What the qoutient sweetheart
Let the hamburgers be x and cheese burgers be y.
x + y = 24
3x + 3.5 y = 79
x = 24 - y.
Substituting the value of x,
3( 24 - y) + 3.5 y = 79
72- 3y + 3.5 y = 79
72 + 0.5 y = 79
0.5y = 79 - 72 = 7
1/2 y = 7
thus, y = 7 * 2 = 14
Substituting the value for x,
x + y = 24
x + 14 = 24
x = 24-14 = 10
Thus, x = 10.
Thus, she sold 10 hamburgers and 14 cheeseburgers
an equation in slope intercept form is
y=mx+b
Depends of the size of the quadrilateral in relation to the circle, but otherwise, yes
Answer:
Given: In parallelogram ABCD, AC=BD
To prove : Parallelogram ABCD is rectangle.
Proof : in △ACB and △BDA
AC=BD ∣ Given
AB=BA ∣ Common
BC=AD ∣ Opposite sides of the parallelogram ABCD
△ACB ≅△BDA∣SSS Rule
∴∠ABC=∠BAD...(1) CPCT
Again AD ∥ ∣ Opposite sides of parallelogram ABCD
AD ∥BC and the traversal AB intersects them.
∴∠BAD+∠ABC=180∘ ...(2) _ Sum of consecutive interior angles on the same side of the transversal is
180∘
From (1) and (2) ,
∠BAD=∠ABC=90∘
∴∠A=90∘ and ∠C=90∘
Parallelogram ABCD is a rectangle.
