Answer:
The correct order of the steps is CEABD ⇒ B
Step-by-step explanation:
Let us arrange the figures
To construct a bisector of an angle
First: Draw angle AOB
First step is figure C
Second: Place the pin of the compass on point O and draw an arc intersects the two sides of the angle OA and OB at points D and E
Second step is figure E
Third: Place the compass on point D and draw an arc in the interior of the angle
Third step is figure A
Fourth: without change the open of the compass place its pin on point E and draw an arc which intersects the arc drawn from point D at point C
Fourth step is figure B
Fifth: Draw a line from point A to point C, this line AC is the bisector of angle AOB
Fifth step is figure D
The correct order of the steps is CEABD
The total number of handshakes = 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 36
Answer: 36 handshakes
Answer:
x = 29 degrees
Step-by-step explanation:
We know that all of the angles inside of a right triangle add up to 180. We also know that a right angle is 90 degrees. We can do 61 + 90 = 151. 180 - 151 = 29. This means that x = 29 degrees.
Answer:
PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)
Step-by-step explanation:
<u>Given</u>: PG ≅ SG and PT ≅ ST
<u>To Prove</u>: ∠GPT ≅ ∠GST
<u>Proof</u>: PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).
<u>SSS Congruency Axiom</u>: If three pairs of sides of two triangles are equal in length, then the triangles are congruent.
<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Answer:
60
Step-by-step explanation:
K is the constant of proportionality or unit rate
(x, y)
(0, 0)
(2, 120)
(3, 180)
(4, 240)
120/2=60
180/2=60
240/2=60
The constant of proportionality or unit rate is 60
