Since the areas are the same (5 x 6 = 30 units), and the height of the triangle (DC) is 5 so the length of the triangle must be 12. (1/2 of 5 x 12 is also 30)
So now we use the Pythagorean theorem
a² + b² = c² we have 5² + 12² = c² or 25 + 144 = c² or 169 = c²
The square root of 169 is 13 so side DE is 13 units.
Answer:
The equation that can be solved to find the number of nails in each box =
5x = 460
The number of nails in each box = 92 nails
Step-by-step explanation:
A carpenter bought 5 identical boxes of nails. She used 25 nails for a project and now has 435 nails left. Which equation can be solved to find the number of nails in each box.
Let the number of nails in each box be represented by x
Therefore our Equation =
5x = 25 + 435
5x = 460
Solving for x
5x/5 = 460/5
x = 92 nails
Therefore, the number of nails in each box = 92 nails
Answer:
it depend
Step-by-step explanation:
i can edit this answer but-
do they mean that both objects together costs that much or does that mean that pens and pencils cost the same?
Every proportional relationship is an equation like y = a number times 'x'. When you graph that equation it's a straight line that goes through the origin and every point on the line satisfies the equation. Line B is the only graph that looks like that. The others all have a piece of a proportional relationship. Their bottom pieces are proportional relationships but then they break and the top pieces are not.
Answer:
Sajini = 200
Drea = 225
Step-by-step explanation:
d = amount Drea earned
s = amount Sajini earned
Together they earned 425
d+s =425
d = s+25
The system of equations
d+s =425
d = s+25
I will use substitution to solve
Substitute d= s+25 into the first equation
d+s =425
(s+25) + s = 425
Combine like terms
2s+25 =425
Subtract 25 from each side
2s+25-25 =425-25
2s = 400
Divide by 2
2s/2 =400/2
s =200
Sajini = 200
Now we need to find d
d = s+25
d = 200 + 25
d = 225
Drea = 225
