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3 years ago

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Mathematics

1 answer:

Kisachek [45]3 years ago

7 0

If two angles and included side of one triangle are equal to two angles and the included side of the other triangle , then the two triangles are congruent (ASA rule).

in figure

consider triangle ABD and ACD
Angle BAD = angle CAD
AB = AC
Angle B = angle C
triangle ABD congruent to Triangle ACD ( by ASA rule)

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Find the slope and y-intercept of the graph of the equation: y=9x+3

frosja888 [35]

Answer:

slope is 9. intercept is (0,3)

Step-by-step explanation:

7 0

3 years ago

Which measure is equivalent to 2.5<br>A) 2.5 mL<br>B) 250 mL<br>C) 2500 mL<br>D) 25000 mL

Molodets [167]

Answer: option C) 2,500 ml (under the assumptions shown below)
Explanation:

This is a conversion of units, but you missed the unit of the question.

What is it?

It seems it should be 2.5 liters.

So, I am going to explain you how to deal with this problem, assuming you have to find the measure equivalent to 2.5 liters.

All the choices are in mililiters (ml).

Then, you use the conversion factor 1 liter = 1000 ml

With that you do:

2.5 liter × 1000 ml / liter = 2,500 ml

And that is the choice C).

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3 years ago

John paints 2 portraits in 8 hours, 3 portraits in 12 hours, and 5 portraits in 20 hours. Which statement correctly describes th

stepladder [879]

Answer:

1 portrait is painted every 4 hours

Step-by-step explanation:

Okay so there aren't any statements but I realized that he paints 1 portrait every 4 hours

If this isn't an option comment them and I will try to see if any match up correctly.

6 0

3 years ago

I NEED HELP ASAP!!

Ksenya-84 [330]

Answer:

8 and 2

Step-by-step explanation:

5+3=8

5-3=2

6 0

3 years ago

How do you solve these equations? I don't want you to answer all of them, just tell me how to solve each type of equation on the

miss Akunina [59]

Answer:

8. Identify the common denominator; express each fraction using that denominator; combine the numerators of those rewritten fractions and express the result over the common denominator. Factor out any common factors from numerator and denominator in your result. (It's exactly the same set of instructions that apply for completely numerical fractions.)

9. As with numerical fractions, multiply the numerator by the inverse of the denominator; cancel common factors from numerator and denominator.

10. The method often recommended is to multiply the equation by a common denominator to eliminate the fractions. Then solve in the usual way. Check all answers. If one of the answers makes your multiplier (common denominator) be zero, it is extraneous. (10a cannot have extraneous solutions; 10b might)

Step-by-step explanation:

For a couple of these, it is helpful to remember that (a-b) = -(b-a).

$\dfrac{5}{x+2}+\dfrac{25-x}{x^2-3x-10}=\dfrac{5(x-5)}{(x+2)(x-5)}+\dfrac{25-x}{(x+2)(x-5)}\\\\=\dfrac{5x-25+25-x}{(x+2)(x-5)}=\dfrac{4x}{x^2-3x-10}$

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$\displaystyle\frac{\left(\frac{x}{x-2}\right)}{\left(\frac{2x}{2-x}\right)}=\frac{x}{x-2}\cdot\frac{-(x-2)}{2x}=\frac{-x(x-2)}{2x(x-2)}=-\frac{1}{2}$

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$\dfrac{3}{x-1}+\dfrac{6}{x^2-3x+2}=2\\\\\dfrac{3(x-2)}{(x-1)(x-2)}+\dfrac{6}{(x-1)(x-2)}=\dfrac{2(x-1)(x-2)}{(x-1)(x-2)}\\\\3x-6+6=2(x^2-3x+2) \qquad\text{multiply by the denominator}\\\\2x^2-9x+4=0 \qquad\text{subtract 3x}\\\\(2x-1)(x-4)=0 \qquad\text{factor; x=1/2, x=4}$

Neither solution makes any denominator be zero, so both are good solutions.

8 0

4 years ago

Help me fast ..................​

Help me fast ..................