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3 years ago

7. Identify the correct congruence statement.

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

3 0

Step-by-step explanation:

in ∆ABC and ∆ADC

AB = AD (given)

AC = AC (common)

angle ACB = angle ACD = 90° (Given)

therefore,

∆ABC = ∆ADC

therefore, option C is correct

hope this helps you!

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If price rises, what happens to supply for a product? Group of answer choices a.It does not change. b.Uncertain-economic theory

Kisachek [45]

Answer:

c.It increases.

Step-by-step explanation:

The Law of Supply and Demand states that:

The higher the prices, the higher the supply, the lower the demand. This means that at a higher price, sellers will try to sell more of the product(increasing supply), but buyers will buy less of this product(decreasing demand).

So the correct answer is:

c.It increases.

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3 years ago

Perpendicular to the line 4x - 6y + 7 = 0 , passing through (3, 4) .

PilotLPTM [1.2K]

Answer:

The equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

Step-by-step explanation:

Given equation of line is:

$4x - 6y + 7 = 0$

Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.

So,

$4x+7 = 6y\\6y=4x+7\\\frac{6y}{6} = \frac{4x+7}{6}\\y = \frac{4}{6}x+\frac{7}{6}\\y=\frac{2}{3}x+\frac{7}{6}$

The standard form of slope-intercept form of equation is:

$y=mx+b$

Here, the co-efficient of x is the slope of the line.

So the slope of given line is: 2/3

m = 2/3

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line

Then

$m.m_1 = -1\\\frac{2}{3} . m_1 = -1\\m_1 = -1*\frac{3}{2}\\m_1 = -\frac{3}{2}$

The equation of perpendicular will be:

$y = m_1x+b$

Putting the value of slope

$y = -\frac{3}{2}x+b$

To find the value of b, putting (3,4) in the equation

$4 = -\frac{3}{2}(3)+b\\4 = -\frac{9}{2}+b\\b = 4+\frac{9}{2}\\b= \frac{8+9}{2}\\b=\frac{17}{2}$

So the equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

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3 years ago

What is the end behavior of the polynomial function? PLEASE HELP!!!

konstantin123 [22]

For this case, what you should do is to see the behavior of the graph as you move away to minus infinity or to more infinity on the x axis.
We have then that:
x ---> - inf then,
y -----> - inf
Answer:
option 4

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3 years ago

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Navigators locate an object by measuring its location clockwise direction from due north. The measure of the angle is called the

kotegsom [21]

Answer:

<em>Refer to attached.</em>

Part 1

Since bearing is taken from north, i.e. 90°, this will be represented by -45° on the units circle.

Part 2

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Part 3

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mote1985 [20]

Answer:

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Step-by-step explanation:

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3 years ago

7. Identify the correct congruence statement. ​

7. Identify the correct congruence statement.