Answer:
3 girls and 4 boys
Step-by-step explanation:
Writing the number of girls in the family as g and the number of boys in the family as b,
we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as
b = 2(g-1)
Next,
we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as
b-1 = g
Therefore, we have
b = 2(g-1)
b-1 = g
Plugging b-1 = g into the first equation, we get
b = 2 (g-1)
2(g-1) = 2((b-1) - 1) = b
= 2(b-1-1)
= 2(b-2)
= 2b-4
b = 2b-4
subtract 2b from both sides to make it so that only b values and their coefficients are on one side
-b = -4
multiply both sides by -1 to solve for b
b=4
Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.
The answer is B! I hope this helped ya!
The missing angle of the given triangle is 59°.
What is vertically opposite angles?
Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.
Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,
⇒ 49°+31°+x = 180°
⇒ 80° + x= 180°
⇒x= 180°-80°=100°
Then unknown angle in triangle 1 ia 100°.
Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,
In triangle 2 angle is 100° and 21°. Then missing angle is,
⇒ 100°+21°+missing angle =180°
⇒Missing angle = 180°-100°-21°
⇒Missing angle = 59°
Therefore the answer is 59°.
To learn more about Vertical angle ,
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Answer: B
The correct second step for the given proof is;
by the division property of equality.
Explanation:
We want to find the correct second step for the given proof.
Recall that from division property of equality, when we have;
a=b and c=d, dividing the equations by each other, the equation will still be equal;
For the given Prove;
statement 1 states that the circumference circle 1 and 2 can be expressed as;
So, for step 2;
Applying the division property of equality, we have;
Therefore, the correct second step for the given proof is;
by the division property of equality.