Answer:
1. HL
2. SAS
3. SSS
Step-by-step explanation:
Triangles ABR and ACR share side AR (hypotenuse of two right triiangles).
Angles ABR and ACR are right angles.
Sides AB and AC are congruent.
Sides BR and CR are congruent.
1. You can use HL theorem, because two triangles have congruent pair of legs and congruent hypotenuses.
2. You can use SAS theorem, because two triangles have two pairs of congruent legs and a pair of included right angles between these legs.
3. You can use SSS theorem, because two triangles have two pairs of congruent legs and congruent hypotenuses.
<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.
New York City is around 3,000 miles away from London
Answer:
Random variable
Step-by-step explanation:
The reason it is a random variable is because a, the definition fits, and b you can use context clues as well, such as 'determined by chance' which is another example of random! So, the answer is random, because random variables are determined by chance. Hope this helped.