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timurjin [86]
3 years ago
5

I need help on number 6

Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

x = 0

Step-by-step explanation:

First we set up our equation. From the picture we can see that:

11 + x + 1 = 2x + 12

Now we can gather our like terms:

x + 12 = 2x + 12

Lets subtract x from both sides to isolate the x on the left:

12 = x + 12

Next we subtract 12 from both sides

x = 0

Check the answer

11 + 0 + 1 = 2(0) + 12

12 = 0 + 12

12 = 12

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X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

6 0
3 years ago
Help plz:)))I’ll mark u Brainliest
DENIUS [597]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

We can write a proportion relating the short segment to the full length:

  (x+1)/18 = 4/(4+5)

  x +1 = 8 . . . . . . multiply by 18 and simplify

  x = 7 . . . . . . . .  subtract 1

3 0
2 years ago
HIGH SCHOOL
-BARSIC- [3]

Answer:99.9

Step-by-step explanation:

6 0
3 years ago
Evaluate: 7( 14 - 8) - 6²<br><br><br>5<br><br>6<br><br>7<br><br>8 <br><br>please help if possible 3
irakobra [83]

Answer:

6

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>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

7(14 - 8) - 6²

<u>Step 2: Evaluate</u>

  1. Exponents:                                                                                                        7(14 - 8) - 36
  2. (Parenthesis) Subtract:                                                                                     7(6) - 36
  3. Multiply:                                                                                                             42 - 36
  4. Subtract:                                                                                                             6
4 0
2 years ago
HELP PLEASE!!!! 50 POINTS!!!GIVING BRAINLIEST!!
Brums [2.3K]

Answer:

a. Elena donates 12% of her money

Step-by-step explanation:

7 0
3 years ago
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