Answer:
4 hours
Step-by-step explanation:
Since we know he travels at a rate of 1:7.5 all we have to do is divide 7.5 by 30. Do you use proportions? You can set this up as a proportion and the find answer easily.
1
Now we cross product.
7.5 multipled by x =7.5x
1x30=30
so now we have
7.5x=30
Now we have to divide 7.5 on both sides which gives us
x=4
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
Answer:
okay
Step-by-step explanation:
The coordinates of the point that divides the segment into a 3:2 ratio is (-2.2, -1.2)
<h3>How to determine the coordinate?</h3>
The points are given as:
G = (-4,3)
H = (-1,-4)
Ratio, m : n = 3 : 2
The coordinate of the point is calculated using:
This gives
Evaluate
Evaluate the product
(x,y) = (-2.2, -1.2)
Hence, the coordinate of the point is (-2.2, -1.2)
Read more about line segment ratio at:
brainly.com/question/12959377
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You only need to multiply 3 by 20. The answer will be 60 ft ^3
