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kicyunya [14]
3 years ago
13

5. Which choice below could match the following ratio: 4 to 5 Look at

Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

Answer:

A- A teacher has 12 girls and 15 boys in her class.

Step-by-step explanation:

12/3= 4

15/3= 5

This means that it will have a ratio of 4 to 5 because it is the only problem where you are able to divide both with a common number, which is 3.

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Reduce -8 + b^2 by 5 + b^2
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Answer:-13

Step-by-step explanation:

-8 + b^2 - 5 - b^2

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-13

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Triangle Q M N is shown. The length of Q M is 18, the length of M N is 17, and the length of Q N is 20. Law of cosines: a2 = b2
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Answer:

53°

Step-by-step explanation:

17² = 18² + 20² - 2(18)(20) cos Q

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0.6042 = cos Q

cos^{-1} (0.6042) = Q

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What is the simplified form of the expression? 2√18-5√32
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7 0
2 years ago
Please solve these questions for me. i am having a difficult time understanding.
s2008m [1.1K]

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

1)

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

\angle AED = \angel BEC ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

2)

Refer the attached figure

\angle ABC = 90^{\circ}

In ΔDBC

BC=DC (Given)

So,\angle CDB=\angle DBC(Opposite angles of equal sides are equal)

So,\angle CDB=\angle DBC=x

So,\angle CDB+\angle DBC+\angle BCD = 180^{\circ} (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So,\angle CDB=\angle DBC=x = 65^{\circ}

Now,

\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90

So,\angle ABD=90-x=90-65=25^{\circ}

In ΔABD

AB = BD (Given)

So,\angle BAD=\angle BDA(Opposite angles of equal sides are equal)

So,\angle BAD=\angle BDA=y

So,\angle BAD+\angle BDA+\angle ABD = 180^{\circ}(Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

8 0
3 years ago
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