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stich3 [128]
3 years ago
15

Please help me!

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0
<h3>Answer: angle T = 70</h3>

======================================

Work Shown:

Quadrilateral RSTU is a kite. In geometry, any kite has two pairs of adjacent congruent sides. In this case, RU = RS is one pair of adjacent congruent sides (single tickmarks), while TU = TS is the other pair of adjacent congruent sides (double tickmarks).

Draw diagonal line segment TR. This forms triangles TUR and TSR.

Through the SSS (side side side) congruence theorem, we can prove that the two triangles TUR and TSR are congruent.

Then by CPCTC (corresponding parts of congruent triangles are congruent), we can say,

angle U = angle S = 90

--------------

Re-focus back on quadrilateral RSTU (ignore or erase line segment TR). The four angles of any quadrilateral will always add to 360 degrees. Let x be the measure of angle T.

(angleU)+(angleR)+(angleS)+(angleT) = 360

90+110+90+x = 360

290+x = 360

290+x-290 = 360-290 ... subtract 290 from both sides

x = 70

<h3>angle T = 70</h3>
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Step-by-step explanation:

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Find a formula for the nth term in this
stepan [7]

The formula of nth term is  = 10 - 3n

What is AP?

  • A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. Take the numbers 5, 7, 9, 11, 13, and 15 as an example. . . is a sequence of numbers having a common difference of two.
  • The n-th term of the sequence is given by:, if the beginning term of an arithmetic progression is and the common difference between succeeding members is, then
  • If the AP contains m phrases, then denotes the final term, which is given by:
  • The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.

Acc to our question-

  • For the nth term in an algebraic series
  • U(n) = a + (n - 1)d
  • the number of terms is n.
  • The first term is a.
  • d is the typical difference
  • From the preceding sequence
  • a = 7
  • d = 4 - 7 = - 3
  • The nth term's formula is
  • U(n) = 7 + (n - 1)-3
  • = 7 - 3n + 3
  • The ultimate solution is
  • = 10 - 3n

Hence,The formula of nth term is  = 10 - 3n

learn more about AP click here:

brainly.com/question/6561461

#SPJ13

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