Given: abcd is a parallelogram. prove: ∠a≅∠c and ∠b≅∠d the quadrilateral abcd is a parallelogram, so, by definition, ab∥cd and ad∥bc. postulate 01-01 allows the construction of ac, which is a transversal of both sets of parallel lines. the theorem then supports the conclusion that ∠≅∠ and ∠3≅∠4. by the reflexive property of congruence, ac≅ac. therefore, △abc≅△cda by the asa congruence theorem. since corresponding parts of congruent triangles are congruent, we may conclude that ∠b≅∠d. to prove ∠a≅∠c, follow a similar argument beginning with construction bd. enter your answers as the word/phrase that fills in the first blank in statement 3 along with the numbers that fill in the second and third blanks in the statement. separate your answers with commas, like this: corresponding angles, 42, 53

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

happy to

pls mark as brainliest

answer: x=3 and y=4

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