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Anuta_ua [19.1K]
3 years ago
7

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 km per hour faster than the other.

If the two cyclists are 240 km apart after 4 hours, what is the rate of each cyclist?​

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

the rate of the first cyclist: 28km/h

the rate of the 2nd cyclist 28+4= 32km/h

Step-by-step explanation:

x= the rate of the first cyclist

x+4= the rate of the 2nd cyclist

after 4 hours: + the first cyclist travels 4x  (km)

                       + the 2nd cyclist travels 4(x+4)  (km)

because the two cyclists are 240 km apart after 4 hours

=> 4x + 4(x+4) = 240 => x= 28

i hope it's useful forr u =)))

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Select ALL the correct answers.
shepuryov [24]

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary

The description of the angles in the quadrilaterals are:

  • b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
  • d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
  • e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
  • f. m∠J = 105°, m∠K = 65°, and m∠L = 75°

<h3>How to describe the angles</h3>

The quadrilateral is given as: JKLM

The opposite angles are:

  • Angles J and L
  • Angles K and M

The opposite angles are supplementary

So, we have:

J + L = 180

K + M = 180

Next, we test the options

<u>Option (a)</u>

J + L = 180

125 + 35 = 160

This is not true

<u>Option (b)</u>

J + L = 180

48 + 132 =180

This is true

<u>Option (c)</u>

K + M = 180

12 + 78 = 180

This is not true

<u>Option (d)</u>

K + M = 180

120 + 60 = 180

This is true

<u>Option (e)</u>

K + M = 180

72 + 108= 180

This is true

<u>Option (f)</u>

J + L = 180

105 + 75 = 180

This true

Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)

Read more about inscribed quadrilaterals at:

brainly.com/question/26690979

6 0
2 years ago
A delivery truck drives three routes in one day. The first route is 1223 miles long, the second route is 1034 miles long, and th
avanturin [10]

Answer:

Total = 38\frac{11}{12}\ miles

Step-by-step explanation:

Given

First\ Route = 12\frac{2}{3}\ miles

Second\ Route = 10\frac{3}{4}\ miles

Third\ Route = 15\frac{1}{2}\ miles

Required

Determine the total miles

Total = First\ Route + Second\ Route + Third\ Route

Total = 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2}

Convert to improper fractions

Total = \frac{38}{3} + \frac{43}{4} + \frac{31}{2}

Take LCM

Total = \frac{152 + 129 + 186}{12}

Total = \frac{467}{12}

Total = 38\frac{11}{12}\ miles

5 0
3 years ago
Find the highest common factor of 32 and 80
valina [46]
32=2*2*2*2*2=2^5
80=2*2*2*2*5

hcf = 2*2*2*2=2⁴=16
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Montano1993 [528]
Infinite sets may be countable or uncountable. Some examples are: the set of all integers, {..., -1, 0, 1, 2, ...}, is a countably infinite set; and. the set of all real numbers is an uncountably infinite set.
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The two figures are congruent find the measure of the requested side or angle
antiseptic1488 [7]
You have not provided the figures, therefore, I cannot provide an exact answer.
However, I can helps you with the steps.

One important thing to note is that when writing statements of congruency, the order of writing the letters is very important. This is because each side/angle in the first figure would be congruent to the corresponding side/angle in the second.

Therefore, all you have to do in the above question is write the congruent figures and determine the corresponding congruent sides/angles

Example:
If we are given that triangle ABC is congruent to triangle DEF
This means that:
AB = DE
BC = EF
AC = DF
angle A = angle D
angle B = angle E
angle C = angle F

Hope this helps :)
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