Answer:
Step-by-step explanation:
Comparing triangle EGD and triangle ELA
AL/DG = EL/EG
AL = x, DG = 3, EL = 5+5+5+5= 20
EG = 5
x/3 = 20/5
x/3 = 4
x = 3×4
x = 12
9/10 - 11/12
Multiply both sides to find a common denominator in this case it’s 60
54/60 - 55/60
Then the answer would be -1/60
I think the word is "each". im not very sure.
Answer: 10 units.
Step-by-step explanation:
The equation of the circle in Center-radius form is:

Where the center is (h,k) and "r" is the radius.
The equation of the circle given is:

You can observe that is written in Center-radius form.
Then, you can identify that:

Knowing this, you need to solve for "r" to find the lenght of the radius.
This is:

Therefore, the lenght of the radius is 10 units.
Answer:
Hope it helps u
Step-by-step explanation:
As we know that ,
Mean = sum of the terms/ numbers of terms
But here grouped data is given so , we use the formula
Mean=∑[f. m]/ ∑f
where f is frequency and m is mid point of each height ,
Now first we have to find the mid point of each interval, where
midpoint of each interval = (lower boundary + upper boundary)/2
m1=(150+154)/2 = 152
m2=(155+159)/2= 157,now found other by same formula, for each interval
m3= 162
m4= 167
m5=172 Now we find the midpoint of each interval ,so now
∑[f. m]=f1*m1+f2*m2+f3*m3+f4*m4+f5*m5
now putting the values of each frequency for given interval and midpoint of each interval we will get,
∑[f. m]=456+942+1296+167*x+344 = 167*x+3038
Now find,
∑f=f1+f2+f3+f4+f5
∑f=19+x
Now we have,
∑[f. m]=167*x+3038
∑f=19+x
also given mean height=161.6 cm
putt these values in above equation we get,
161.6=
now solve this ,
161.6(19+x)=167*x+3038
3070.4+161.6*x=167*x+3038
3070.4-3038=167*x-161.6*x
32.4=5.4*x
x=32.4/5.4
<h2>
x=6 Ans........</h2>