<span>-34-r=-7(8r-3)
- 34 - r = - 56r + 21
- r + 56r = 21 + 34
55r = 55
r = 55/55
r = 1</span>
Answer:
Actual correct answer (I checked because the first answer was wrong)
Step-by-step explanation:
x product of powers
quotient of powers
power of a power
x power of a product
negative exponent
x zero exponent
I got this right the second time.
Answer:
question 8 is 178cmcubed I think
Check the picture below.
so the <u>triangular prism</u> is really 3 rectangles and two triangles stacked up to each other at the edges, so if we simply get the area of each figure individually and sum them up, that's the area of the prism.
let's notice, the triangles have a base of 2.4 and a height/altitude of 1.
![\bf \stackrel{\textit{2 triangles's area}}{2\left[ \cfrac{1}{2}(2.4)(1) \right]}~~+~~\stackrel{\textit{right rectangle}}{(2\cdot 1.5)}~~+~~\stackrel{\textit{left rectangle}}{(2\cdot 1.7)}~~+~~\stackrel{\textit{bottom rectangle}}{(2\cdot 2.4)} \\\\\\ 2.4+3+3.4+4.8\implies 5.4+8.2\implies 13.6](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7B2%20triangles%27s%20area%7D%7D%7B2%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%282.4%29%281%29%20%5Cright%5D%7D~~%2B~~%5Cstackrel%7B%5Ctextit%7Bright%20rectangle%7D%7D%7B%282%5Ccdot%201.5%29%7D~~%2B~~%5Cstackrel%7B%5Ctextit%7Bleft%20rectangle%7D%7D%7B%282%5Ccdot%201.7%29%7D~~%2B~~%5Cstackrel%7B%5Ctextit%7Bbottom%20rectangle%7D%7D%7B%282%5Ccdot%202.4%29%7D%20%5C%5C%5C%5C%5C%5C%202.4%2B3%2B3.4%2B4.8%5Cimplies%205.4%2B8.2%5Cimplies%2013.6)
Two parallel lines A and B are crossed by another
line as shown in the attached figure. Angle 2 and 3 are equal, because they are
opposite angles, while angle 3 and 7 are also equal, because they are
corresponding angles, thus it is deduced that
angle 2 = angle 3
angle 3 = angle 7
So angle 2 = angle 7
<span>Hence fourth option is right.</span>