Answer:
- Option <u>B </u>is correct i.e. <u>2</u><u>1</u>
Step-by-step explanation:
In the question we're provided with an equation that is :
And we are asked to find the solution for the equation .
<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>
<u>
</u>
Multiplying by 7 on both sides :
![\longrightarrow \: \frac{v}{ \cancel{7} }\times \cancel{7} = 3 \times 7](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20%5Cfrac%7Bv%7D%7B%20%5Ccancel%7B7%7D%20%7D%5Ctimes%20%20%5Ccancel%7B7%7D%20%20%3D%203%20%5Ctimes%207)
On further calculations , we get :
![\longrightarrow \: \blue{\boxed{v = 21}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20%20%5Cblue%7B%5Cboxed%7Bv%20%3D%2021%7D%7D)
- <u>Therefore</u><u> </u><u>,</u><u> </u><u>solution</u><u> </u><u>for</u><u> equation</u><u> </u><u>is </u><u>2</u><u>1</u><u> </u><u>.</u><u>That </u><u>means</u><u> </u><u>option </u><u>B </u><u>is </u><u>the </u><u>correct</u><u> answer</u><u>.</u>
<u>Verifying</u><u> </u><u>:</u>
We are verifying our answer by substituting value of v in the equation given in question :
![\longrightarrow \: \frac{v}{7} = 3](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20%5Cfrac%7Bv%7D%7B7%7D%20%20%3D%203)
Putting value of v :
![\longrightarrow \: \cancel{\frac{21}{7}} = 3](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20%20%5Ccancel%7B%5Cfrac%7B21%7D%7B7%7D%7D%20%20%3D%203)
By dividing 21 with 7 , we get :
![\longrightarrow \:3 = 3](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A3%20%3D%203)
![\longrightarrow \: L.H.S=R.H.S](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20L.H.S%3DR.H.S)
![\longrightarrow \: Hence , \: Verified.](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20Hence%20%2C%20%5C%3A%20Verified.)
- <u>Therefore</u><u> </u><u>,</u><u> </u><u>our </u><u>answer</u><u> is</u><u> valid</u><u> </u><u>.</u>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
You basically just take 3^2 and 2^2 to get 9/4
9/4 is the answer
Answer:
<h2>
![\frac{133}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B133%7D%7B8%7D%20)
</h2>
Step-by-step explanation:
Given,
![{( \frac{5}{2} )}^{x} + {( \frac{5}{2} )}^{x + 3}](https://tex.z-dn.net/?f=%20%7B%28%20%5Cfrac%7B5%7D%7B2%7D%20%29%7D%5E%7Bx%7D%20%20%2B%20%20%7B%28%20%5Cfrac%7B5%7D%7B2%7D%20%29%7D%5E%7Bx%20%2B%203%7D%20)
![= {( \frac{5}{2}) }^{x} + {( \frac{5}{2}) }^{x} \times {( \frac{5}{2} )}^{3}](https://tex.z-dn.net/?f=%20%3D%20%20%7B%28%20%5Cfrac%7B5%7D%7B2%7D%29%20%7D%5E%7Bx%7D%20%20%2B%20%20%7B%28%20%5Cfrac%7B5%7D%7B2%7D%29%20%7D%5E%7Bx%7D%20%20%5Ctimes%20%20%7B%28%20%5Cfrac%7B5%7D%7B2%7D%20%29%7D%5E%7B3%7D%20)
![= ( \frac{5}{2} ) ^{x} (1 + {( \frac{5}{2} )}^{3}](https://tex.z-dn.net/?f=%20%3D%20%28%20%5Cfrac%7B5%7D%7B2%7D%20%29%20%5E%7Bx%7D%20%281%20%2B%20%20%7B%28%20%5Cfrac%7B5%7D%7B2%7D%20%29%7D%5E%7B3%7D%20)
![= {( \frac{5}{2} )}^{x} (1 + \frac{125}{8} )](https://tex.z-dn.net/?f=%20%3D%20%20%7B%28%20%5Cfrac%7B5%7D%7B2%7D%20%29%7D%5E%7Bx%7D%20%281%20%2B%20%20%5Cfrac%7B125%7D%7B8%7D%20%29)
![= {( \frac{5}{2} )}^{x} ( \frac{1 \times 8 + 125}{8} )](https://tex.z-dn.net/?f=%20%3D%20%20%7B%28%20%5Cfrac%7B5%7D%7B2%7D%20%29%7D%5E%7Bx%7D%20%28%20%5Cfrac%7B1%20%5Ctimes%208%20%2B%20125%7D%7B8%7D%20%29)
![= {( \frac{5}{2}) }^{x} ( \frac{8 + 125}{8} )](https://tex.z-dn.net/?f=%20%3D%20%20%7B%28%20%5Cfrac%7B5%7D%7B2%7D%29%20%7D%5E%7Bx%7D%20%28%20%5Cfrac%7B8%20%2B%20125%7D%7B8%7D%20%29)
![{( \frac{5}{2} )}^{x} ( \frac{133}{8} )](https://tex.z-dn.net/?f=%20%7B%28%20%5Cfrac%7B5%7D%7B2%7D%20%29%7D%5E%7Bx%7D%20%28%20%5Cfrac%7B133%7D%7B8%7D%20%29)
Comparing with A • ![{( \frac{5}{2}) }^{x}](https://tex.z-dn.net/?f=%20%7B%28%20%5Cfrac%7B5%7D%7B2%7D%29%20%7D%5E%7Bx%7D%20)
A = ![\frac{133}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B133%7D%7B8%7D%20)
Hope this helps...
Good luck on your assignment...
Answer:
m<3 = 66°
Step-by-step explanation:
<3 is an angle with its vertex inside the circle shown in the diagram. This, it's an internal angle.
The measure of an internal angle is equal to half the sum of the measure of the arcs intercepted.
Thus, the equation that shows relationship between <3 and arc WX and arc YZ is shown below:
m<3 = ½(40 + 92)
m<3 = ½(132)
m<3 = 66°