Answer:
<h2>Multiplication.</h2>
Step-by-step explanation:
The given expression is

For
, we have

Notice that the first operation we need to do is multiplication, because that's the right order of operations when we solve these kind of expressions.

Then, we subtract

Now, we divide

Finally, we sum

Therefore, the right answer is multiplication.
Answer:
Given : ∠ABC is a right angle, ∠D BC is a straight angle.
To prove :∠AB D is a right angle.
Proof: ∠ ABC = 90°[ Given]
∠ D BC= 180° [ D BC is a straight line]
now, ∠ AB D and ∠ AB C are adjacent angles forming linear pair.
∠ AB D +∠ AB C =180° [By linear pair axiom]
⇒∠ AB D + 90= 180°
⇒∠ AB D=180°-90°
⇒∠ AB D=90°
∠AB D is a right angle
Hence proved.
Answer:
x = 78
Step-by-step explanation:
Look at Triangle DBH. Two of its angles are known. Let y = <DHB
47 + 31 + y = 180 All triangles have 180 degrees. Combine the left.
78 + y = 180 Subtract 78 from both sides.
78-78+y = 180-78 Combine
y = 102
Notice that y + x = 180 They form a straight line.
102 + x = 180 Subtract 102 from both sides.
x = 78
You should notice that x is an exterior angle. (I didn't at first).
Exterior angles are the sum of the two remote interior angles which in this case, are 31 + 47 = 78
Much shorter and much easier.
Answer:
10 cm ....
Step-by-step explanation:
I'm not sure..