Answer:
The value of x would be 20
Step-by-step explanation:
To solve this triangle, we need to first note that all triangles have 180 degrees. So we can add these all together and set equal to 180.
40 + 3x + 4x = 180
40 + 7x = 180
7x = 140
x = 20
Answer:
A. Twice the radius, d = 2r
Step-by-step explanation:
The diameter is a line that splits a circle in half, while the radius is only half of that.
Answer:
690 sq in
Step-by-step explanation:
SA = LA + 2B where LA is the lateral area and B is the area of the base
The triangular base has an area of
B = 1/2bh 1/2(5)(12) = 30
LA = ph where p is the perimeter of the base and h is the height of the prism
LA = (12 + 5 + 13)(21) = 30(21) = 630
SA = 630 + 2(30) = 630 + 60 = 690 sq in
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.
This is how I'd solve it:
bench = x x+3x=600
table = 3x 4x=600
x=150
The bench costs <u>$150</u> and the table costs <u>$450</u>; combined, they cost $600, so it's correct. I hope this helps you!
