Answer:
Step-by-step explanation:
The area of a rectangle is equal to 
, where 
is the length of the rectangle and 
is the width of the rectangle. In a rectangle, opposite sides are equal.
Therefore, we can write the following system of equations:
Expand the first equation:
Substitute the second equation into the first (
):
Solving for 
:
Answer:
D = 3 cm
Step-by-step explanation:
Given that,
The circumference of a circle is 9.45cm.
We need to find the length of the diameter.
The formula for the circumference of a circle is given by :
We know that, Diameter = 2r
So,
So, the length of diameter is equal to 3 cm.
Similar triangles may or may not have equal measures
Allie's error is that Allie did not state the similarity theorem
<h3>How to determine
Allie's error </h3>
The statement JKL ~ XYZ means that:
Triangles JKL and XYZ are similar triangles
From the complete question, we have the following highlights:
- Angles J and X have equal measures of 55 degrees
- The side lengths of triangle XYZ are 3 multiplied by the corresponding side lengths of triangle JKL
The above means that, both triangles are similar by SAS or SSS
In Allie's statement, the similarity theorem is not stated
Hence, Allie's error is that Allie did not state the similarity theorem
Read more about similar triangles at:
brainly.com/question/14285697
You’re not able to solve that
Answer:
2/7
Step-by-step explanation:
There are 22 (12 + 10) total students in the class. That means that the chance of the first student picked being a girl is 12/22.
Now, we must calculate the chance of the next student to be picked <em>also </em>being a girl - however, there is a trap here! Remember that since a girl has been picked, the total student pool has decreased to 21 and and the total number of girls has decreased to 11. This means the new chance of girl being picked is 11/21.
To find the probability of both these events happening in conjunction, these fractions must be multiplied. 12/22 * 11/21 = 132/462, which simplifies to 2/7.
