Answer:
Step 1,2 and 4 are correct.
Step-by-step explanation:
We have been given an equation:

We need to analyze Lorena's steps
Step 1 is correct that is she correctly distributed –3 to the parentheses.
Therefore, she got 5k-6k+2-9=0
Step 2 is correct that is she combined like terms 5k and 2k
Therefore, she got -k-7=0
Step 3 is not correct that is she did not use the multiplication property of equality.
Step 4 is correct that is she should have multiplied both sides by -1 to isolate the variable. so, to get k= -7.
The tangent ratio is a tool used with right triangles that allows one to find the length of the sides of a triangle given the degree of its angles. It can also be used to find the degrees of its angle given the length of two of its sides
Answer:
Step-by-step explanation:
In ΔABC & ΔDCE
DE // AB Given
∠CDE ≅ ∠CAB Corresponding angles are congruent
∠CED ≅ ∠CBA Corresponding angles are congruent
ΔABC ~ Δ DEC AAA similarity
Answer: 24 miles.
Step-by-step explanation:
1. You must keep on mind that, according the scale on the map, 1.5 inches represents 4 miles. Then, you can set up the following ratio:

Where x is the number of actual miles asked
2. You must solve for x, as following:

3. Therefore, 6 inches on the map represents 24 miles.
Answer:
C. twenty one billion, four hundred seventy three million, eight hundred sixty two thousand, and ninety five
Step-by-step explanation:
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