Answer:
∠ACB ≅ ∠AGB
Step-by-step explanation:
AAS Postulate is angle-angle-side, which means that both triangles are congruent if 2 angles and a side are congruent.
SSS theorem: If two triangles have three pairs of sides in the same ratio, then the triangles are similar.
Write the ratio between the smallest sides, between the greatest sides and between the middle sides and compare the results:
This gives you that
By SSS theorem triangles ABC and EFG are similar with scale factor 180.
Answer:
x = 5
Step-by-step explanation:
For the parallelogram to be a square we use the property
The diagonals of a square are congruent, hence
12x - 23 = 4x + 17 ( subtract 4x from both sides )
8x - 23 = 17 ( add 23 to both sides )
8x = 40 ( divide both sides by 8 )
x = 5
Answer:
Steak and Fish
Steak and Chicken
Fish and Chicken
Step-by-step explanation:
These are the possible choices:
Steak and Fish
Steak and Chicken
Fish and Chicken
You can double-check this by looking at each meat, and making sure it was paired with both other types of meat.
I Hope That This Helps! :)
Answer:
Friday: 300 dollars
Step-by-step explanation:
Let Omar's pay on Friday = x
Friday: x
Saturday: 1/4 x was spent.
Sunday: 2/3 *(x - (1/4)x ) = 2/3 * (3/4x) = (2*3/(3*4)x = (6/12)x = 1/2x
Dinner: 15 dollars
Remainder = 20% x = 20/100 x = 0.2x
x - (1/4x + 1/2(x) + 15) = 0.2x Combine like terms on the left
x - (3/4x + 15) = 0.2x Remove the brackets
x - (3/4)x - 15 = 0.2x Combine like terms on the left
(1/4)x - 15 = 0.2x Change 1/4 to a decimal
0.25x - 15 = 0.2x Subtract 0.25x from both sides
0.25x - 0.25x - 15 = 0.2x - 0.25x Combine
- 15 = - 0.05x Divide by - 0.05
-15 /-0.05 = - 0.05 x/ 0.05
300 = x
