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:
288
Step-by-step explanation:
2/x = 576
you have to make the x by itself so you would have to multiply 1/2 to 2/x for the first part
then you would carry the 1/2 over to 576 and multiply that by 1/2
the answer would become x = 288
Answer:
The wide of river is ![50\ ft](https://tex.z-dn.net/?f=50%5C%20ft)
Step-by-step explanation:
In this problem we know that
Triangles DEG and DEF are congruent by ASA (Angle-Side-Angle) Congruence
therefore
EG=EF
![EG=20*(2\frac{1}{2})=20*\frac{5}{2}=50\ ft](https://tex.z-dn.net/?f=EG%3D20%2A%282%5Cfrac%7B1%7D%7B2%7D%29%3D20%2A%5Cfrac%7B5%7D%7B2%7D%3D50%5C%20ft)
Answer:
Each cost 2.50$
Step-by-step explanation:
6.75+5.95=12.7
17.40-12.7=5
5÷2= 2.5
Each cost 2.50$