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Mademuasel [1]
3 years ago
9

100 POINTS!!!! PLZ HELP ME, I AM AN IDIOT!

Mathematics
2 answers:
timama [110]3 years ago
7 0

Answer and Step-by-step explanation:

<u>For question A) </u>

ABC is similar to PQR because of the AA similarity postulate. This postulate states that <u>if any two angles in a triangle are congruent to the other two angles in a triangle, then the triangles are similar. </u>

<u>For question B) </u>

The area would be k times more than the area of ABC.

The area of a triangle is bh/2, or base times height, divided by 2.

And since they both have 4, the one with the k will be k times greater.

Hopefully this helps!!

#teamtrees #WAP (Water And Plant)

marissa [1.9K]3 years ago
6 0

Answer:

  • (a) yes
  • (b) Area of ΔPQR is k² times greater

Step-by-step explanation:

(a) As per the diagram, the triangles are similar.

  • ∠B ≅ ∠Q and ∠C ≅ ∠R

ΔABC ~ ΔPQR as per AA similarity postulate (two congruent angles)

(b) The area is the product of two dimensions. Area of ΔABC

  • A = 1/2bh

Since each side of ΔPQR is k times greater than corresponding sides of ΔABC, the base and height will be both k times greater.

<u>So the area of ΔPQR will be:</u>

  • A = 1/2bkhk = 1/2bh*k²

The area of PQR is k² times greater than the area of ΔABC

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Use the equation for the area of a triangle:
A =  \frac{1}{2} hb
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3 years ago
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Answer:

an = 17n - 46

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Step-by-step explanation:

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Subtract each number from the next one.

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5 - (-12) = 17

22 - 5 = 17

The common difference is 17. This is an arithmetic sequence which starts with -29, and in which each subsequent value is 17 more than the previous value.

a1 = -29

a2 = -29 + 17

a3 = -29 + 2(17)

a4 = -29 + 3(17)

Notice that for each term, you have -29 and something added to it. What you add to -29 is 17 multiplied by 1 less than the number of the term. For term 1, 1 less than 1 is 0. You add 0 * 17 to -29 and get -29. term 1 is -29. For term 2, 1 less than 2 is 1. You add 1 * 17 to -29 and get -12, etc.

For term n, 1 less than n is n - 1. Add (n - 1) * 17 to -29 to get term n.

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