If a translation maps ∠I onto ∠K, which of the following statements is true?Triangles HGI and JGK; point H is between points J and G on segment JG, and point I is between points G and K on segment GK. 1. segment HI = 2 segment JK
ΔGHI ~ ΔGJK
segment GH = 2 segment GJ
∠G ≅ ∠K

The correct option is;

∠H ≅ ∠J

Step-by-step explanation: Given that a translation maps ∠I onto ∠K, therefore;

in triangles GHI and GJK we have;

∠I ≅ ∠K; Given

∠G = ∠G; Reflexive property

Therefore, ∠H + ∠I + ∠G = 180° (Sum of interior angles in a triangle)

Similarly,  ∠J + ∠K + ∠G = 180° (Sum of interior angles in a triangle)

Which gives;

∠H  = 180° - (∠I + ∠G) = 180° - (∠K + ∠G) = ∠J

Therefore, angle K and angle H are congruent which can be expressed as follows;

∠H ≅ ∠J.

the user above is correct

Step-by-step explanation:

5x+2x=49

7x=49

x=7. 35 apples

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is