Answer:
A. p = q
Step-by-step explanation:
For each triangle, add the angles together and then subtract the sum from 180°.
First triangle:
60° + 50° = 110°
180° - 110° = 70°
Missing angle = 70°
Second triangle:
80° + 30° = 110°
180° - 110° = 70°
Missing angle = 70°
Hope this helps :)
Answer:
Step-by-step explanation:
N is 3 bc #of terms minus 1
Exponents go from 3>2>x>none
Can be factored using binomial theorem
<u>coordinates of the point are (2,6) and (3,4)</u>
Answer:
Solution given:
let the given point be A(1,8) and B(4,2).
P and Q are the two points on AB such that
AP=PQ=QB=k
now
comparing AP and PB
AP=k
PB=2k
ratio of AP and PB =
= ratio 1:2
now
finding p
for this
![(m_1,m_2)=(1,2)](https://tex.z-dn.net/?f=%28m_1%2Cm_2%29%3D%281%2C2%29)
For AB
![(x_1,y_1)=(1,8)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%281%2C8%29)
![(x_2,y_2)=(4,2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%284%2C2%29)
now by using division formula
![(x,y)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28%5Cfrac%7Bm_1x_2%2Bm_2x_1%7D%7Bm_1%2Bm2%7D%2C%5Cfrac%7Bm_1y_2%2Bm_2y_1%7D%7Bm_1%2Bm2%7D%29)
![=(\frac{1*4+2*1}{1+2},\frac{1*2+2*8}{1+2})=(2,6)](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B1%2A4%2B2%2A1%7D%7B1%2B2%7D%2C%5Cfrac%7B1%2A2%2B2%2A8%7D%7B1%2B2%7D%29%3D%282%2C6%29)
similarly
Q divides AB
Ratio of AQ and QB =
= ratio 2:1
![(x_1,y_1)=(1,8)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%281%2C8%29)
![(x_2,y_2)=(4,2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%284%2C2%29)
![(m_1,m_2)=(2,1)](https://tex.z-dn.net/?f=%28m_1%2Cm_2%29%3D%282%2C1%29)
by using division formula
![(a,b)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})](https://tex.z-dn.net/?f=%28a%2Cb%29%3D%28%5Cfrac%7Bm_1x_2%2Bm_2x_1%7D%7Bm_1%2Bm2%7D%2C%5Cfrac%7Bm_1y_2%2Bm_2y_1%7D%7Bm_1%2Bm2%7D%29)
![=(\frac{2*4+1*1}{2+1},\frac{2*2+1*8}{2+1})=(3,4)](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B2%2A4%2B1%2A1%7D%7B2%2B1%7D%2C%5Cfrac%7B2%2A2%2B1%2A8%7D%7B2%2B1%7D%29%3D%283%2C4%29)
Answer:
$ 10.69
Step-by-step explanation:
225 is 2.25 times the 100 pencils. ( 225/100) So all you have to do is multiply 2.25 the price ($4.75) and you get 10.6875, money can only go to the tenth place so you round it to $10.69
<em>Hope this helped and pls mark as brainliest!</em>
<em />
<em>~Luna</em>
Answer:
12/1 times 1/8 = 1.5
Step-by-step explanation:
You multiply 12 by 1 to get 12, then divide 12 by 8 to get 1.5