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3 years ago

Use image to complete this proof

Mathematics

1 answer:

monitta3 years ago

6 0

Step-by-step explanation:

Line CD is the perpendicular bisector of segment AB

D. Given

Point D is the midpoint of segment AB

B. Definition of Perpendicular Bisector

Segment AD is congruent to segment BD

E. Definition of Midpoint

Angle ADC and angle BDC are right angles.

F. Definition of Perpendicular Bisector concerning right angles

Angle ADS is congruent to angle BDC

A. All right angles are congruent

Segment CD is congruent to segment CD

G. Reflexive property

Triangle ACD is congruent to triangle BCD

H. Side-Angle-Side Congruence (SAS)

Segment AC is congruent to segment BC

C. Corresponding parts of Congruent Triangles are Congruent (CPCTC)

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Svet_ta [14]

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4 years ago

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3 years ago

Please help me right away with these problems.

viktelen [127]

Q.34

$\sum\limits_{k=1}^{\infty}420\left(1.002\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

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Answer: c. Diverges, sum not exist.

Q.35

$\sum\limits_{k=1}^{\infty}-5\left(\dfrac{4}{5}\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

We have r = 4/5 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

$S=\dfrac{a_1}{1-r}$

We have:

$a_1=-5\left(\dfrac{4}{5}\right)^{1-1}=-5\left(\dfrac{4}{5}\right)^0=-5\\\\r=\dfrac{4}{5}$

substitute:

$S=\dfrac{-5}{1-\frac{4}{5}}=-\dfrac{5}{\frac{1}{5}}=-5\cdot\dfrac{5}{1}=-25$

Answer: c. Converges, -25.

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kap26 [50]

Answer:

SOLVE FOR X, Y

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Step-by-step explanation:

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3 years ago

Use image to complete this proof​

Use image to complete this proof