Answer:
CD = 25 ft
Step-by-step explanation:
![\triangle CDE \sim \triangle RST](https://tex.z-dn.net/?f=%20%5Ctriangle%20CDE%20%5Csim%20%5Ctriangle%20RST)
![\therefore \frac{CD}{20}=\frac{40}{32}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cfrac%7BCD%7D%7B20%7D%3D%5Cfrac%7B40%7D%7B32%7D)
(Corresponding sides of similar triangles are in proportion)
![\therefore \frac{CD}{20}=\frac{5}{4}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cfrac%7BCD%7D%7B20%7D%3D%5Cfrac%7B5%7D%7B4%7D)
![\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}}](https://tex.z-dn.net/?f=%5Ctherefore%20CD%20%3D%20%5Cfrac%7B5%7D%7B%5Ccancel%204%7D%5Ctimes%20%5Ccancel%20%7B20%7D%20%5C%3A%5C%3A%5Cblue%7B%5Cbold%7B5%7D%7D%20)
![\therefore CD = 5\times 5](https://tex.z-dn.net/?f=%5Ctherefore%20CD%20%3D%205%5Ctimes%205)
![\therefore CD = 25\: ft](https://tex.z-dn.net/?f=%5Ctherefore%20CD%20%3D%2025%5C%3A%20ft)
Answer:
Step-by-step explanation: Most urban designers incorporate a diagonal street cutting through the regular grid to create interesting spaces, squares, plazas, to provide relief and add character as can be seen at Manhattan Times Square created by Broadway cutting the grid at an angle.
Answer:
20°
Step-by-step explanation:
40°, 70° and 90° are the measures of the three angles of the quadrilateral.
Measure of fourth angle of the Quadrilateral
= 360° - (40° + 70° + 90°)
= 360° - 200°
= 160°
Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.
Thus,
![m\angle 1 = 180\degree- 160\degree](https://tex.z-dn.net/?f=m%5Cangle%201%20%3D%20180%5Cdegree-%20160%5Cdegree)
![\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}](https://tex.z-dn.net/?f=%5Cimplies%5Chuge%5Cpurple%7B%5Cboxed%7B%20m%5Cangle%201%20%3D%2020%5Cdegree%7D%7D)
Alternate method:
![m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]](https://tex.z-dn.net/?f=m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-%2840%5Cdegree%2B70%5Cdegree%2B90%5Cdegree%29%5D)
![\implies m\angle 1 = 180\degree- [360\degree-200\degree]](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-200%5Cdegree%5D)
![\implies m\angle 1 = 180\degree- 160\degree](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%20180%5Cdegree-%20160%5Cdegree)
![\implies m\angle 1 = 20\degree](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%2020%5Cdegree)
Answer:
95
Step-by-step explanation:
For example, let's say with have the equation
x
+
5
When
x
=
1
, then
x
+
5
=
6
When
x
=
2
then
x
+
5
=
7
Hope that was helpful.