For 10 gallons of sauce, we need 5 times as required for 2 gallons, therefore we need 4 * 5 = 20 bottles of ketchup.
Answer:
Step-by-step explanation:
a). Since, ΔABC ~ ΔWYZ
Their corresponding sides will be proportional.
--------(1)
By applying Pythagoras theorem in ΔABC,
AB² = AC² + BC²
BC² = AB² - AC²
BC² = (194)² - (130)²
BC² = 20736
BC = 144
From equation (1)
WY = 
WY = 
= 1.35
WZ = 
WZ = 
= 0.90
b). tan(A) = 
= 
= 
Since, ΔABC ~ ΔWYZ,
∠A ≅ ∠W
Therefore, tangent of angle A and angle W will measure .
Answer:
8x +5
Step-by-step explanation:
The sum is found by combining "like" terms—those that have the same arrangement of variables.
The first expression, 2x +6, has terms 2x and 6.
The second expression, 6x -1, has terms 6x and -1.
In each case, the first term listed is first-degree in the variable x. These are "like" terms, so can be added:
... 2x +6x = (2+6)x = 8x
The second term listed in each case is a constant. These are "like" terms, so can be added:
... 6 + (-1) = 5
Then the sum of the given expressions is the sum of the results from adding like terms:
... 8x + 5
Answer:9
Step-by-step explanation:
Find the prime factorization of 72
72 = 2 × 2 × 2 × 3 × 3
Find the prime factorization of 135
135 = 3 × 3 × 3 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 3
GCF = 9
