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3 years ago

Does anyone minding helping me with exterior angles ? due in 2 days

Mathematics

2 answers:

Darya [45]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ CBD is an exterior angle of the triangle, then

6x = x + 40 + 3x + 10, that is

6x = 4x + 50 ( subtract 4x from both sides )

2x = 50 ( divide both sides by 2 )

x = 25

Thus

∠ CBD = 6x = 6 × 25 = 150°

∠ CBA and ∠ CBD are adjacent angles and supplementary, sum to 180°, then

150° + ∠ CBA = 180° ( subtract 150° from both sides )

∠ CBA = 30°

Goryan [66]3 years ago

5 0

Answer:

x=25

Step-by-step explanation:

(x+40)+(3x+10)=6x

4x+50=6x

50=2x

25=x

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PLEASE HELP!!!!!! The line of symmetry for the quadratic equation y = ax 2 - 8x - 3 is x = 2. What is the value of "a"?

nataly862011 [7]

$y= ax^{2} -8x-3$

1.

the line of symmetry is x=2, means that the x coordinate of the vertex is x=2.

the point x=2 is the midpoint of the roots $x_1$ and $x_2$ .

so
$\frac{x_1+x_2}{2}=2
$
$x_1+x_2=4$

Remark: in the x-axis, if c is the midpoint of a and b, then $c= \frac{a+b}{2}$

2.
since $x_1$ and $x_2$ are roots

$a(x_1)^{2} -8(x_1)-3=0$ and $a(x_2)^{2} -8(x_2)-3=0$

3.
equalizing:

$a(x_1)^{2} -8(x_1)-3=a(x_2)^{2} -8(x_2)-3$

$a(x_1)^{2} -8(x_1)=a(x_2)^{2} -8(x_2)$

$a(x_1)^{2}-a(x_2)^{2} =8(x_1) -8(x_2)$

in the left side factorize a, in the left side factorize 8:

$a[(x_1)^{2}-(x_2)^{2}] =8(x_1 -x_2)$

in the right side use the difference of squares formula:

$a(x_1 -x_2)(x_1 +x_2) =8(x_1 -x_2)$

simplify by $(x_1 -x_2)$

$a(x_1 +x_2) =8$

substitute $(x_1 +x_2)$ with 4:

$a*4 =8$

a=2

Answer: C)2

5 0

4 years ago

What is the area of the polygon

Paul [167]

Split this figure into 3 shapes: 2 triangles and 1 trapezoid

Area of top triangle = 1/2(7)(2) = 7 square units
Area of bottom triangle = 1/2(3)(7) = 10.5 square units
Area of trapezoid = 1/2(3 + 6)(4) = 18 square units

Area of the polygon = 7 + 10.5 + 18 = 35.5 square units

8 0

3 years ago

Read 2 more answers

Find the area of trapezoid. Send a picture so I can understand the work you did.

inn [45]

I think is very complicated the way u set it up maybe try to put a picture for it

3 0

3 years ago

At a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point

forsale [732]

Answer:

35 two pointers, 18 one pointers

Step-by-step explanation:

equations:

x + y = 53

x + 2y = 88

solving them:

y = 35

x = 18

8 0

3 years ago

Which linear function is represented by a graph with a y-intercept of −16 ? y=−16x+1 y=16x−1 y=x−16 y=x+16

Romashka [77]

Answer:

y = x - 16

Step-by-step explanation:

The y-intercept is the value of the function when x = 0.

If f(x) = x - 16, f(0) = 0 - 16 = -16.

A is wrong, because f(0) = -16(0) + 1 = 0 + 1 = 1.

B is wrong, because f(0) = 16(0) + 1 = 0 + 1 = 1.

D is wrong, because f(0) = 0 + 16 = 16.

8 0

4 years ago