Ashley and Christopher want to camp on the other side of a lake at point B. They are both going to kayak to the campsite from their homes. Ashley lives at point A and is kayaking from point A to point B. Christopher lives at point C and is kayaking from point C to point B. Based on the picture below, Ashley will kayak ___ miles more than Christopher. 0.5 mi, 1.5 mi, 2.5 mi, 3.0 mi. Please help!
Answers
Applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
Recall:
The midsegment of a triangle joins two sides of a triangle at their midpoint.The third side is the base of the triangle.Triangles have three midsegments.Based on the midsegment theorem, the length of the midsegment = ½(third side).The picture given shows a triangle with two midsegments: AB and BC
AB = the distance Ashley will kayak.
BC = the distance Christopher will kayak.
XY = 5 mi (base)
XZ = 6 mi (base)
Applying the midsegment theorem, find AB and BC.
AB = ½(XZ)
SubstituteAB = ½(6)
AB = 3 mi
BC = ½(XY)
SubstituteBC = ½(5)
BC = 2.5 mi
Thus, the distance Ashley will kayak more than Christopher = AB - BC
= 3 mi - 2.5 = 0.5 mi.
Therefore, applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
Learn more about the midsegment theorem on:
https://brainly.com/question/12234706
Related Questions
1/2 - (-1/3 + 2/5)
please help?
Answers
1/2-(-1/3+2/5)
= 1/2-(-0.33333333333333+2/5)
= 1/2-(-0.33333333333333+0.4)
= 1/2-(0.066666666666667)
= 1/2-0.066666666666667
= 0.5-0.066666666666667
= 0.43333333333333
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Step-by-step explanation:
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Answer:
y=68
Step-by-step explanation:
isolate the variable by adding 14 to both sides
54+14=y+14-14
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A recipe that serves 8 people requires 4 1/2 cups of flour. How many servings are in one recipe? Suppose you need to make enough to serve 24 people. How many batches of the recipe would you need to make?
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What is the value of the expression when h = 5? h + 7
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Answer:
12
Step-by-step explanation:
if h=5
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[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
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A line passes through the point -10,9 and has a slope of 1/2. Write an equation in slope-intercept form for this line
Answers
Answer:
Step-by-step explanation:
The slope intercept form of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
Since the slope is (1/2), we can write:
y = (1/2)x + b
We want a value of b such that it forces the line to go through point (-10,9). Enter that point in the equation and solve for b:
y = (1/2)x + b
9 = (1/2)*(-10) + b
9 = -5 + b
b = 14
The eqyuation of a line with a slope of (1/2) and goes through point (-10,9) is:
y = (1/2)x + 14
See attachment.
Can someone please help me with this and I’ll give you a lot of points
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Answer:
C
Step-by-step explanation:
Slope intercept form is Y = Mx + b
So the additional hour is being added on
Which is the better buy 31 once bottle of katchup for $2.53 Or a 64 once bottle for $5.05
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Answer:
64 once bottle for $5.05
the two-way table shows information about the subjects studied
Answers
Answer:
a) 62
b) 31/45
Step-by-step explanation:
a) The table tells you there are 42 males, and 20 more females that study biology.
42 +20 = 62 . . . are male or study biology or both
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b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...
62/90 = 31/45 = P(male or biology)
A moneylender’s income decreased by $60 When the rate of interest dropped from 8% per annum to 7 3/4 % per annum . What was his principal?
Answers
Answer:
$24,000
Step-by-step explanation:
The difference for principal amount P is ...
(8% × P) - (7 3/4% × P) = $60
0.0025P = $60
P = $24,000 . . . . . multiply by 400
His principal was $24,000.
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Answers
If each quadrilateral below is a square, find the missing measures
solve for X
Answers
Answer:
i think x = 18.5
Step-by-step explanation:
6x-21 = 90°
6x = 90+21
6x = 111
x = 111/6
x = 18.5
Please show work!!!!
10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?
Answers
Answer:
The length of the base of this parallelogram is 34.2
Step-by-step explanation:
To calculate the length, we work backward and calculate the base by doing area/height
We have 690.84/20.2 = 34.2
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What is the largest power of 2 that is a divisor of 13^4 - 11^4?
Answers
Answer:
[tex]2^5[/tex]
Step-by-step explanation:
Given:
[tex](13^4 - 11^4)(13^2+11^2)[/tex]
add all together with exponents
=48*290
= Then turn into a smaller exponent
= [tex]2^4 * 3 * 2*145[/tex]
combine like terms
[tex]2^4 *2[/tex]
=[tex]2^5[/tex]
Answer:
5
Step by step explanation :
13^4-11/4=13920
2^5=32
13920÷32=435
Therefore largest power = 5
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Four movie tickets cost $30.00. Each ticket cost the same amounts.what was the cost of each tickets in dollars and cents
Answers
Answer: $7 and 50 cents
Four movie tickets cost $30.00
1 movie ticket will cost 30.00/4 = $7.50
$7.50
You divide 30.00 from 4 (30.00/4) and it equals to 7.5, but since we are dealing with money we add a zero at the end(7.50)
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Assigned seating forever! Ms. Clore has 28 desks in
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On the first day of class, Ms. Clore places identical
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Using the arrangement formula, it is found that there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.
