Answer:
<3 ~= <5 - Alternate Interior Angles Theorem
<3 ~= <7 - Corresponding Angles Theorem
<5 ~= <7 - Vertical Angles Theorem
line I || line m - Transitive Property
Answer:
The equation is R = 20d + m(1)
Where R is the rental amount in dollars, d is the number of days and m is the number of miles driven
R for 3 days and 1000 miles is $1,060
Step-by-step explanation:
To properly represent the algebraic expression, we need to assign some variables.
Now, let the rental amount be R, the number of miles driven be m and the number of days rented for is d
Thus, we can say that:
R = 20d+ m(1)
Where R is rental amount, m is the number of miles driven and d is the number of days for which the truck was driven.
Now we are asked to calculate rental amount for 3 days and 1000 miles.
R = 20d + m(1)
R = 20(3) + 1000(1)
R = 60 + 1000
R = $1,060
9514 1404 393
Answer:
A: (3x +4)
B: (4x +5y) × (4x -5y)
Step-by-step explanation:
<u>Part A</u>:
Since we know the trinomial is a perfect square, we know the terms of each binomial factor are the square roots of the first and last terms of the trinomial.
9x² +24x +16 = (√(9x²) +√16)² = (3x +4)²
The side of the square is 3x+4.
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<u>Part B</u>:
The difference of squares is factored like this:
a²-b² = (a +b)(a -b)
The given area expression is the difference of squares with ...
a = 4x, b = 5y
so, the factorization is ...
16x² -25y² = (4x +5y)(4x -5y)
The dimensions of the rectangle are (4x+5y) by (4x-5y).
Answer:
See Attachment.
Step-by-step explanation:
To create the new figure, we must multiply each coordinate by the scale factor, which is 1/2 in this case.
So j(-2,2) becomes j'(-1,1)
K(4,2) becomes K'(2,1)
L(4,-2) becomes L'(2,-1)
and M (-2,-2) becomes M'(-1,-1)
The scale factor is between 1 and 0 which means that this dilation is a reduction that will shrink the original figure to a smaller one.
<span>(2.3 x 10^-3)(3 x 10^8)
=(</span>2.3 x 3)(10^-3 x 10^8)
= 6.9 x 10^5
hope it helps
