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2 years ago

What is the value of x? Enter your answer in the box.

Mathematics

1 answer:

e-lub [12.9K]2 years ago

7 0

You need to provide a picture because I cannot see the problem.

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In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.

bezimeni [28]

Given:

In the circle, $m(\overarc{VUX})=152^\circ$ and $m(\angle MUV)=77^\circ$ .

To find:

The following measures:

(a) $m\angle VUX$

(b) $m\angle UXW$

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

$m(VUX)=2\times m\angle VWX$

$152^\circ=2\times m\angle VWX$

$\dfrac{152^\circ}{2}=m\angle VWX$

$76^\circ=m\angle VWX$

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

$m\angle VUX+m\angle VWX=180^\circ$ [Opposite angles of a cyclic quadrilateral]

$m\angle VUX+76^\circ=180^\circ$

$m\angle VUX=180^\circ-76^\circ$

$m\angle VUX=104^\circ$

Now,

$m\angle UXW+m\angle UVW=180^\circ$ [Opposite angles of a cyclic quadrilateral]

$m\angle UXW+77^\circ =180^\circ$

$m\angle UXW=180^\circ-77^\circ$

$m\angle UXW=103^\circ$

Therefore, $m\angle VUX=104^\circ$ and $m\angle UXW=103^\circ$ .

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2 years ago

Is (2, 10) a solution to this system of inequalities?<br> y y > 4x + 1<br> yes<br> no

velikii [3]

Answer:

yes

Step-by-step explanation:

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1 year ago

Sonia had $37 in her checking account. She then spent $52 on school supplies. What is the current balance of her checking accoun

stiv31 [10]

Answer:

-15

Step-by-step explanation:

37-52

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3 years ago

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If x= 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the

denpristay [2]

Answer:

discriminant is zero (0)

Step-by-step explanation:

Actually, you have a double root here: {6, 6}: "two real, equal roots." That tells us immediately that the value of the discriminant was zero (0).

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2 years ago

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What is 25000 x 25000?

Illusion [34]

Answer:

625,000,000

Step-by-step explanation:

25000 x 25000

625,000,000

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2 years ago

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