Answer:
x = 101°
y = 46°
Step-by-step explanation:
The question tells us that ΔSTU is similar to ΔSVW. This means that the corresponding angles in each triangle are the same. We can write that like this:
∠UST = ∠WSV
∠SUT = ∠W
∠STU = ∠V
We can then fill in the angles we know into these statements.
33° = 33°
101° = x
y = 46°
Now we know the values of x and y.
x = 101°
y = 46°
Answer:
y=3 and x=0
Step-by-step explanation:
3x−3y=−9. i'm going to solve for x.
3x−3y<em>+3y</em>=−9<em>+3y</em>
3x=3y−9
3x/3=(3y-9)/3 to isolate x we have to divide everything by 3
x=y−3
so now that we have x we can substitute it in 4x+4y=12
4(y-3)+4y=12
4y-12+4y=12
8y-12=12
8y-12<em>+12</em>=12<em>+12</em>
8y=24
8y/8=24/8
y=3
we have y which equals 3, so now we can substitute it into any equation so solve for x again.
3x – 3y = -9
3x-3(3)=-9
3x-9=-9
3x-9+9=-9+9
3x=0
3x/3=0/3
x=0
so, final answers are y=3 and x=0
checking our work:
3(0)-3(3)=-9
0-9=-9
-9=-9 true
4(0)+4(3)=12
0+12=12
12=12 true
Let the speed of one rider = x
The speed of the second rider would e 2x ( twice as fast)
The total speed of the two riders would be x + 2x = 3x
Speed = Distance / time
Using the numbers:
3x = 72/3
Simplify:
3x = 24
Divide both sides by 3:
x = 8
The speed of one rider is 8 miles per hour
The speed of the second rider is 2(8) = 16 miles per hour.
Answer: She has to score a minimum of 92 marks to take her average to 80
Step-by-step explanation:
Let the equation be
Three months total = 76 x 3 = 228
(x + 228) / 4 = 80
x + 228 = 80 x 4
x = 320 - 228
x = 92
Note that a^-3 = 1/a^3
9^3 = 729
1/9^3 = 1/729
Solution: 1/729
