Answer:
mathematics is the study of numbers shapes and patterns
Grocery mart:
12÷$3.84=3.125
Food Shoppe:19÷$5.70=3.333
so grocery mart is cheaper by
0.2075333333
Answer:
Step-by-step explanation:
i). 

= 8a²
ii).
= 
= 
= 9a²b²c²
Answer:
4x + 2y = 7
Step-by-step explanation:
The standard form equation goes as follows: Ax + By = C
We know what A, B, and C is so all we need to do is fill them in.
<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;

where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;

Multiplying both sides of the equation by 2, we have;

Simplifying, we have;

Adding both sides of the equation by 2, we get;

Dividing both sides of the equation by 10, we have;

Thus, the value of x is 5.