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3 years ago

Please help me i will really appreciate it .

Mathematics

1 answer:

Ahat [919]3 years ago

7 0

9514 1404 393

Answer:

slope = 2

Step-by-step explanation:

See the attachment for the markup.

It is usually convenient to choose places where the graph crosses grid intersections. Here, the graph crosses the x- and y-axes at integer values, so those points could be used, for example. We chose points away from the axes so that the rise and run lines could be seen more easily.

The graph has a rise/run of ...

slope = rise/run = 2/1 = 2

The slope of the line is 2.

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The pair of triangles that are congruent by ASA criterion is

stealth61 [152]

Answer:

The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.

The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.

Step-by-step explanation:

Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.

Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.

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3 years ago

In one type of state lottery 5 distinct numbers are picked from 1,2,3,...,40 uniformly at random.

belka [17]

Answer: a) 1 / ⁴⁰C₅ b) 0.33

Step-by-step explanation:

a) The sample space consists of all numbers 1-40.

Since any of the number can be taken from the sample space so each of five 5 distinct numbers we take has equal probability of occurring. So probability of each 5 numbers set we take will be equal to 1 / ⁴⁰C₅

If we pick exactly 3 even number then that means other 2 will be odd.

So, we have sample space of 40 numbers out of which 20 are even and 20 are odd.

Now we have to pick 3 even out of 20 and 2 odd out of 20.

Probability = ²⁰C₃ * ²⁰C₂ / ⁴⁰C₅

Probability= 0.33

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3 years ago

Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made.

fenix001 [56]

Answer:

step 3: he should have divided both sides by -7

8 0

3 years ago

.3333 is considered a rational number. What makes this number rational? Explain your reasoning.

jeka57 [31]

It’s a rational number when you round it to any place value, if you don’t round, it’s not rational.

Rational numbers are fractions and decimals that don’t go on and on forever, and no fractions that are over 0.

Since .3333 doesn’t go on forever, it’s rational.

It’s rounded to the Ten Thousandths.

Examples:
Rational: 4/5 .35 6/8
Not Rational: .3333333 (forever) 4/0 6/0 .555555 (forever).

Hope this helps :)

7 0

4 years ago

Need help: write the expression in a complete factored form: x²-9x+xy-9y

Galina-37 [17]

Factor this by grouping. Group the first two terms together and then the second 2 terms together. The idea here is that, after grouping, what you can pull out in both groups is the same. Like this:
$( x^{2} -9x)+(xy-9y)$
Now work on finding a common thing between the 2 groups:
$x(x-9)+y(x-9)$
See, what you have in common there now is the (x-9) that you can factor out:
$(x-9)(x+y)$
And that is factored completely.

4 0

3 years ago