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topjm [15]
3 years ago
15

In the diagram below, O is circumscribed about quadrilateral ABCD. what is the value of x?​

Mathematics
2 answers:
cestrela7 [59]3 years ago
7 0

Answer:

104

Step-by-step explanation:

cuz it iz

netineya [11]3 years ago
6 0

Answer:

(D)x=104^{\circ}

Step-by-step explanation:

Given: It is given that circle O is circumscribed about quadrilateral ABCD such that ∠ABC=91° and ∠ADC=x-15°.

To find: the value of x.

Solution: It is given that circle O is circumscribed about quadrilateral ABCD such that ∠ABC=91° and ∠ADC=x-15°.

We know that the sum of opposite angles of the cyclic quadrilateral is 180°, therefore

{\angle}ABC+{\angle}ADC=180^{\circ}

Substituting the given values, we have

91^{\circ}+x-15^{\circ}=180^{\circ}

x+76^{\circ}=180^{\circ}

x=104^{\circ}

thus, the value of x is 104^{\circ}.

Hence, option D is correct.

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Dmitrij [34]
The answer is the second option, option B, which is: B. <span>W'(2,8), X'(2,2), Y'(8,2)
</span> The explanation is shown below:
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5 0
3 years ago
What is the measure of E
Verizon [17]

Answer:

The measure of angle E is:

m∠E = 80°

Step-by-step explanation:

Given

The triangle ΔDEF

It is stated that DE=EF and G is the midpoint of EF.

It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.

Given

m∠GDE = 10°

As the right-angle triangle, ΔDEG lies at the right-angle G.

So, m∠DGE = 90°

as

m∠GDE = 10°

m∠DGE = 90°

m∠E = ?

We know that the sum of angles of a triangle is 180°.

m∠GDE + m∠DGE  + m∠E = 180°

10° + 90° + m∠E = 180°

100 + m∠E = 180°

m∠E = 180° - 100

m∠E = 80°

Therefore,

The measure of angle E is: m∠E = 80°

3 0
3 years ago
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erica [24]

Answer:

C

Step-by-step explanation:

A constant correlation is essentially when the points on a scatter plot do not show any type of pattern or correlation; the points are literally scattered rather randomly, which would cause the graph to neither increase nor decrease.

Meanwhile, a positive correlation means that the points on the plot follow a line with a positive slope. In other words, it increases to the right.

Thus, the answer is C.

Hope this helps!

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