A I believe (sry if I’m wrong)
Answer:
Option D: 6x-14 is the correct answer.
Step-by-step explanation:
Given that:
Length of the box = L = 2x-2
Width of the box = W = x-5
Perimeter is defined by the sum of length of all sides of the box.
Perimeter of the box = P = 2L + 2W
Perimeter of box = 2(2x-2) + 2(x-5)
Perimeter = 4x-4+2x-10
Perimeter = 6x-14
The perimeter of the box is 6x-14.
Hence,
Option D: 6x-14 is the correct answer.
Check the picture below.
so the rectangular prism, or that box, is really just 6 rectangles stacked up to each other at the edges, notice
front and back are just two 9x5 rectangles
left and right are just two 5x4 rectangles
top and bottom are just two 9x4 rectangles
get the area of all 6, sum them up, and that's the area of the box.
Answer: "No, the triangles are not necessarily congruent." is the correct statement .
Step-by-step explanation:
In ΔCDE, m∠C = 30° and m∠E = 50°
Therefore by angle sum property of triangles
m∠C+m∠D+m∠E=180°
⇒m∠D=180°-m∠E-m∠C=180°-30°-50°=100°
⇒m∠D=100°
In ΔFGH, m∠G = 100° and m∠H = 50°
Similarly m∠F +∠G+m∠H=180°
⇒m∠F=180°-∠G-m∠H=180°-100°-50=30°
⇒m∠F=30°
Now ΔCDE and ΔFGH
m∠C=m∠F=30°,m∠D=m∠G=100°,m∠E=m∠H=50°
by AAA similarity criteria ΔCDE ≈ ΔFGH but can't say congruent.
Congruent triangles are the pair of triangles in which corresponding sides and angles are equal . A congruent triangle is a similar triangle but a similar triangle may not be a congruent triangle.