The peregrine falcon flies in the time it takes the eagle to fly 40 miles is 64 miles away.
The average speed is the total distance traveled by the object in a particular time interval.
The average speed is a scalar quantity.
The average speed of a golden eagle is 30 mph and the average speed of a peregrine falcon is 48 mph.
The time to fly 40 miles (that time is x):
miles hours
30 ⇒ 1
40 ⇒ x
We use the ruleof three which is to multiply the cross quantities on the table and divide by the remaining quantity:
x = 40(1)/30
x = 4/3 hour
it takes the eagle 4/3 flies to fly 40 miles.
Now we use the velocity of the falcon: 48mph, which can also be represented as:
miles hours
48 ⇒ 1
and we need the distance in miles that the falcon flies in 4/3 hours :
miles hours
48 ⇒ 1
x ⇒ 4/3
Again we use the rule of three (multiply cross quantities and divide by the remainingquantity)
x = (48)× (4/3)
x = 64 miles
Hence, the peregrine falcon flies in the time it takes the eagle to fly 40 miles is 64 miles away.
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Answer:
64
Step-by-step explanation:
64 miles
Answer:
7. 56
8. 117
Step-by-step explanation:
7.
Add the lengths of the sides. Each square on the grid has side 2 units.
9 + 4 + 4 + 8 + 11 + 3 + 2 + 15 = 56
8.
Find the lengths of the bases and the height of the trapezoid. Each square on the grid is 2 units.
Area of trapezoid = (1/2)(b1 + b2)h
area = (1/2)(15 + 11)(9) = 117
Answer:
D. SSS
Step-by-step explanation:
Was given to us that the corresponding sides are congruent so is SSS.
Side Side Side Theorem tells us that if am the sides of a triangle are having the same measurement with the corresponding sides of another triangle then the two triangles are congruent.
Answer:
Solution given:
f(x)=x²
g(x)=x+5
h(x)=4x-6
now
23:
(fog)(x)=f(g(x))=f(x+5)=(x+5)²=x²+10x+25
24:
(gof)(x)=g(f(x))=g(x²)=x²+5
25:
(foh)(x)=f(h(x))=f(4x-6)=(4x-6)²=16x²-48x+36
26:
(hof)(x)=h(f(x))=h(x²)=4x²-6
27;
(goh)(x)=g(h(x))=g(4x-6)=4x-6+5=4x-1
28:
(hog)(x)=h(g(x))=h(x+5)=4(x+5)-6=4x+20-6=4x-14
Answer:
the answer is 4x - 4
Step-by-step explanation:
a. Complete the congruence statement: △MNK ≅ △_______
b. What side is congruent to ≅ ______
c. Solve for x. _____
The given statements to be completed are completed as follows;
A) △MNK ≅ △RTP
B) TR ≅ NM
C) x = 7
We are given that;
△NMK ≅ △TRP
This means that Triangle NMK is congruent to Triangle TRP.
A) The naming of △NMK is now △MNK. Thus, we have to now re-name Triangle TRP to match the naming of △MNK. Thus;
△MNK ≅ △RTP
B) From the 2 given triangles, we can see that TR and NM are the same length and also perpendicular lines.
Thus they are congruent to each other and as such;
TR ≅ NM
C) Since TR and NM are congruent to each other. Then;
TR = NM
Thus;
3x - 1 = 20
3x = 20 + 1
3x = 21
x = 21/3
x = 7
Read more at; brainly.com/question/13547762
Answer:
A-△MNK ≅ △RTP
B- TR≅NM
C- X=7
Step-by-step explanation:
I did the assignment loves.
Answer:
UV = 15
BD= 31
Step-by-step explanation:
Since, U is the midpoint of TV.
Therefore,
TU = UV
x + 10 = 3x
x - 3x = - 10
-2x = - 10
x = - 10/-2
x = 5
UV = 3x = 3*5
UV = 15
BD = BC + CD
3x - 11 = x - 2 + 19
3x - 11 = x + 17
3x - x = 11 + 17
2x = 28
x = 28/2
x = 14
BD = 3x - 11 = 3*14-11 = 42 - 11
BD= 31
We used the relationship that BC + CD = BD and then solved for x, which we found to be 14. We then substituted 14 for x in the equation for BD, which gave us a result of 31.
In the given question, we have a piece of a line divided into different sections: BC, BD, and CD with their respective lengths. BD is represented through a variable equation. We know that BC + CD = BD, this is a fundamental property of geometry that the sum of the lengths of two consecutive sections of a line is equal to the total length. So, substitute the given values:
x − 2 + 19 = 3x − 11
Simplify the equation by combining like terms: x + 17 = 3x - 11. Now, let's solve for x:
First, consolidate x's on one side by subtracting 'x' on both sides. We get 17 = 2x - 11.
Next, add 11 on both sides to solve for x. We get, 28 = 2x.
Finally, divide by 2 on both sides to find x, x = 14.
Now, we can find BD by substituting x into the equation 3x - 11, we get:
BD = 3*14 - 11 = 42 - 11 = 31.
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