Answer:
8.
10x-1=14x-37[corresponding side of congruent triangle are equal]
37-1=14x-10x
36=4x
x=36/4
x=9
9.
6x+13=16x-7[corresponding angle of congruent triangle are equal]
13+7=16x-6x
10x=20
x=20/10
x=2
10.
8x-27=4x+33
8x-4x=33+27
4x=60
x=60/4
x=15
PQ=8×15-27=93
11.3x+5=12x-13
13+5=12x-3x
9x=18
x=18/9=2
now
<BDC=12×2-13=11
12.
5x-8=9x-28
28-8=9x-5x
4x=20
x=20/4
x=5
now
<YWX=5x-8+9x-28=5×5-8+9×5-28=34
13..5x-4=2x+5
5x-2x=5+4
3x=9
x=9/3=3
now
ML=5×3-4=11
ML=11
Answer:
x=-4.5 or x=-2/9(fraction)
Step-by-step explanation:
3x^2-6x-2=0 simplify so add 3 minus 6 then do ^2
-9x-2=0 Add 2 on both sides
-9x=2 divide by -9 on both sides
x=-4.5 or x=-2/9
The freight train speed = 22 mph
The passenger train speed = 28 mph
Step-by-step explanation:
Assign the speed of the freight train as; <em>x </em>mph
Since the passenger train travels 6 mph faster than the freight train, its speed will be; (<em>x + 6</em>) mph
In 2 hours, the freight and passenger trains will have traveled (distance = speed * time);
2<em>x</em> and 2(<em>x + 6</em>) miles respectively
Both add up to 100 miles. Therefore;
2x + 2(x +6) = 100
4x + 12 = 100
4x = 88
x = 22
x + 6 = 28
The freight train speed = 22 mph
The passenger train speed = 28 mph
Answer:
A ) Near equator
B ) Near the poles
C ) Areas where solar radiations is most direct
D ) Only in the no
The expanded form for 15,409 is 10,000 + 5,000 + 400 + 9