Is do Today Middle school math

All Multiple choice

Question 1
What does the slope represent in this situation?

Every week he saves $40
Every 4weeks he saves $60
Every week he save $20
Every 4 weeks he saves $20

Question 2
What does the vertical intercept (y intercept) represent in this situation?

He has already saved $40
He has already saved $20
He has saved $40 a week
He will save $40 next week

Question 3
Is the slope increasing or decreasing?

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus