Answer/Step-by-step explanation:
The rhombus when split into two triangles will give us two equilateral triangles that are congruent to each other.
Therefore:
The two bases of both triangles will have equal angle measures of 4x + 5 each and a third angle measure of 8x - 6.
✅Formula to find the value of x:
(8x - 6) + 2(4x + 5) = 180° (sum of triangle)
8x - 6 + 8x + 10 = 180
8x + 8x - 6 + 10 = 180
16x + 4 = 180
16x + 4 - 4 = 180 - 4
16x = 176
16x/16 = 176/16
x = 11
Answer:
sas
Step-by-step explanation:
Answer:
(6 necklaces x $9 per necklace) - $14 spent on supplies = profit for Lola
or (6 x 9) - 14 = profit for Lola
The actual profit is $40.
Step-by-step explanation:
First, you need to calculate how much money Lola made from selling jewelry. She sold 6 necklaces, and each one was sold for $9, so you can calculate the total sale proceeds by multiplying 6 x $9 = $54.
However, you then have to subtract the cost of supplies that Lola had to buy to make the necklaces, in order to find out how much money Lola actually made. Therefore, subtract $14 from the calculation above.
Therefore the final expression is: (6 x 9) - 14 = profit
Make sure to take into account order of operations when solving the equation (it's important to multiply 6x9 before you subtract out the 14). The actual profit for Lola comes out to $40.
<h3>
Answer:</h3>
m = 4.00 kg
<h3>
General Formulas and Concepts:</h3>
<u>Math</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Physics</u>
<u>Newton's Law of Motions</u>
- Newton's 1st Law of Motion: An object at rest remains at rest and an object in motion stays in motion
- Newton's 2nd Law of Motion: F = ma (Force is equal to [constant] mass times acceleration)
- Newton's 3rd Law of Motion: For every action, there is an equal and opposite reaction<u>
</u>
<h3>
Step-by-step explanation:</h3>
<u>Step 1: Define</u>
[Given] F = 20.0 N
[Given] a = 5.0 m/s²
[Solve] Mass <em>m</em>
<em />
<u>Step 2: Solve for </u><em><u>m</u></em>
- Substitute in variables [Newton's 2nd Law of Motion]: 20.0 N = m(5.0 m/s²)
- [Division Property of Equality] Divide 5.0 on both sides: 4.00 kg = m
- Rewrite: m = 4.00 kg
Answer: 197/126
(2 decimal places) : 1.56
hope this helps
