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katen-ka-za [31]
3 years ago
9

Find the value of x in the equation below. 15.4=x-13.9

Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

29.3

Step-by-step explanation:

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Pls help!!!!!!!! Will give brainliest!!!!!!!!!!!
prohojiy [21]
Okay so lets look at the equation given
a ^{2} + {b}^{2} = {c}^{2}
this is the Pythagorean theorem, this equation holds true to all right angle triangles.

for the "a" and "b" terms must be the two shortest lengths and "c" must be the longest length.
why? because "c" represents the hypotenuse in this theorem and the hypotenuse is by definition the longest side of a right triangle.

(side note: always draw a picture, it helps a lot if you doodle a bit to get an idea of what you are working with)

we are given three lengths : 3 , 4, and 5 (im ignoring the measurements for now)

we can look at it two ways with a picture and through algebra

try to draw a right triangle with the given info. you'll see there are only two cases were this is possible the picture above is one case where this is not possible

now we can look at this algebraically
a = 3 \\ b = 4 \\ c = 5
(but "a" and "b" can swap lengths)

now with the Pythagorean theorem we can see how this plays out
{a}^{2} + {b}^{2} = {c}^{2} \\ {3 }^{2} + {4}^{2} = {5 }^{2} \\ 9 + 16 = 25 \\ 25 = 25
and heres with "a" and "b" lengths swapped
{4}^{2} + {3}^{2} = {5}^{2} \\ 16 + 9 = 25 \\ 25 = 25
now here's a case when we let 5 , our longest length , become a leg and let one our shorter lengths take the place of "c"

a = 5 \\ b = 3 \\ c = 4 \\ {5}^{2} + {3}^{2} = {4}^{2} \\ 25 + 9 = 16 \\ 34 = 16 \:
obviously 34 does not equal 16

hope this helped you out

4 0
3 years ago
In the data set below, what are the lower quartile, the median, and the upper quartile?
Studentka2010 [4]

The median, upper and lower quartiles of the data set are:

Lower Quartile = 46

Median = 49

Upper Quartile = 90

<h3>What is the Median?</h3>

The center value or middle value of a data set is the median.

<h3>What are the Upper and Lower Quartiles?</h3>

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Order the data set given as:

32, 46, 49, 49, 77, 90, 96

Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46

Median = 32, 46, 49, (49,) 77, 90, 96 = 49

Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90

Learn more about the Median, Upper and Lower Quartiles on:

brainly.com/question/15572643

3 0
2 years ago
Lydia is having a party on Saturday she decides to write a riddle order invitations to describe your house number on Cypress Str
Katen [24]
Where is the clues to the question?
7 0
3 years ago
In the diagram mz3= x+ 30 and mz4 =2x-80. What is the measure of angle 3?
Andreas93 [3]

Given:

Consider the below figure attached with this question.

m\angle 3=(x+30)^\circ and m\angle 4=(2x-80)^\circ.

To find:

The measure of angle 3.

Solution:

From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.

We know that, vertically opposite angles are always equal. So,

m\angle 3=m\angle 4

(x+30)^\circ=(2x-80)^\circ

x+30=2x-80

x-2x=-30-80

-x=-110

x=110

Now,

m\angle 3=(110+30)^\circ

m\angle 3=140^\circ

Therefore, the measure of angle 3 is 140 degrees.

6 0
3 years ago
Find the value or measure below. Assume that lines that appear tangent to be tangent.​
Ahat [919]

Answer:

x = 11.2

Step-by-step explanation:

hypotenuse = 8.4 (radius) + 5.6 = 14  

using the Pythagorean theorem:

x² = 14² - 8.4² = 196 - 70.56 =125.44

x = √125.44 = 11.2

5 0
3 years ago
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