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3 years ago

Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ?3 is 44°. What is the measure of ?? ?1 ?

Mathematics

1 answer:

a_sh-v [17]3 years ago

7 0

Answer:

The measure of angle 1 would be 44

Step-by-step explanation:

Angles that are opposite of one another with intersecting lines will always have the same measure.

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Find the slope intercept form of the line whose slope is 6 and that passes through the point (-5,10). What is the equation?

bagirrra123 [75]

I know this is old question but i'd like to solve it :)

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2 years ago

Sam’s brother is 7 years older than Sam . His mother is 4 less than 3 times Sam’s age . Their combined age is 63 . How old is Sa

iren [92.7K]

Answer:

Sam is 12, sam's brother is 19, and sam's mom is 32.

Step-by-step explanation:

First the equation you need to use is S+7+S+3S-4=63(the variable s represents Sam), you combine the like terms which then equals 5S+3=63, then you use inverse operations. Subtract 3 on both sides, 5S=60, then you divide on both sides which equals S equals 12. Then you just plug in the number, S is Sam which means Sam's 12. Then 12+7 which is 19, Sam's brother. Then 3 times 12 minus 4 is 32. And if you check to make sure, 12+19+32 does equal 63.

6 0

2 years ago

Help me quickly please

liberstina [14]

$P_{freshman}=\frac{freshman}{total}=\frac{7}{30}=0.2333\approx23\%$

7 0

2 years ago

A sequence has an initial value (I) of -17 and its fourth term (a4) is 35. What is its general equation? Its 14th term?

aleksley [76]

Answer:

The sequence is an Arthemtic Progression

An=A1+(n-1)d

A1 is first term, An is nth term, n is number of term, and d is common difference

therefore

A4=35, A1= -17

A4=A1+(4-1)d

35= -17+3d

35+17=3d

52=3d

52/3=3d/3

14=d

common diffrence(d)=14

The general solution is given by

An= -17+(n-1)14

An= -17+14n-14

An= -31+14n

An= 14n-31

A14 term, means n=14

From An=A1+(n-1)d

A14= -17+(14-1)14

= -17+(13×14)

= -17+182

= 165.

Therfore, the 14th term is 165.

2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?

solution

common ratio(r)=4/5

eighth term(G8)=393216/3125

From Gn= G1r^(n-1)

G8 means n=8

G8=G1r^(n-1)

393216/3125=G1(4/5)^(8-1)

393216/3125=G1(4/5)^7

G1=(393216/3125)/(4/5)^7

G1=600

The first term is given by G1=600

Therefore

The General equation is given by

The General equation is given by Gn= 600(4/5)^(n-1)

3rd term (G3)

G3= G1(4/5)^(3-1) where n=3,

=600(4/5)^2

=600(16/25)

=384

Therefore, the 3rd term is given by G3= 384.

I have made some Corrections i messed up somewhere.

7 0

2 years ago

What is the vertical component of a 100 pound force applied at 30° above the horizontal?

lutik1710 [3]

That would be 100 * sin 30 = 100 * 0.5 = 50 pounds

4 0

2 years ago