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brilliants [131]
3 years ago
11

'find the equation of the line shown':

Mathematics
1 answer:
insens350 [35]3 years ago
4 0

Answer:

y = x + 6

Step-by-step explanation:

The y-intercept is (0, 6).  This is where the line crosses the y-axis.

The slope is 4/4, or 1:  m = 1

The equation of the line is therefore y = x + 6

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Find the measures of each angle in the inscribed quadrilateral.
Marat540 [252]

Answer:

m∠P = 55° , m∠R = 125° , m∠Q = 110° , m∠S = 70°

Step-by-step explanation:

* Lets study the figure

- A circle and inscribed quadrilateral PQRS

- The four vertices of the quadrilateral lie on the circumference

 of the circle

∴ PQRS is a cyclic quadrilateral

* Lets revise the properties of the cyclic quadrilateral

- Each two opposite angles are supplementary, that means

 the sum of each two opposite angles = 180°

- The measure of the exterior angle = the measure of the

  opposite interior angle

* Lets solve the problem

∵ PQRS is a cyclic quadrilateral

∴ m∠P + m∠R = 180° ⇒ opposite angles

∵ m∠P = 5y + 30

∵ m∠R = 15y + 50

∴ 5y + 30 + 15y + 50 = 180 ⇒ add the like terms

∴ 20y + 80 = 180 ⇒ subtract 80 from both sides

∴ 20y = 100 ⇒ divide both sides by 20

∴ y = 5

* Now lets substitute the value of y in each angle to find

 their measures

∵ m∠P = 5y + 30

∴ m∠P = 5(5) + 30 = 25 + 30 = 55°

∵ m∠R = 15y + 50

∴ m∠R = 15(5) + 50 = 75 + 50 = 125°

∵ m∠Q = y² + 85

∴ m∠Q = 5² + 85 = 25 + 85 = 110°

∵ ∠S is opposite to ∠Q

∴ m∠S + m∠Q = 180° ⇒ opposite angles in the cyclic quadrilateral

∴ m∠S + 110 = 180 ⇒ subtract 110 from the both sides

∴ m∠S = 70°

* The measures of the angles are

  m∠P = 55° , m∠R = 125° , m∠Q = 110° , m∠S = 70°

8 0
3 years ago
Which of the following expressions “ the sum of n and the sum of n and 6 ?
faltersainse [42]

what do u mean by that

3 0
3 years ago
If the hypotenuse of my triangle 1ft, and the base of my triangle is also 1ft, is it possible for me to find the height? If so,
Elena L [17]

Answer:

Nitrous Oxide

----------. --------

<h2>N. O</h2>

___________

Because ,the resulting Height would be Zero which won't be able to form a ∆ .

6 0
3 years ago
Y + 9 * 3 / 4 <br> 3/4 is the fraction
Andrei [34K]

Answer:

y+6.75

Step-by-step explanation:

Answer: y+6.75

Follow Order of Operations

y+9*3/4

9*3/4 = 6.75

y+6.75

4 0
2 years ago
Susan is buying three different colors of tiles for her kitchen floor. She is buying 25 more red tiles than beige tiles, and thr
Vanyuwa [196]
Let us assume that the number of beige tiles bought by Susan = B
Number of red tiles bought by Susan = R
Number of navy-blue tiles bought by Susan =N
Number of tiles bought altogether = 435
Now from the given question we know:
Number of red tiles bought is 25 more than the number of beige tiles.
So
 R = 25 + B
Number of navy blue tiles bought is 3 times that of the number of beige tile bought
So
N = 3B
We already know that the total number of tiles bought is 435
Hence
B + R + N = 435
B + (25 + B) + 3B = 435
5B + 25 = 435
5B = 435 -25
5B = 410
B = 82
R = 25 + B
   = 25 + 82
   = 107
N = 3B
   = 3 * 82
   = 246
So the number of Beige tiles  bought by Susan = 82
The number of red tiles bought by Susan = 107
The number of navy-blue tiles bought by Susan = 246
5 0
3 years ago
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