I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
Answer:
16 mph
Step-by-step explanation:
Givens:
4 hours total time
48 miles total distance
So our equation should look like this.
48 = 2x(2) + x(2)
Where x = speed second half of trip.
x = 8
x*2 = 16 mph
<span>32*18=576 oz. </span>
<span>Store A offers 24-12 oz cans for $5.89. That means $5.89 gets you 288 oz. Store B offers 12-12oz cans for $3.79, so that means $3.79 gets you 144oz. </span>
<span>Store A is $5.89 per every 288 oz. You need 576 oz, which is double that. That means it will cost you twice as much as it would buying 24-12 oz cans: </span>
<span>$5.89*2=$11.78 </span>
<span>Store B is $3.79 for 144 oz. As previously stated, you need 576 oz, so you'll need to buy 4 12-packs of 12 oz cans: </span>
<span>$3.79*4=15.16 </span>
<span>So not only is Store A a better deal, but they'll save you $15.16-$11.78=$3.38 dollars. </span>
Answer:
The answer is A. Substitution
Step-by-step explanation:
Looking at the previous proofs, you can see that:
∠Y≅∠4
∠Z≅∠6
∠X + ∠4 + ∠6 = 180°
Statement 5 then replaces ∠4 and ∠6 with ∠Y and ∠Z, respectively. Replacing it means that it was substituted with the GIVEN values by the previous statements.
The best answer is the Substitution.
