Answer:
The Value of x = 43.2
Step-by-step explanation:
<em>Explanation</em>:-
The conditions of similar two triangles
- same shape , but not necessarily the same size
- corresponding angles are equal
- corresponding sides are in the same ratio
![\frac{CD}{GF} =\frac{DE}{GE} = \frac{CE}{FE}](https://tex.z-dn.net/?f=%5Cfrac%7BCD%7D%7BGF%7D%20%3D%5Cfrac%7BDE%7D%7BGE%7D%20%3D%20%5Cfrac%7BCE%7D%7BFE%7D)
In ΔCDE ~ ΔFGE
Given diagram
ΔCDE ~ ΔFGE
corresponding sides are in the same ratio
![\frac{CD}{GF} =\frac{DE}{GE} = \frac{CE}{FE}](https://tex.z-dn.net/?f=%5Cfrac%7BCD%7D%7BGF%7D%20%3D%5Cfrac%7BDE%7D%7BGE%7D%20%3D%20%5Cfrac%7BCE%7D%7BFE%7D)
![\frac{25}{40} = \frac{27}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B40%7D%20%3D%20%5Cfrac%7B27%7D%7Bx%7D)
cross multiplication , we get
![25 x = 27 X 40](https://tex.z-dn.net/?f=25%20x%20%3D%2027%20X%2040)
25 x = 1080
![x = \frac{1080}{25} = 43.2](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1080%7D%7B25%7D%20%3D%2043.2)
<u><em>Final answer</em></u>:-
The value of x =43.2
First you divide 1200 by 25 (1200/25) it comes out to 48.
That means the he types at a rate of 48wpm. So then all you have to do is multiply 48 and 45 and you get 2160 words.
Answer:
y =
x
Step-by-step explanation:
The equation of a line passing through the origin (0, 0 ) is
y = mx ( where m is the slope )
m =
=
, thus
y =
x
Answer:
If she made <u>2</u> <em>1/2</em> batches of muffins and you had 2/3 of raisins per 1 batch then you'd have a total of 1 2/3 cups of raisins
Step-by-step explanation:
1 batch= 2/3 cups
<u>2 batches</u>=4/3 cups or 1 and 1/3 cups
<em>1/2 batch</em>= 1/2 of 2/3= 1/3 cups
2 batches+1/2 batches= 1 and 1/3 cups+1/3 cups
1 and 1/3 cups+1/3 cups= 1 and 2/3 cups of raisins