Complete the proof. Given:

CM ⊥ AB

∠3 = ∠4

Prove:

△ AMC ≅ △ BMC

Use the information provided to complete a two-column proof.

△ AMC ≅ △ BMC ⇒ proved down

Step-by-step explanation:

Let us revise the cases of congruence  

In Δ ABC

∵ CM ⊥ AB

∴ m∠AMC = m∠BMC = 90°

∴ ∠1 ≅ ∠2

In the two triangles AMC and BMC

∵ ∠1 ≅ ∠2 ⇒ proved

∵ ∠3 ≅ ∠4 ⇒ given

∵ CM is a common side in the two triangles

∴ CM ≅ CM ⇒ common side

→ Two angles and the side joining them in the 1st triangle ≅ two angles

   and the side joining them in the 2nd triangle, then use the 3rd case

   of congruency above

∴ Δ AMC ≅ Δ BMC ⇒ by using ASA postulate

△ AMC ≅ △ BMC ⇒ proved down

Step-by-step explanation:

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.