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Nastasia [14]
2 years ago
12

The legs of a right triangle measure 7 and x. The hypotenuse measures 25. Determine the value x

Mathematics
1 answer:
777dan777 [17]2 years ago
3 0

Hi

According to Pythagoras :

The square of hypotenuse is the sum if the square if the two other side

so : 7^2 + X^2 = 25^2

49 + X^2 = 625

X^2 = 625-49

X^2 = 576

this equation as two roots . As a triangle cannot have a negative side value, I will only take positive value

so X = V576 =24

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A rectangular floor is 7 yards long and 3 yards wide. what is the area of the floor in square feet? be sure to include the corre
mario62 [17]
There are a couple ways to do this, but basically you need to convert the units. 

<span>7 yards x 3 ft/yard = 21 feet </span>
<span>4 yards x 3 ft/yard = 12 feet </span>
<span>So the area (in sq. ft) will be: </span>
<span>21 x 12 </span>
<span>= 252 sq. ft. </span>

<span>Alternatively, you can figure the area in square *yards* and then multiply by 9 sq. ft per sq. yard. </span>
<span>7 yards x 4 yards x 9 sq. ft/sq. yard </span>
<span>= 252 sq. ft.

hope this helps :)</span>
4 0
3 years ago
Someone please help me make a proof for the bottom question
Lerok [7]

Answer:

DB = CA (Proved)

Step-by-step explanation:

Statement 1.

∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2

Reason 1.  

Given

Statement 2.

Between Δ DBM and Δ CAM,  

(i) DM = CM,

(ii) ∠D = ∠C  and  

(iii) ∠DMB = ∠CMA

Reason 2.

(i) given  

(ii) given and  

(iii) ∠ DMB = ∠1 + ∠AMB and  ∠CMA = ∠2 + ∠AMB

Since ∠1 = ∠2, so, ∠DMB = ∠CMA.

Statement 3.

Δ DBM ≅ Δ CAM

Reason 3.

By angle-side-angle rule.

Statement 4.

DB = CA

Reason 4.

Corresponding sides of two congruent triangles. (Answer)

7 0
3 years ago
Researchers studied symptom distress and palliative care designation among a sample of 710 hospitalized patients. Controlling fo
N76 [4]

Answer:

A. Men had less distress from nausea on average than women but we can not determine if this is a significant difference.

Step-by-step explanation:

Working based on the information given, the mean values of each group with with men having an average score of 1.02 and women have an average of 1.79 this reveals that distressing nausea on average is higher in women than in men . However, to test if there is a significant difference would be challenging as the information given isn't enough to make proceed with the test as the standard deviations of the two groups aren't given and no accompanying sample data is given.

8 0
3 years ago
The graphs of three functions are shown.
satela [25.4K]

Answer:

  • The square root and quadratic function share a y-intercept.
  • The range of the square root and absolute value function are the same.

Step-by-step explanation:

Y-intercepts are the same when the curves meet the y-axis at the same point. That is true of the root and quadratic functions.

X-intercepts are the same when the curves meet the x-axis at the same point. None of these functions share an x-intercept.

The ranges of the functions are the same when they have the same vertical extent. The range of the quadratic is different from the range of the other two functions.

The absolute value and root functions have the same minimum (lower end of their range). That is the same as the maximum of the quadratic function.

__

The statements that match the graphs are ...

  • The square root and quadratic function share a y-intercept.
  • The range of the square root and absolute value function are the same.
7 0
3 years ago
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Nadusha1986 [10]

Answer:

ABC is isosceles

Step-by-step explanation:

3 0
2 years ago
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