-4p=3p+28
-4p+4p=3p+3p+28
-28=6p+28-28
p=-28/6
p=-4 2/3
Answer:
Step-by-step explanation:
The tangent to the angle makes an angle of 90° with the radius.
The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.
By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore
x = 60-30 = 30°.
Answer:
1. 
is a perfect square trinomial
Step-by-step explanation:
2. Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself.
3. I will upload a picture showing my work
Answer:
there are 11 big-bags and 24 small-bags.
Step-by-step explanation:
there are x big-bags and y small-bags.
so now we can know:
(1) x + y = 35
(2) 12x + 7y = 300
in (1),we can do like this:
both left and right x7
then (x + y)x7 = 35 x 7
then 7x + 7y = 35 x 7
then 7x + 7y = 245
now,
(1)7x + 7y =245
(2)12x + 7y = 300
we can both left and right do this: (2) - (1)
then
(12x + 7y) - (7x + 7y) = 300 -245
then
12x + 7y - 7x - 7y = 300 -245
then
12x - 7x +7y - 7y =300 -245
then
5x =55
then
5x ÷ 5 = 55 ÷ 5
then
x = 11
because
x + y =35;x=11
so
11 + y =35
11+ y -11 = 35 -11
then
y = 24
now we know:there are 11 big-bags and 24 small-bags.
Area = 10 * 1/2* * 14 * 25 (note decagon has 10 sides)
= 1750
