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
Schach [20]
2 years ago
12

For DE=29,find the length of segment BC

Mathematics
1 answer:
LenKa [72]2 years ago
7 0
Triangle ABC is similar to triangle ADE.

The scale factor from ADE to ABC is 2. We know this because two of the sides on the triangle are equally divided into 2.

29(2) = 58

BC = 58
You might be interested in
6x + 10x = 64 what does x equal?
Nutka1998 [239]
X= 4
You add 6x and 10x then divide 16x from 64 which makes x=4
6 0
3 years ago
Read 2 more answers
Write the equation of a line with a slope of 3 and a y-intercept of 1.
noname [10]

Take a look at the image below.

6 0
3 years ago
Write a number of your choice, using the following clues:
guapka [62]

Answer:

90

Step-by-step explanation:

90÷2= 45

90÷3=30

8 0
3 years ago
Read 2 more answers
Haley bought 8 pencils and 3 folders for $10.39. Nicole bought 5 pencils and 4 folders for $10.51. How much does a folder cost?
cupoosta [38]

Answer:

$1.89

Step-by-step explanation:

1) 8p+3f=$10.39

2) 5p+4f=$10.51

where p represents pencil & f represents folder.

multiply the first equation by 5 and the second equation by 8.

40p+15f=$51.95

40p+32f=$84.08

Subtract

17f=$32.13

f=$32.13/17 =$1.89

6 0
3 years ago
Read 2 more answers
Match the numerical expressions to their simplest forms.
Aloiza [94]

Answer:

(a^6b^1^2)^\frac{1}{3} = a^2b^4

\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}} = a^3b^2

(\frac{a^5}{a^-^3b^-^4})^\frac{1}{4} = a^2b

(\frac{a^3}{ab^-^6})^\frac{1}{2} = ab^3

Step-by-step explanation:

Simplify each of the expressions:

1

(a^6b^1^2)^\frac{1}{3}

Distribute the exponent. Multiply the exponent of the term outside of the parenthesis by the exponents of the variable.

(a^6b^1^2)^\frac{1}{3}

a^6^*^\frac{1}{3}b^1^2^*^\frac{1}{3}

Simplify,

a^2b^4

2

Use a similar technique to solve this problem. Remember, a fractional exponent is the same as a radical, if the denominator is (2), then the operation is taking the square root of the number.

\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}

Rewrite as square roots:

\frac{\sqrt{a^5b^3}}{\sqrt{(ab)}^-^1}

A negative exponent indicates one needs to take the reciprocal of the number. Apply this here:

\frac{\sqrt{a^5b^3}}{\frac{1}{\sqrt{ab}}}

Simplify,

\sqrt{a^5b^3}*\sqrt{ab}

Since both numbers are under a radical, one can rewrite them such that they are under the same radical,

\sqrt{a^5b^3*ab}

Simplify,

\sqrt{a^6b^4}

Since this operation is taking the square root, divide the exponents in half to do this operation:

a^3b^2

3

(\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}

Simplify, to simplify the expression in the numerator and the denominator, the base must be the same. Remember, the base is the number that is being raised to the exponent. One subtracts the exponent of the number in the denominator from the exponent of the like base in the numerator. This only works if all terms in both the numerator and the denominator have the operation of multiplication between them:

(\frac{a^8}{b^-^4})^\frac{1}{4}

Bring the negative exponent to the numerator. Change the sign of the exponent and rewrite it in the numerator,

(a^8b^4)^\frac{1}{4}

This expression to the power of the one forth. This is the same as taking the quartic root of the expression. Rewrite the expression with such,

\sqrt[4]{a^8b^4}

SImplify, divide the exponents by (4) to simulate taking the quartic root,

a^2b

4

(\frac{a^3}{ab^-^6})^\frac{1}{2}

Using all of the rules mentioned above, simplify the fraction. The only operation happening between the numbers in both the numerator and the denominator is multiplication. Therefore, one can subtract the exponents of the terms with the like base. The term in the denomaintor can be rewritten in the numerator with its exponent times negative (1).

(a^3^-^1b^(^-^6^*^(^-^1^)^))^\frac{1}{2}

(a^2b^6)^\frac{1}{2}

Rewrite to the half-power as a square root,

\sqrt{a^2b^6}

Simplify, divide all of the exponents by (2),

ab^3

7 0
3 years ago
Other questions:
  • Solve (9xy+5) (8xy+7)
    7·1 answer
  • Howard has a scale model of statue of liberty. The model is 15 inches tall the clay of the model to the actual statue is 1 inch
    12·1 answer
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
    7·2 answers
  • Find the interquartile range (IQR) of the data in the box plot below. A horizontal boxplot titled Magnitude of earthquakes, is p
    5·2 answers
  • 2. What is the length of<br> side c? Someone help
    6·2 answers
  • Please... help me..I have a confusion..<br><br>is the (-5 + -3 ) is =( -5 - +3)​
    15·1 answer
  • Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and
    13·1 answer
  • What is the unit rate for this?<br> Time: 1, 2, 3, 4 <br> Amount: 0.6, 1.2, 1.8, 2.4
    9·1 answer
  • BRAINLIST!!!!
    10·1 answer
  • ?? math-domain and range
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!