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svetoff [14.1K]
3 years ago
11

Find the value of X.

Mathematics
1 answer:
VashaNatasha [74]3 years ago
6 0

Answer:

19) 28°

20) 60°

21) 17°

Step-by-step explanation:

19)

Supplementary angles:

(x + 12)º + 140º = 180º

x + 12 + 140 = 180

x = 180 - 140 - 12

x = 28º

20)

Angles at a point:

(- 24 + x)° + 24° + 300° = 360°

- 24 + x + 24 + 300 = 360

x = 360 - 300

x = 60°

21)

Vertically opposite angles:

(1 + 3x)° = 52°

1 + 3x = 52

3x = 52 - 1

3x = 51

x = 17°

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The third angle of an isosceles triangle is 16 o less than the sum of two equal angles. Find
vodka [1.7K]

Answer:    49°, 49°, 82°

<u>Step-by-step explanation:</u>

Let x represent the base angles

then 2x - 16 is the vertex angle.

Triangle Sum Theorem states that the sum of the angles is 180°

(x) + (x) + (2x - 16) = 180

                 4x - 16 = 180

                       4x = 196

                         x = 49

Base angles: x = 49

Vertex angle: 2(49) - 16 = 82

                                   

6 0
3 years ago
Re-write the quadratic function below in Standard Form<br> y = -(x – 3)2 +8
lisov135 [29]

Answer:

y = -x² + 6x - 1

General Formulas and Concepts:

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Expanding by FOIL (First Inside Outside Last)
  • Combining like terms

Step-by-step explanation:

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

y = -(x - 3)² + 8

<u>Step 2: Rewrite</u>

  1. Expand [FOIL]:                    y = -(x² - 6x + 9) + 8
  2. Distribute -1:                        y = -x² + 6x - 9 + 8
  3. Combine like terms:           y = -x² + 6x - 1
4 0
3 years ago
Explain how you can use a quick picture to find 3 x 2.7
Nat2105 [25]
3 x 2.7 is the same as 3 x 3 x 0.9 = 9 x 0.9 = 8.1
8 0
3 years ago
Read 2 more answers
La figura mostrada se dividió en tres partes iguales para calcular su área.
levacccp [35]

Answer:

El área de un rectángulo de largo L y ancho A es: L*A.

El área de un triangulo de alto H y base B es: H*B/2.

Ahora veamos las tres figuras:

Rectángulo amarillo:

Largo = 40m

Ancho = 45m

Área = 40m*45m = 1800 m^2

Rectángulo blanco:

Largo = 40m

Ancho = 35m

Área = 40m*35m = 1400m^2

Triangulo azul:

Base = 35m

Alto = 50m

Área = 35m*50m/2 = 875m^2

Area total = 1800 m^2 + 1400m^2 + 875m^2 = 4075m^2

8 0
4 years ago
Help please i suck at this
kap26 [50]

Answer:

Mistake: -3-5=-2, -3-5=-8

Step-by-step explanation:

-3-(7x+5)+9x=-8+3x+10

-3-7x-5+9x=4x+2

-8+2x=4x+2

-8-2=4x-2x

-10=2x

-10/2=x

-5=x

5 0
2 years ago
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