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raketka [301]
3 years ago
5

Given ABC , DEF find the values of X and Y

Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
6 0

Answer:

Here, at least ABC and DEF are similar

Then

D = A = 87

=> 5x+2 =87

=> 5x =85

=> x =17

C = F = 180-D-E = 180-42-87=51

=> 3y = 51

=> y = 17

tamaranim1 [39]3 years ago
4 0

Answer:

y = 17

x = 17

Step-by-step explanation:

triangle ABC and DEF are similar and will therefore have the same angles.

the sum of all the angles on ANY triangle will ALWAYS add up to 180°

To work out what y equals, we must first find out what ∠B equals.

∠B corresponds with ∠E therefore, we know that ∠B = 42°

As we already have ∠A, we can now calculate ∠C.

180 - 42 - 87 = 51

∴∠C = 51°

to calculate y:

3y = 51

divide both sides by 3. the 3 on the left gets cancelled out and 51 becomes 17

y = 17

to work out what x equals, we know that ∠E = 42° and that ∠F = 51°

180 - 42 - 51 = 87

∠D = 87°

to calculate x:

5x + 2 = 87

subtract 2 from both sides

5x = 85

divide both sides by 5

x = 17

I hope this helps :-)

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Find the distance between (-5,6)and (3,2).
skad [1K]

Answer:

\displaystyle d = 4\sqrt{5}

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<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 2

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formulas]:                                                     \displaystyle d = \sqrt{(3+5)^2+(2-6)^2}
  2. [Distance] [√Radical] (Parenthesis) Add/Subtract:                                       \displaystyle d = \sqrt{(8)^2+(-4)^2}
  3. [Distance] [√Radical] Evaluate exponents:                                                    \displaystyle d = \sqrt{64+16}
  4. [Distance] [√Radical] Add:                                                                             \displaystyle d = \sqrt{80}
  5. [Distance] [√Radical] Simplify:                                                                         \displaystyle d = 4\sqrt{5}
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3 years ago
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F(13) means x equals 13.

Replace x in the equation with 13 and solve:

-13 + 3 = -10

F(13) = -10

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Two buses leave a corner at the same time. One bus goes uptown at a constant rate of 25 mph, the other downtown at a rate of 15
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