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2 years ago

What do the following two equations represent?

Mathematics

1 answer:

miv72 [106K]2 years ago

3 0

Answer:

Intersecting but not perpendicular

Step-by-step explanation:

Assuming you forgot to add the = between y+5 and 2(1)

Since there is a opposite single variable in either equation the lines will intersect but not be perpendicular

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If the m∠1=123° m ∠ 1 = 123 ° and m∠2= (2x+7)° m ∠ 2 = ( 2 x + 7 ) ° , determine the value of x that supports l∥m l ∥ m . Show y

Georgia [21]

Answer:

Step-by-step explanation:

Let us assume that m<1 nad m<2 are supplementary. Since the sum of supplementary angles is 180degrees, hence;

<1 + <2= 180

123+2x+7 = 180

130+2x = 180

2x = 180 - 130

2x = 50

x = 50/2

x = 25

Hence the value of x is 25

5 0

3 years ago

Sine is opposite divided by hypotenuse. So the sine of an angle times the hypotenuse is the length of the opposite side. What is

valkas [14]

Answer:

10 m

Step-by-step explanation:

opposite = sin30° × 20 = $\frac{1}{2}$ × 20 = 10 m

7 0

2 years ago

The table shows the dimensions of 4 different rectangles. Each rectangle has an area of 36 square centimeters. Which rectangle h

const2013 [10]

It would be 46 centimeters

5 0

4 years ago

The sum of the measures of three angles in a triangle is 180 degrees. The measure of one angle of a triangle is one degree more

sineoko [7]

Answer:

19, 58 and 103

Step-by-step explanation:

Okay. Here we need to convert whatever statements we have into a mathematical expression.

Firstly, let’s give the smallest angle a value of x. Where do we now go from here? The measure of one angle is 1 degree greater than 3 times the size of the smallest angle. This means the value of the second angle is 3x + 1

Now for the third angle, the question stated that the third angle is thirteen degrees less than twice the measure of the second angle. The value for this is: 2( 3x + 1) - 13

Now when we add all these angles, surely, we get a result equal to 180.

x + 3x + 1 + 2(3x + 1) - 13 = 180

4x + 1 + 6x + 2 - 13 = 180

10x - 10 = 180

10x = 190 and x = 19.

Now the measure of the other angles are as follows:

3x + 1 = 3(19) + 1 = 57 + 1 = 58

2(3x + 1) - 13 = 2(58) - 13 = 103

6 0

3 years ago

U= {1,2,3,4,5,6,7,8,}, A={1,4,5,7}, B= {2,5,6,7,}, and C= {3,4,6,7}

choli [55]

Answer:

a. {1, 2, 3, 4, 5, 6, 7}

b. {1, 2, 3, 4, 5, 6, 8}

c. {4, 5, 7}

d. {1, 4, 5}

Step-by-step explanation:

The union of two sets is the list of elements in either set. The intersection of two sets is the list of elements in both sets. The complement of a set is the list of elements in the universal set that are not in the set being complemented. The complement of a set can be indicated with an apostrophe: A' is the complement of set A, for example.

B∪C = {2, 5, 6, 7} ∪ {3, 4, 6, 7} = {2, 3, 4, 5, 6, 7}

A∪(B∪C) = {1, 4, 5, 7} ∪ {2, 3, 4, 5, 6, 7} = {1, 2, 3, 4, 5, 6, 7}

B∩C = {2, 5, 6, 7} ∩ {3, 4, 6, 7} = {6, 7}

A ∩ (B∩C) = {1, 4, 5, 7} ∩ {6, 7} = {7}

(A∩(B∩C))' = {7}' = {1, 2, 3, 4, 5, 6, 8}

A∩Β = {1, 4, 5, 7} ∩ {2, 5, 6, 7} = {5, 7}

Α∩C = {1, 4, 5, 7} ∩ {3, 4, 6, 7} = {4, 7}

(A∩B)∪(A∩C) = {5, 7} ∪ {4, 7} = {4, 5, 7}

(A∩B')∪(A∩C') = A∩(B'∪C') = A∩(B∩C)'

(B∩C)' = {6, 7}' = {1, 2, 3, 4, 5, 8}

A∩(B∩C)' = {1, 4, 5, 7} ∩ {1, 2, 3, 4, 5, 8} = {1, 4, 5}

<em>Additional comment</em>

In part (d) we made use of De Morgan's law for sets:

B'∪C' = (B∩C)'

We also made use of the distributive property for sets:

A∩(B∪C) = (A∩B)∪(A∩C)

6 0

2 years ago