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3 years ago

PLEASEE HELP HURRY URGENT

Mathematics

2 answers:

enyata [817]3 years ago

8 0

Answer:

D. ∠3 and ∠4 are supplementary angles

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°

∠3=15° ∠4=29°

15° + 29° = 180°

So, ∠3 and ∠4 are suplementary angles.

:) ur welcome

GarryVolchara [31]3 years ago

5 0

Answer:

Step-by-step explanation:

151 + 29 = 180

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PLS HELP LAST DAY OF APEX a.graph this system of inequalities y<-x+4 y>-x-2 b. How many solutions does this system of ineq

Ede4ka [16]

Answer:

Part ) The graph in the attached figure

Part b) The system has infinitely solutions

Step-by-step explanation:

Part a) Graph this system of inequalities

we have

y < -x+4 -----> inequality A

The solution of the inequality A is the shaded area below the dotted line

y=-x+4

The y-intercept of the dotted line is the point (0,4)

The x-intercept of the dotted line is the point (4,0)

The slope of the dotted line is negative (m=-1)

y > -x-2 -----> inequality B

The solution of the inequality B is the shaded area above the dotted line

y=-x-2

The y-intercept of the dotted line is the point (0,-2)

The x-intercept of the dotted line is the point (-2,0)

The slope of the dotted line is negative (m=-1)

using a graphing tool

The graph in the attached figure

Part b) How many solutions does this system of inequalities have?

we know that

The solution of the system of inequalities is the shaded area between the two dotted lines (see the attached figure)

therefore

The system has infinitely solutions

4 0

3 years ago

The cost of Spectrum Internet is $60 per month plus a one time $35 installation fee. How much would it cost to have internet for

Murljashka [212]

Answer:

$755

Step-by-step explanation:

You can use the formula c = 60m + 35 for this. c is the cost and m is the number of months. Since a year is 12 months, 60m = 60*12 = 720. Then add the one time fee of $35. 720 + 35 = 755.

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3 years ago

Can you please explain this?

Leni [432]

Answer:

The question is giving you pairs of points in space which can be used to define lines. It is then asking you to determine if the lines defined by those points are parallel, perpendicular, or neither.

Step-by-step explanation:

Two key things you need to know to solve this is that the lines will be parallel if their slopes are the same, and perpendicular if one slope is the negative reciprocal of the other (i.e. $s_{1} = -s_{2}^{-1}$ )

Let's start with question 11. You are given two pairs of points, each of which describes a distinct line:

(3,5)-(1,1) and (0, 2)-(5, 12)

To find the slope of each pair, take the vertex with the lesser x co-ordinate, and subtract it from the vertex with the greater x co-ordinate. That will give us a valid Δx and Δy to get the slope.

In the first pair, 3 > 1, so we'll subtract the second point from the first:

$s = \Delta y / \Delta x\\s = \frac{5 - 1}{3 - 1}\\s = 4/2\\s = 2$

So the first pair of vectors describe a line with a slope of 2. Let's look at the other pair:

$s = \Delta y / \Delta x\\s = (12 - 2) / (5 - 0)\\s = 10 / 5\\s = 2$

That also gives us a slope of 2, meaning that the two lines are parallel.

This same process will need to be done for the other three questions. We can't answer questions 12 or 14 here, as the last point is cut off on the edge of the image. For question 3 though, one line has a slope of 7/3, and the other 3/7. That puts them in the "neither" category, as one is not the negative reciprocal of the other, but instead the positive reciprocal.

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3 years ago

A travelling salesman sells milkshake mixing machines and on average sells 8.9 machines per month. He needs to sell at least 3 m

Goshia [24]

Answer:

0.67% probability he will have to shut down after this month

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$