The hypotenuse of an isosceles triangles measures 10 inches long. What is the length of one leg of the triangle?

Answers

Answer 1
Answer: Because this triangle is isosceles, its legs are equal, so we can write using Pythagorean theorem

a² +a² = 10²
2a²= 10²
a² = 10²/2
a=
√(10²)/√2 =10/√2 = 10√2/(√2√2)= 10√2/2 =5√2

a= 5√2 (inch)

Answer is 5√2 inches.
Answer 2
Answer:

Answer:

10/√2

Step-by-step explanation:


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Walter is 43 years old his daughter Paulette is 7. In how many years will Paulette be one-third of Walters age

Answers

The answer is 14 when rounded to the nearest whole number, to get this you simply must divide 43 by 3 which equals to 14.333. 

4(8x + 1) − 3x = 2 − 3(4x + 2)
good luck!

Answers

Answer:

x=  −8/41

Step-by-step explanation:

Step-by-step explanation:

Long divide the coefficients to find:

x

4

+

8

x

3

3

x

2

+

4

x

2

x

2

+

4

=

x

2

+

8

x

+

1

+

28

x

6

x

2

+

4

Explanation:

I like to long divide the coefficients, not forgetting to include

0

for any missing power of

x

...

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The process is similar to long division of numbers.

For a more fully explained example, see:

A scalene triangle _____ has symmetry with respect to a line containing an altitude of the triangle.Always
Sometimes
Never

Answers

Answer:

The answer is never.

Step-by-step explanation:

A scalene triangle is the one, which has all the three sides unequal. A scalene triangle has no equal sides so it has no lines of symmetry as a line of symmetry would divide the triangle evenly.

Therefore, the answer is never.

A scalene triangle NEVER has symmetry with respect to a line containing an altitude of the triangle.

Answer: Never/False

Explanation: A scalene triangle "never" has a symmetry with respect to a line containing an altitude of the triangle.

Hope this helps!

Thank you :)

-Charlie

2 Sqrt5  + 3 sqrt8 equals ?

Answers

2 * Sqrt 5 = 4.4
Sqrt 5 = 2.2
3* Sqrt 8 = 8.4
Sqrt 8 = 2.8
8.4 + 4.4 = 12.8

Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make? a)he only used the additive inverse of 10m when combining like terms. b)She added the polynomials instead of subtracting. c)She only used the additive inverses of –7n and 3mn when combining like terms. d) She did not combine all like terms.

Answers

Answer:

a) She only used the additive inverse of 10m when combining like terms.

Step-by-step explanation:

Given : Holly finds that(11m-13n+6mn)-(10m-7n+3mn)=m-20n+9mn

First we open the bracket by multiplying minus sign in it, we get

11m-13n+6mn-10m+7n-3mn

Combining like terms we get, we get

11m-10m-13n+7n+6mn-3mn=m-6n+3mncorrect answer.

When we compare the correct answer to the answer given by Holly, the first term is same in both the answers,

Therefore, She only used the additive inverse of 10m when combining like terms.

Answer:

answer A

Step-by-step explanation:

1. Which of the following numbers is an example of an integer?
• **-15 **
• **3/5**
• **0.252525 . . .**
2.
Which statement is false?
• **Every integer is a real number.**

• **The number zero is a rational number. **
• **Every irrational number is a real number. **

• **Every real number is a rational number.**
3.
Which number is not the same type of number as the others in the list?
• **5.85**
• **63.4**
• **8.52624 . . . **
• **27.5**
4.
How would you change this sentence to a true statement?

Some irrational numbers are also rational numbers.
• **All irrational numbers are also rational numbers.**
• **Half of the irrational numbers are also rational numbers.**
• **One-third of the irrational numbers are also rational numbers. **
• **Irrational numbers cannot be classified as rational numbers.**
5.
How would you change this sentence to a true statement?

Every irrational number is an integer.
• **Every irrational number is a rational number.**
• **Every irrational number is a real number. **
• **Every irrational number is a whole number. **
• **Every irrational number is a perfect square.**

Answers

1. The answer would be "-15" since integers are composed of whole numbers and negatives.

2. The statement "Every real number is a rational number." is false, since real numbers are composed of both rational and irrational numbers.

3. The number "
8.52624 . . ." because this is the only non-terminating number, which makes it the only irrational number on the list.

4. "
Irrational numbers cannot be classified as rational numbers." is the only correct statement. No irrational numbers can be rational numbers, and the opposite is also true.

5. Only the statement "
Every irrational number is a real number." is true.