Similar shapes may or may not be congruent.
The value of x is (a) 9.0
The corresponding sides are:
- AB and DE
- BC and EF
- AC and DF
The side lengths are:
![\mathbf{DE = 41}](https://tex.z-dn.net/?f=%5Cmathbf%7BDE%20%3D%2041%7D)
![\mathbf{EF = 23}](https://tex.z-dn.net/?f=%5Cmathbf%7BEF%20%3D%2023%7D)
![\mathbf{DF = 36}](https://tex.z-dn.net/?f=%5Cmathbf%7BDF%20%3D%2036%7D)
![\mathbf{AC = 5x - 9}](https://tex.z-dn.net/?f=%5Cmathbf%7BAC%20%3D%205x%20-%209%7D)
Because the shapes are congruent, and AC corresponds to DF.
This means that:
![\mathbf{AC = DF}](https://tex.z-dn.net/?f=%5Cmathbf%7BAC%20%3D%20DF%7D)
So, we have:
![\mathbf{5x - 9 = 36}](https://tex.z-dn.net/?f=%5Cmathbf%7B5x%20-%209%20%3D%2036%7D)
Collect like terms
![\mathbf{5x = 9 + 36}](https://tex.z-dn.net/?f=%5Cmathbf%7B5x%20%3D%209%20%2B%2036%7D)
![\mathbf{5x = 45}](https://tex.z-dn.net/?f=%5Cmathbf%7B5x%20%3D%2045%7D)
Divide both sides by 5
![\mathbf{x = 9.0}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%20%3D%209.0%7D)
<em>Hence, the correct option is (a) 9.0</em>
Read more about congruent triangles at:
brainly.com/question/12413243
Answer:
Height is 1 1/24 unit.
Step-by-step explanation:
Given:
volume = 5/24 unit³
base area = 1/5 unit²
Rectangular prism:
volume = length * width * height
base area = length * width
Volume = base area * height
height = volume / base area
h = 5/24 ÷ 1/5
h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = 1 1/24 unit
(hope this helps can i plz have brainlist :D hehe)
The x-axis is the first phrase where 1 unit to the right of y-axis, meaning 1 unit to the right of 0, which means the x-axis is 1.
the y-axis is the second phrase where 7 units above x-axis, which means 7 uniys above 0, which means the y-axis is 7
i am not sure what ordered pair means though...so i will just give you x-axis and y-axis:
x-axis=1 y-axis=7
Answer:A 4.6
Step-by-step explanation: 40/8=5; 23/5=4.6
Answer:
Step-by-step explanation:
We are given that, "b" number of buildings has 300 windows.
Let b represent the number of buildings.
Let x represent the number of windows per building.
Thus, the following equation can be used to expressed the number of windows for b buildings:
Number of buildings*number of windows per building = 300 windows
![x*b = 300](https://tex.z-dn.net/?f=%20x%2Ab%20%3D%20300%20)
The number of windows each building has would be:
![\frac{x*b}{b} = \frac{300}{b}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%2Ab%7D%7Bb%7D%20%3D%20%5Cfrac%7B300%7D%7Bb%7D%20)
windows per building