The prallelogram whose adjacent sides are equal and one vertex angle is 90 degrees is a square.
The value of angle 1 is 90 degrees as the diagonal of the square intersect at 90 degrees.

The value of y is 23.
The diagonal of the square bisect the vertex angle hence the angle of 3x is 45 degrees.

Thus, the value of x is 15 degrees.
The value of 12z is 45 degrees.

Thus, the required value of z is 3.75 degrees.
Answer:

Step-by-step explanation:

Factor using Rational Root Theorem.
This means our possible roots are
positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.
This means that

is a root.
We can divide the top equation by the root (x-1). Our new equation is

Now we can factor this completely

So this equation in factored form is

Answer:
m=1
Step-by-step explanation:
step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses
step 2: 8 m + 2 = 3 12 - 4m move the terms
step 3: 8m+ 12m= 36 - 16 collect like terms and calulate
step 4: 20m=20 divide both sides
solution: m=1
14t^3*6t
= (14*6)*(t^3*t)
= (2*7*2*3)*(t*t*t*t)
= 2*2*3*7*t*t*t*t
Answer:
Number of Muhammad's swim suits = k - 8
Step-by-step explanation:
Given:
Number of Charlie's swim suits = K
Number of Muhammad's swim suits = 8 less than Charlie
Find:
Expression [Number of Muhammad's swim suits]
Computation:
Number of Muhammad's swim suits = 8 less than Charlie
Number of Muhammad's swim suits = k - 8