If A,B and C lie on the same line:
4x- 9 + 3x+5 = 17
7x = 21
x = 3
Okay. The equation is the way to figure out how much can be put into the suitcase.
What you do is substitute the various weights for w, and see if the equation is true.
So, 42 + w ≤ 50.
If you use the wieght of the books, 10lb, it looks like this: 42 + 10 ≤ 50. If you solve that, the equation isn't true, so you can't put the books into the suitcase.
The measure of the exterior angle at vertex D is: D. 54°
<em><u>Recall:</u></em>
- The exterior angle theorem of a triangle states that the measure of an exterior angle equals the sum of the measures of two opposite interior angles of the triangle.
<em><u>Thus:</u></em>
In ΔDEF, (8x−2)º is an exterior angle at vertex D.
m∠E = (3x−8)° (interior angle)
m∠F = (4x+13)° (interior angle)
<em>Therefore:</em>
(8x−2)º = (3x−8)° + (4x+13)°
8x - 2 = 3x - 8 + 4x + 13
8x - 2 = 7x + 5
8x - 7x = 2 + 5
x = 7
Exterior angle at vertex D = (8x−2)º
= 8(7) - 2
= 54º (option D)
Learn more about exterior angle theorem on:
brainly.com/question/24756010
Answer:
isosceles triangle
Step-by-step explanation:
