Quotient of x and 9=
And 7 less than from it means= (Answer)
Science quiz has 12 multiple choice questions with four choices for each find the total number of ways to answer the questions
2 answers:
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<u>Number of terms = 48</u>
<u>common difference = 1.5</u>
This question involves the concept of Arithmetic Progression.
- The formula for sum of an arithmetic progression series with first and last term given is;
=
(a + l)
where;
a = first term
l = last term
n = number of terms
- From the given sequence, we see that;
first term; a = 4
last term; l = 76
Sum of A.P; = 1920
- Plugging in relevant values into the sum of an AP formula, we have;
1920 = (4 + 76)
simplifying this gives;
1920 = 40n
n = 1920/40
n = 48
- Formula for nth term of an AP is;
=
+ (n - 1)d
where;
is first term
d is common difference
n is number of term
is the nth term in question
the 48th term is 76
Thus;
76 = 4 + (48 - 1)d
76 - 4 = 47d
72 = 47d
d = 72/47
d ≈ 1.5
Thus;
Number of terms = 48
common difference = 1.5
Read more at; brainly.com/question/16935540
Answer:
x=80 degrees
Step-by-step explanation:
We are given that
ABC is a right triangle
Therefore, angle B=90 degrees
Angle A=a+b=135 degrees
Angle C=c+d=55 degrees
Angle D=x
We have to find the value of x.
We know that
In quadrilateral
Sum of all angles of quadrilateral=360 degree
x=80 degrees