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:
vertex = (- 7, - 87)
Step-by-step explanation:
given a parabola in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
p² + 14p - 38 is in standard form
with a = 1, b = 14, c = - 38, hence
= -
= -7
substitute x = - 7 into the equation for corresponding value of y
y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87
vertex = (- 7, - 87)
Answer:
Option B is correct.
Angle DAC is congruent to angle DAB
Step-by-step explanation:
Given: Segment AC is congruent to segment AB.
In ΔABD and ΔACD
[Given]
[Congruent sides have the same length]
AB = AC [Side]
AD = AD [Common side]
[Angle]
Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Then by SAS,

By CPCT [Corresponding Parts of congruent Triangles are congruent]
then;

therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB
Hello there!
5d = 17.1
The equation is asking you to find the value for "d". How to do that? Well, all you have to do is divide both side by 5.
5d/5 = 17.1
d = 3.42
That's your answer!
You can even double check your work, if you want to. How? Well, you just need to replace 3.42 where it belongs.
5(3.42) = 17.1
17.1 = 17.1
True!
Let me know if you have additional questions. As always, it is my pleasure to help students like you!
Answer:
Step-by-step explanation:
The answer is c.
Proportional means a relationship of y = a constant multiplied by x
In this case, the constant is 7.
i.e. y = 7x
So if
x is 3, y is 21
x is 5, y is 35
x is 7, y is 49
and so on...
And there you have it.