The attached image is the rhombus in question.
To start, a rhombus will have perpendicular bisectors.
With that, we know that the section where these bisectors cross will create 90 degree angles.
So now we have angles: x, (x-10), and 90.
A triangle will total 180 degrees in total. So if we add up all of these angles, it will total to exactly 180.
In other words: 90+x+(x-10)=180.
So, in this situation, we want to isolate the variables, and find the value of x.
This is the easy part:
Here's that equation again
90+x+(x-10)=180
Subtract 90 from both sides
90-90+x+(x-10)=180-90
x+(x-10)=90
Add 10 to both sides
x+x-10+10=90+10
x+x=100
2x=100
Divide by 2 on both sides
2x/2=100/2
x=50
There's your x value.
Answer:
333/1000
Step-by-step explanation:
0.333 × 1000=333
333/1000
Answer:
28/4=7
Step-by-step explanation:
Divide 4 by 28 and you get 7
Answer:
81/70
Step-by-step explanation:
5/14+4/5=25/70+56/70=81/70
Answer:
c = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
24 = 6c
<u>Step 2: Solve for </u><em><u>c</u></em>
- Divide 6 on both sides: 4 = c
- Rewrite: c = 4
<u>Step 3: Check</u>
<em>Plug in c to verify it's a solution.</em>
- Substitute in <em>c</em>: 24 = 6(4)
- Multiply: 24 = 24
Here we see that 24 does indeed equal 24.
∴ c = 4 is a solution of the equation.