Answer:
∠1 is 33°
∠2 is 57°
∠3 is 57°
∠4 is 33°
Step-by-step explanation:
First off, we already know that ∠2 is 57° because of alternate interior angles.
Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.
Then, you basically just do some other pain-in-the-butt things after.
Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.
Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.
57° + 90° = 147°
180° - 147° = 33°
∠1 is 33°
Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.
Answer:
The answer in the procedure
Step-by-step explanation:
Let
x ----> the dog walking hours
y ----> the car washing hours
we know that
The system of linear inequalities is equal to
-----> inequality A
-----> inequality B
Solve the system of inequalities by graphing
The solution is the shaded area
see the attached figure
Two possible combinations of hours are
(10,10) and (0,9)
<em>Verify</em>
For (10,10)
Substitute the value of x and the value of y in both inequalities
<em>Inequality A</em>
-----> is true
<em>Inequality B</em>
----> is true
therefore
(10,10) is a possible solution
For (0.9)
Substitute the value of x and the value of y in both inequalities
<em>Inequality A</em>
-----> is true
<em>Inequality B</em>
----> is true
therefore
(0,9) is a possible solution
Answer:
6.25 kilometers
Step-by-step explanation:
2.45km + 3.8km
= 6.25km
The thousand place
Of 6.589 is 0.009 because after the decimal it goes tenths hundredth then thousands
Rectangle A’B’C’D’ has a scale factor of 2 because it is two times bigger then the original rectangle ABCD after the dilation.
