All categories

4 years ago

Can someone help me match these up? i know the given is number one I need help with the rest.

Mathematics

2 answers:

EleoNora [17]4 years ago

6 0

$C-1\\E-2\\B-3\\D-4\\A-5$

SSSSS [86.1K]4 years ago

6 0

Answer:

1-C, 2-E, 3-B, 4-D, 5-A

Step-by-step explanation:

Firstly, from the figure, it is shown that line RS is parallel to the line segment AB and ∠1=∠2. Therefore, 1 matches with C.

Now, from the definition of parallel lines, the corresponding angles are always equal, therefore ∠B=∠1. Therefore, 2 matches with E.

Since, we are given that the lines are parallel, therefore by property of parallel lines, alternate angles are always equal. Therefore, ∠A=∠2. Hence, 3 matches with B.

Now, we know that ∠B=∠1 and ∠A=∠2, also that ∠1=∠2, therefore from these equations, ∠A=∠B. Hence, 4 matches with D.

If two angles of the triangle are equal that is ∠A=∠B, then the sides opposite to equal angles are always equal, therefore, RA=RB. Hence, 5 matches with A.

You might be interested in

A cup of chocolate chips weigh about 6 ounces. A recipe calls for 31 4 cups of chocolate chips which is about how many ounces?

leva [86]

If 1 cup of chocolate chips weighs about 6 ounces

The recipe calls for 3 1/4 cups of chocolate chips.

We need to multiply 6 by 3 which is 18 ounces plus the 1/4 which is 6 times 1/4 = 1.5 ounces

18 + 1.5 = 19.5 ounces of chocolate chip needed

7 0

2 years ago

Will require a less costly investment in

Alexxandr [17]

Answer:

The Shoe Hut

Star's Coffee and Coffee

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A scatter plot is shown below: A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on th

Mrrafil [7]

Answer:

B (0, 14) and (10, 1)

Step-by-step explanation:

Option A: (0, 14) and (10, 14)

Equation of line using two point slope form .

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

$(x_1,y_1)=(0,14)$

$(x_2,y_2)=(10,14)$

Substitute values in formula :

$y-14=\frac{14-14}{`10-0}(x-0)$

$y-14=0(x-0)$

$y=14$

Option B : (0, 14) and (10, 1)

Equation of line using two point slope form .

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

$(x_1,y_1)=(0,14)$

$(x_2,y_2)=(10,1)$

Substitute values in formula :

$y-14=\frac{1-14}{`10-0}(x-0)$

$y-14=\frac{-13}{10}(x-0)$

$y=\frac{-13}{10}x+14$

Option C: (0, 7) and (7, 0)

Equation of line using two point slope form .

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

$(x_1,y_1)=(0,7)$

$(x_2,y_2)=(7,0)$

Substitute values in formula :

$y-7=\frac{0-7}{`7-0}(x-0)$

$y-7=\frac{-7}{7}(x)$

$y= -x+7$

Option D: (0, 7) and (3, 0)

Equation of line using two point slope form .

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

$(x_1,y_1)=(0,7)$

$(x_2,y_2)=(3,0)$

Substitute values in formula :

$y-7=\frac{0-7}{`3-0}(x-0)$

$y-7=\frac{-7}{3}(x)$

$y=\frac{-7}{3}(x)+7$

Now after plotting all the lines of given options on the graph of scatter plot we can see that the blue line $y=\frac{-13}{10}x+14$ of Option B the is the line of best fit for this scatter plot Since it is covering almost all ordered pairs of scatter plot.

Hence two ordered pairs can be joined to best draw the line of best fit for this scatter plot are (0, 14) and (10, 1)

Option B is correct.