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3 years ago

The two Marked angles are congruent yes or no will mark brainest

Mathematics

1 answer:

kompoz [17]3 years ago

3 0

Answer:

true

Step-by-step explanation:

if the vertical lines are not parallel, then the corresponding angles are not congruent.

8x + 2 = 14x - 76

8x - 14x = -76 -2

-6x = -78

x = 13

8(13) + 2 = 14(13) - 76

106 = 106---- equal

the vertical lines is a bit confusing.... they looks like not a parallel lines

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Help with those three please!!

Scilla [17]

Answer:

Part 1) Option A. The axis of symmetry is x=4

Part 2) Option C. minimum

Part 3) Option A. (4,-4)

Part 4) Option B. (2,0) and (6,0)

Step-by-step explanation:

we have

$f(x)=x^{2}-8x+12$

Part 1) What is the axis of symmetry of the parabola described by the equation above?

we know that

The equation above is a vertical parabola open upward

The axis of symmetry is the x-coordinate of the vertex

Find the vertex of the parabola (convert the equation in vertex form)

$f(x)-12=x^{2}-8x$

$f(x)-12+16=x^{2}-8x+16$

$f(x)+4=x^{2}-8x+16$

$f(x)+4=(x-4)^{2}$

$f(x)=(x-4)^{2}-4$ ----> equation in vertex form

The vertex of the parabola is (4,-4)

The axis of symmetry is x=4

Part 2) The vertex of the equation above is also

we know that

The equation above is a vertical parabola open upward

therefore

The vertex is a minimum

Part 3) What is the vertex of the parabola described by the equation above

we know that

The equation of the parabola into vertex form is equal to

$f(x)=(x-4)^{2}-4$

therefore

The vertex of the parabola is (4,-4)

Part 4) What are the x-intercepts of the parabola described by the equation above

we know that

The x-intercepts are the values of x when the value of y is equal to zero

$f(x)+4=(x-4)^{2}$

f)x)=0

$4=(x-4)^{2}$

take square root both sides

$(x-4)=(+/-)2$

$x=4(+/-)2$

$x=4(+)2=6$

$x=4(-)2=2$

therefore

The x-intercepts are

(2,0) and (6,0)

7 0

3 years ago

Please need help ASAP!!

katrin [286]

Answer:

2x+30 = 90

Step-by-step explanation:

The two angles are complementary so they add to 90 degrees

2x+30 = 90

4 0

3 years ago

Read 2 more answers

Which system of linear inequalities is represented by

Juli2301 [7.4K]

Answer:

I think it is b

3 0

3 years ago

27/64A bottled water company has designed a new cup for its dispenser. The cup will be a right circular cone with a three-inch r

tankabanditka [31]

Answer:

9.86 inches

Step-by-step explanation:

Given:

The cup will be a right circular cone with:-

Radius, r = 3 inches

Volume of cone = 93 cubic inches

Height of the cup, h = ?

Solution:

<u>By using :-</u>

<u /> $Volume\ of\ right\ circular\ cone=\frac{1}{3} \pi r^{2} h$

$93 =\frac{1}{3} \times\frac{22}{7} \times3\times3\times h\\ \\ 93=\frac{198}{21} h\\ \\ 93=9.43h$

By dividing both sides by 9.43

$\frac{93}{9.43} =\frac{9.43h}{9.43} \\ \\ 9.86\ inches=h$

Thus, the cup need to be 9.86 inches taller to hold 93 cubic inches of water.

6 0

4 years ago

How do i graph the following X=4

hichkok12 [17]

Answer:

Impossible you can’t

Step-by-step explanation:

8 0

3 years ago

The two Marked angles are congruent yes or no will mark brainest​

The two Marked angles are congruent yes or no will mark brainest