The number of possible arrangements of n elements is given by the arrangement formula, as follows:
[tex]A_n = n![/tex]
It is used when n elements are arranged in n positions.In this problem, 28 students are arranged on 28 desks, hence [tex]n = 28[/tex], and:
[tex]A_{28} = 28! = 3.05 \times 10^{29}[/tex]
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Select all the functions whose output is 4 when the input is 16.
A.
y = 2x
B. y=x?
2
= x
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y = x + 12
D.
y = x - 12
E. y = 1
x
Answers
Answer:
Please check your post. I did the best I could.
Step-by-step explanation:
A. y = 2x 4 = 2*(16)? Nope
B. y=x? I don't understand the equation: y = x? 2 = x?????
C. y = x + 12 4 = 16 + 12? Nope
D. y = x - 12 Same???
E. y = 1 x 4 = 16? Nope
Can someone plz help Me?
Answers
Answer:
D
Step-by-step explanation:
As the y value doesn't change between the points that means that it would be reflected over the y axis
simplify √20 x √5
10
4√5
√10
Answers
20*5=100
Root of 100 is 10
#1 need help asap plzzzzzzzzzzzz
Answers
Answer:
[tex]n+4<12[/tex]
Step-by-step explanation:
A number would be represented as [tex]n[/tex]
"plus 4" is addition so that would be [tex]n+4[/tex]
fewer and less have the same meaning so that would be a less than sign [tex]<[/tex]
so that's how you get [tex]n+4<12[/tex]
Solve for x
-1/5x -25 = -9
Answers
Answer:
-80
Step-by-step explanation:
you pass the 25 to the right side adding and the the 1/5 multiplying by -5 to the right side
2(t+1)=10
t= ? ............................................
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Answer:
4
Step-by-step explanation:
2x5=10
5-1=4
2(4+1)=10
The graphs of 4x+12y=8 and y=mx+5 are perpendicular. What is the value of m?
Answers
Answer:
m = 3
Step-by-step explanation:
Slope of first one is -1/3
Perpendicular therefore m = -(-1/3)^(-1) = 3
m = 3
Answer:
Given the equation line 4x+12y=8
Step-by-step explanation:
The equation is y=mx+5y=mx+5
The line passes through A(3,14)A(3,14)
Putting (x,y)=(3,14)(x,y)=(3,14), we have…
14=3m+514=3m+5
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A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 hirt. Complete the table of values for this situation.
Answers
Answer:
thanks
Step-by-step explanation:
Answer:1- $52 {40+12(1)=}
5- $100 {40+12(5)=}
10 - $160 {40+12(10)=}
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Prove that the equation x^2+px-1=0 for every p has two different solutions
Answers
Answer:
To prove: The equation x2+px−1=0 has real and distinct roots for all real values of p.
Consider x2+px−1=0
Discriminant D=p2−4(1)(−1)=p2+4
We know p2≥0 for all values of p
⇒p2+4≥0 (since 4>0)
Therefore D≥0
Hence the equation x2+px−1=0 has real and distinct roots for all real values of p
What is the end behavior of the graph of the polynomial function f(x) = 3x^6 + 30x^5 + 75x^4?
Answers
Answer:
[tex]f(x)\longrightarrow\infty[/tex] as [tex]x\longrightarrow\infty[/tex]
Step-by-step explanation:
We can see that all parts of the polynomial are positive, so as x gets larger, y will also get larger.
Oscar has baskets that each contain 25 apples. Each day 2 apples are
eaten from each basket. Oscar has (25 – 2d) apples left afterd days in
one basket. If Oscar has 7 baskets of apples, how many apples are left
after d days?
Answers
Answer:
175 -14d
Step-by-step explanation:
There will be 7 times as many as in one basket.
7(25 -2d) = 175 -14d . . . . total apples left
Can i get some help :
Answers
Answer:
sorry i dont under stand it either would it be ok if i repost this
Answer:
t<28 Tia ran the race under 28 seconds
t>28 The temperature is warmer than 28°F
t<29 Tony is younger than 29 years old
t>29 The table is heavier than 29 kilograms
Step-by-step explanation:
the first sentence does not apply
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Which type of graphs can show continuous data?
a. line graph
b. bar graph
c. line plot
d. pictograph
Answers
Answer:
bar and line
Step-by-step explanation:
pi(r^2)(12)=324 , how do you find the radius of this equation?
Answers
Answer:
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]
Step-by-step explanation:
[tex]\pi r^{2} (12)=324[/tex]
[tex]\pi r^{2} =27[/tex]
[tex]r^{2} =\frac{27}{\pi }[/tex]
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]