Answer:
6x = -60
Step-by-step explanation:
-3x - 7 = 23
-3x = 30
x = -10
6(-10) = -60
Answer:
2z+6 or 2(z+3) are the equivalent expressions
Step-by-step explanation:
z+(z+6)
opening the brackets
z+z+6
=2z+6
or if we take 2 as common the answer is
=2(z+3)
i hope this will help you :)
Answer:
47.5%
Step-by-step explanation:
You have to first subtract 80 and 42 to find the decrease first. This is 38. Now, you have to divide this by the original number which is 80. So 38 divided by 80 is 0.475.
Now multiply this by 100.
You can easily move the decimal point to the right.
So you would get 47.5%
Hope this helped!
Answer:
<h2>AAA postulate.</h2>
Step-by-step explanation:
Givens
- Angles KOM and LNM are congruent, because both are right.
- Angle LNM is common to both triangles.
If two internal angles of two triangles are congruent, then the third angle is also congruent.
Therefore, the similarity is proven by AAA postulate, which states that if we have three corresponding angles congruent, then those triangles are similar.
Remember that similarity is about proportion between sides and congruence between angles.
Answer: -209
Step-by-step explanation:
Formula for arithmetic progression
= a + (n - 1)d
Since a10 = 1 and d = -6
a10 = a + 9d
a + 9(-6) = 1
a - 54 = 1
a = 1 + 54
a = 55
Therefore, 45th term = a + (n - 1)d
= a + (45 - 1)d
= a + 44d
= 55 + 44(-6)
= 55 - 264
= -209
