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1 year ago

What are the measures of Angles a, b, and c? Show your work and explain your

Mathematics

1 answer:

kobusy [5.1K]1 year ago

3 0

Answer:

a= 30

b=60

c=105

Step-by-step explanation:

A forms a vertical angle with another angle that measures 30 degrees, therefore,

a= 30 degrees.

Since a is 30 degrees and a and b are in the same triangle with a 90-degree angle and all interior angles in a triangle equal 180 degrees.

Then, 30+90+b=180

120+b=180

b=60

Angle c and an angle that equals 75 degrees are supplementary. meaning that they add up to 180 degrees.

180-75=c

105=c

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2 years ago

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Find the distance between the two points rounding to the nearest tenth (if needed)

Ede4ka [16]

Answer:

6.3 units (nearest tenth)

Step-by-step explanation:

$\boxed{Distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }$

Using the formula above,

distance between (-8, 6) and (-6, 0)

$= \sqrt{ {[ - 8 - ( - 6)]}^{2} + {(6 - 0)}^{2} }$

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3 years ago

Consider this sequence: -81.-54, 36, -24....

Murljashka [212]

Answer:

See below in bold.

Step-by-step explanation:

It looks like the third term should be -36.

The sequence is geometric.

The common ratio is -54/-81 = -36/-54 = -24/-36 = 2/3 .

The sum of the first 5 terms is

(-81) * (1 - (2/3)^5) / (1 - 2/3)

= -81 * 211/243 * 3

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3 years ago

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 6 feet away from the bottom of the tree. About how high

jok3333 [9.3K]

Answer:

8 feet

Step-by-step explanation:

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bottom of ladder to tree = leg

x, 6, 10

Clear 3-4-5 triangle so,

x=8

7 0

3 years ago