Answer:
see explanation
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, then
19x - 9 = 13x + 15 ( subtract 13x from both sides )
6x - 9 = 15 ( add 9 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
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Consecutive angles are supplementary, sum to 180° , that is
10y - 37 + 4y + 7 = 180
14y - 30 = 180 ( add 30 to both sides )
14y = 210 ( divide both sides by 14 )
y = 15
Then
∠ R = 10y - 37 = 10(15) - 37 = 150 - 37 = 113°
Then
∠ P = 113° ( opposite angles are congruent )
To solve for the value of the residues A, we can use the
formula:
<span>A^2 = 1 (mod
prime)</span>
This is only true for prime numbers. The given number
which is 317 is a prime number therefore the values of the residues A are:
A = + 1, - 1
Since I believe the problem specifically states for the list
of positive integers only and less than 317, a value of A = - 1 is therefore
not valid. However, a value of – 1 in this case would simply be equal to:
317 – 1 = 316
<span>Therefore the residue values A are 1 and 316.</span>
Let's simplify step-by-step. <span>7−<span>4<span>(<span>3−<span>(<span><span>4y</span>−5</span>)</span></span>)</span></span></span>
<span><span><span /></span></span>Distribute:<span> =<span><span><span>7+<span><span>(<span>−4</span>)</span><span>(3)</span></span></span>+<span><span>(<span>−4</span>)</span><span>(<span>−<span>4y</span></span>)</span></span></span>+<span><span>(<span>−4</span>)</span><span>(5)</span></span></span></span><span>=<span><span><span><span><span>7+</span>−12</span>+<span>16y</span></span>+</span>−20</span></span>
<span><span /></span>Combine Like Terms: <span>=<span><span><span>7+<span>−12</span></span>+<span>16y</span></span>+<span>−20</span></span></span><span>=<span><span>(<span>16y</span>)</span>+<span>(<span><span>7+<span>−12</span></span>+<span>−20</span></span>)</span></span></span><span>=<span><span>16y</span>+<span>−25</span></span></span>
<span><span><span>
</span></span></span>
<span><span><span /></span></span>Answer: <span>=<span><span>16y</span>−<span>25</span></span></span>
Answer:
$4.00
Step-by-step explanation:
$11 divided by 2.75 pounds = $4.00 per pound
Answer:
blue line
Step-by-step explanation:
(-1, 5) (0,0) (1,-3) (2,-4) (3,-3) (4, 0)(5,5)