Answer:x= 36 y= 67 and z=77
Step-by-step explanation: we have to write the equations from the data give in the exercise, this means :
First of all, x,y and z correspònd to the first, second and third angles, respectively.
The sum of the measures of the angles of a triangle is 180
can be written as x+y+z=180
The sum of the measures of the second and third angles is four times the measure of the first angle.
It can be written by: x+y=4z
The third angle is 10 more than the second
It can be written as z=y+10
By solving the equations systems the above values can be determined.
x+y+z=180
x+y=4z
z=y+10
Step-by-step explanation:
1st picture:
a) Red dots on -5 and 5
b) Red dots on -2 and 2
c) No solution
2nd picture:
8 and -8 because |x| gives the distance between zero to 8
He is wrong because 12:55 is one hr and you still need to get to 1:25 but he only got to 1:01 so he did not get the correct answer
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Simplify</u>
Compare left and right sides and
<u>Find b:</u>
- <u />
b = 15 ⇒ b = 15*3/5 = 9
<u>Find c:</u>
- 1 + c = 7 ⇒ c = 7 - 1 = 6
<u>Find a:</u>
- a + 2 = 10 ⇒ a = 10 - 2 = 8
<u>Find d:</u>
<u>Solution is:</u>
length = 3234 m and width = 1614 m
let the width = w then length = 2w + 6
Perimeter = 2 ( length + width )
= 2 (2w + 6 + w ) = 2 ( 3w + 6 ) = 6w + 12
given perimeter = 9696 the equating gives
6w + 12 = 9696
subtract 12 from both sides
6w = 9696 - 12 = 9684
divide both sides by 6
w =
= 1614
width = 1614 m and length = (2 × 1614 ) + 6 = 3234 m