Answer:
-8k - 15
Step-by-step explanation:
5(-2k-3)+2k
At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -
[(-) x (-) = (+); (+) x (-) = (-)]
Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.
or, -5*(2k) - (5*3) + 2k
or, -10k - 15 + 2k
or, -8k - 15 (after the deduction)
The answer is = -8k - 15
Answer: Hence, the value of expression is 30 when p = 8.
Step-by-step explanation:
Since we have given that

and we have p = 8.
So, we substitute the value of p in the above expression.
so, it becomes,

Hence, the value of expression is 30 when p = 8.
The correct slope is 11/2. You can find this with the rise and run method or converting to slope intercept form which is y=11/2x+20.
Because ABCD is an isosceles trapezoid, the angles A and D are congruent.
BA and CD are congruent (given) and AD is congruent to itself (reflexive property).
Then triangles BAD and CDA form a pair of SAS triangles, so they are congruent.
BD and CA are corresponding parts in those triangles, so they are congruent (CPCTC).