The value of x and z are 15 and 4.5 respectively
<h3>Parallelogram and triangles</h3>
The triangles in the parallelogram are isosceles. This shows that the base angles are equal
From the given parallelogram, the following are true
3x = 45
x = 45/3
x = 15
Similarly;
10z = 45
z = 45/10
z = 4.5
Hence the value of x and z are 15 and 4.5 respectively
Learn more on parallelogram here: brainly.com/question/3050890
Answer:A
N=; 1% = 9.6; PV= -180; PMT 102.5; FV=0; P/Y=12, C/Y=12;PMT ;END
Answer:
![=536870912](https://tex.z-dn.net/?f=%3D536870912)
Step-by-step explanation:
![\frac{\left(2^3\right)^{10}\cdot \:2^{-8}}{2^{-7}}\\\mathrm{Cancel\:}\frac{\left(2^3\right)^{10}\cdot \:2^{-8}}{2^{-7}}:\quad \frac{\left(2^3\right)^{10}}{2}\\\frac{\left(2^3\right)^{10}\cdot \:2^{-8}}{2^{-7}}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}\\\frac{2^{-8}}{2^{-7}}=\frac{1}{2^{-7-\left(-8\right)}}\\=\frac{\left(2^3\right)^{10}}{2^{-7-\left(-8\right)}}\\\mathrm{Subtract\:the\:numbers:}\:-7-\left(-8\right)=\\=\frac{\left(2^3\right)^{10}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%282%5E3%5Cright%29%5E%7B10%7D%5Ccdot%20%5C%3A2%5E%7B-8%7D%7D%7B2%5E%7B-7%7D%7D%5C%5C%5Cmathrm%7BCancel%5C%3A%7D%5Cfrac%7B%5Cleft%282%5E3%5Cright%29%5E%7B10%7D%5Ccdot%20%5C%3A2%5E%7B-8%7D%7D%7B2%5E%7B-7%7D%7D%3A%5Cquad%20%5Cfrac%7B%5Cleft%282%5E3%5Cright%29%5E%7B10%7D%7D%7B2%7D%5C%5C%5Cfrac%7B%5Cleft%282%5E3%5Cright%29%5E%7B10%7D%5Ccdot%20%5C%3A2%5E%7B-8%7D%7D%7B2%5E%7B-7%7D%7D%5C%5C%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cfrac%7Bx%5Ea%7D%7Bx%5Eb%7D%3D%5Cfrac%7B1%7D%7Bx%5E%7Bb-a%7D%7D%5C%5C%5Cfrac%7B2%5E%7B-8%7D%7D%7B2%5E%7B-7%7D%7D%3D%5Cfrac%7B1%7D%7B2%5E%7B-7-%5Cleft%28-8%5Cright%29%7D%7D%5C%5C%3D%5Cfrac%7B%5Cleft%282%5E3%5Cright%29%5E%7B10%7D%7D%7B2%5E%7B-7-%5Cleft%28-8%5Cright%29%7D%7D%5C%5C%5Cmathrm%7BSubtract%5C%3Athe%5C%3Anumbers%3A%7D%5C%3A-7-%5Cleft%28-8%5Cright%29%3D%5C%5C%3D%5Cfrac%7B%5Cleft%282%5E3%5Cright%29%5E%7B10%7D%7D%7B2%7D)
![\mathrm{Simplify\:}\left(2^3\right)^{10}:\quad 2^{30}\\\left(2^3\right)^{10}\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}\\=2^{3\cdot \:10}\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:10=30\\=2^{30}\\=\frac{2^{30}}{2}\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=2^{29}\\2^{29}=536870912\\=536870912](https://tex.z-dn.net/?f=%5Cmathrm%7BSimplify%5C%3A%7D%5Cleft%282%5E3%5Cright%29%5E%7B10%7D%3A%5Cquad%202%5E%7B30%7D%5C%5C%5Cleft%282%5E3%5Cright%29%5E%7B10%7D%5C%5C%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cleft%28a%5Eb%5Cright%29%5Ec%3Da%5E%7Bbc%7D%5C%5C%3D2%5E%7B3%5Ccdot%20%5C%3A10%7D%5C%5C%5Cmathrm%7BMultiply%5C%3Athe%5C%3Anumbers%3A%7D%5C%3A3%5Ccdot%20%5C%3A10%3D30%5C%5C%3D2%5E%7B30%7D%5C%5C%3D%5Cfrac%7B2%5E%7B30%7D%7D%7B2%7D%5C%5C%5Cmathrm%7BCancel%5C%3Athe%5C%3Acommon%5C%3Afactor%3A%7D%5C%3A2%5C%5C%3D2%5E%7B29%7D%5C%5C2%5E%7B29%7D%3D536870912%5C%5C%3D536870912)
(21×15)9= 315×9= 2,835. Hope this helps i used a calculator.
The cost of 8 pounds of oranges based on the total cost of 5 pounds bought is 12.00
What is the cost for a pound of oranges?
The cost of a pound of oranges based on the rate at which 5 pounds were bought and 8 pounds would also be bought is determined as the amount paid for 5 pounds of oranges divided by the number of pounds of oranges bought
cost per pound of oranges=cost of 5 pounds/5 pounds
cost per pound of oranges=7.50/5
cost per pound of oranges=1.50
Based on the 1.50 per pound, the cost of 8 pounds is the cost per pound multiplied by 8 pounds
cost of 8 pounds of oranges=1.50*8pounds
cost of 8 pounds of oranges=12.00
Find out more about unit cost on:brainly.com/question/17430583
#SPJ1