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Advocard [28]
3 years ago
5

*Due tonight, plz help*

Mathematics
2 answers:
NemiM [27]3 years ago
8 0
<h3>Answer:  12 (choice D)</h3>

=========================================

Work Shown:

Angle DCA = 15 degrees (given in diagram)

Angle BAC = 15 degrees, since BAC and DCA are alternate interior angles, so they are congruent to one another. This works because AB is parallel to CD.

Ignore point D. Focus on triangle BAC only. Two angles are known: A = 15, B = 153. Solve for angle C

A+B+C = 180

15+153+C = 180

C+168 = 180

C = 180-168

C = 12

For triangle ABC (ignore point D) the angle C is 12 degrees. If D is involved in the diagram, angle BCA is 12 degrees.

aleksandrvk [35]3 years ago
5 0

Answer:

the correct answer is 165

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3 years ago
Can someone please explain and solve the middle column?
MrRissso [65]
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Brums [2.3K]

Answer: 24


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7 0
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nata0808 [166]

Answer:

ARE ≅ ΔARC

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Step-by-step explanation:

We are given that in the two triangles ARE and ARC.

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5 0
3 years ago
5. Find the first, fourth, and tenth terms of the arithmetic
Lubov Fominskaja [6]

The first, fourth and tenth terms of the arithmetic sequence is -6, -\frac{27}{5} and -\frac{21}{5}

Explanation:

The given rule for the arithmetic sequence is A(n)=-6+(n-1)(\frac{1}{5} )

We need to determine the first, fourth and tenth terms of the sequence.

To find the first, fourth and tenth terms, let us substitute n=1,4,10 in the general rule for the arithmetic sequence.

To find the first term, substitute n=1 in A(n)=-6+(n-1)(\frac{1}{5} ) , we get,

A(1)=-6+(1-1)(\frac{1}{5} )

A(1)=-6+(0)(\frac{1}{5} )

A(1)=-6

Thus, the first term of the arithmetic sequence is -6.

To find the fourth term, substitute n=4 in A(n)=-6+(n-1)(\frac{1}{5} ) , we get,

A(2)=-6+(4-1)(\frac{1}{5} )

A(2)=-6+(3)(\frac{1}{5} )

A(2)=\frac{-30+3}{5}

A(2)=\frac{-27}{5}

Thus, the fourth term of the arithmetic sequence is -\frac{27}{5}

To find the tenth term, substitute n=10 in A(n)=-6+(n-1)(\frac{1}{5} ) , we get,

A(10)=-6+(10-1)(\frac{1}{5} )

A(10)=-6+(9)(\frac{1}{5} )

A(10)=-6+\frac{9}{5}

A(10)=-\frac{21}{5}

Thus, the tenth term of the arithmetic sequence is -\frac{21}{5}

Hence, the first, fourth and tenth terms of the arithmetic sequence is -6, -\frac{27}{5} and -\frac{21}{5}

3 0
4 years ago
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