45 + 65 = 5m + 65
45 = 5m
m = 9
Answer:
Length is 20 m and width is 4 m.
Step-by-step explanation:
Given:
Perimeter of the rectangular alley, 
Length is 5 times the width.
Let width be 
.
So, as per question,
Length,
Now, perimeter of rectangle is given as:
Plug in 48 for 
, 
for 
and for b.
Therefore, width is 4 m.
Length is 
m.
4y - 8 - 2y + 5 = 0
2y - 3 = 0
2y = 3
y = 3/2
9514 1404 393
Answer:
Step-by-step explanation:
You know the linear pair z° and 105° are supplementary angles, so ...
z = 180 -105 = 75
The other base angle of the isosceles triangle has the same measure, 75°. __
Then x can be found either from the sum of interior angles of the triangle, or from the relation of 105° to the "remote interior angles". The first relation gives ...
75° +75° +x° = 180° ⇒ x = 180 -150 = 30
The second relation gives ...
75° +x° = 105° ⇒ x = 105 -75 = 30
__
y° is supplementary to the left-side base angle, so is ...
y = 180 -75 = 105
Of course, you could also figure y from the symmetry of the figure.
The values of x, y, z are 30, 105, 75, respectively.
Answer: The numbers are -3 and - 6
Step-by-step explanation:
Let the first number be x and the second number be y , then from the first statement we have
x + 3 = y ............. equation 1
From the second statement
2y = 3x + 12 ............ equation 2
solving the resulting simultaneous equation by substitution method ,we have:
substitute x - 3= y into equation 2 , we have
2( x + 3) = 3x + 12
2x + 6 = 3x + 12
2x - 3x = 6
x = -6
substitute x = - 6 into equation 1 , that is
- 6 + 3 = y
Therefore ,
y = -3
2y = 3y + 3
Check:
x + 3 = y , implies
-6 + 3 = -3 = y
Also 2y = 3x + 12 , implies
2(-3) = -6
3(-6) + 12 = -6
