<u>Answer:</u>
9. x = 12
10. x = 31
<u>Step-by-step explanation:</u>
9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.
7x - 20 = 4x + 16
Solve
3x - 20 = 16
3x = 36
x = 12
Therefore x is equal to 12
<u>Check:</u>
4(12) + 16
= 64
7(12) - 20
= 64
10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:
x + 2x + 25 + 2x = 180
Combine like terms
5x + 25 = 180
Solve
5x = 155
x = 31
Therefore, x = 31.
<u>Check:</u>
31 + 2(31) + 25 + 2(31) = 180
31 + 62 + 25 + 62 = 180
180 = 180
<em>I hope this helps!!</em>
<em>- Kay :)</em>
<em />
Answer:
1. Anne = 21 Bobby=35, 450, 70+40+30=140
Step-by-step explanation:
- 1 21÷3=7
- 7×5=35
- 7-2=250
- 5=250
- 1=50
- 2×50+7×50=100+350=450
- 450
- we can see that it's multiplied by 10, so 70+40+30=140
Work backwards with pythagoras' theorem:
c^2=a^2+b^2
Here, a and b both equal to x. Therefore, you can write this as 8^2=2x^2. So 64=2x^2. Sqrt on both sides to give you 8=2x, hence x=4. However I must warn you that this working out may have a flaw, as I found that x actually equals to 5.66
So first find out how many can be done in 1 minute.
In an equation it would be 3x=42
Divide by 3
x=14
So 14 pushups can be done in 1 minute (congratulations to this person I can barely do one haha)
So now you multiply what you can do in 1 minute by 5 minutes.
14x5= 70 pushups
4 because a 45-45-90 triangle has a side ratio of 1-1-sqrt2 with sqrt2 being the hypotenuse
