OK, so;
BDE and BED are congruent because the opposite sides are both congruent
To find BDE and BED you must subtract 66 degrees from 180 degrees.
You are then left with 114 as the sum of both the angles you need to find
Since they are congruent, all you need to do is divide by two
114/2=57 degrees for both BDE (a) and BED(b)
Now for angle A and C;
This is easy because they are both congruent to the first two!
So basically, all of question four is "57 degrees"
Sadly for number 5 i did not understand the question :"(
For 6 tho;
AC is parallel to DE because angle C is congruent to angle BED
All the others can be ruled out
For 7;
BD is half the length of AE, so:
4x+20=2(3x+5)
4x+20=6x+10
20=2x+10
10=2x
x=5
This means BD is 20 bc
3(5)+5
15+5
20
And AE is 40 bc
20X2=40
or...
4(5)+20
Answer:
143
Step-by-step explanation:
x + 17 = 37
180 - 37 = 143
5/(x^2-4)+2/x=2/(x-2) if we factor the leading denominator, it is a "difference of squares" of the form (a^2-b^2) which always factors to (a-b)(a+b) so we have:
5/((x-2)(x+2))+2/x=2/(x-2), to add/subtract fractions we need a common denominator, so in this case we need a common denominator of x(x-2)(x+2) so
5(x)+2(x+2)(x-2)=2(x)(x+2), perform indicated operations...
5x+2(x^2-4)=2x(x+2)
5x+2x^2-8=2x^2+4x subtract 2x from both sides
5x-8=4x subtract 4x from both sides
x-8=0 add 8 to both sides
x=8
check...
5/(x^2-4)+2/x=2/(x-2) when x=8 so
5/(64-4)+2/8=2/(8-2)
5/60+1/4=2/6
5/60+15/60=20/60
20/60=20/60
If each lap in a pool is 100 meters long,how many laps equal one mile
Round to the nearest tenth.(Hint:1 foot=0.3048 meter)
1 mile = 5280 ft
lets do a ratio: 1ft/.3034m = x ft/100m
the ft and meters sybols cancel, so 1/.3048 =x/100
so 100/.3038 = x = 329.164
so there are 329.164 ft for every 100 meters
to find the number of laps to get to a mile which is 5280, do another ratio
329.164ft/100 m =5280 ft/xm
the left side reduces to 3.29164 =5280/x
you can compute this and see that 5280/3.29164 = 1604.064 meters
1604.064 meters *1 lap / 100m = 16.04064 laps are required to make a mile
