Answer: ![93,\ 34^{\circ}](https://tex.z-dn.net/?f=93%2C%5C%2034%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Given
For figure (i) both triangles are congruent
![\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15](https://tex.z-dn.net/?f=%5Ctherefore%208x-27%3D4x%2B33%5C%5C%5CRightarrow%208x-4x%3D33%2B27%5C%5C%5CRightarrow%204x%3D60%5C%5C%5CRightarrow%20x%3D15)
![\Rightarrow PQ=8x-27\\\Rightarrow PQ=93](https://tex.z-dn.net/?f=%5CRightarrow%20PQ%3D8x-27%5C%5C%5CRightarrow%20PQ%3D93)
For figure (ii)
Two triangles WXZ and WZY are congruent
![\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}](https://tex.z-dn.net/?f=%5Ctherefore%209x-28%3D5x-8%5C%5C%5CRightarrow%204x%3D20%5C%5C%5CRightarrow%20x%3D5%5E%7B%5Ccirc%7D%5C%5C%5CRightarrow%20%5Cangle%20YWX%3D2%289x-28%29%5C%5C%5CRightarrow%20%5Cangle%20YWX%3D2%2817%29%5C%5C%5CRightarrow%20%5Cangle%20YWX%3D34%5E%7B%5Ccirc%7D)
Answer:
B
Step-by-step explanation:
they want us to find the equation in slope intercept form
which is y= mx + b
where m = slope and b = y intercept
the slope is change in y over change in x
as y goes up 1 x goes up 1 so the slope is 1 or m=1
the y intercept is at point (0,1)
so the y intercept is 1
now we add it all together and get that the equation Is
y=x+1
Answer:
<u>3</u> * <u>3</u>
4 1
Step-by-step explanation:
To convert division problems with fraction into multiplication problems use the KCF rule
- Keep the 1st Fraction the same
- Change the division sign to a multiplication sign
- Flip the fraction (reciprocal)
Answer:
as shown in the attached file
Step-by-step explanation:
The detailed steps and application of differential equation, the use of integrating factor to generate the solution and to solve for the initial value problem is as shown in the attached file.
-4x is the coefficient, 7 is the constant and x is the variable