Answer:
(-5, 3)
Step-by-step explanation:
it translated left 2 units => x'= x-2
down 2 units=> y'= y-2
Answer:
A) 37:191
B)191:154
Step-by-step explanation:\
A) Mary's Savings= 185 Rs
Mary's Income= 955 Rs
Ratio = 185:955
= 185/955
=37/191 ( INTO LOWEST TERMS )
=37:191
B) Mary's Income= 955 Rs
Mary's Expenditure= ?? = Income- Saving = 955-185= 770
Ratio= 955:770
= 955/770
= 191/154 ( INTO LOWEST TERMS )
= 191:154
Answer:
<em>A.</em>
<em>The student made an error in step 3 because a is positive in Quadrant IV; therefore, </em>
<em />
Step-by-step explanation:
Given
Required
Where and which error did the student make
Given that the angle is in the 4th quadrant;
The value of r is positive, a is positive but b is negative;
Hence;
Since a belongs to the x axis and b belongs to the y axis;
is calculated as thus
Substitute
Rationalize the denominator
So, from the list of given options;
<em>The student's mistake is that a is positive in quadrant iv and his error is in step 3</em>
Answer:
1) x = 8
2) ∠RPS = 36°
Step-by-step explanation:
<u>GIVEN :-</u>
- ∠QPS = 180°
- ∠QPR = 7x + 88
- ∠RPS = 3x + 12
<u>TO FIND :-</u>
- Value of x
- Measure of ∠RPS
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.
<u>PROCEDURE :-</u>
1)
Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.
⇒ ∠QPR & ∠RPS are linear pair.
⇒ ∠QPR + ∠RPS = 180°
⇒ 7x + 88 + 3x + 12 = 180°
⇒ 10x + 100 = 180
⇒ 10x = 180 - 100 = 80
⇒ x = 80/10 = 8
2)
x = 8. So,
∠RPS = 3×8 + 12 = 24 + 12 = 36°
