4. Evaluate -8÷2+12×9-4x6\
56÷7x2

98

Step-by-step explanation:

In Questions that involve multiple mathematical operations, we use the BODMAS or PEMDAS.

BODMAS is an acronym and it represents; Bracket, Order, Division, Multiplication, Addition, and Subtraction.

PEMDAS is also an acronym that means the same thing with BODMAS, it represents; Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction

We solve using the order present in BODMAS

-8 ÷ 2 + 12 × 9 - 4 x 6 \  56 ÷ 7 x 2

Solving all Multiplication, we have;

-8 ÷ 2 + 12 × 9 - 4 x 6 \  56 ÷ 7 x 2

-8 ÷ 2 + 108 - 24 \  56 ÷ 14

Solving all Division, we have;

-8 ÷ 2 + 108 - 24 \  56 ÷ 14

-4 + 108 - 24 \  4

-4 + 108 - 6

Solving all Addition, we have;

-4 + 108 - 6

104 - 6 = 98

i hope this is what you were looking for.

see attached graph

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