Complete question :
Bernie and Chloe hiked the Tremont Trail to the end and back. Then they hiked the Wildflower trail to the end before stopping to eat lunch. Before Ricardo ate his lunch, he hiked 2 2/3 times as far as Bernie and Chloe. How far did he hike?
Required diagram is attached below
Answer:
25 miles
Step-by-step explanation:
Tremont Trail = 3 1/2 miles
Wildflower trail = 2 3/8 miles
Distance covered ; Tremont Trail and back : (3 1/2 * 2). = 7/2 * 2 = 14 /2 = 7 miles
Total distance covered by Bernie and Chloe before stopping for lunch /
(7 miles + 2 3/8 Miles) = 9 3/8 miles = 75/8 miles
Ricardo's distance = 2 2/3 * Bernie and Chloe's total distance
Ricardo's distance = 8/3 * 75/8 = 600 /24 = 25 miles
Answer:
- TU = UV = VW = WT = 8
- WX = UX = 5
- XV = XT = √39
Step-by-step explanation:
At first we should know the following about the rhombus
1) All sides are congruent
2) The diagonals are perpendicular and bisects each other.
Given UV = 8 and WX = 5
So, according to (1)
TU = UV = VW = WT = 8
And according to (2)
WX = UX = 5
And ΔWXV is a right triangle at ∠x
So, XV² = WV² - WX² = 8² - 5² = 64 - 25 = 39
∴XV = √39
So, XV = XT = √39
So, the missing measure of a rhombus are as following:
- TU = UV = VW = WT = 8
- WX = UX = 5
- XV = XT = √39
If it was in standard notation it would be very confusing to add the number of cells and it would be less organized.
So, Cot is negative in second and fourth quadrant.
So, tan(x+
)=-cot(x)
Option B
(-3/4m) -(1/2)=2+(1/4m)
-(1/2)=2+m
m= -3/2
