Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP shown below. Triangle M N P. Side P N is 26.7 centimeters, side M N is 18.3 centimeters, and side P M is 14.2 centimeters. Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees. Deepak found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long. Does he need to continue measuring sides and angles of triangle FGH and why? No, he knows that the triangles are congruent because there are corresponding sides and angles that are congruent. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP. Yes, he must verify that the other two side lengths and the other two angle measures are the same as those found in triangle MNP. Yes, he must only verify that the other two angle measures are the same as those found in triangle MNP.

Answers

Answer 1

Answer:

B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.

Step-by-step explanation:

I took the test.

Answer 2

The correct option is B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We are given that Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP,

In Triangle M N P.

Side P N = 26.7 centimeters,

M N is 18.3 centimeters,

P M is 14.2 centimeters.

Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees.

He found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long.

Based on the definition, two triangles are congruent if the three sides are equal and the three angles are equal.

Hence, he need to know the other lengths of the sides of the triangle and the others angles to know if they are congruent or not.

Learn more about congruent triangles;

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Related Questions

Help needed ASAP will give brainliest and 5 STARS RATE

Answers

Answer:

The correct choice is D.

20. The temperature of a city during a week was 1° C, -6°C, 14°C, -9°C,
-15°C, 8°C and -7°C. What was the average daily temperature of the town
for the week?

Answers

The average temperature would be -2°Celsius

You just add up all the numbers, and the average of the numbers is the sum of all the numbers divided by the amount of numbers.

1+-6+14+-9+-15+8+-7=-14

-14/7=-2

Suppose it was –5 degrees Celsius at 6:00 a.m. By noon, the temperature had Increased by 11 degrees. What was the temperature at noon?​

Answers

Answer:

6

Step-by-step explanation:

11 - -5 = 6

The temperature at noon is 6 degrees Celsius.

Given

Suppose it was -5 degrees Celsius at 6:00 a.m.

By noon, the temperature had increased by 11 degrees.

What is temperature?

Temperature declines as altitude increases.

The temperature at noon is calculated by adding the morning temperature and temperature in the afternoon.

The temperature in noon = temperature at 6;00 a.m. + increase in temperature in afternoon.

The temperature in noon = -5 + 11

The temperature in noon = 6 degrees.

Hence, the temperature at noon is 6 degrees Celsius.

To know more about Temperature click the link given below.

https://brainly.com/question/22618350

What’s a good estimate for the positive square root of 225.

Answers

Answer:

15

Step-by-step explanation:

11more than the product of 9 and a

Answers

Answer:

The answer is 20

Step-by-step explanation:

11 + 9 = 20

11 plus 9 equals 20

Pablo mixes 6 units white paint and 1 unit black paint to make gray paint. What two equations show the relationship between units of white paint, w, and units of black paint, b?

Answers

Answer:i need the answer

Step-by-step explanation:

Please

The location P(t) of an object moving in the xy-plane at time t seconds is given by the equations P(t)=(x(t),y(t)), where x(t)=a +3t and y(t)=b +8t, a,b are constants and distances are measured in units of meters. The equations x(t), y(t) describe linear parametrized motion; see section 10.1 of the textbook for review.


(h) The line along which the object is moving in the plane has the equation: y=___x+___.


(i) Let d(t) be the distance the object has traveled after t seconds. The formula for d(t) is:


(j) The instantaneous rate of change of d(t) at time t is:

Answers

Answer:

(h) y =  -8/3·x + 16·a/3

(i) dt = √(x² + y²) = √( (a + 3·t)² + (b + 8·t)²)

(j)  [tex]\dfrac{d(t)}{dt} = \dfrac{3\cdot a +8\cdot b+ 73 \cdot t}{\sqrt{a^2 + 6\cdot a \cdot t + b^2+16 \cdot b \cdot t + 73\cdot t} }[/tex]

Step-by-step explanation:

(h) The location of the object = P(t) = (x(t), y(t))

Where;

x(t) = a + 3·t

y(t) = b + 8·t

Therefore we have;

