Answer:
see below
Step-by-step explanation:
side opposite 90 angle = x 
sides opposite 45 angle = x
the multiplication and division by
should be self explanatory
1. x = 5, y = 5
2. v = 10, u = 10
3. x =
, y = 
4. m = 5, n = 
5. a =
, b = 
6. a =
, b = 
A)2y - 1/2 = -1/3
2y=-1/3+1/2
FIND THE LCM TO MAKE THE FRACTIONS LIKE FRACTIONS
LCM OF 3 AND 2 IS 6
-1/3*2=-2/6
1/2*3=3/6
-2/6+3/6=1/6
2y=1/6
y=1/6 ÷ 2
TAKING THE RECIPROCAL,
RECIPROCAL OF 2 IS 1/2
y=1/6*1/2
y=1/12
B) 6 + 5 (a - 1) = 30
6+(5)*(a)+(5)*(−1)=30(Distribute)
6+5a+−5=30
(5a)+(6+−5)=30(Combine Like Terms)
5a+1=30
5a=30-1
5a=29
a=29/5
15.sum of three consecutive integers=48
let the numbers be x ,x+1,x+2
x+x+1+x+2==48
3x+3=48
3x=48-3
3x=45
x=45/3
x=15
x+1=15+1=16
x+2=15+2=17
the numbers are 15,16,17
- Midpoint Formula:

Plug the coordinates into the midpoint formula and solve as such:

<u>Your midpoint is (5,-1).</u>
Answer:
D. C = 0.59x+ 275
Step-by-step explanation:
Answer:
See attached image
Step-by-step explanation:
With this type of reflection, one has to convert the points of the form (x, y) into (y, x).
So the vertices of the triangle will transform the following way:
(4, 4) into image (4, 4)
(4, 1) into image (1, 4)
(2, 1) into image (1, 2)
Please see attached picture to find the new reflected triangle depicted in red.