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2 years ago

ANSWER ASAP PLEASEEE

Mathematics

1 answer:

irga5000 [103]2 years ago

3 0

Answer:

x = 20°

Step-by-step explanation:

Since BD = CD then Δ BCD is isosceles and its base angles are congruent, so

∠ CBD = ∠ BCD = 80° , then

∠ BDC = 180° - (80 + 80)° = 180° - 160° = 20°

∠ ADC = 180° - (80 + 60)° ← sum of angles in triangle

∠ ADC = 180° - 140° = 40° , then

∠ BDC + x = 40°

20° + x = 40° ( subtract 20° from both sides )

x = 20°

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natulia [17]

Answer:

x = 24°

Step-by-step explanation:

the sum of the interior angles in a triangle = 180°

so:

(2x + 5°) + 64° + 3x - 9° = 180°

combine like terms:

5x + 60° = 180°

subtract 60° from each side of the equation:

5x = 120°

x = 24°

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Answer: see work below

Step-by-step explanation:

1) 3(2f + 4)

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3 years ago

Read 2 more answers

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3 years ago

Which points lie on the line whose equation is 8x - 2y + 7 = -9? Select all that apply.

Anestetic [448]

Answer:

A.(-2, 0)

C. (-1.4)

Step-by-step explanation:

we know that

If a point lie on the line, then the point must satisfy the equation of the line (makes the equation true)

we have

$8x-2y+7=-9$

subtract 7 both sides

$8x-2y=-9-7$

$8x-2y=-16$

divide by 2 both sides

$4x-y=-8$

Substitute the value of x and the value of y of each point in the linear equation and analyze the result

<u><em>Verify each point</em></u>

case A) we have

(-2, 0)

For x=-2, y=0

substitute

$4(-2)-(0)=-8$

$-8=-8$ ---> is true

the point lie on the line

case B) we have

(1, 3)

For x=1, y=3

substitute

$4(1)-(3)=-8$

$1=-8$ ---> is not true

the point not lie on the line

case C) we have

(-1, 4)

For x=-1, y=4

substitute

$4(-1)-(4)=-8$

$-8=-8$ ---> is true

the point lie on the line

case D) we have

(1, -4)

For x=1, y=-4

substitute

$4(1)-(-4)=-8$

$8=-8$ ---> is not true

the point not lie on the line

case E) we have

(0, -1)

For x=0, y=-1

substitute

$4(0)-(-1)=-8$

$1=-8$ ---> is not true

the point not lie on the line

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3 years ago