X= -8
Y= -48
Explanation:
Since we know that 3x-24 is equal to y, we can plug that in for y in the equation 5x-y=8. That would look like 5x-(3x-24)=8. Distribute the -1 and you will get 5x-3x+24=8. Subtract 24 from both sides and get 2x=-16. Divide both by 2 and get x=-8. Than plug in -8 for y in one of the equations to get the y. You will get -48.
so ar^ = 2000 and you told me r = 10
a(10^5) = 2000
a = 2000/100000 = 1/50
<h3>
Answer: 168 square feet</h3>
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Explanation:
The front triangular face is a triangle with base 8 and height 6. Its area is
A = 0.5*base*height
A = 0.5*8*6
A = 24 square feet
The back triangular face is also 24 square feet since these are the base faces of the prism. The base faces are always congruent. It might help to imagine this figure is turned on its side.
The slanted lateral face is a rectangle of length 10 ft and width 5 ft, so its area is L*W = 10*5 = 50 square feet
The rectangular face on the left is 6 ft by 5 ft giving an area of 6*5 = 30 square feet.
Lastly, the bottom rectangular face is 8 ft by 5 ft giving an area 8*5 = 40 square feet
Overall, the total surface area is: 24+24+50+30+40 = 168 square feet
We just add up all the individual areas of each face to get the total surface area.
HL Theorem
Because the hypotenuse is shared between the two (they both share the same hypotenuse) and the long lengths are both marked congruent (which are both a leg).
Answer: A & C
Step-by-step explanation:
Got it on edgenuity
