5,140 centimeters = decameters centimeters
1 answer:
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Answer:
The diagram for the question is missing, but I found an appropriate diagram fo the question:
Proof:
since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle
∠BCO = 45°
∠BOC = 45°
∠PCO = 45°
∠POC = 45°
∠DOP = 22.5°
∠PDO = 67.5°
∠ADO = 22.5°
∠AOD = 67.5°
Step-by-step explanation:
Given:
AB = CD = 297 mm
AD = BC = 210 mm
BCPO is a square
∴ BC = OP = CP = OB = 210mm
Solving for OC
OCB is a right anlgled triangle
using Pythagoras theorem
(Hypotenuse)² = Sum of square of the other two sides
(OC)² = (OB)² + (BC)²
(OC)² = 210² + 210²
(OC)² = 44100 + 44100
OC = √(88200
OC = 296.98 = 297
OC = 297mm
An isosceless tringle is a triangle that has two equal sides
Therefore for △OCD
CD = OC = 297mm; Hence, △OCD is an isosceless triangle.
The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles
Since BC = OB = 210mm
∠BCO = ∠BOC
since sum of angles in a triangle = 180°
∠BCO + ∠BOC + 90 = 180
(∠BCO + ∠BOC) = 180 - 90
(∠BCO + ∠BOC) = 90°
since ∠BCO = ∠BOC
∴ ∠BCO = ∠BOC = 90/2 = 45
∴ ∠BCO = 45°
∠BOC = 45°
∠PCO = 45°
∠POC = 45°
For ΔOPD
Note that DP = 297 - 210 = 87mm
∠PDO + ∠DOP + 90 = 180
∠PDO + 22.5 + 90 = 180
∠PDO = 180 - 90 - 22.5
∠PDO = 67.5°
∠ADO = 22.5° (alternate to ∠DOP)
∠AOD = 67.5° (Alternate to ∠PDO)
Option 3 is the correct answer. The missing values of (x, y) is (8, 20).
<h3>How do you find out the values?</h3>Given that the function is,
The function is a linear equation that can be solved graphically. The values of both variables x and y can be found on different points along with the straight-line graph.
Also, for every value of x, there is a corresponding value of y.
For the given options, we put the values of x to find the corresponding value of y.
For option 1, put x = 0 in the given function,
But for x=0, y= 18, hence option 1 is not correct.
For option 2, put x = 5 in the given function,
But for x=5, y= 19.5, hence option 2 is not correct.
For option 3, put x = 8 in the given function,
But for x=8, y= 20, hence option 3 is the correct answer.
Hence we can conclude that option 3 is the correct answer. The missing values of (x, y) is (8, 20).
To know more about the function, follow the link given below.
Answer:
C: A line travelling to the right with an open dot on p = -3.
Step-by-step explanation:
You use a closed dot when the equation is greater/less than or equal to:
It goes right because if it went left it would be p < -3.