In the figure below, quadrilateral EFHJ is a parallelogram, and triangle FGH is a scalene right triangle. Note: picture not drawn to scale

If mJEF = 142°, what is mHFG?
A.
52°
B.
60°
C.
30°
D.
38°

Option A. 52°

Step-by-step explanation:

From the figure attached,

JEFH is a parallelogram and ΔFGH is a scalene right triangle.

If m∠JEF = 142°

m∠JHF = 142° [Since opposite angles of the parallelogram are equal]

m∠FHG + m∠JHF = 180°

m∠FHG + 142° = 180°

m∠FHG = 180 - 142

              = 38°

In the given scalene right triangle FGH,

m∠FHG + m∠HFG + m∠HGF = 180°

38° + m∠HFG + 90° = 180°

m∠HFG = 180° - 128°

m∠HFG = 52°

Option A. will be the answer.

your answer is 23/2 - 13.5

step-by-step explanation:

7/2 evaluates to

multiply x and 4.5

multiply x and 1

the x just gets copied along.

the answer is x

x

4.5*x evaluates to 4.5x

multiply 3 and 4.5x

multiply 1 and x

the x just gets copied along.

x

4.5*x*3 evaluates to 13.5x

7/2-4.5*x*3 evaluates to

  + 8 =

the answer is

7/2-4.5*x*3+8 evaluates to

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: