Answer:
- HU ≅ HG
- ∠R ≅ ∠F
- DE ≅ XW
Step-by-step explanation:
It helps to understand what the letters in SSS, AAS, and ASA mean. S stands for <em>side</em>; A stands for <em>angle</em>. The sequence of letters refers to the sequence of sides and angles that must be shown to be congruent in order for that theorem to apply. AAS means two angles and a side <em>not</em> between them; ASA means two angles and the side between them.
To solve these problems, you need to identify the congruences already shown in the diagram, then find the one that is missing to finish out the sequence of sides and angles represented by the abbreviation.
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1.
Sides UF and GF are marked congruent. Side HF is congruent to itself. So to use SSS, you need the third sides of the triangles congruent:
HU ≅ HG
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2.
Side PQ is shown congruent to DQ. We know the vertical angles at Q are congruent. To use AAS, we need an angle not adjacent to the congruent sides, so we need ...
∠R ≅ ∠F
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3.
A pair of angles in each triangle is shown congruent. To use ASA, the congruent sides need to be between the congruent angles:
DE ≅ XW
It would be 12 lbs of potatoes
Combine like terms - in this case, that would be the real and imaginary parts:
(8 - 2i) + (5 + 9i) = (8 + 5) + (-2i + 9i)
… = 13 + 7i
Then <em>a</em> = 13 and <em>b</em> = 7.
Answer:
1.98 x 10³
Step-by-step explanation:
1980
= 1.98 x 1000 (note 1000 can be written as 10³)
= 1.98 x 10³ (answer)
There is a lot to go over here. Unfortunately it looks like you got a lot incorrect. I'll focus on two problems. Hopefully these examples below will help correct the other mistakes.
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Problem 7)
We have the starting value be 20 and the ending value be 11. Subtract the values: (end)-(start) = 11 - 20 = -9. The negative indicates we have a drop or decrease.
We'll focus on the positive version of this number, so 9. Divide this value over the starting amount 20 to get 9/20 = 0.45 = 45%
So going from 20 miles to 11 miles is a decrease of 45%
Answer to problem 7 is: 45%
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Problem 13)
An increase of 300% means we added 3 times the original amount onto the original amount.
We take 300% of 25 to get 3*25 = 75
Which is then added onto 25 to get 25+75 = 100
Answer to problem 13 is: 100