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3 years ago

13

For Exercises 19-24, a, b, c, and d are distinct lines in the same plane. For each combination of relationships, tell how a and

d relate. Justify your answer.
I don't understand the symbols

1 answer:

Olegator [25]3 years ago

5 0

Answer:

a is parallel to d

a and d are parallel, and are perpendicular to c and d (those are parallel to each other)

RESULT

They are parallel

Step-by-step explanation:

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3 years ago

Write a formula that describes the value of an initial investment of $1200, growing at an interest rate of 4%, compounded monthl

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f(x)=1200(1.04)^n

Step-by-step explanation:

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Step-by-step explanation:

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3 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

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4 years ago

Evaluate the expression when x =19 and y =7

PtichkaEL [24]

Answer:

Plug in X and Y by replacing the given numbers where you see letters.

Step-by-step explanation:

What I said above.

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3 years ago