The angles of a rectangle are equal ALWAYS.
The rectangle has 4 angles, each angle is a right angle or has a measurement of 90°. Total of all interior angle is 360°.
Just like a rectangle, a square has an angle that is always equal because its angles are all right angles.
Answer:
A. 8 cm sq
Step-by-step explanation:
Find the scale factor
new width/original width
8/1.6=5
calculate length of original rectangle
new length/scale factor
25/5=5cm
Find area of original rectangle
A=l×w
A=1.6×5=8cm²
Answer:
m<FAB = 75°
m<BAC = 105°
Step-by-step explanation:
First, find the value of x.
(13x - 3)° = (3x + 2)° + 55° (exterior angle theorem of a ∆)
Solve for x
13x - 3 = 3x + 2 + 55
13x - 3 = 3x + 57
Collect like terms
13x - 3x = 57 + 3
10x = 60
Divide both sides by 10
x = 6
✔️m<FAB = 13x - 3
Plug in the value of x
m<FAB = 13(6) - 3 = 78 - 3
m<FAB = 75°
✔️m<BAC = 180 - m<FAB (angles on a straight line/supplementary angles)
m<BAC = 180 - 75 (substitution)
m<BAC = 105°
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Answer:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
These both answers are correct.
Step-by-step explanation:
Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.
If x is the food bill our equation can be:
(x+16)/8 = 76/8
Solving the equation
(x+16)/8 = 9.5
x+16= 9.5*8
x= 76 -16
x= 60
The food bill is x=60.