Statement Reason
ΔABC is a right triangleBD ⊥ AC Given
∠ ABC = ∠BDC Right angles have the same measure.
∠ BCA = ∠ BCD same angle
ΔABC ~ΔBDC AA Similarity Postulate
BC
DC
=
AC
BC
Corresponding sides of similar triangles are proportional
BC2 = (AC)(DC) Cross multiplication
∠ ABC = ∠ADB Right angles have the same measure
∠ BCA = ∠ BAD same angle
ΔABC ~ΔABD AA Similarity Postulate
AB
AD
=
AC
AB
Corresponding sides of similar triangles are proportional
AB2 = (AC)(AD) cross multiplication
AB2 + BC2 = (AC)(AD) + (AC)(DC) Addition
AB2 + BC2 = (AC)(AD + DC) ?
AB2 + BC2 = (AC)2 Addition

What is the missing reason?

A) Addition Property
B) Division Property
C) Associative Property
D) Distributive Property

step-by-step explanation:

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

22, 28, 34, 40, 46

b)   f(n) = 6n + 16

n = what is the number of the row ( 22 would be row 1) so if we replaced n with 1, we would get 22

c)   the 14th row will have 100 seats

(1)   (2)   (3)   (4)   (5)   (6)   (7)   (8)   (9)   (10) (11) (12) (13) (14)

22 | 28 | 34 | 40 | 46 | 52 | 58 | 64 | 70 | 76 | 82 | 88 | 94 | 100