Answer:
1. 5(a-6) = 5a-30
2. 2(3a-b) = 6a-2b
3. 5(-5x+3) = -25x+15
4. -(2c+3) = -2c-3
Both of their first step are correct (Show your calculations to explain)
x-9 = 5
x = 14
2x-18 = 10
2x = 28
x = 14
Step-by-step explanation:
All Above
Answer:
The number of ways the grasshopper can reach the desired destination are 9 ways
Step-by-step explanation:
The directions in which the grasshopper can jump are;
One block north and one block west
By counting, we have;
The number of possible ways are through blocks
1) 1, 2, 5, 6, 8, 10
2) 1, 2, 5, 6, 8, 9
3) 1, 2, 5, 6, 7, 9
4) 1, 2, 3, 6, 8, 10
5) 1, 2, 3, 6, 8, 9
6) 1, 2, 3, 6, 7, 9
7) 1, 2, 3, 4, 7, 9
8) 15, 14, 16, 12, 11, 10
9) 12, 13, 16, 12, 11, 10
Therefore, there 9 ways the grasshopper can reach the desired destination.
Option A: establishes that the diagonals intersect at right angles, which is a property of a rhombus, but not sufficient.<span> Conclusion of "no" is incorrect.
Option B: </span>establishes that the diagonals intersect at right angles, which is a property of a rhombus, but not sufficient.
<span>Option C: establishes that the diagonals bisect each other, which is a property of a rhombus, but not sufficient.
Option D: </span>establishes that the diagonals intersect at right angles, which is a property of a rhombus, AND diagonals bisect each other. Together, the two properties are sufficient to establish that the figure is a rhombus.
<span>
Another sufficient condition to establish a rhombus is that the four sides are congruent, as follows:
If A(2, −1), B(5, −5), C(10, −5), and D(7, −1) are the vertices of a rhombus IN ORDER, then AB, BC, CD, DA are the sides.
It is sufficient to prove that the four sides are congruent to conclude that ABCD is a rhombus. (can be established by joining diagonals and proving congruence of triangles by SSS).
mAB=sqrt((5-2)^2+(-5-(-1))^2)=sqrt(3^2+4^2)=5
similarly,
mBC=sqrt(5^2+0)=5
mCD=sqrt(3^2+4^2)=5
mDA=sqrt(5^2+0)=5
Since all four sides are congruent, the figure is a rhombus.
</span>
Answer:
Yes
Step-by-step explanation:
40000 x .10 is 4000 in tax. Total after tax would be 36,000
45,000 × .15 is 6750. Total after tax would be 38,250 which is more
Answer:
This is a fraction equal to
18 people÷ 6 cars
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 6
18 people ÷ 6
6 cars ÷ 6
= 3people/1
3 people per car