Solve each inequality and graph its solution 1). -5 + 5 ( 5 - 2m ) ≥ 60
2). 5 ( 4n + 5 ) - 4 ≤ 101

1: m < -4 2:n < 4

Step-by-step explanation:

−5+5(5−2m)>60

Step 1: Simplify both sides of the inequality.

−10m+20>60

Step 2: Subtract 20 from both sides.

−10m+20−20>60−20

−10m>40

Step 3: Divide both sides by -10.

−10m

−10

>

40

−10

m<−4

Let's solve your inequality step-by-step.

5(4n+5)−4<101

Step 1: Simplify both sides of the inequality.

20n+21<101

Step 2: Subtract 21 from both sides.

20n+21−21<101−21

20n<80

Step 3: Divide both sides by 20.

20n

20

<

80

20

n<4

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it