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2 years ago

CAN SOMEONE PLEASE HELP ME

Mathematics

1 answer:

Elan Coil [88]2 years ago

3 0

Answer:

Congruent

Step-by-step explanation:

The alternate interior angle theorem states that if two lines are parallel and are interesected by a line, the alternate angles on either side of the interior of the line are congruent. Angles two and three, in the interior, which are not shown, are also congruent and are both supplementary to 1 and 4.

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nekit [7.7K]

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3 years ago

What is an equivalent expression to 48x - 30?

mars1129 [50]

An equivalent expression would be 6(8x - 5)

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3 years ago

PLEASE HELP 25 POINTS Evaluate 4(3 - 1)^2 O A. 16 O B. 128 O C. 64 O D. 32

balandron [24]

The answer is 16 bc yeah i said it was

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2 years ago

Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segmen

Nataly_w [17]

Answer:

C. (-13, -7)

Step-by-step explanation:

The location of a point O(x, y) that divides a line AB with location A $(x_1,y_1)$ and B $(x_2,y_2)$ in the ratio m:n is given by:

$x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1$

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

$x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7$

Therefore the coordinates of point X is at (-13, -7)

6 0

2 years ago

What is the nth term rule of the linear sequence below? -4,-1,2,5,8,...

storchak [24]

Answer:

The nth term of the given sequence tₙ = 3 n - 7

Step-by-step explanation:

Given sequence - 4 , -1 , 2 , 5, 8 , .....

First term a = -4

The difference of two terms of a given sequence

d = -1 - (-4) = -1 +4 = 3

d = 2 - (-1) = 2 +1 = 3

d = 5 -2 = 3

d = 8 - 5 =3

The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

The nth term of given sequence

$t _{n} = a + ( n-1 ) d$

$= -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7$

Final answer:-

The nth term of the given sequence tₙ = 3 n - 7

6 0

2 years ago