At x = 0, t = -a/3. at y = 0, b = -8·t = -8·a/3

y = -8·a/3 + 8·t = -8/3(a - 3·t) = -8/3(x - 2·a) = -8/3·x + 16·a/3

y =  -8/3·x + 16·a/3

(i) dt = √(x² + y²) = √( (a + 3·t)² + (b + 8·t)²)

(j) The instantaneous rate of change of d(t), with a corresponding change in time, t, obtained by solving through an online platform, is given as follows;

[tex]\dfrac{d(t)}{dt} = \dfrac{d}{dt} \left (\sqrt{\left (a + 3\cdot t \right)^2 + \left (b + 8\cdot t \right)^2} \right ) = \dfrac{3\cdot a +8\cdot b+ 73 \cdot t}{\sqrt{a^2 + 6\cdot a \cdot t + b^2+16 \cdot b \cdot t + 73\cdot t} }[/tex].

what does x equal to

Answers

Answer:

i got 16.25=2

Step-by-step explanation:

Answer:

X = - 12.8

Step-by-step explanation:

Please show steps
If 3x + 7 = 10, what is -2x - 8?

Answers

Answer:

-10

Step-by-step explanation:

first you need to solve the first equation

3x + 7 = 10

subtract 7 from both sides

3x + 7 - 7 = 10 - 7

3x = 3

divide both sides by 3

3x/3 = 3/3

x = 1

now substitute x in the second equation.

-2x - 8

-2(1) - 8

-2 - 8

-10

Answer:

- 10

Step-by-step explanation:

Given

3x + 7 = 10 ( subtract 7 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Thus

- 2x - 8 = - 2(1) - 8 = - 2 - 8 = - 10

Javier bought a microwave for $105. The cost was 30% off the original price. What was the price of the microwave before the sale.

Answers

Answer:

I believe it is about $150

In about months, the populations of the two towns will be equal.

Answers

what’s the question?
What is the question???

Reasoning: Kiera and Javier are grouping equations based

on the number of operations needed to solve them. In

order to solve the equation -4(-9 + x) = 57, Kiera

says that you need three operations. Javier says you

need two operations. Their teacher says that they are

both correct. Which operations do you need to use to

solve the equation in three operations? Use a pencil

and paper. Explain how you can use two operations to

solve the equation. Which method do you prefer?

Why?

Answers

Answer:

Step-by-step explanation:

Given the -4(-9 + x) = 57, to solve this equation, follow the following steps:

Expend the parentheses at the left hand side using the distributive law.

-4(-9)+(-4x) = 57

Open the bracket by multiplying

+36-4x= 57

Subtract 36 from both sides

36-4x-36 = 57-36

-4x = 21

Divide both sides by -4

-4x/-4 = 21/-4

x = -21/4

From the calculation, we can see that we used 3 operations (multiplication, subtraction and division operations)

The most preferred is multiplication operation because the operation helps to simplify the parentheses using the distributive law in step 1.

Solve for x.


9x+4≤58 or 16x−2>3


x 30

x 30

Answers

Answer:

x ≤ 6

Step-by-step explanation:

Hope this helps!

goodmorning have a great day:)

Answers

Answer:

jzi4iickzmlqlridioeo

Answer:

Good morning to you to. You have a great day as well! :>

Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 4 minutes. When taking off, the run time of an airplane on the runway is 24 seconds. Planes are on average waiting 5 minutes and 54 seconds for take-off. On average there are 12 planes taking off per hour. How many planes are either on the runway or waiting to take off?

Answers

Answer:

1 plane either on the runway or waiting to take off

Step-by-step explanation:

We are given;

Frequency of take off = 12 planes per hour = 12/60 = 0.2 planes per minute

Waiting time on runway = 5 minutes 54 seconds = 5.9 minutes

Run time on runway = 24 seconds = 24/60 minutes = 0.4 minutes

To solve this question, we will use Little's law which is given by the formula;

System inventory = rate of flow × throughput time

Now, rate of flow is the same as Frequency of take off.

