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3 years ago

31

Mathematics

2 answers:

Hoochie [10]3 years ago

6 0

X-2
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frosja888 [35]3 years ago

4 0

Answer:

x=2

Step-by-step explanation:

First you put the equations in the form of y = mx + b

Then once they are like that it would look like:

y = -2x + 6

y = 3x - 4

So then you can set them equal to each other and it will look like this:

-2x + 6 = 3x - 4

Then you add 2x to both sides and get:

6 = 5x - 4

Next, add 4 to both sides and get:

10 = 5x

So then you will simplify by dividing both sides by 5 and getting:

2 = x

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When is the sum of two integers a negative number

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ABC is an isosceles triangle with BA=BC

melomori [17]

Explanation:

1. ∠BAC≅∠BCA, ∠ABD≅∠ADB; Reason: definition of isosceles triangles

2. ∠ABD +∠BAC +∠ADB = 180°; Reason: sum of internal angles is 180°

3. ∠BAC = 180° -2(∠ABD) = 36°; Reason: Subtraction and substitution properties of equality

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6. ∠ABD +∠DBC = ∠ABC; Reason: Angle sum theorem

7. ∠DBC = ∠ABC -∠ABD = 108° -72° = 36°; Reason: Subtraction and substitution properties of equality

8. ∠BCA = ∠BAC = 36°; Reason: Substitution property of congruence

9. ΔBCD is isosceles; Reason: Base angles DBC and BCA are congruent.

_____

There may be extra steps involved if you separately use subtraction and substitution properties of equality, or if you separately claim congruence of angles and equality of their measures. We have assumed that the definition of "isosceles triangle" includes the fact of equal side lengths <u>and</u> equal base angles.

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3 years ago

The rent in an urban neighborhood is normally distributed. The mean is $650 per month with a standarddeviation of $50. Estimate

Vilka [71]

Solution

The z-score, also referred to as standard score, z-value, and normal score, among other things, is a dimensionless quantity that is used to indicate the signed, fractional, number of standard deviations by which an event is above the mean value being measured. Values above the mean have positive z-scores, while values below the mean have negative z-scores.

Mean is $650

Standard deviation = $50

$\begin{gathered} \mu=650 \\ \sigma=50 \end{gathered}$ $Z=\frac{x-\mu}{\sigma}=\frac{600-650}{50}=-\frac{50}{50}=-1$ $Z=\frac{x-\mu}{\sigma}=\frac{750-650}{50}=\frac{100}{50}=2$

[tex]P(-1

Therefore the estimated percent of apartment residents = 81.86%

4 0

1 year ago

Help pls pls picture below

tatuchka [14]

Answer:

y = 11, x = 76/6

Step-by-step explanation:

We will start by finding y

92 + 8y = 180 we know this because the angle degree of one line is 180 you can just do simple elimination to solve this

92+ 8y = 180 subtract 92 from both sides

8y = 88 then divide both sides by 8 and you get

y = 11

Now for x we know the blank angle is equal to 88 because of vertical angles

so now it is 88 + ( 6x - 16) = 180 again we do elimination

88 + 6x - 16 = 180 subtract 88 from both sides and you get

6x - 16 = 92 then subtract 16

6x = 76 then divide both sides by 6 and get

$x = \frac{76}{6}$

hope this helps :)

5 0

3 years ago

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