Answer:
statement: 2. both pairs of parallel lines are congruent
reason: 2. def. of a parallelogram
and that should be all you need
Answer:
Below.
Step-by-step explanation:
f) (a + b)^3 - 4(a + b)^2
The (a+ b)^2 can be taken out to give:
= (a + b)^2(a + b - 4)
= (a + b)(a + b)(a + b - 4).
g) 3x(x - y) - 6(-x + y)
= 3x( x - y) + 6(x - y)
= (3x + 6)(x - y)
= 3(x + 2)(x - y).
h) (6a - 5b)(c - d) + (3a + 4b)(d - c)
= (6a - 5b)(c - d) + (-3a - 4b)(c - d)
= -(c - d)(6a - 5b)(3a + 4b).
i) -3d(-9a - 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b).
= (3d + 2c)(9a + 2b).
j) a^2b^3(2a + 1) - 6ab^2(-1 - 2a)
= a^2b^3(2a + 1) + 6ab^2(2a + 1)
= (2a + 1)( a^2b^3 + 6ab^2)
The GCF of a^2b^3 and 6ab^2 is ab^2, so we have:
(2a + 1)ab^2(ab + 6)
= ab^2(ab + 6)(2a + 1).
V = a * b * c
V = 30
a = 5
b = 2
c = ?
30 = 5*2*c
30 = 10*c
c = 30/10 = 3
c = 3
6 chewy toys and 6 cat collars are needed to have the same amount or price at both stores.
<h3>
Equation</h3>
An equation is an expression used to show the relationship between two or more angles and variables.
Let x represent the number of dogs and y represent the number of cats collars. Hence:
At Marco's market:
2x + 6y = 48 (1)
At Sonia's superstore:
4x + 4y = 48 (2)
Graphing both equations, the solution is at (6,6)
6 chewy toys and 6 cat collars are needed to have the same amount or price at both stores.
Find out more on Equation at: brainly.com/question/13763238
Answer:
15 girls, 35 boys
Step-by-step explanation:
Step 1:
3 : 7 Ratio
Step 2:
3x + 7x = 50 Substitute
Step 3:
10x = 50 Add
Step 4:
50 ÷ 10 Divide
Step 5:
x = 5
Answer:
15 girls, and 35 boys Multiply
Hope This Helps :)
