Answer: ASA method must be applied to the given triangles to prove then congruent.
In two triangles, if two angles and their included side are congruent then the two triangles are said to be congruent .This method is known as Angle-Side -Angle postulate(ASA).
In the given triangles one side with their corresponding angles are equal. Therefore by ASA postulate they are congruent.
There we can see no other sides are given equal therefore all the other options cannot be applied.
you are lucky I had this test yesterday and I have the answer is ASA my math teacher said it was fine
Answer:
10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
2x³y³ + 3xy - 3x³y³ + x²y - xy + 2x²y
x = -1
y = 2
<u>Step 2: Evaluate</u>
- Substitute: 2(-1)³(2)³ + 3(-1)(2) - 3(-1)³(2)³ + (-1)²(2) - (-1)(2) + 2(-1)²(2)
- Exponents: 2(-1)(8) + 3(-1)(2) - 3(-1)(8) + 1(2) - (-1)(2) + 2(1)(2)
- Multiply: -16 - 6 + 24 + 2 - (-2) + 4
- Simplify: -16 - 6 + 24 + 2 + 2 + 4
- Subtract: -22 + 24 + 2 + 2 + 4
- Add: 2 + 2 + 2 + 4
- Add: 4 + 2 + 4
- Add: 6 + 4
- Add: 10
The volume of the box is 100 cubic meter.
Step-by step explanation:
Given data:
Length of the box = 10 m
Width of the box = 5 m
Height of the box = 2 m
<u>To find the volume of the box:</u>
Volume of the box = length × width × height
= 10 m × 5 m × 2 m
= 100 cubic meter
Hence the volume of the box is 100 cubic meter.
1. To solve this problem and find the value of BP, you must apply the "Intersecting chords theorem".
2. You have that:
AP=3.5 in
PC=6 in
DP=4 in
3. Then, by applying the "Intersecting chord theorem", you have:
(AP)(PC)=(BP)(DP)
4. When you substitute the values into (AP)(PC)=(BP)(DP), you obtain:
(3.5 in)(6 in)/BP(4 in)
5. Now, you must clear BP. Then:
(3.5 in)(6 in)/4 in=BP
21 in^2/4 in=BP
6. Therefore, the value of BP is:
BP=5.25 in
Answer:
- Karla is wrong, correct answer is 2 cups
Step-by-step explanation:
<u>8 oz = 1 cup</u>
<u>Find the answer using the ratio</u>
- 16 oz = 16*1/8 cup = 2 cups