Answer:
122*
122 degrees
Step-by-step explanation:
m∠GEF is 13 less than 5 times m∠DEG and m∠DEF = 149*
Solution:
As per given data,
m∠GEF = 5m∠DEG - 13* … (i)
m∠DEF = 149* -> m∠GEF + m∠DEG = 149* .. (ii)
Substituting value of m∠GEF in (ii)
We get,
(5m ∠DEG - 13*) + m∠DEG = 149*
6m ∠DEG - 13* = 149*
6m ∠DEG = 149* + 13* = 162*
m∠DEG = * = 27*
Substituting value of m∠DEG in (i)
We get,
m∠GEF = 5(27*) - 13*
m∠GEF = 135* - 13* = 122*
we have that
*-------------------------*--------------------------------*
E F G
EF=2x-12
FG= 3x-15
EG=23
we know that
EF + FG = EG
so
[2x - 12] + [3x - 15] = 23 simplify
5x - 27 = 23 add 27 to both sides
5x = 50 divide both sides by 5
x = 10
EF=2x-12-------> EF=2*10-12-------> EF=8
FG= 3x-15------> FG=3*10-15------> FG=15
therefore
the answer part a) is
the value of x is 10
the answer part b) is
the value of EF is 8
the answer part c) is
the value of FG is 15
Answer:
Step-by-step explanation:
I wonder if it is the minus that is causing the problem?
Let x = - 5
3*(-5) - 9
-15 - 9
This is a money question. If you are 15 dollars in debt and you spend another 9, where are you? (In the company of the American government. They do this all the time).
- 15 - 9 = - 24
Answer:
-4
Step-by-step explanation:
by finding the exact value.
Answer:
55
Step-by-step explanation:
The n-th term of an arithmetic sequence is given by the formula ...
an = a1 + d(n -1)
where a1 is the first term (5.5) and d is the common difference (0.5).
So, the n-th term is ...
an = 5.5 +0.5(n -1) = 5.0 +0.5n
For n = 100, the term is ...
a100 = 5.0 +0.5(100) = 55
The 100th term of the sequence is 55.
