Answer:
(below)
Step-by-step explanation:
c) the angles are in the interior on the same side of the transversal, making them supplementary
equation: 2x + 20 + 120=180 and then when solved you would get x =20
d) the angles are corresponding, which makes them congruent
equation: 3x + 10 = 100 and then when solved you would get x = 30
No because x3•x3•x3= 27x³ and x3•3•3=27x
Answer:
41 1/4
Step-by-step explanation:
Change 16 1/2 to a mixed number
16 1/2 = (2*16+1)/2 = 33/2
Change 2 1/2 to a mixed number = (2*2+1)/2 = 5/2
Multiply the turns per inch by the inches
33/2 * 5/2 =165/4
Change this back to a mixed number
4 goes into 165 41 times
41*4 = 164 there is 1 left over
41 1/4
When you move a number to the opposite side of the equation, in this occasion it will be 23- it changes to the opposite value. So us 23 is a positive value you can move it and change it to a negative. Or in other words suntract -23 from all sides of the equation, which will be equal to:
y = 59 - 23
Y = 36
Let's start by assuming Armando's house is between Joey's and the park.
Let

be the distance Joey walked to Armando's house.
<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.
</span>


That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)
Let

be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

Let's get rid of the plus/minuses. Squaring,



For us, that's a quadratic equation for


I'll skip right to the solutions,


We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.