Answer:
<D = 100
<E =30
<F =50
Step-by-step explanation
Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e
<A = <D
<B = <E
<C = <F
Given
<A = 100 then <D = 100
<B = 30°, then <E = 30°
To get <F, we will use the expression
<D+<E+<F = 180 (sum of angles in a triangle is 180°)
100+30+<F = 180
130+<F = 180
<F = 180-130
<F = 50°
Hence the measure of <F is 50°
8/15 x 5/6
•multiply across the numerator and denominator.
= 40/90
• then find a common factor that will go into both the numerator and denominator equally.
Common factor: 5
= 8/18
•there is another common factor, which is 2
Simplified:
=4/9
Answer:
250 litters
Step-by-step explanation:
To solve this question, we first need to know the conversion from cubic meter to liter.
1 cubic meter is equal to 1000 liters.
So, if we have 1/4 cubic meter, we can use a rule of three to find how many liters we will need:
1 m3 -> 1000 L
1/4 m3 -> x L
x * 1 = (1/4) * 1000
x = 1000 / 4 = 250 L
So we need 250 liters of water.
After arranging the data from least to greatest:
Q1: 12.5
Q3: 16
IQR ( Q3-Q1) : 3.5
(1.6666667)x+(.5)=0
1.6666667x=-.5
1.6666667x/1.666667=-.5/1.6666667
x= -.5/1.6666667
x=.3
