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rjkz [21]
3 years ago
12

a sixth grade class has 12 boys and 24 girls consider this statement: <br />for every two boys there are 4 girls do you ag

ree with this statement?
Mathematics
1 answer:
Nitella [24]3 years ago
4 0
So the ratio of boys to girls is 12:24.. now, is that an equivalent ratio as 2 boys for 4 girls? or 2:4?  let's see.

\bf \cfrac{boys}{girls}\qquad 12:24\qquad \cfrac{12}{24}\implies \boxed{\cfrac{1}{2}}&#10;\\\\\\&#10;\cfrac{boys}{girls}\qquad 2:4\qquad \cfrac{2}{4}\implies \boxed{\cfrac{1}{2}}

you could start simplifying the 12/24 fraction by dividing by some common multiple, say 2, and get 6/12, then divide by 3 and get 2/4  and stop there.

then you'll notice that 12/24 is really 2/4 in disguise.
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The question is below:
SSSSS [86.1K]

Answer:

Triangles ABE and CDE are congruent by AAS.

Step-by-step explanation:

AB ≅ DC   (Opposite sides of a parallelogram are congruent.

m < AEB = m < DEC     (Vertical angles).

m < ABE = m < EDC     ( Alternate Interior angles).

So triangles  ABE and CDE are congruent by AAS.

5 0
4 years ago
If one side of a right triangle is 12 feet long and the hypotenuse of the triangle is 7, find the length of the other side of th
Andreas93 [3]

Answer:

9.74 feet

Step-by-step explanation:

the formula for finding a hypotenuse is a^{2} + b^{2}  = c^{2}. We can rearrange that to get: c^2 - b^2 = a^2. So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.

8 0
3 years ago
What is the equation, in standard form, of a parabola that models the values in the table?
Vitek1552 [10]

Answer:

  b.  4x^2 + 3x - 6

Step-by-step explanation:

The values of f(x) for the extremes of x are more positive than the value of f(x) for the middle x, so we know the parabola opens upward. That eliminates choice D.

It is probably easiest to evaluate the other expressions to see which one matches the given f(x) values. For the purpose, it is usually easier to use the Horner form of the equation.

a. f(-2) = (3(-2) +4)(-2) -6 = -2(-2) -6 = -2 ≠ 4

b. f(-2) = (4(-2) +3)(-2) -6 = -5(-2) -6 = 4 . . . . matches the given data point

c. Because (b) matches, we know this one will not.

The appropriate choice is B.

8 0
3 years ago
Read 2 more answers
Line DCE is parallel to line AB
krek1111 [17]

Answer:

Angle DCA = Angle CAB. (Alternate Interior Angle)

Angle DCA = 68°

Angles(DCA + ACB + BCE) = 180°. (Linear Pair)

Angle ACB + 68° + 33° = 180°

Angle ACB = 79°

Therefore,

Angle ABC = 33°. (Alternate Interior Angle)

4 0
3 years ago
⦁ Show (2.3)(5.06) as a fraction multiplication problem and explain why the answer is in thousandths (three decimal places). 
astra-53 [7]

we have

(2.3)(5.06)

we know that

2.3=\frac{23}{10}

5.06=\frac{506}{100}

so

(2.3)(5.06)=(\frac{23}{10})(\frac{506}{100})

=\frac{11,638}{1,000}

=11.638

the answer is in thousandths, because the denominator of the multiplication of the two fractions is one thousand

8 0
3 years ago
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