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2 years ago

triangle RST is congruent to triangle NPQ, RT=7x-5, NQ= 5x+11, find the length of side RT and side NQ

Mathematics

2 answers:

Gelneren [198K]2 years ago

6 0

Answer: The length of side RT and side NQ is 51 units.

Step-by-step explanation:

Given : Δ RST ≅ Δ NPT

RT=7x-5 , NQ= 5x+11

To find: RT =? and NQ=?

Solution:

Since, given triangles are congruent .And Congruent triangles have equal sides.

$\Delta RST$ ≅ $\Delta NPQ$

So,

RT= NQ = 7x-5 = 5x+11

Solving for x we get ,x = 8

RT =7x-5 = 7 × (8) - 5 = 51 units

NQ = 5x+11 = 5 × (8) + 11 = 51 units

Nitella [24]2 years ago

5 0

7x + 5 = 5x + 11
2x + 5 = 11
2x = 6
x = 3

7(3) + 5
21 + 5 = 26

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3 years ago

0 A maker of a certain brand of low-fat cereal bars claims that the average saturated fat content is 0.5 gram. In a random sampl

balandron [24]

Answer:

The first step is to determine the average

$x= \frac{0,6+0,7+ 0,7+0,3+0,4+ 0,5+ 0,4 +0,2}{8}\\\ x= 0,475$

The exercise says it’s a normal distribution: (n=8)

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According to the exercise, the mean is equal to 0,5 then the value of t of the distribution can be obtained

$t= \frac{x-u}{\frac{s}{\sqrt{n} }}\\\ t= \frac{0,475 - 0,5}{0,183}\\\ t= -0,3860$

The variable t has 7 grade to liberty, we calculate the p-value as:

$2* P(t < - 0,3860)= \\\ 2* 0,3554 = 0,7108$

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7 0

3 years ago

15. Find the force on an electron crossing a uniform magnetic field of intensity 0.5 T WILII

EleoNora [17]

Answer:

F = 8.48 x $10^{-18}$ N

Step-by-step explanation:

The force on an electron in a magnetic field can be determined by;

F = qvB Sin θ

where: e is the electron, v is its velocity, B is the measure of the magnetic field, and θ is the angle of its path.

Thus,

q = -1.6 x $10^{-19}$ C

v = 106 m/s

B = 0.5 T

θ = $90^{o}$

So that,

F = 1.6 x $10^{-19}$ x 106 x 0.5

= 8.48 x $10^{-18}$ N

The force on the electron crossing the uniform magnetic field is 8.48 x $10^{-18}$ N.

8 0

3 years ago

Please help!

quester [9]

Answer:

The third one

Step-by-step explanation:

Median - Middle number in terms of value

Mode - outcome that appears the most

Mean - average ( add the numbers together and divide that by the amount of numbers )

Data without Kevins score

13, 21, 28, 9, 31

First let's find the mean

To find the mean we simply add the numbers up and divide that by the total amount of numbers ( there are 5 numbers )

13 + 21 + 28 + 9 + 31 = 102

102/5=20.4

So the mean without Kevins score is 20.4

Next let's find the mode

The mode is the number that appears the most

Looking at the data no number appears more than once so there is no mode

Finally let's find the median.

To make it easier to find let's list the numbers in order from least to greatest

9, 13 , 21 , 28, 31

We then go to the middle number ( which would be 21 )

The mode is 21

So for data without Kevins score the mean would be 20.4, the median would be 21 and the mode would be none

Now let's add in Kevin's score and repeat this process

Data with Kevin's score

13, 21, 28, 9, 31, 9

First let's find the mean

( Note that there is 6 numbers this time )

13 + 21 + 28 + 9 + 31 + 9 = 111

111/6 = 18.5

So mean with Kevin's score = 18.5

Next let's find the mode

The number 9 appears the most so the mode is 9

Finally let's find the mean

Once again let's list the numbers from least to greatest

9, 9, 13 , 21 , 28, 31

Because there is an even amount of numbers we will take the sum of the two middle numbers and divide that by 2

The two middle numbers would be 21 and 13

21 + 13 = 34

34/2=17

So median = 17

In the end we get the following

Without Kevins score

Mean = 20.4

Median = 21

Mode = none

With Kevin's score

Mean = 18.5

Median = 17

Mode = 9

This information corresponds with the third table

5 0

2 years ago