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
Mekhanik [1.2K]
2 years ago
7

Find the value of x

Mathematics
1 answer:
ivann1987 [24]2 years ago
7 0

Answer:

Hypotenuse x = 10 unit

Step-by-step explanation:

Given:

Two equal sides = 5√2

Find:

Hypotenuse x

Computation:

Using Pythagorean theorem;

Hypotenuse = √Base² + Perpendicular²

Hypotenuse x = √(5√2)² + (5√2)²

Hypotenuse x = √50 + 50

Hypotenuse x = √100

Hypotenuse x = 10 unit

You might be interested in
How many numbers are from k to n? (Including k and n.)
shepuryov [24]

Answer:

<em>n</em> - <em>k</em> + 1

Step-by-step explanation:

This is assuming (because you did not say) that <em>n</em> and <em>k</em> are integers and <em>n</em> is greater than <em>k</em>.

Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.

Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}

7 0
3 years ago
The recreation department is creating teams for baseball. 295 people have signed up. How many teams of 24 people will they be ab
RUDIKE [14]

Answer:

There will be 12 full teams and 7 extra people.

Step-by-step explanation:

Please mark me Brainliest

4 0
2 years ago
100 POINTS!!! Which statement about rational numbers is correct?
Natasha_Volkova [10]

Answer: Rational numbers have decimal expansions that repeat or terminate.

Step-by-step explanation:

The explanation of this is the non-terminating but repeating decimal expansion means that although the decimal representation has an infinite number of digits, there is a repetitive pattern to it. The rational number whose denominator is having a factor other than 2 or 5, will not have a terminating decimal number as the result.

6 0
2 years ago
What is the value of x?
Nikolay [14]
Answer: 7 centimeters 

Explanation:

Let triangle ABC and triangle CDE form a bow tie such that 
     - triangle ABC is smaller than triangle CDE
     - Segment AC and segment CD are the north sides
     - Segment BC and segment CE are the bottom sides
     - AC = 6, CD = 42, CE = 36, BC = x

Since angle ACB and angle ECD are formed by intersecting segment AE and segment BD at point C, they are vertical angles. (See the attached picture) So, angle ACB and angle ECD are congruent. 

Moreover when we form our bowtie, point A is in the north side and point E is in the bottom sides and this implies that angle BAC and angle CED are alternate interior angles as shown in the attached figure. 

Since it is given in the problem that alternating interior angle are congruent, angle BAC and angle CED are congruent. 

Now, we have the following pairs of angles in triangle ABC and triangle CDE that are congruent:

- angle BAC and angle CED
- angle ACB and angle ECD

By AA Similarity theorem, when we have two pairs of congruent angles for two triangles, then the two triangles are similar. So, triangle ABC and triangle CDE are similar.

In similar triangles, the sides that are opposite to the congruent angles are proportional to each other. So, 

\frac{BC}{CD}  =  \frac{AC}{CE} &#10;&#10;&#10;    (1)

Since AC = 6, CD = 42, CE = 36, BC = x, we can substitute these values to equation (1). So, equation (1) becomes

\frac{x}{42} = \frac{6}{36}
\frac{x}{42} = \frac{1}{6}  (2)

SInce we are solving for x, we can multiply both sides of equation (2) by the denominator at the left side which is 42 so that

x = 42(1/6)
x = 7 centimeters

8 0
3 years ago
What can 385/64 be simplified to?
yarga [219]
\frac{385}{64} (an improper fraction) can be simplified to 6 \frac{1}{64} (a mixed number)
8 0
3 years ago
Other questions:
  • dolores and four friends went to a buffet dinner.The total cost was at most $130 including the $20 dollar tip they left.How much
    5·2 answers
  • A=2x+6xz solve for x
    8·1 answer
  • G) 145
    13·1 answer
  • Let f(x) = x2 − 8x + 5. Find f(−1)
    8·2 answers
  • Write a mixed number
    6·2 answers
  • Evaluate the limit, or state that the limit does not exist<br> 4n-6n/10n
    12·1 answer
  • 5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a
    5·1 answer
  • If point P is Four-sevenths of the distance from M to N, what ratio does the point P partition the directed line segment from M
    14·2 answers
  • in the flower case at the supermarket, there are 5 bouquets of red roses and 4 bouquets of pink roses. Each bouquet is half a do
    14·1 answer
  • DUE IN 10 MINSSSS ILL GIVE BRAINLYEST!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!