Answer:
The amount of Rita's pocket money left is Rs. 36.
Step-by-step explanation:
Pocket money that Rita had before = 144
Money spent for magazines = 52% of 144
=
= 0.52(144)
= 74.88
Money spent for movies = 23% of 144
=
= 0.23(144)
= 33.12
Money left with Rita = 144 - (74.88 + 33.12)
= 144 - 108
= 36
Hence, Rita left with Rs. 36.
Aliter:
Total money spent = (52 + 23)% = 75%
So, money left with Rita = 100 - 75 = 25%
25% of 144 = 0.25(144) = 36.
Answer ∠DEG: 54°
Answer ∠GEF: 36°
Step 1: Write your equation
This question is asking you to determine the measurement of two angles. To begin, you must first solve for x. By looking at ∠DEH, you can see that these angles should equal 90°, since ∠DEF is equal to ∠DEH. Let’s solve for x by writing an equation using the information above. Add the two given angles and equal them to 90 degrees.
6x+4x=90
Step 2: Solve for x
To find the degrees we must first solve our created equation. We need to combine like terms then divide to get x alone.
6x+4x=90
10x=90
x=9
Step 3: Substitute x to find the degree of each angle
The last step will be the most simple. Substitute x into each angle to solve.
6x= 6(9) = 54°
∠DEG= 54°
4x= 4(9)= 36°
∠GEF= 36°
These are your answers! You can check that they are right by adding them, and ensuring that they equal 90°.
Hope this helps! Comment below for more questions.