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3 years ago

Answer both these questions and ill give the best answer brainliest

Mathematics

1 answer:

likoan [24]3 years ago

3 0

Answer:

Page 1:

A. exactly one solution

B. infinite many solutions

C. no solution

Page 2:

x = 3

Step-by-step explanation:

Page 1:

A. 3(x - 3) = 10x + 2

3x - 9 = 10x + 2

3x - 9 - 3x = -9

10x + 2 - 2 = 10x

-9 + 2 = -7

10x + 3x = 13x

-7 = 13x

13x / 13 = x

-7 / 13 = -7/13

B. -9x + 3 = -3(3x - 1)

-9x + 3 = -9x + 3

no matter what you'll end up with this

C. 2(3x - 1) = 6x - 1

6x - 2 = 6x - 1

there's no way to solve it :/

Page 2:

2/3x - 3 = 5

2/3x - 3 + 3 = 2/3x

5 - 3 = 2

2/3x = 2

2/3x / 2/3 = x

2 / 2/3 = 3

x = 3

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3 years ago

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3 years ago

The parallelogram ABCD below, line AC is a diagonal, the measure of angle ABC is 40, and the measure of angle ACD is 57. What is

Strike441 [17]

Answer:

Using properties of parallelogram and angle sum property of a triangle in the figure as shown below in the attachment

In parallelogram ABCD, AC is a diagonal.

Given: $\angle ABC = 40^{\circ}$ and $\angle ACD= 57^{\circ}$

As, we know that opposite angles in parallelogram are equal.

therefore,

$\angle ABC =\angle ADC= 40^{\circ}$

Now, in ΔADC

Sum of the measures of angles in a triangle is 180 degree.

$\angle ACD+ \angle ADC+\angle DAC =180^{\circ}$

Substituting the values of $\angle ADC= 40^{\circ}$ and $\angle ACD= 57^{\circ}$ we have;

$57^{\circ}+40^{\circ}+\angle DAC =180^{\circ}$

$97^{\circ}+\angle DAC =180^{\circ}$

Subtract $97^{\circ}$ from both sides we get

$\angle DAC =180 -97 =83^{\circ}$

Therefore, the measure of angle CAD is $83^{\circ}$ .

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3 years ago