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Give GHJ=XJZ find each missing measure

Answer/Step-by-step explanation:

Given that ∆GHJ is congruent to ∆XYZ, this:

<G = <X,

<H = <Y = 38°

<J = <Z,

GH = XY = 27 ft

HJ = YZ = 27 ft (two sides of an isosceles ∆ are the same)

GJ = XZ = 18 ft

a. GJ = 18 ft

b. XY = 27 ft

c. ZY = 27 ft

d. m<H = m<Y (corresponding angles)

m<H = 38° (substitution)

e. m<Z = (180 - 38)/2 (base triangles of an isosceles ∆ are equal)

m<Z = 142/2

m<Z = 71°

f. m<J = m<Z (corresponding angles)

m<J = 71° (substitution)

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk