Answer:
x=15
Converse: If line x and y are parallel then angles on the same line are supplementary angles.
Step-by-step explanation:
<em><u>Converse:</u></em>
Let's start with the converse, so if line x and y are parallel then angles on the same line are supplementary angles. I'm not sure if that's the converse your teacher wants but my teacher taught me this.
<em><u>Finding x:</u></em>
Now we know that the angles are supplementary angles, that means if w add them together we get 180°. So our equation will be 
. Now we just solve it. We start by combining like terms, then adding the 15 to both sides, and lastly we divide the 13 to both sides and get...
x=15
Answer:
The given expression simplified is <em>48x + 64.</em>
Step-by-step explanation:
Solving this problem entails of simplifying the expression provided. We'll use the distributive law, or the distributive property, to write the expression in the simplest form.
Distributive law states:
- a(b + c) ⟶ (a × b) + (a × c)
We know that...
Following the rules of distributive law, we can set up the expression to match this property.
a(b + c) ⟶ 4(12x + 16) ⟶ (4 × 12x) + (4 × 16)
The expression will now be easier to simplify. Here, the last step would be to multiply the terms within the parentheses. Remember that we <u>cannot</u> multiply a number by a variable. When you multiply '4' by '12x', just multiply twelve and four, and leave the variable as is.
(4 × 12x) + (4 × 16)
48x + (4 × 16)
48x + 64
Think back on what I mentioned earlier about not being able to multiply a number by a variable. The same rule applies to adding two terms, in which one is a constant and the other consists of a coefficient <u>and variable</u>. Our simplified expression has '48x', which is a coefficient and variable, and '64', which is a constant. This means we cannot add these two terms together.
Our expression seems to be in the simplest form because no further actions can be taken. The correct answer should be <em>48x + 64.</em>
We can see that the y-intercept (the value of y when x=0) is -1 by looking at the table.
Now we just need the slope, or "m" of the linear equation.
m=(y2-y1)/(x2-x1) in this case:
m=(-2--1)/(1-0)
m=-1/1
m=-1
Now that we know m and b of y=mx+b we can say the line is:
y=-x-1
So this is a linear equation, y=-x-1
Answer:
Step-by-step explanation:
1. Cut six desired measures of string to properly wrap and tied around each end of the three sticks
2. Once fastened, bring two of the sticks together making one the bottom (base) and the other a side (angle).
3.Cut a tiny piece of rope to interlock with the rope you already have tied on the ends.
4.Tie the ends together with the new cut of string and make your desired angle as you tighten it.
5. Mirror Step 4 for the other end of the bottom stick (base), while most importantly mirroring the desired angle of step 4.
This should give you a proper equilateral triangle made out of sticks and string or anything of these two materials.
