Answer:
36 inches
Step-by-step explanation:
lets think of it as a ratio,
80:w
20:9
so we want 20 to get to 80
and 9 to get to w right?
so if we just move the smaller rectangle to the corner, then 20*4=80 right?
and if we do that, we do it to 9 as well, 9*4=36
w=36
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<span><span> 5x2-23x=-26</span> </span>Two solutions were found :<span><span> x = 2
</span><span> x = 13/5 = 2.600
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x^2-23*x-(-26)=0
Step by step solution :Skip Ad
<span> Step 1 :</span><span>Equation at the end of step 1 :</span><span> (5x2 - 23x) - -26 = 0
</span><span> Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 5x2-23x+26</span>
The first term is, <span> <span>5x2</span> </span> its coefficient is <span> 5 </span>.
The middle term is, <span> -23x </span> its coefficient is <span> -23 </span>.
The last term, "the constant", is <span> +26 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> 5 • 26 = 130</span>
Step-2 : Find two factors of 130 whose sum equals the coefficient of the middle term, which is <span> -23 </span>.
<span><span>
-130
+
-1
=
-131
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<span>
-65
+
-2
=
-67
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<span>
-26
+
-5
=
-31
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<span>
-13
+
-10
=
-23
That's it</span></span>
BD is 31 degrees because it is the same.
ADB is 90-31 because it is a right angle ( 59 degrees)
DEC is 180 - (31*2) because the 180 is of the trangle and the 31 is the same on the other side so times 2 then removed from 180
The answer would be (x+2) (x+1)
The best estimate of the population mean is the sample mean
first calculate the sum of all samples:
32+24+14+34+26+27+31+16+18+26=248
then divide by the amount of samples to get the samples mean: 248/10=24.8 miles per gallon
