Answer:
15 feets
Step-by-step explanation:
The perimeter of a parallelogram is given as :
P = 2(l + w)
l and w are the bases :
Substituting the values into the equation :
P = 2(x + 75 + x + 45)
P = 2(2x + 120)
P = 300
Hence ;
300 = 4x + 240
300 - 240 = 4x
60 = 4x
Divide both sides by 4 to isolate x
60 /4 = 4x / 4
15 = x
x = 15 feets
Step-by-step explanation:
the total angles in the triangle are 180°
so,
63° + 57° + ∠2 = 180°
120° + ∠2 = 180°
∠2 = 180° - 120°
∠2 = 60°
<h3>#CMIIW</h3>
All you have to do is divide 321 by 3 to get $107.00 each night
Answer:
125 m
Step-by-step explanation:
The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.
By Pythagoras theorem
Christina had to travel 125 m from the three-way junction to the church.
9514 1404 393
Answer:
- 12 boxes
- 10 pencils, 9 notebooks
Step-by-step explanation:
a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.
120 = 12×10
108 = 12×9 . . . . 12 is the greatest common divisor
Matthew can make 12 boxes with equal numbers of the items.
__
b) 120 pencils divided by 12 will be 10 pencils per box.
108 notebooks divided by 12 will be 9 notebooks per box.
_____
<em>Additional comment</em>
It helps to be familiar with multiplication tables up to about 12×12.
The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.
Here, we have ...
120/108 = 1 r 12.
108/12 = 9 r 0 ⇒ 12 is the GCD
