Answer:
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Step-by-step explanation:
System: 2x + y = -3, -2y = 6 + 4x
We can solve it through elimination
-2y = 6 + 4x, y = -3 - 2x --> multiply the second equation by 2 -->
-2y = 6 + 4x, 2y = -6 - 4x --> add these two equations together -->
0 = 0: All real solutions
Slope intercept form (y = mx + d):
2x + y = -3 <em>-->Subtract 2x--></em> y = -2x - 3
-2y = 6 + 4x --> Divide by -2 --> y = -3 - 2x --> y = -2x - 3
Answer:
The answer is given below
Step-by-step explanation:
Given that the parallelogram ABCD has m∠A = 79°
A parallelogram is a quadrilateral with two pairs of parallel lines. For a parallelogram, opposite sides of a parallelogram is equal and opposite angles are also equal. Also the diagonal of a quadrilateral bisect each other.
m∠C = m∠A = 79° (opposite angles of a parallelogram are congruent)
m∠C = 79°
m∠B + m∠A = 180° (consecutive angles of a parallelogram are supplementary)
m∠B + 79 = 180
m∠B = 180 - 79
m∠B = 101°
m∠B = m∠D = 101° (opposite angles of a parallelogram are congruent)
m∠D = 101°
The complete table is
Dog Not Dog Total
Cat 31 10 41
Not cat 24 7 31
Total 55 17 72
Given a venn diagram represents the results of a survey that asked participants whether they would want a dog or a cat as a pet as shown in figure which is attached below.
In the figure cat and dog are overlapping which means 31 people like both.
The people that like only dog but not cat are 24 and the people that like only car but not dog is 10.
The people that like not cat not dog is 31-24=7.
The total people that like cats are 31+10=41 and the total people that dont like cat is 24+7=31
The total people that like dogs are 31+24=55 and the people that didn't like dogs are 31+10-24=17 and the total people that like both dog and not dog and also like cat and not cat is 55+17=41+31=72.
Hence, the complete table is shown in attached figure for the given venn diagram.
Learn more about venn diagram from here brainly.com/question/17006218.
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