Answer:
9. n=-15 , 10. f=6, sorry i can't help you more I am just tired and have to get some rest but i hope this helps
Step-by-step explanation:
9. Eight less than 1/3 a number n is -13
so -13 = 1/3n -8
then
-5 = 1/3n
multiply 3 to each side
-15 = n
10. a number f multiplied by -12.3 is -73.8
so -12.3f= -73.8
divide -12.3 on each side
so f=6
The answer is the last one
15 + (3/2)t ≤ 12
7g - 6 = -20
Add 6 to both sides
7g = -14
Divide both sides by 7
g = -2
answer: g = -2
Answer:
EF = 20 cm
Step-by-step explanation:
Here, we want to find the length of EF
To do this, we use the principle of similar triangles
The similar triangles we are considering here will be ;
FEA and FBD
when two triangles are similar, the ratio of their corresponding sides are equal
Let us calculate DC first
we can use Pythagoras’ theorem here and it is that the square of the hypotenuse equals the sum of the square of the two other sides
Using the triangle EDC
15^2 = 12^2 + DC^2
DC^2 = 225-144
DC^2 = 81
DC = 9
So the entire length of BD is 9 + 12 = 21 cm
Thus, we have it that;
Let EF be x
so DF = 15 + x
Hence;
BD/DF = AE/EF
21/15+x = 12/x
21x = 12(15 + x)
21x = 180 + 12x
21x-12x = 180
9x = 180
x = 180/9
x = 20 cm
EF = 20 cm
Answer: <em>(1,5,7,10,11,15)</em>
To get the union of two sets of numbers, all you do is combine the numbers from least to greatest. If a number repeats in the 2 sets, you only put it once.