Thus, rate of flow = 0.2 planes per minute

Throughput time = Waiting time on runway + Run time on runway

Thus;

Throughput time = 5.9 minutes + 0.4 minutes

Throughput time = 6.3 minutes

Thus;

System inventory = 0.2 × 6.3 = 1.26 planes

Thus is approximately 1 plane.

What is the sum of zeros in this equation (m-10)(8m-1)=0? Enter your ancwer as a fraction. PLSSS I RLLYYY NEEDD HELPP​

Answers

Answer:

m= 1/8, 10

Step-by-step explanation:

(8m − 1)(m − 10) = 0

8m−1=0 → (8m/8)=(1/8) → m=(1/8)

m−10=0 → m=10

m=1/8

m=10

Please help meeeeeee thank you too whoever does

Answers

280 I’m pretty sure. Hope I help :)

The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent
decrease from the regular price to the sale price of the scooter?

Answers

Answer:

20%

Step-by-step explanation:

First we find the actual dollar amount of the discount.

$65.50 - $52.40 = $13.10

Now we need to find what percent of $65.50 is $13.10.

To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

percent = $13.10/$65.50 * 100% = 20%

Answer: 20%

Answer:

20%

Step-by-step explanation:

4 - t = 3(t - 1) - 5

Answers

Answer:

T=3

Step-by-step explanation:

4-T = 3(t-1) -5

4-t=3T -3-5

^^ distribute

-T=3T-12

^^combine like terms and subtraction prop. of equality.

-4T=-12

^^ subtraction property of equality

(-4T=12)/-4

^^ thats just getting rid of the -sign, then its also simpliying

T=3

Solve the inequality 5:0 -6 < 2 + (30 — 4).
Pls help

Answers

Answer:

x≤2

Step-by-step explanation:

The answer to 5x-6≤2+(3x-4)

Happy Halloween!

Es un juego de futbol de salon se vendieron 12000 boletos. El precio de los boletos es de $25.00 en la seccion numerada y $15.00 en la general. Si el ingreso total que se obtuvo fue de $220.000.00 ¿cuantos boletos se vendieron de la seccion numerada?

Answers

Answer:

La cantidad de boletos vendidos en la sección numerada = x = 4000 boletos

El número de entradas vendidas en la sección general = y = 8000 boletos

Step-by-step explanation:

Deje que el número de boletos vendidos en la sección numerada = x

Sea el número de boletos vendidos en la sección general = y

Es un partido de fútbol sala se vendieron 12.000 entradas.

x + y = 12000.… ..... Ecuación 1

x = 12000 - y

El precio de las entradas es de $ 25.00 en la sección numerada y $ 15.00 en la general. Si el ingreso total obtenido fue de $ 220,000.00,

$ 25 × x + $ 15 × y = $ 220 000

25x + 15y = 220.000 ..... Ecuación 2

Sustituya x por 12000 - y en la ecuación 2

25 (12 000 - años) + 15 años = 220 000

300000 - 25 años + 15 años = 220 000

300000 - 220000 = 25 años - 15 años

80000 = 10 años

y = 80000/10

y = 8000 boletos

x = 12000 - y

x = 12000 - 8000

x = 4000 boletos

La cantidad de boletos vendidos en la sección numerada = x = 4000 boletos

El número de entradas vendidas en la sección general = y = 8000 boletos

Responder:

8000

Explicación paso a paso:

Dado que las entradas:

Sección numerada = $ 25

Sección general = $ 15

Ingreso tital = 220.000

Número de entradas vendidas = 12000

Deje el boleto vendido de la sección numerada = n

Número vendido de la sección General = g

n + g = 12000

25n + 15g = 220.000

n = 12000 - g

25 (12000 g) + 15 g = 220000

300.000 - 25g + 15g = 220000

-10g = 220000 - 300000

-10g = - 80000

g = 8000

n = 12000 - g

n = 12000 - 8000

n = 4000

Entradas vendidas de la sección General = 8000

Describe and correct the errors in solving the absolute value inequality

х

5x + 4/> 13

x+4 -13 and x + 4 <13

x>-17 and

X<9

-17
22

There is an arithmetic error in both rewritten inequalities. The correct solution is -9<< < 17

The inequality symbols should be reversed. The correct solution is 9 > I > -17

The two inequalities should be written as one inequality -13 < 3+4 < 13. The correct solution is -17 <3 <9.

