Idon't understand how to solve these problems, someone explain.

Step-by-step explanation:

When two triangles are similar, it means that the ratio of their corresponding sides is equal.

Therefore

96/(6x + 28) = 24/25

Crossmultiplying,

1) 96 × 25 = 24(6x + 28)

2400 = 144x + 672

144x = 2400 - 672 = 1728

x = 1728/144

x = 12

2) angle A and angle D is equal because they are alternate angles.

(2x + 6)/(x + 6) = 10/8

Crossmultiplying

8(2x + 6) = 10(x + 6)

16x + 48 = 10x + 60

16x - 10x = 60 - 48

6x = 12

x = 12/6 = 2

3) both triangles are right angle triangles. All angles are similar in both triangles. It also means that all the sides are similar. Therefore

45/30 = 40/x

Crossmultiplying

45 × x = 30 × 40

45x = 120

x = 120/45 = 26.7

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.