Triangles FGH and ABC are congruent because of the: AAS congruence theorem.
<h3>What is the AAS Congruence Theorem?</h3>
The AAS congruence theorem states that when two angles and one non-included side in one triangle are congruent to corresponding two angles and one non-included side in another triangle, then both triangles are congruent.
In the proof given, it is established that both triangles have two corresponding congruent angles, and also, BC ≅ GH which are non-included sides.
Therefore, both triangles are congruent because of the AAS congruence theorem.
Learn more about the AAS congruence theorem on:
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Jessica will earn e. $301 for working 40 hours in a week plus 2 hours of overtime.
Step-by-step explanation:
Step 1:
Jessica gets paid $56 for working from 8.00 am to 4.00 pm.
So she gets paid $56 for working for 8 hours.
We need to determine how much she gets paid for 1 hour.
Jessica's hourly salary 
So Jessica gets paid $7 for every hour she works.
Step 2:
If Jessica worked for 40 hours, she will earn: 
If she works 2 hours of overtime and she gets paid 1.5 times the hourly rate, then
Jessica's salary for each overtime hour 
Jessica's salary for 2 overtime hours 
Her total salary 
So Jessica will earn $301 for working 40 hours in a week plus 2 hours of overtime which is option e.
Answer:
x = 0.954
Step-by-step explanation:
We apply pythagorean to find x
(4-x)² = 1.2² + 2.8²
(4-x)² = 9.28
✓(4-x)² = ✓(9.28)²
4 - x = 3.046
- x = 3.046 - 4
- x = -0.954
x = 0.954
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Answer:
a) 18 quarts of sparkling water
b) 1.875 quarts of grape
Step-by-step explanation:
Question 2 Fill in the blanks to complete the sentence.
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
a. How much sparkling water would you need to mix with 9 quarts of grape juice?
3/4 quarts of grape = 1 1/2 quarts sparkling water
9 quarts of grape = x
x = (9 × 1 1/2) ÷ 3/4
x = (9 × 3/2) × 4/3
x = 27/2 × 4/3
x = 18 quarts of sparking water
b. How much grape juice would you need to mix with 15/4 quarts of sparkling water?
1 1/2 quarts of sparkling water = 3/4 quarts of grape
1 5/4 quarts of sparkling water = x
x = (3/4 × 15/4 ) ÷ 1 1/2
x = (0.75 × 3.75 ) ÷ 1.5
x = 1.875 quarts of grape
c. How much of each ingredient would you need to make 100 quarts of punch?
Round your answer to the nearest whole quart. sparkling water: quarts grape juice: quarts
Americo Vespuccio thought that lake Maracaibo looked like Venice because the aborigines who lived in the area built their houses on water. The aboriginal people called Añú have a tradition of living on water in houses made of magle wood.
