Answer:
343
Step-by-step explanation:
I hope this helps ! Have a good day! <3 :)
Answer:
1. 30°
2. ![1:1:\sqrt{2}](https://tex.z-dn.net/?f=1%3A1%3A%5Csqrt%7B2%7D)
3. 20cm
4. 5cm
Step-by-step explanation:
for the first one:
we have the triangle RVT and we know that
![\angle V = 90\\\\\angle R = 60](https://tex.z-dn.net/?f=%5Cangle%20V%20%3D%2090%5C%5C%5C%5C%5Cangle%20R%20%3D%2060)
so
= 180
so
![\angle T = 30](https://tex.z-dn.net/?f=%5Cangle%20T%20%3D%2030)
for the second one
we know by specials right triangles that the sides are
![x:x:x\sqrt{2}](https://tex.z-dn.net/?f=x%3Ax%3Ax%5Csqrt%7B2%7D)
divide by x and get
![1:1:\sqrt{2}](https://tex.z-dn.net/?f=1%3A1%3A%5Csqrt%7B2%7D)
for the third one
again by 30-60-90 triangle we know that
![2BC=AB\\\\2(10)=AB\\\\AB=20](https://tex.z-dn.net/?f=2BC%3DAB%5C%5C%5C%5C2%2810%29%3DAB%5C%5C%5C%5CAB%3D20)
for the fourth one
here we can use excersie 3 and the ratio of XY:YC = 1:1
that means they are equal so
XY=YC
XY = 5
Ryan is travelling 245 miles/3.5 hours
so 245/3.5 is 70 mph
Janelle is travelling 260 miles/4 hours
so 260/4 is 65 mph
so for each hour, they become 135 miles closer
so 910/135 is
6.75 hours they will meet
8 2/3 :) This is what I got.