Answer:
D
Step-by-step explanation:
It seems to be A but it's not A because the ratio of their corresponding sides is 1:2
Rest of the working in the attached file
Answer:
Slope is 1.5
Step-by-step explanation:
When one line has a slope of M, a perendicular line has a slope of -1/M
in this case M = -2/3, so you put it into -1/(-2/3) which equals to 1.5
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (5, -6)
Point (-3, 12)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance<em> d</em>
- Substitute in points [Distance Formula]:

- [√Radical] (Parenthesis) Subtract/Add:

- [√Radical] Evaluate Exponents:

- [√Radical] Add:

- [√Radical] Simplify:

Answer:
The number of chocolate made donuts is 40 more than cream filed donuts
Step-by-step explanation:
Given as :
The number of chocolate donuts made = 48
The number of chocolate donuts is 6 times the number of cream filled donuts
So, Let the number of cream filled donuts = x
So, number of chocolate donuts made =
∴
= 48
Or, x =
= 8
So, the number of cream filled donuts = 8
Now ,
The number of chocolate donuts made - the number of cream filled donuts = 48 - 8 = 40
So , The number of chocolate made donuts is 40 more than cream filed donuts Answer
Answer: Choice A
7(10+9) = 70 + 63
============================
Explanation:
when we multiply 7 by 19, we start off multiplying just 7*9 = 63 so just focus on the units or ones digit of 19 to have it multiply with 7. We have 63 as the result so we write down "3" as part of the answer, and carry the 6.
Then you move onto the tens digit. The tens digit of 19 is 1. Multiply 1 by 7 and we get 7, which adds on to the carry digit 6 to get 7+6 = 13. Therefore we'll stick a 13 in front of the 3 we got earlier to end up with the final answer 133
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Using the distribution rule is much easier in my opinion
19 = 10+9
7*19 = 7*(10+9)
7*19 = 70+63
7*19 = 133
The idea is to multiply the outer 7 by each term inside the parenthesis
7*(10+9) = 7*10 + 7*9 = 70 + 63
So we multiplied the 7 by the 10 first to get 7*10 = 70
Then did the same for the 9 term as well 7*9 = 63
After those two multiplications, we add the results up: 70+63 = 133