Answer:
AC = 21, AB = 19, and BC = 22
Step-by-step explanation:
If x is the length of AC, then:
AB = x − 2
BC = x + 1
The perimeter is the sum of all three sides:
62 = x + x − 2 + x + 1
62 = 3x − 1
63 = 3x
x = 21
Therefore:
AC = 21, AB = 19, and BC = 22
Answer:

Step-by-step explanation:

Answer:
Step-by-step explanation:
Given:

To Prove:
AB║DE
Solution:
Since, corresponding sides of ΔACB and ΔDCE are proportional,

Both the triangles will be similar.
ΔACB ~ ΔDCE [By SAS property of similarity]
Therefore, ∠1 ≅ 2 [CPCTC]
Since, ∠1 and ∠2 are the corresponding angles
Therefore, AB║DE [Converse of corresponding angles theorem]
3x-15=51
3x=36
X= 12
Thus the number is 12
Answer: 
Step-by-step explanation:
<h3>
The exercise is:</h3><h3>
"Dana loves rocks! She has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate. What is the ratio of pieces of sandstone to pieces of marble in Dana's collection?"</h3><h3>
</h3><h3>
</h3>
You can use ratio to compare values.
By definition, ratios can be written in the following form:

In this case, you know that the number of pieces of different rocks that Diana has in her collections, are:

Since you must compare the number of pieces of sandstone and the number of pieces of marble in Dana's collection, you need to write the following ratio:
