The polygons are similar.
This is because dividing the corresponding sides forms the same ratio, as shown by the three equations below
35/28 = 1.25
25/20 = 1.25
(15.5)/(12.4) = 1.25
So the larger figure on the right has side lengths that are 1.25 times larger compared to the corresponding sides of the figure on the left.
You'll need to flip the figure on the left so that the side labeled "20" is along the top, and the "28" is along the bottom.
After this flip happens, also note that the angle arc markings match up. The bottom pairs of angles of each figure are shown with a single arc, while the top angles are shown as double arcs. This helps visually show which angles pair up and are congruent to one another.
Because we have similar proportions as discussed earlier, and congruent pairs of angles like this, this shows the two figures are similar quadrilaterals. The one on the right is simply an enlarged scaled up copy of the figure on the left.
Answer:
The length of SO is 46 units
Step-by-step explanation:
<em>In a parallelogram, </em><em>diagonals bisect each other,</em><em> which means meet each other in their mid-point</em>
∵ SNOW is a parallelogram
∵ SO and NW are diagonals
∵ SO ∩ NW at point D
→ That means D is the mid-point of SO and NW
∴ D is the mid-point of SO and NW
∵ D is the mid-point of SO
→ That means D divide SO into two equal parts SD and DO
∴ SD = DO
∵ SD = 9x + 5
∵ DO = 13x - 3
→ Equate them
∴ 13x - 3 = 9x + 5
→ Subtract 9x from both sides
∵ 13x - 9x - 3 = 9x - 9x + 5
∴ 4x - 3 = 5
→ Add 3 to both sides
∵ 4x - 3 + 3 = 5 + 3
∴ 4x = 8
→ Divide both sides by 4
∴ x = 2
→ To find the length of SO substitute the value os x in SD and DO
∵ SO = SD + DO
∵ SD = 9(2) + 5 = 18 + 5 = 23
∵ DO = 13(2) - 3 = 26 - 3 = 23
∴ SO = 23 + 23 = 46
∴ The length of SO is 46 units
Answer:
64 inches or 64 pulgadas
Step-by-step explanation:
The formula for the perimeter of a rhombus is given as:
P = 4a
Where a = side length of the rhombus
From the above question, side length of the rhombus = 16 inches
Hence, Perimeter of the rhombus = 4 × 16 inches
= 64 inches
La fórmula para el perímetro de un rombo se da como:
P = 4a
Donde a = longitud del lado del rombo
De la pregunta anterior, la longitud del lado del rombo = 16 pulgadas
Por lo tanto, perímetro del rombo = 4 × 16 pulgadas
= 64 pulgadas
Speed = Distance / Time, therefore, Speed = 827km / 10.55 hrs. I got 10.55 hours because I converted the 33 minutes into hours and got 0.55 and added it to the 10 hours which is given. so the answer would be approx. 78.39 km / h. I rounded it to the nearest 2 decimal places.
It would be -26
Its very easy But you will get better =)
