Please help now!! Given triangle ACP and triangle LNX, find each missing measure.

Answer/Step-by-step explanation:

Given:

m<A = 29°

PA = 13 cm

LN = 21 cm

Since ∆ACP ≅ ∆LNX (isosceles ∆s), therefore,

<A = <L

<C = <N

<P = <X

AC = LN

XL = PA

XN = PC

since, XL = XN (equal sides of isosceles ∆LNX), therefore, PA = PC

Thus,

Since XL = PA

XL = 13 cm (substitution)

Since AC = LN

AC = 21 cm (substitution)

Since PC = PA,

PC = 13 cm (substitution)

Since <L = <A,

m<L = 29° (substitution)

Since ∆ACP is an isosceles ∆, the base angles are equal. Therefore,

m<C = m<A

m<C = 29° (substitution)

m<X = m<P

m<P = 180 - (29 + 29) (sum of ∆ACP)

m<P = 122°

Therefore,

m<X = 122° (corresponding angles of congruent ∆s)

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841