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Neporo4naja [7]
3 years ago
10

Given: Angle 2 and Angle 3 are a linear pair. Angle 3 and Angle 4 are a linear pair. Prove Angle 2 is congruent to Angle 4.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0
Reason 2 is that they are linear, so they form 180 degrees, which makes them supplementary. Reason 3 is that they are both 180 - angle 3. I think. I'm not sure about reason 3.
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What’s the distance between (-2,1) and (4,3)
vichka [17]

Answer:

40 or 2\sqrt{10}

Step-by-step explanation:

\sqrt{(4-(-2))^2+(3-1)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40},    2\sqrt{10}

7 0
3 years ago
PLEASE HELP ME I WILL GIVE BRAINLIST
Hatshy [7]
For the first one I believe it's the 3rd answer and for the second question I believe its the first answer
4 0
3 years ago
Two linear equations are represented by using the tables below.
Dmitriy789 [7]

Answer:

(–3, –2)

Step-by-step explanation:

A linear equation is an equation in the form y = mx + b, where m is the slope of the line and b is the y intercept.

Equation A is represented by the points:

x:    -5      -2        0          1

y:    -4       -1         1           2

Equation A can be gotten by picking any two pair of points. Let us use (-5, -4) and (0, 1). We use this formula:

y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{1-(-4)}{0-(-5)} (x-(-5))\\\\y +4=x+5\\\\y=x+1

Equation B is represented by the points:

x:    -6      -3        3          6

y:    -4       -2         2          4

Equation B can be gotten by picking any two pair of points. Let us use (-6, -4) and (3, 2). We use this formula:

y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{2-(-4)}{3-(-5)} (x-(-6))\\\\y +4=\frac{2}{3}( x+6)\\\\y+4=\frac{2}{3} x+4\\\\y=\frac{2}{3}x

The solution to the system of equations is gotten by solving y = x + 1 and y = (2/3)x simultaneously.

Substitute y = (2/3)x in y = x + 1:

(2/3)x = x + 1

2x = 3x + 3

x = -3

Put x = -3 in y = (2/3)x

y = (2/3) (-3) = -2

Hence (-3, -2) is the solution

4 0
3 years ago
Read 2 more answers
Find the percent increase or decrease from 24 to 234.
irina [24]

Answer:

it is increase

234-24 = 210

210/24=8.75 x 100

875%

Step-by-step explanation:

6 0
3 years ago
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils left over. How many pencils were i
swat32

Answer:

12 pencils in each package.

Step-by-step explanation:

Given:

Ethan bought 4 packages of pencils.

No of Packages = 4

No of pencils given to friend = 8 pencils

No of pencils left over =40 pencils

∴Total Number of Pencils = No of pencils given to friend + No of pencils left over =40+8 =48

Total Number of pencils in each package = \frac{\textrm{Total Number of Pencils}}{\textrm{No Of Packages}}= \frac{48}{4}= 12 \ pencils

8 0
4 years ago
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