Mathematics College

I need it asap!!! Help a struggling geometry student out!!

Answers

Answer 1

9514 1404 393

Answer:

6. A

7. 80°

8. 20°

Step-by-step explanation:

It is helpful to read the question and identify the particular parts of the diagram it is asking about.

The corresponding hash marks mean the marked segments are congruent. These show you that ΔMQT is isosceles, so angles QMT and QTM are congruent. The sets of hash marks on NT and SM mean those segments are congruent. Of course MT is congruent to itself.

These facts let you conclude that triangles NTM and SMT are congruent by the SAS theorem. (The base angles of ΔMQT are between the pairs of congruent sides.)

The only answer choice referencing SAS is the first one, choice A.

Based on the previous question, it is a simple matter to show ΔMPT ≅ ΔTRM by SAS. Then angles MPT and TRM are congruent. Angle MPT is supplementary to angle MPN, so is 180° -100° = 80°.

Angle TRM is congruent to angle MPT, so is 80°.

With reference to ΔMQN, angle MQT is an external angle. Its measure is equal to the sum of the opposite internal angles QNM and QMN:

∠MQT = ∠NMQ + ∠QNM

95° = 75° + ∠QNM

20° = ∠QNM

From problem 6, we know that angle N is congruent to angle S, so, ...

∠TSR = ∠QNM = 20°

Related Questions

Mr. Levy has a budget of $18,000. Uniforms for the marching band cost $315 each, and he needs 62 uniforms. He says, "Since 60x$300=$18,000, I can stay within the budget." Do you agree? Explain.

Answers

Answer:

No. See explanation below.

Step-by-step explanation:

No.

Since 60 × $300 = $18,000, he would be exactly at budget if he needed 60 uniforms and if each uniform cost $300, but he needs more than 60 uniforms, and each uniform costs more than $315, so the total cost is definitely more than $18,000.

No, Mr. Levy would not be staying within budget.

Sure, 60 · $300 is $18,00, but he didn't take in the other $15 or the 2 extra uniforms.

If he were to do the math correctly, he should have done 62 · $315, which would be $19,530.

If Mr. Levy were to buy all the uniforms and not worry about it because "60 · $300 is $18,000," he would go over the budget by $1,530.

Have a luvely day!

shola earns #750 every month. if she spends 4/5 of her salary and saves the rest, how much does she save every month?

Answers

Answer:

250

Step-by-step explanation:

Amount she earns = 750

amount she spend = ⅘ of 750 = ⅘×750= 600

amount she saves = 750-600

Shola saves $150 every month.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is multiplied by 3, or 2 is added 3 times.

Given:

Shola earns $750 every month.

She spends 4/5 of her salary.

That means,

4/5 of $750.

And 4/5 of $750 = 4/5 x 750

= 4 x 150

= 600

She spends $650 per month.

Saved amount,

= $750 - $600

= $150

Therefore, $150 is her monthly savings.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ2

Solve for t in the following equation.
10 + 4–2 = 2–2( + 4)
A. =−1 B. =−35
C. =35

Answers

Answer:

the answer would be 35...

Step-by-step explanation:

Dont know how to explain it on here

The labor cost for a certain dish is $40 per hour. If it takes 45 minutes to make the dish, what is the labor cost for this particular dish?

Answers

30 dollars …………………………….

Danielle's text messaging plan costs $8 for the first 550 messages and 15¢ for each additional text message. If she owes $8.60 for text messaging in the month of October, how many text messages did she send that month?

Answers

Answer:

Danielle sent 554 text messages that month.

Step-by-step explanation:

In Oct she owed: $8 + 60¢

Because 15¢ = 1 additional message => 60¢ = 4 additional messages

So Danielle sent 550 messages (=$8) and 4 additional messages (= 60¢)

=> She sent: 550 messages + 4 additional messages = 554 messages

Hope this helps!

What is the value of x? Midsegments of triangles

Answers

Hi how u doin ?

[tex] \frac{16}{x + 4} = \frac{1}{2} \\ [/tex]

inverse both sides

[tex] \frac{x + 4}{16} = \frac{2}{1} \\ [/tex]

Multiply both sides by 16

[tex]16 \times \frac{x + 4}{16} = 16 \times 2 \\ [/tex]

[tex]x + 4 = 32[/tex]

Subtract both sides 4

[tex]x + 4 - 4 = 32 - 4[/tex]

[tex]x = 28[/tex]

Since the ratio is 10:3 we can find the total number of children and adults by finding how many times 13 (10+3) goes into 39. 39 / 13 = 3 so we can take the original 10:3 ratio and just scale it up to fit the whole group 10:3 * 3 -> 30:9:

From here it gets a little easier we know three adults of the 30 get off at the next stop bringing us to 27. So now our ratio is 27:9 we can simplify that down to 3:1 to get our final answer. Hope that helps!

Luisa buys a plane ticket that has an original price of $\$240$ . She uses a coupon code to get a $30\%$ discount off of the original price. She is then charged a $7\%$ tax on the discounted price.

What is the final cost for Luisa's plane ticket?

Answers

Answer:

Step-by-step explanation:

Answer:

179.76

Step-by-step explanation:

If there are 240 dollars then minus 30%240-30%=168.00Then, plus the 7% 168+7%= 179.76I hope this helps!

What type of correlation does the data set display?
х
y
2
13
5 11
7 10
9
8
11
2
A. Negative
O B. No correlation
C. Positive

Answers

Answer:

B-NO CORRELATION.....

An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?

Answers

The relationship between airplane 1 and airplane 2 is an illustration of objective function

14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost

How to determine the number of each type of airplane?

Represent P1 and P2 with x and y, respectively.

