Answer: {1 ,2 ,3 }
Step-by-step explanation:
We know that a sample space is a set of possible occurring oin an experiment.
Given : An die (six faces) has the number 1 painted on three of its faces, the number 2 painted on two of its faces, and the number 3 painted on one face.
We assume that each face is equally likely to come up.
When we toss a dice , then the possible occurring = 1 , 2, 3
Then, the sample space for this experiment will be {1 ,2 ,3 }
4.44 units for every unit
Answer:
The correct answer is option:
D) ΔABC and ΔA″B″C″ are congruent triangles.
Step-by-step explanation:
<u>Given</u>
- ΔABC is first rotated about the origin by 270° to form the triangle A′B′C′.
- is then translated upwards 10 units to form
<u>To find:</u> The true statement among the given options.
<u>Solution:</u>
Let the triangle be situated in 1st quadrant.
It is rotated about the origin by .
Now, it moves towards quadrant 2 if it is rotated clockwise. It is termed as
.
It is given that now it is translated 10 units upwards. i.e. 10 units added to x coordinate of each vertex to form .
Now, we can see that there is no change in the dimensions of the triangle. We are just changing the location of the triangle.
So, all its angles will be equal to each other and all the sides will be equal to each other.
i.e.
Hence, the correct option is:
D)ΔABC and ΔA″B″C″ are congruent triangles.
Answer:
y = 2x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 1, - 10) and (x₂, y₂ ) = (5, 2)
m = = = = 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, 2 ) , then
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = 2x - 8 ← equation of line
Answer:
B (1,1)
Step-by-step explanation:
x+2y<_4
(Assuming <_ means less than or equal to)
(1,1) = (x,y)
1 + 2(1)<_4
1+2<_4
3<_4 [TRUE]