Answer:
A
Step-by-step explanation:
The base angles of an isosceles triangle are congruent
The sum of the 3 angles in a triangle = 180°, hence
180° - 112° = 68°
base angle = 
= 34°
Thus each base angle equals 34° → A
Answer: 1100 ounces because 20 × 30 + 10 × 50 = 1100
Step-by-step explanation:
Amount of honey contained in each large jar = 18 ounces
Number of large jar filled = 32
Total amount of honey in large jars:
= 18 ounces × 32
= 576 ounces
Amount of honey contained in each small jar = 12 ounces
Number of small jars filled = 46
Total amount of honey in small jars:
= 12 ounces × 46
= 552 ounces
The total amount of hones in the jars will be the addition of the honey in the small and large jars. This will be:
= 576 ounces + 552 ounces
= 1128 ounces
The most reasonable estimate will be:
1100 ounces because 20 × 30 + 10 × 50 = 1100
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
Answer: -1536
Step-by-step explanation:
