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postnew [5]
1 year ago
12

If both pairs of opposite sides of a quadrilateral are congruent, then thequadrilateral is a parallelogram.A. TrueB. False

Mathematics
1 answer:
frutty [35]1 year ago
7 0

Answer:

True

Explanation:

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Suppose that g(x) varies inversely with (x) and g(x) = 0.2 when x=0.1. What is g(x) when x=1.6?
mestny [16]
Since g(x) varies with x, therefore:
g(x) = k/x where k is a constant.

So, first we need to get k. We are given that g(x) = 0.2 when x = 0.1
Substitute with these values to get k as follows:
g(x) = k/x
0.2 = k/0.1
k = 0.2*0.1 = 0.02

Now, the equation became:
g(x) = 0.02 / x

We need to get the g(x) when x = 1.6
Therefore, we will substitute with x in the equation and calculate the corresponding g as follows:
g(x) = 0.02 / 1.6
g(x) = 0.0125
6 0
2 years ago
Read 2 more answers
The sum of two consecutive integers is 65. what are the two integers? show steps please.
Gnoma [55]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

\triangle~\fbox{\bf{KEY:}}

  • Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

\longmapsto\sf{x+x+1=65}

Combine like terms:

\longmapsto\sf{2x+1=65}

Subtract 1 from both sides of the equal sign:

\longmapsto\sf{2x=64}

Divide both sides by 2:

\longmapsto\sf{x=32}

To find the second integer, subtract the first integer from the sum of the two integers:

\longmapsto\pmb{65-32}

\longmapsto\pmb{33}

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

7 0
2 years ago
Which of the following is an example of simple harmonic motion?
Klio2033 [76]

the answer would be C

5 0
2 years ago
Read 2 more answers
Which data value has the highest frequency? 1 1/6 3 1/6 3/8 5/8
Marat540 [252]

Answer:

3 1/6

Step-by-step explanation:

To find the highest value, we have to evaluate each term individually,

1)  1 1/6 = 7/6 = 1.167

2) 3 1/6 = 19/6 = 3.16

3) 3/8 = 0.375

4) 5/8 = 0.625

Therefore, second data value (3 1/6) is highest.

 

8 0
2 years ago
Jim began a 165 mile bicycle trip to build up stamina for a triathlete competition unfortunately his bike chain broke so he fini
denpristay [2]

Answer: Approximately 4.7 hours.

Step-by-step explanation:

He rode the bicycle for some time before it broke down and he walked the remaining distance. This means that Jim covered a total of 165 miles by riding at a speed of 35 miles per hour and walking at a speed of 3 miles per hour.

Let x = the distance covered by riding the bicycle.

Let y = the distance covered by walking.

Time = distance /speed

Time he used in riding would be x/35

Time he used in walking would be y/3

Since the entire trip took 7 hours,

x/35 + y/3 = 7

3x + 35y = 735 - - - - - - - - 1

Total miles covered is 165. Therefore,

x + y = 165 - - - - - - - - -- - -2

Substituting x = 165-y into equation 1, it becomes

3(165-y) + 35y = 735

495-3y + 35y = 735

-3y + 135y = 735-495

132y = 240

y = 240/132

y = 1.81m

x = 165 - 1.81 = 163.19

Amount of time that he spent on the bicycle will be

x/35 = 163.19/35

= 4.66

Approximately 4.7 hours.

7 0
3 years ago
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