Answer:
x = - 1
Step-by-step explanation:
Given
9 = - x + 8 ( subtract 8 from both sides )
1 = - x ( multiply both sides by - 1 )
- 1 = x ⇒ x = - 1
Answer:
Step-by-step explanation:
Because vertical angles are always equal, we want to solve 
.
We can add 10 to both sides to get 
.
We can subtract 
from both sides to get 
.
Lastly, we divide both sides by 20 to get 
.
So, 
and we're done!
The check is left as an exercise to the reader.
Answer:
It is A
Step-by-step explanation:
5 and 6 are the only numbers greater than 4 and they are both heads and tails.
The median triangle is a line segment that connects the vertex and the midpoint of the opposite side. Therefore, in the given, we can say that RS = QS
Equating RS and QS, we will find the value of X
RS = QS
5x-11 = 2x+7
5x-2x = 7+11 ⇒ combine like terms
3x = 18 ⇒ divide both sides by 3 to get the x value
x = 6
Find the value of RS and QS, in this, we will show that two are equal
5(6)-11 = 2(6)+7
19 = 19 ⇒ correct
Therefore RQ is the sum of RS and QS or simply twice the length of either segment
RQ = 19 x 2 = 19 + 19 = 38 (D)
Step-by-step explanation:
there are 50 students and 5 prizes (1 + 1 + 3).
so, already in natural language we would say "there is 1 prize for every 10 students".
formally, remember the rule of probability : desired outcomes over total possible outcomes.
this is here
5/50 = 1/10 = 0.1
your can see it also this way :
if there was only 1 prize, each student would have a chance of 1/50 of winning.
now there are 5 prizes, which gives everybody 5 times the chance of winning. which is then 5×1/50 = 5/50 = 0.1
