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Dennis_Churaev [7]

2 years ago

13

What is the measure of ∠S?

1 answer:

Yuki888 [10]2 years ago

4 0

$\hat{S}=180°-\hat{T}=180°-90°=90°$

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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 $m\angle UXW=103^\circ$ .

7 0

2 years ago

the ratio of white pens to green pens is 2 to 8. how many green pens are there if there are 18 white pens?

NISA [10]

There are 72 green pens.

There is 9 times as many white pens from 2 to 18, so there has to be 9 times as many green pens because of the ratio. 9 times 8 is 72.

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How many quarts are in 1 gallon

34kurt

There are 4 US quarts in a gallon.

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yulyashka [42]

Answer:A

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3(2x+6)<br> Distributive Property

Ksivusya [100]

Answer:

6x+18

Step-by-step explanation:

Multiply 3 to all the numbers on the parenthesis

Hope this helps!

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