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Olin [163]
3 years ago
5

For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and

horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.
Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.

Mathematics
1 answer:
NeTakaya3 years ago
4 0

Answer:

\frac{y}{2}=\frac{x}{1}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

so

The proportion is equal to

\frac{y}{2}=\frac{x}{1}

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What is the next term of the geometric sequence?<br> −128/27,32/9,−8/3,?
Rudik [331]

2

Step-by-step explanation:

common ratio(r)=-3/4

a2÷a1=r

32/9÷-128/27=-3/4

therefore using the common ratio to find the fourth term is just by multiplying the third term -8/3 by the common ratio -3/4

which equals = 2

4 0
2 years ago
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What are the sizes of angles a, b, c and d? ​
Lilit [14]

Answer:

a = 26°

b = 48°

c = 26°

d = 106°

Step-by-step explanation:

c +  {154}^{o}  =  {180}^{o}  \\ c =  {180}^{o}  -  {154}^{o}  \\ c =  {26}^{o}

a = c (Alternate angles)

a =  {26}^{o}

b =  {48}^{o}

Corresponding angles

(a + d) + b = 180° (Interior angles)

{26}^{o}  + d +  {48}^{o}  =  {180}^{o}  \\ d +  {74}^{o}  =  {180}^{o}  \\ d =  {180}^{o}  -  {74}^{o}  \\ d =  {106}^{o}

8 0
2 years ago
Solve for x.<br> 4(x + 3) = x +42<br> x = [?]
laila [671]

Answer: x=10

Step-by-step explanation:

4(x+3)=x+42\\4x+12=x+42\\4x-x=42-12\\3x=30\\x=10

7 0
3 years ago
I need help 2(4+2x)≥5x+5
timofeeve [1]

Answer:

x ≤ 3

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  

Distributive Property

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2(4 + 2x) ≥ 5x + 5

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

  1. [Distributive Property] Distribute 2:                                                                 8 + 4x ≥ 5x + 5
  2. [Subtraction Property of Equality] Subtract 5x on both sides:                       8 - x ≥ 5
  3. [Subtraction Property of Equality] Subtract 8 on both sides:                        -x ≥ -3
  4. [Division Property of Equality] Divide -1 on both sides:                                 x ≤ 3
5 0
2 years ago
Use the Distributive Property <br> 8(3x+2)
MA_775_DIABLO [31]

Answer:24x+16

Step-by-step explanation:

8 0
3 years ago
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