1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
soldier1979 [14.2K]
3 years ago
10

The shortest side of a right triangle measures 7 m. the lengths of the other two sides are consecutive integers​ - the hypotenus

e being the longer of the two. find the lengths of the other two sides.
Mathematics
1 answer:
Romashka [77]3 years ago
5 0

If the lengths of the other two sides are consecutive integers, then the second leg is n and the hypotenuse is n+1. By the Pythagorean theorem:


(\text{hypotenuse})^2=(\text{leg}_1)^2+(\text{leg}_2)^2,\\ (n+1)^2=n^2+7^2,\\ n^2+2n+1=n^2+49,\\ 2n+1=49,\\ 2n=48,\\ n=24


and


n+1=25.


Answer: the unknown sides have lengths 24 and 25.

You might be interested in
Put -31 0 -12 -4 and -42 in increasing order<br><br> I need help
Mekhanik [1.2K]

Answer: -42, -31, -12, -4 and 0

Step-by-step explanation:

Any negative number is lower than 0

4 0
4 years ago
Solve for x.<br> -4 &lt; 11 - 3.2
goldenfox [79]

Answer:

-4<11-(32/10)  

Inequality is always true

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.2" was replaced by "(32/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    -4-(11-(32/10))<0  

Step by step solution :

Step  1  :

           16

Simplify   ——

           5  

Equation at the end of step  1  :

              16

 -4 -  (11 -  ——)  < 0  

              5  

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          11     11 • 5

    11 =  ——  =  ——————

          1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

11 • 5 - (16)     39

—————————————  =  ——

      5           5  

Equation at the end of step  2  :

       39

 -4 -  ——  < 0  

       5  

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          -4     -4 • 5

    -4 =  ——  =  ——————

          1        5    

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

-4 • 5 - (39)     -59

—————————————  =  ———

      5            5  

Equation at the end of step  3  :

 -59

 ———  < 0  

Step-by-step explanation:

4 0
4 years ago
Triangle XYZ is isosceles. Angle Y measures a°. What expression represents the measure of angle X?
lara [203]
The isosceles triangle has two sides congruent which mean they are equal. If two sides are equal, it also means that two angles are equal. 

For triangle XYZ, we have angles shown below:
∠X + ∠Y + ∠Z = 180°

If ∠Y = a°, then we can have the expression for ∠X such as shown below:
∠X + a° + ∠Z =180°
∠X= 180° - a° - ∠Z

If ∠Z = ∠Y, then we have the final expression:
∠X = 180° -2a°
4 0
3 years ago
Can someone help me please <br><br> Find the sum of -7m and 5m + 2
pochemuha

Answer:

0

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Ethan decided to type up some documents while waiting for the meeting to start. he can type 2 pages every 1/8 hours. if the meet
anzhelika [568]

Answer:

Ethan can type 6 pages before meeting starts.

Step-by-step explanation:

Given that,

Ethan can type 2 pages in 1/8 hours

and his meeting is 3/4 hours late.

To find,

number of pages Ethan can type in 3/4 hours

<h3>1) </h3><h3>convert hours to minutes</h3>

1 hour      = 60 minutes

1/8 hours = 1/8 * 60

               = 7.5 minutes

3/4 hours = 3/4 * 60

                = 45 minutes

<h3>2) </h3><h3>calculate pages typed</h3>

7.5 minutes     = 1 page typed

    1 minute      = 1/7.5 pages typed

    45 minutes = (1/7.5) * 45

                        = 6 pages typed

7 0
3 years ago
Other questions:
  • How would I work This Problem out and solve it thank you!
    13·1 answer
  • CALC!! Please help me. For which pair of functions f(x) and g(x) below will the limit as x goes to infinity of the product of f
    15·1 answer
  • Find the difference Write<br> 24-11-0
    15·1 answer
  • In 217,534,896,000,000 which digit is in the ten-billions place
    10·1 answer
  • What is the measure of DAE?<br> 45°<br> 46°<br> 91°<br> 146°
    11·2 answers
  • Solve the equation the square of 2x + 1 equals the square of x + 4
    7·1 answer
  • SOMEONE PLEASE HELP ME ON THIS ASAP. I'LL RATE AS BRAINLIEST. PLS PLS PLS PLS
    8·1 answer
  • Can anyone help? does anyone know the last answer? its 3.
    5·1 answer
  • Select the correct answer. A company offers its employees free recreational activities and gym memberships. Of the 200 employees
    7·2 answers
  • Prove that the two circles shown below are similar. (10 points) Circle B Has A Center Of (-1, 5) And A Radius Of 4. Circle D Has
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!