Answer:
(3,3), (3,6), (9,6)
Step-by-step explanation:
A triangle ABC has vertices at A(1, 1), B(1, 2), and C(3, 2).
The dilation by a scale factor of 3 within the origin as the center of dilation has the rule

Hence,
See attached diagram for details.
Answer: 12√6
Step-by-step explanation:
Given the expression;
2√3 * 3√√8
= (2*3) * (√3*√8)
= 6 * (√24)
= 6 * √4*6
= 6 * (2√6)
= (6*2)√6
= 12√6
Therefore, the simplified form of the expression is 12√6.
Answer:
The measure of angle 1 is 115°
Step-by-step explanation:
we know that
If ∠1 and ∠2 are a linear pair
then
∠1 +∠2 =180° -----> supplementary angles
If ∠2 and ∠3 are vertical angles
then
∠2 =∠3
step 1
Find the value of y
we know that
∠2 =∠3
substitute values
(5+4y)°=(6y-25)°
6y-4y=(5+25)°
2y=(30)°
y=15°
step 2
Find the measure of angle 2
∠2=(5+4y)°
substitute the value of y
∠2=(5+4(15))°
∠2=65°
step 3
Find the measure of angle 1
we know that
∠1 +∠2 =180°
we have
∠2=65°
substitute
∠1 +65°=180°
∠1 =180°-65°=115°
Answer:
The distance between ring and coin is 13 units apart.
Step-by-step explanation:

Using this formula, you are able to find the distance between the ring and the old coin :
Let (x1,y1) be (10,19),
Let (x2,y2) be (5,7),
D = √(10-5)²+(19-7)²
= √5²+12²
= √25+144
= √169
= 13 units