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2 years ago

Determine all missing angles below.

Mathematics

1 answer:

jekas [21]2 years ago

7 0

Answer:

a = 60, b = 19, c = 101, d = 79, e = 50

Step-by-step explanation:

Relations that are helpful here are ...

vertical angles are congruent
an exterior angle is equal to the sum of the opposite interior angles
the sum of angles forming a straight angle is 180°
the sum of angles in a triangle is 180°

Using these relations, we can find the unknown measures.

a° = 60° . . . . . these are vertical angles

51° +b° +110° = 180° ⇒ b° = 180° -161° = 19° . . . . straight angle

a° +b° +c° = 180°

c° = 180° -60° -19° = 101° . . . . sum of angles in a triangle

d° = 180° -101° = 79° . . . . . straight angle

e° = c° -51° = 50° . . . . . c° is exterior to the triangle

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Taya2010 [7]

Answer:

a = 1 and b = -12

Step-by-step explanation:

* Lets look to the graph to solve the problem

- f(x) is a rational function with:

# numerator ⇒ x² - 4x + 3

# denominator ⇒ x² + ax + b

- To find the values of a and b lets use the hole and the vertical

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∵ There is a hole at x = 3

- The hole appears when the numerator and the denominator have

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∵ x = 3 ⇒ subtract 3 from both sides

∴ x - 3 = 0

∴ The numerator and the denominator have a factor (x - 3)

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that means the values of x when the denominator = 0

∵ There is a vertical asymptote at x = -4

∵ x = -4 ⇒ add 4 for both sides

∴ x + 4 = 0

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∵ (x - 3)(x + 4) = (x)(x) + (x)(4) + (-3)(x) +(-3)(4)

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3 years ago

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stepan [7]

Answer:

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Step-by-step explanation:

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3 years ago

Look at the image please helppp

balu736 [363]

Answer:

Option A. one rectangle and two triangles

Option E. one triangle and one trapezoid

Step-by-step explanation:

step 1

we know that

The area of the polygon can be decomposed into one rectangle and two triangles

see the attached figure N 1

therefore

Te area of the composite figure is equal to the area of one rectangle plus the area of two triangles

$A=(8)(4)+2[\frac{1}{2}((8)(4)]=32+32=64\ yd^2$

step 2

we know that

The area of the polygon can be decomposed into one triangle and one trapezoid

see the attached figure N 2

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3 years ago