If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.
Explanation:
- The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.
- To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor =
= 
= 0.2777. - So the red image is dilated by a scale factor of 0.2777 to produce the blue image.
Step-by-step explanation:
x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰
x = 60⁰...
Answer:
x>20
Step-by-step explanation:
subtract 5 from both sides
Answer:
1-
P(X=1) = 1/36
P(X=2) = 3/36 = 1/12
P(X=3) = 5/36
P(X=4) = 7/36
P(X=5) = 9/36 = ¼
P(X=6) = 11/36
2-
7/36
Step-by-step explanation:
1-
Attached, you will find a table with the possible values of X.
(See table attached)
As we can see, there are 36 entries so,
<em>P(X=1) = 1/36
</em>
<em>
</em>
<em>P(X=2) = 3/36 = 1/12
</em>
<em>
</em>
<em>P(X=3) = 5/36
</em>
<em>
</em>
<em>P(X=4) = 7/36
</em>
<em>
</em>
<em>P(X=5) = 9/36 = ¼
</em>
<em>
</em>
<em>P(X=6) = 11/36
</em>
2-
It can be noticed that the only possible value of X which is divisible by 4 is 4 and there are 7 entries in the table, so
P(X divisible by 4) = P(X=4) = 7/36
Answer:
D. ∆XVW ≅ ∆XBC
Step-by-step explanation:
Angle X = Angle X (vertical angles are congruent)
Angle V = angle B (corresponding angles are congruent)
Angle W = angle C (corresponding angles are congruent)
The three angels in ∆XVW are congruent to the three corresponding angles in ∆XBC.
Therefore, the statement that indicates both triangles are congruent is:
∆XVW ≅ ∆XBC
