All categories

3 years ago

Given: line a is parallel to line b.

Mathematics

1 answer:

mina [271]3 years ago

4 0

Answer:

Step-by-step explanation:

To solve this, we need to use the corresponding angles theorem. It states that when a transversal line cuts across 2 parallel lines, then the corresponding angles there-in are congruent or equal.

Now the pair of corresponding angles we have in this question are as follows;

1 and 5

3 and 7

2 and 6

4 and 8

All these pairs are congruent corresponding angles.

Looking at the options, option D is correct

You might be interested in

Leo bought a bulldozer for $63,103. The value of the bulldozer depreciated at a constant rate per year. The table below shows th

fomenos

Year 1
58054.76=63,103(1-r)^1
Year 2
53,410.38=63103(1-r)^2

5 0

3 years ago

Read 2 more answers

Three people build a rectangular shed 8 ft wide, 6 ft long, and 7 ft high. How many cubic feet does the shed contain?

dusya [7]

8x6x7= 336
Your answer is 336 ft^3

7 0

3 years ago

What function corresponds to the ordered pairs shown in the table?

Anettt [7]

well, we know it's a line, and to get the equation of any line all we need is two points, let's pick two from the table hmmmm say let's use (-3 , -7) and (3 , 11)

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{11}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}}\implies \cfrac{11+7}{3+3}\implies \cfrac{18}{6}\implies 3$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)}) \\\\\\ y+7=3(x+3)\implies y+7=3x+9\implies y = 3x+2$

6 0

2 years ago

What is the point slope form of a line with slope 3 that contains the point (2,1)

Mice21 [21]

Answer:

y - 1 = 3 ( x - 2)

Step-by-step explanation:

The formula for point slope form is y-y1=m(x-x1)

Just substitute the given information into the equation to get your answer.

(reminder m=slope, y1=the given y value, x1= the given x value)

HOPE THIS HELPS

7 0

3 years ago

lana66690 [7]

Answer:

Step-by-step explanation:

i did this in middle shoool

hehe

6 0

2 years ago