Answer:
Step-by-step explanation:
Given:

To Prove:
AB║DE
Solution:
Since, corresponding sides of ΔACB and ΔDCE are proportional,

Both the triangles will be similar.
ΔACB ~ ΔDCE [By SAS property of similarity]
Therefore, ∠1 ≅ 2 [CPCTC]
Since, ∠1 and ∠2 are the corresponding angles
Therefore, AB║DE [Converse of corresponding angles theorem]
Answer:
5/42
Step-by-step explanation:
To solve this problem, you have to divide 7 and 5/6 to find the unit rate (how much hours it takes to do one task).
- Write what you know into a ratio
<u>7 tasks</u>
5/6 hour
2. You want to know how many hours one task takes, so make that a ratio as well.
<u>7 tasks </u> <u> 1 task</u>
5/6 hour ? hour
Ask yourself what do you do to the 7 in the numerator to get to one.
That's right! you divide by 7! And whatever you do to the numerator you do to the denominator (and vise-versa). Therefore if you divide the numerator(7) by 7 to get 1, you divide the denominator (5/6) by 7 as well.
5/6 divided by 7 is 5/42 meaning it takes the robot 5/42 hour to complete one task.
<u>1 task</u>
5/42 hour
Hey!!
here comes the answer >>>
Corresponding angles are the ones , which sum up to 180° the given question is angle C and angle F , H and A , D and E , B and G
C and F
H and A
D and E
B and G
Vertical angles = called as the vertical opposite angles , both these angles are the same!.
So the angles are ,
A and C
B and D
E and G
F and H
hope my answer helps!
Answer:
32
Step-by-step explanation:
Our total is x.
Maysa took half of the cherries, so there is .5x left.
Nabilla took half of the remaining, so that is .5*0.5x, which is .25x
Abdulla took 3.
Your equation is:
.25x-3=5
.25x=8
x=32
So there are 32 cherries
3x+x=y
3(-3)+(-3)=y
-9-3=y
-12=y
Therefore the value of x3+x is -12