All I can say is that your equation is wrong
Let’s see now, there are 600 inches in 50 feet.
12in = 1ft, 12in * 50 = 600.
Which means the model you’ll be making will be a 1:600 ratio model. If we find out how many inches are in 1,250 feet, and divide that number by 600, we will get our answer.
1,250 * 12 = 15,000.
So 1,250 feet equate to 15,000 inches. Now we must divide 15,000 by 600.
15,000 ÷ 600 = 25.
So your model will be 25 inches (or 2’1” [2 feet & 1 inch] tall).
Answer: (c) 31 (d) 30 (e) 41 (f) 10
<u>Step-by-step explanation:</u>
NOTES about angles of a rhombus:
- diagonals are angle bisectors (cut the angle into 2 equal parts)
- diagonals are perpendicular to each other (90°)
- two adjacent triangles of a rhombus form an isosceles triangle
(c) Given: ∠CBD = 59°
Per rule 2 → ∠BEC = 90°
Triangle Sum Theorem: sum of the angles of a triangle = 180°
∠CBD + ∠BEC + ∠BCE = 180°
59° + 90° + ∠BCE = 180°
149° + ∠BCE = 180°
∠BCE = 31°
(d) Given: ∠BCD = 120°
Per rule 3 → ∠CBD = ∠CDB
Triangle Sum Theorem: sum of the angles of a triangle = 180°
∠CBD + ∠CDB + ∠BCD = 180°
2∠CBD + 120° = 180°
2∠CBD = 60°
∠CBD = 30°
(e) Given: ∠AED = 2x+8
Per rule 2 → ∠AED = 90°
2x+8 = 90
2x = 82
x = 41
(f) Given: ∠BCE = 3x + 3 and ∠ECD = 5x - 17
Per rule 1 → ∠BCE = ∠ECD
3x + 3 = 5x- 17
3 = 2x - 17
20 = 2x
10 = x
8/9 - 1/3 =
8/9 - 3/9 = 5/9
Answer:
<em>x and y are not in direct variation.</em>
Step-by-step explanation:
<u>Direct Variation</u>
Two variables x and y have a direct proportion or variation if:
y = k.x
Where k is the factor of proportionality. The value of k must be constant for every ordered pair (x,y). If only one of them does not have the very same k, then the relationship is not direct.
The value of k can be solved from the equation:
Let's substitute the given points in the table:
<em>(2,8)</em>
k = 4
<em>(4,16)</em>
k = 4
<em>(6,30)</em>
k = 5
Since the value of k is not constant, then x and y are not in direct variation.
