All categories

3 years ago

What are the values of x and y?

Mathematics

1 answer:

Ede4ka [16]3 years ago

3 0

Step-by-step explanation:

In figure:

∠PRT+∠RTP+∠TPR=180

(angle sum property of triangle)

⇒x+(180

−∠RTQ)+60

=180

(linear pair)

⇒x+(180

−97

)+60

=180

⇒x=31

Now, ∠PRT+∠TRQ+∠QRS=180

(angle of straight line)

⇒x+48

+y=180

⇒31

+48

+y=180

⇒y=101

You might be interested in

Adrianna can read 7 pages in 10 minutes. At this rate,

Andrews [41]

Answer:

17.5 page in 25 minutes

Step-by-step explanation:

We can use ratios to solve

7 pages x pages

------------- = ----------------

10 minutes 25 minutes

7 * 25 = 10 x

175 = 10x

Divide by 10

175/10 = 10x/10

17.5 =x

17.5 page in 25 minutes

8 0

3 years ago

Read 2 more answers

Xavier is a salesperson who is paid a fixed amount of $455 per week. He also earns a commission of 3% on the sales he makes. If

melomori [17]

Xavier wants to earn more then 575 dollars a week, he will have to sale x<3,600 a week . So the answer is C

5 0

3 years ago

Find the equation of the line that

ad-work [718]

Answer:

Step-by-step explanation:

y - 5 = 1/2(x - 4)

y - 5 = 1/2x - 2

y = 1/2x + 3

5 0

4 years ago

How to solve 2x+4 = 6x - 10

mars1129 [50]

Answer:

Step-by-step explanation:

2x + 4 = 6x - 10

Minus 2x on both sides

4 = 4x - 10

Add 10 on both sides

14 = 4x

Divide by 4 on both sides

14/4 = x

x = 14/4

Simplify fraction

x = 7/2 or x = 3 1/2

3 0

4 years ago

Select all of the expressions that are undefined. csc(0) sec(0) csc(pi/2) sec(pi/2) csc(pi) sec(pi)

Softa [21]

Answer:

The answer is "undefined, 1, undefined, undefined, and -1".

Step-by-step explanation:

Finding expression:

$i) \csc(0) = \ cosec 0^{\circ} \\\\= \frac{1}{sin 0^{\circ}}\\\\= \frac{1}{0} \ \\\\$ undefined

$ii) \csc (\frac{\pi}{2})\\\\= cosec \frac{\pi}{2}\\\\= cosec \ 90^{\circ}\\\\= \frac{1}{\sin \ 90^{\circ}}\\\\= \frac{1}{1} \\\\=1\\$

$iii) \sec \frac{\pi}{2} \\\\= sec \ 90^{\circ}\\\\= \frac{1}{\cos 90^{\circ}}\\\\= \frac{1}{0} \\$ undefined

$iv) \csc(pi)\\\\= \ cosec (180^{\circ})\\\\= \frac{1}{\sin 180^{\circ}}\\\\= \frac{1}{0}\\$ undefined

$v) sec (\pi) \\\\=\frac{1}{\cos 180^{\circ}}\\\\= \frac{1}{-1}\\\\= -1$

7 0

3 years ago