Answer:
∠GJK is 22°
Step-by-step explanation:
Because the shape is a rectangle we know that GH is parallel to JI
This means that because of the alternate angle rule we know that
5x+8 = 7x-16
Then we solve for x
5x+8-5x = 7x-16-5x
8+16=2x-16+16
=
x=16
So this means that ∠HJI is 68°
Because the shape is a rectangle we know that ∠GJI is a right angle
This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule
90-68 =22
∴∠GJK is 22°
Answer:
Answer for 2nd is option c, for 3rd is option d, for 4th is option e
Step-by-step explanation:
As we know 1 ft.=12 in.
∴ The congruent sides are AB and AC respectively
∵ <em>Perimeter of ΔABC</em> =AB+AC+CB
=9 ft. 3 in. + 9 ft. 3 in. +12 ft. 4 in.
=30 ft. 10 in.
2. In ΔDEF
∴ The congruent sides are DE and DF respectively
∵ <em>Perimeter of ΔDEF</em> =DE+DF+FE
= 6 ft. 3 in. +6 ft. 3 in. +8 ft. 4 in.
= 20 ft. 10 in.
3. In ΔJKL
∴ The congruent sides are JL and KL respectively
∵ <em>The dimensions of the ΔJKL are 39,39 and 17.</em>