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Nataly [62]
3 years ago
7

What are the values of a and b?

Mathematics
2 answers:
svetlana [45]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Both triangles are similar triangles!

Length 21 for the top triangle is similar to length 20 for the bottom triangle

Length 29 for the top is similar to b on the bottom.

Length 20 for the top is similar to a on the bottom.

Use the first ratio: 21/20 to find the proportionality constant.

Divide 29 by that constant to get b

Divide 20 by that constant to get a

You end up with b = 580/21 (= 27.61), and a = 400/21 (= 19.047)

Therefore A is the right answer.

Drupady [299]3 years ago
5 0

Step-by-step explanation:

c.....................

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Fudgin [204]
Your answer:1/5 Hope this helps!
3 0
3 years ago
Y= - 2x + 4<br> 2x + y = 4
Tomtit [17]

Answer:

Infinite amount of solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -2x + 4

2x + y = 4

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                  2x + (-2x + 4) = 4
  2. Combine like terms:                                                                                         4 = 4

Here we see that 4 does indeed equal 4.

∴ the systems of equations has an infinite amount of solutions.

7 0
3 years ago
Read 2 more answers
Can someone help me please
Blizzard [7]

Answer:

Area=76.56 square feet

Step-by-step explanation:

area of a rectangle =base*height = 5ft*8ft= 40 square feet

area of a triangle=(base*height)/2 =(4ft*4ft)/2= 8 square feet

area of a square=base*height =4ft*4ft= 16 square feet

area of a circle =\pi* r^{2}[/tex]=3.14*2^{2}= 12.56 square feet

r = radius

Total area=(40+8+16+12.56)square feet

Total area=76.56square feet

3 0
3 years ago
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tac
grandymaker [24]
70000000 would be the answe
8 0
4 years ago
A plant foreman wanted to know how many hours had been spent on a particular project. He asked his supervisors to report the hou
anygoal [31]

Answer:

828.7 hours.

Step-by-step explanation:

To answer a question in which the total time has to be calculated of all the activities, first of all, all the times have to be converted to a single form. There are two types: decimals and fractions. Convert the fractions into decimals.

Department A = 202.50 hours.

Department B = 212 3⁄4 hours  = 212.75 hours.

Department C = 198.25 hours.

Department D = 215 1⁄5 hours = 215.20 hours.

Therefore, the total number of hours spent on this project by all four departments. is the sum of all the above numbers. 202.50 hours + 212.75 hours + 198.25 hours + 215.20 hours = 828.7 hours.

Therefore, the total time is 828.7 hours!!!

3 0
3 years ago
Read 2 more answers
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