Answer:
BC ≈ 4.0
Step-by-step explanation:
∠ DCA = 180° - 70° = 110° ( adjacent angles )
∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle
∠ DAC = 180° - 140° = 40°
Using the Sine rule in Δ ACD to find common side AC
= 
( cross- multiply )
AC × sin40° = 15 × sin30° ( divide both sides by sin40° )
AC = 
≈ 11.668
Using the cosine ratio in right triangle ABC
cos70° = 
= 
= 
( multiply both sides by 11.668 )
11.668 × cos70° = BC , then
BC ≈ 4.0 ( to the nearest tenth )
The relation between A and B subset is A⊆B
What is Subsets?
A set "X" is said to be the subset of "Y" is each elements of X is present in Y and is denoted by X⊆Y.
It should be noted that In roster notation, the use of the {" and "} character indicates that a set of numbers is a collection of elements, which can either be a finite or infinite collection.
Thus in the given question :
A={summer, autumn, spring, winter}
B={summer, winter}
"summer" and "winter" elements of B which is common and also presents in A therefore, B is subset of A and is denoted as A⊆B.
check and know more about sets here :
brainly.com/question/23454979
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Solve <span>4x − 3y = 3 and 5x − 4y = 3
Step 1: Solve for x in 4x-3y=3:
4x-3y=3
4x-3y+3y=3+3y [Add 3y to both sides]
4x=3y+3
</span>
[Divide both sides by 4]
x=
Step 2: Substitute
<span> for x in 5x-4y=3
5x-4y=3
5(</span>
<span>)-4y=3
</span>
[Subtract
to both sides]
[Divide both sides by
]
<span>y = 3
Step 3: Substitute 3 for y in x = </span>
x = 3
Answer:
4/9 is bigger
Step-by-step explanation:
For the 1st fraction, since 9 × 4 = 36,
4/9 = 4 × 4
9 × 4 = 16/36
Likewise, for the 2nd fraction, since 36 × 1 = 36,
7/36= 7 × 1
36 × 1 = 7/36
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
16/36> 7/36 or 4/9 > 7/36
