Answer:
7
Step-by-step explanation:
Criteria:
• same number of books on each shelf
⇒find a number that divides 58 and 145
• greatest number of books on each shelf
⇒find the greatest number that divides 58 and 145
Find the GCF of 58 and 145.
58 = 2 ⋅ 29
145 = 5 ⋅ 29The GCF of 58 and 145 is 29.
Each shelf will contain 29 books.
There are 203 total books (because 58 + 145 = 203).
Divide 203 by 29 to find the number of shelves there should be.
203 / 29 = 7
Therefore, there will be 7 shelves.
Answer:
x = 145°
Step-by-step explanation:
We know that y = 98°, so we can find ∠DBC:
180°-y = ∠DBC
180°-98° = 82°
We also know that z = 63°, therefore we can apply <u>exterior angle of triangles</u> to find x.
∠DBC + z = x
82°+63° = x
x = 145°
Answer: Below the solid line
Step-by-step explanation:
-4y - x ≥ 7
add x to both sides
-4y ≥ x + 7
divide by -4 on both sides
y ≤ -1/4x - 7/4 = (1.75)
Take the origin (0,0) and substitute it for the variables
y(0) ≤ -1/4(0) - 7/4
0 ≤ -7/4 = (1.75)
This statement is false, so you would shade on a graph, below the solid line, since this is where the origin would not be.
The line would be solid because the < is underlined.
