
109 = y
z = 2y
z = 2(109)
z = 218
Now, to check, add x, y, and z.
x + y + z = 431
104 + 109 + 218 = 431
213 + 218 = 431
431 = 431 This checks.
The Girl Scouts sold 104 cookie boxes on the first week, 109 boxes on the second week, and 218 boxes on the third week.
