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3 years ago

Answer quickly, thank you 50 points.

Mathematics

1 answer:

pshichka [43]3 years ago

7 0

Answer:

Step-by-step explanation:

We are asked to justify the given steps:

a) AB+BC=AC : Segment addition postulate

b) 2x+6x+8 = 32: Substitution (substituted 2x for AB and 6x+8 for BC and 32 for AC)

c) 8x+8 =32 :Simplification

d)8x=24: Addition property of equality

e) x=3: Multiplication property of equality .....

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Find the solution of the following system of equations -5+2y=9 3x+5y=7

Rudiy27

Answer:

$x=-\frac{28}{3}\\\\y=7$

Step-by-step explanation:

Given the system of equations:

$\left \{ {{-5+2y=9} \atop {3x+5y=7}} \right.$

You can pply Substitution method:

First you must solve for "y" from the first equation:

$-5+2y=9\\\\2y=9+5\\\\2y=14\\\\y=\frac{14}{2}\\\\y=7$

Therefore, the second and final step to solve the system of equations is to substitute the value of "y" into the second equation and solve for "x":

$3x+5(7)=7\\3x=7-35\\\\x=-\frac{28}{3}$

5 0

2 years ago

Two angles form a linear pair. the measure of one angle is 26∘26∘ greater than the measure of the other angle. find the measure

Tpy6a [65]

A linear pair means that the sum of the angles is 180 degrees.

Therefore:

a + b = 180°

We know that:

a = b + 26°

Therefore:

b + 26 + b = 180

2b = 154

b = 77°

So,

a = b + 26 = 103<span>°</span>

6 0

2 years ago

4. Find the following angles(7 points):

horrorfan [7]

Answer:

∠A: 98 (Is a vertical angle to the 98 degrees)

∠D: 151 (180-29)

∠H: 29 (Is a vertical angle to the 29 degrees)

∠I: 29

∠J: 151

∠M: 151 (Vert angle to <J)

∠R: 82 (180-98)

5 0

1 year ago

The shaded region in the graph represents the solutions of this system of linear inequalities:

kotegsom [21]

Answer:

$y$

$y\leq 2x+3$

Step-by-step explanation:

step 1

Find the equation of the solid line

From the graph take the points (0,3) and (4,11)

Find the slope

$m=(11-3)/(4-0)\\m=8/4=2$

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=2$

$b=3$ ----> the y-intercept is the point (0,3)

substitute

$y=2x+3$

therefore

The inequality is

$y\leq 2x+3$

step 2

Find the equation of the dashed line

The slope is given

$m=4$

From the graph take the y-intercept (0,-5)

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=4$

$b=-5$

substitute

$y=4x-5$

therefore

The inequality is

$y$

because the shaded region is below the dashed line

therefore

The system of inequalities is

$y$

$y\leq 2x+3$

8 0

2 years ago

(8c+8)–(c+3)<br> answer-

otez555 [7]

Answer:

7c + 5

Step-by-step explanation:

(8c+8)–(c+3)

8c - c = 7c

8 - + 3 = 5

7c + 5

6 0

2 years ago

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