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iragen [17]
4 years ago
10

A quadrilateral PQRS is inscribed in a circle, as shown below:

Mathematics
1 answer:
sleet_krkn [62]4 years ago
6 0

Answer:

The correct option is 4. The measure of arc PQR is 220°.

Step-by-step explanation:

Given information: PQRS is a quadrilateral and the measure of angle PQR is 70 degrees.

According to the central angle theorem, that the angle inscribed on the circle is always half the measure of the central angle.

Using central angle theorem,

\angle POR=2\times \angle PQR

\angle POR=2\times 70

\angle POR=140

The measure of of arc PQR is

Are(PQR)=360-140=220^{\circ}

Therefore the measure of arc PQR is 220°. Option 4 is correct.

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Enter a range of values of x
igomit [66]

Answer:

-5.

Step-by-step explanation:

We know that if two corresponding sides of two triangles are equal, then third sides of the triangles depend on angle between equal sides.

Angle opposite to larger side is larger.

Since, 14 < 15, therefore

2x+10

2x

2x

x          ...(1)

We know that, angle can not not negative.

2x+10>0

2x>-10

x>-5        ...(2)

From (1) and (2), we get

-5

Therefore, the range of values of x is -5.

4 0
3 years ago
Jerome takes a math course and a science course for summer school. For every 3 hours Jerome spends studying math, he studies sci
gulaghasi [49]

Answer:

he studies his math for 15 hours

Step-by-step explanation:

4 0
3 years ago
144x^{2}[/tex]-169<img src="https://tex.z-dn.net/?f=-y%5E%7B2%7D" id="TexFormula1" title="-y^{2}" alt="-y^{2}" align="absmiddle"
Ainat [17]

Answer:

144x^2−y^2−169 because ther are no like terms

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A triangle has side lengths of 15 10 and 7 is it a right triangle
lions [1.4K]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Given:

The sides of the triangle =  15 10 and 7

To Find:

Whether the triangle is a right triangle = ?

Solution:

According to Pythagorean theorem , In an right triangle the the sum of the squares of the two smaller sides must equal to the square of the larger side

a^2 +b^2 =c^2\\

where

a and b are the smaller sides

c is the larger side

Now from the given data, lets assume

a = 10 and b =7 and c =15

Substituting in the above equation we get,

(10)^2 +(7)^2 = (15)^2

100 + 49 = 225

149 = 225

149 \neq 225

So, the given triangle is not a right triangle.

7 0
3 years ago
Two quantities, x and y, are directly proportional. If x is halved, what happens to y?
Contact [7]
Y should also be halved.

For example, if x=4 and y=2, x=2y.
If x is halved for x=2, you get 2=2y, or y=1, which is still one half of x, so the proportion remains the same.
5 0
3 years ago
Read 2 more answers
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