<h2>○=> <u>Correct option</u> :</h2><h2>
</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>
Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.
Which means :
Let us solve that equation to find the value of p and the two angles :
Thus, value of p = 43
Measure of angle (p+7)° :
Measure of angle (3p+1)° :
Thus, the measure of the larger angle = 130°
Therefore, the correct option is <em>(a) 130</em>
Answer:
Fourth term: 
= 
= 
Fifth term: 
= 
= 1
Sixth term: 
Step-by-step explanation:
The geometric progression is:
The first term, a, is 9
To find the common ratio, r, all we have to do is divide a term by its preceding term.
Let us divide the second term by the first:
That is the common ratio.
Geometric progression is given generally as:
where a = first term
r = common ratio
= nth term
We need to find the 4th, 5th and 6th terms.
Fourth term: = =
Fifth term: = = 1
Sixth term:
Answer:
x = -6
y = 8
Step-by-step explanation:
Using substitution method.
2x + y = -4 -----------(I)
y = - 4 - 2x -----------(II)
5x + 3y = -6 -------------------(III)
Substitute y = -4 -2x in equation (III)
5x + 3(-4-2x) = - 6
5x - 12 - 6x = -6
5x - 6x - 12 = -6
Combine like terms
-x - 12 = -6 {Add 12 to both sides}
-x = -6 + 12
-x = 6 {Multiply by (-1)}
x = -6
Substitute x = -6 in equation (II)
y = - 4 - 2*(-6)
= -4 + 12
y = 8
