3. Of the 32 students in Maria's class, 14 play sports, 19 are in the band, and 6 are involved in both sports and

Mathematics

1 answer:

Pani-rosa [81]3 years ago

5 0

19 of 32 are in band, so 19/32 are in band
The answer is C

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Does anyone know this ? Thank you

alina1380 [7]

Answer:

Step-by-step explanation:

angle ACB = 180-130=50 degree

angle ABC = 180 - (94+50)

= 180-144

= 36

6 0

3 years ago

How much fabric is required to cover x buttons in the shape of a circle whose radius is 3x ?

Leviafan [203]

Radius of 1 button = r = 3x

Fabric required to cover 1 button = Area of the circle

= $\pi r^{2}$

= $\pi (3x)^{2}$

= $9\pi x^{2}$

Total number of buttons = x

Fabric required to cover 1 button = $9\pi x^{2}$

Fabric required to cover x buttons = $x(9\pi x^{2} )$

$=9\pi x^{3}$

Hence, fabric required to cover x buttons $=9\pi x^{3}$ sq. units

3 0

3 years ago

HELP ASAP!!

Tresset [83]

By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.

Then:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are same-side interior angles. Because AB and DC are parallel, the same-side interior angles must be supplementary by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.