How do solve angle PRQ and angle QRS

Mathematics

1 answer:

ruslelena [56]3 years ago

8 0

PRQ and QRS should add to PRS

(3x-8)+(2x+6)=98
5x-2=98
5x=100
x=20

Plug 20 into both expressions:
3(20)-8
60-8
52 degrees= PRQ. <===========

2(20)+6
40+6
46 degrees= QRS. <==========

You might be interested in

Factor 4x 2 + 12x + 5 . (2x + 5)(2x + 1)

swat32

$4x^2 + 12x + 5=4x^2+2x+10x+5 \\ \\ =2x(2x+1)+5(2x+1)=(2x+5)(2x+1) \\ \\ \therefore4x^2+12x+5=(2x+5)(2x+1)$

8 0

3 years ago

Solve this x²+8/10 -x = 10/2

AysviL [449]

$x^2+\frac{8}{10}-x=\frac{10}{2}\\
x^2-x+\frac{8}{10}-\frac{10}{2}=0\\
x^2-x+\frac{8}{10}-\frac{50}{10}=0\\
x^2-x-\frac{42}{10}=0\\
x^2-x+\frac{1}{4}-\frac{1}{4}-\frac{42}{10}=0\\
(x-\frac{1}{2})^2=\frac{1}{4}+\frac{42}{10}\\
(x-\frac{1}{2})^2=\frac{5}{20}+\frac{84}{20}\\
(x-\frac{1}{2})^2=\frac{89}{20}\\
x-\frac{1}{2}=\sqrt{\frac{89}{20}} \vee x-\frac{1}{2}=-\sqrt{\frac{89}{20}}\\
x=\frac{1}{2}+\frac{\sqrt{89}}{\sqrt{20}} \vee x=\frac{1}{2}-\frac{\sqrt{89}}{\sqrt{20}}\\


$
$x=\frac{1}{2}+\frac{\sqrt{89}}{2\sqrt{5}} \vee x=\frac{1}{2}-\frac{\sqrt{89}}{2\sqrt5}}\\
x=\frac{1}{2}+\frac{\sqrt{445}}{10} \vee x=\frac{1}{2}-\frac{\sqrt{445}}{10}}\\
x=\frac{5+\sqrt{445}}{10} \vee x=\frac{5-\sqrt{445}}{10}}\\$

7 0

3 years ago

Ahmed is working at a restaurant . His boss pays him $15.50 per tour and promises a raise of $1.25 per hour every 6 months. Whic

aksik [14]

Answer:

Step-by-step explanation:

you have to make chart. You have to add 1.25 to your total every 6 months.

Start $15.50
6 months $15.75
12 months $18.00
18 months. $19.25

5 0

3 years ago

Can you please help me

mylen [45]

Answer:

Step-by-step explanation:

please remember when dividing letters or numbers of the same base then their exponents will be minused.

4 0

3 years ago

Piano lessons cost $30 per lesson. Choose the graph that represents the total cost for x number of lessons. ty 150 1501 ofy y 디

Angelina_Jolie [31]

Since we are asked for tge graph that represent the total cost for the x numbers of lesson, it will be helpful to illustrate it first this way

for each lesson it will cost $30 dollars

1 lesson $30

2 lessons $60

3 lessons $90

4 lessons $120

5 lessons $150

So from this set of numbers , it is apparent that the grqph in letter c represents the total costs for x numbers of lessonsseethati

3 0

1 year ago