Step-by-step explanation:
y+80+70=180
y+150=180
y=30
Now you can, easily find x
Answer:
ΔABC is a right triangle
length of the concession stand = 42.4 ft (nearest tenth)
Step-by-step explanation:
Given:
- Side length of square A = 30 ft
- Side length of square B = 40 ft
- Side length of square C = 50 ft
We can use Pythagoras' Theorem to prove if ΔABC is a right triangle.
Pythagoras' Theorem: a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right triangle)
Given:
- a = side length of square A = 30
- b = side length of square B = 40
- c = side length of square C = 50
⇒ a² + b² = c²
⇒ 30² + 40² = 50²
⇒ 900 + 1600 = 2500
⇒ 2500 = 2500
Therefore, ΔABC is a right triangle
To find the diagonal of square A, use Pythagoras' Theorem:
Given:
- a = side length of square A = 30
- b = side length of square A = 30
- c = diagonal of square A
⇒ a² + b² = c²
⇒ 30² + 30² = c²
⇒ 900 + 900 = c²
⇒ c² = 1800
⇒ c = √(1800)
⇒ c = 42.42640687
Therefore, the length of the concession stand (diagonal of square A) is 42.4 ft (nearest tenth)
Answer:
the 3rd one matches the number line
Step-by-step explanation:
the pointy part of the sign shows which way the line will go. if it has the line under the sign the dot on the number line is solid if not solid then it won't have a line
Answer:
The solution of this system is
(4). (6.0,5.4)
Step-by-step explanation:
First we have to find the equation of the line represented in the table; for that we have to find it's slope 
and it's y-intercept 
and then write it in the following form:
The slope of the line we get from first two points:
thus we have
we find by putting the point 
into the function:
Thus we have
Now we have to find where this line intersects with 
; to do this we just substitute 
with :
<em>We have the x-coordinate of the intersection.</em>
We find the y-coordinate by substituting 
into :
Thus the solution to the system is
which is option 4.