From the question, we ave have the following parameters:

x y Minimum

First class 20 18 400

Tourist 50 30 900

Economy 110 44 1500

Cost 10000 85000

So, the objective cost function to minimize would be:

C = 10000x + 8500y

And the constraints are:

20x + 18y ≥ 400

50x + 30y ≥ 900

110x + 44y ≥ 1500

x, y ≥ 0

Next, we plot the graphs of the constraints

From the graph (see attachment), we have the following feasible solutions

(x,y) = {(4.9,21.8), (8.5,12.7), (14,6.7)}

Substitute these values in the objective function.

C(5,22) = 10000 * 5 + 8500 * 22 = 237000

C(9,13) = 10000 * 9 + 8500 * 13 = 200500

C(14,7) = 10000 * 14 + 8500 * 7 = 199500

The minimum value is:

C(14,7) = 199500

Hence, 14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost

Read more about objective function at:

https://brainly.com/question/16826001

A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.

b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?

c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?

Answers

Using quadratic function concepts, it is found that:

a) The value of a is -2000.

b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

c) Between 140 and 160 computers need to be produced.

The profit is modeled by:

[tex]y = a(x - 100)(x - 200)[/tex]

Item a:

If 120 computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.

[tex]y = a(x - 100)(x - 200)[/tex]

[tex]3200000 = a(120 - 100)(120 - 200)[/tex]

[tex]-1600a = 3200000[/tex]

[tex]a = -\frac{3200000}{1600}[/tex]

[tex]a = -2000[/tex]

The value of a is -2000.

Item b:

We first place the quadratic function into standard form, thus:

[tex]y = -2000(x - 100)(x - 200)[/tex]

[tex]y = -2000(x^2 - 300x + 20000)[/tex]

[tex]y = -2000x^2 + 600000x - 40000000[/tex]

Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].

Then, we have to find the vertex:

[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]

[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]

[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]

The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

Item c:

We are working with a concave down parabola, hence the range is between the roots of:

[tex]y = -200x^2 + 600000x - 40000000[/tex]

[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]

[tex]-200x^2 + 600000x - 44800000 = 0[/tex]

The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].

Then:

[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]

[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]

[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]

Between 140 and 160 computers need to be produced.

A similar problem is given at https://brainly.com/question/24705734

In the 7th grade, 30% of students wear a medium size shirt. If 93 students wear a medium, how many total students are there in the 7th grade?

Answers

Answer:

310

Step-by-step explanation:

Answer:

310

Step-by-step explanation:

is/of = % / 100

[tex]93/x = 30/100[/tex]

93 * 100=9300

9300/30 = 310

Use point-slope form to write the equation of a line that passes through the point (19,-17) with slop -5/3

Answers

Answer:

y +17 = -5/3(x -19)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

You want a line with slope -5/3 through point (19, -17). Its equation is ...

y -(-17) = -5/3(x -19) . . . . . substitute the given values

y +17 = -5/3(x -19) . . . . . simplify

When a divisor divides the dividend exactly without leaving remainder then the divisor and quotient are
pls answer

Answers

Answer:

The divisor is called a factor of the dividend.

Step-by-step explanation:

Hope this helps

(Brainliest is appreciated)

Answer:

If a divisor divides the dividend exactly and leaves no remainder, this divisor is also called a factor of that dividend. Therefore, all factors of a number are divisors, but not always all factors have to be factors of a number The factors of 8 are for example 1, 2, 4 and 8, because 8 can be divided exactly by 1, 2, 4, 8.

Step-by-step explanation:

Hope this helps :)

HELP
The perimeter of a rectangular pool is 740 yd. If the length is 30 yd less than four times the width, find the length and width.

The length of the rectangular pool is __ yd.

Answers

The length of the rectangle is 12 yd

Help me poeaseeeeeeeeeeee

Answers

Answer:

C. Hope It's Help :)))))

Answer:

4.5

Step-by-step explanation:

∛100 = ?

100 = 2 x 2 x 5 x 5

∛100

= ∛ ( 2 x 2 x 5 x 5 )

= 4.642

4.642 ~ 4.5

The approximation 4.642 can also be written as 4.5

Therefore,

Answer:

28140

Step-by-step explanation:

We can applyUnitary method to solve this :-

cost of 1 almirah = $ 2345

therefore,

cost of 12 such almirah = 2345 x 12.

= $28140...ans

Hope it helps you!!

100 points, Please help!

Answers

Answer:

Look if you say 100 points. Give a hundred points. If you want an answer be honest~ and say fifty points

Step-by-step explanation:

1=17

2=97

Answered:

1 = 17

2 = 97

correct?////////////////

Answers

Answer:

No solution

One solution

Many solutions

One solution

Step-by-step explanation:

Let's use y = mx + b

m = coefficient (or slope)

b = constant ( or y-intercept)

If they have different y-intercepts but they're both rising the same amount there would be no solution because they would never cross

If the slope was different but the same y-intercept they would cross on the y-axis, making them have one solution

Equal coefficients and constants is correct, there would be infinite solutions

Different slopes and different y-intercepts would make them cross randomly one, so one solution

Hope this helped! Comment if it does or not :)

Identify the kind of sample that is described
The student government association at a certain college chooses three classes, at random, being taught during a given semester
and samples all students in those classes to ask about a new grading policy.

Answers

Answer:

Cluster sampling

Step-by-step explanation:

Choosing groups and sampling whole group.

4 lbs of tomato’s cost $14 complete the double number line so that it shows how much it will cost for up to 8 lbs of tomato’s

Answers

Answer:

the answer is 28$ because since the lbs get doubled so ypu also have to double the cost

Bradley is 27 years older than Madison seven years go, the sum of their ages was 59?

Answers

Answer:

how old is Madison right then I can't really help u solve it with that little info

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