Answer:
x=92 y=23
Step-by-step explanation:
Let them be x and y respectively
so given
x-y=69
and
x/y=4 x=4y
so we can write
x-y=69
as
4y-y=69 3y=69 y= 69/3 = 23
now y is 23
so putting in any equation will give the value of x
so
x-23=69 x=92
Answer:
It took Jen 4 hours to catch up with Laura
Step-by-step explanation:
Gaining speed 45-30= 15 mph
Laura's head start 30×2=60 miles
Time for Jen to catch up 60÷15= 4 hours
In other words
30(t+2)= 45t
30t+60= 45t
60=45t-30t
60= 15t
t=4 hours
Answer:
D. One
Step-by-step explanation:
A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.
A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do <u>the math</u> to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.
"<u>The Math</u>"
-> Keep in mind there will be four angles
-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.
360° - 90° = 270°
270° / 3 = 90° ✓
Answer:
5x + (x+12) = 90
x = 13
m∡1 = 5(13) = 65°
m∡2 = 13 + 12 = 25°
Step-by-step explanation:
6x + 12 = 90
6x = 78
x = 13
Answer:
42.75
Step-by-step explanation:
area of one piece, length x width: 3 x 4 3/4
14.25
area of 3 pieces: 14.25(3)= 42.75