The compound inequalities should be joined by "or;" and both inequality symbols should be reversed. The correct solution is

< 17 ore 9.

Answers

Answer:

Step-by-step explanation:

Given the inequality [tex]|x+4|>13[/tex], to solve, we will solve the negative and positive value of the modulus for x as shown:

If the modulus is positive:

[tex]x+4>13\\[/tex]

subtract 4 from both sides

[tex]x+4-4>13-4\\x>9[/tex]

If the modulus is negative

[tex]-(x+4)>13\\-x-4>13\\[/tex]

Add 4 to both sides

[tex]-x-4+4>13+4\\-x>17[/tex]

Multiply both sides by -1

[tex]-(-x)<-17\\x<-17\\-17>x[/tex]

Combine both inequalities. If:

[tex]x>9\\[/tex]

Combining with [tex]-17>x[/tex] will give:

[tex]-17>x>9[/tex]

please he me as soon as possible. this is due by today.

Answers

I believe it is 2 and 5.

Is this relation a function? LES
7
я
12
15
Yes
ОО
No

Answers

Answer:

yes

Step-by-step explanation:

Apolline is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus a constant fee for each hour of work. Her fee for a 555-hour job, for instance, is \$42$42dollar sign, 42. Her fee for a 333-hour job is \$28$28dollar sign, 28.

Answers

Answer:

Base Fee = $7

Extra charges = $7

Step-by-step explanation:

Represent the base charge with x and the additiional charges with y.

For the 5 hours job, we have:

[tex]42 = x + 5y[/tex]

For the 3 hour job

[tex]28 = x + 3y[/tex]

Solving for x and y;

[tex]42 = x + 5y[/tex]

[tex]28 = x + 3y[/tex]

Subtract the second equation from the first

[tex]42 - 28 = x - x + 5y - 3y[/tex]

[tex]14 = 2y[/tex]

Solve for y

[tex]y = 14/2[/tex]

[tex]y = 7[/tex]

Substitute 7 for y n the first equation

[tex]42 = x + 5y[/tex]

[tex]42 = x + 5 * 7[/tex]

[tex]42 = x + 35[/tex]

[tex]x = 42 - 35[/tex]

[tex]x = 7[/tex]

Answer:

Two points that are not intercepts

Step-by-step explanation:

Khan said :)

13 and 5/8 plus 7/8 please answer quickly

Answers

13 5/8 + 7/8 = 14 1/2

5/8 + 7/8 = 1 4/8 = 1 1/2

1 1/2 + 13 = 14 1/2

Nate sees toys at the toy store. He sees more than 200 toys, but fewer than 300. How many toys could Nate see? Draw to show the number. Write the number in different ways.​

Answers

Answer:

250?

Step-by-step explanation:

I Don't Know If It's 250 because 250 Is Half Of 200, And Half Less Of 300, So I Guess It's 250? I Think I'm Wrong!

3) reflection across y=1

Answers

Triangle across y=1 spuared


The expression -16t ^2+ 48t can be written as the product of -16t with which of the following?
(1) 16t-3
(3) 16t+3
(2) t+3
(4) t-3

Answers

Answer:

4) t -3

Step-by-step explanation:

-16t² = -16 * t * t

48t = (-16t) * (-3)

-16t² + 48t = (-16t) * t + (-16t) *(-3)

                = (-16t) [ t - 3]

When a coordinate grid is superimposed on a map of lanesville the middle school is located at (15,13) and the librart is located at (27,9). If each unit represents 1 mile how many miles apart are the middle school in the liebrary round your answer to the nearest 10th

Answers

Answer:

4.5 miles

Step-by-step explanation:

Given

[tex]Middle\ School = (15,13)[/tex]

[tex]Library = (27,9)[/tex]

To solve this, we simply solve for the distance (D) between both points.

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where:

[tex](x_1,y_1) = (15,13)[/tex]

[tex](x_2,y_2) = (27,9)[/tex]

[tex]D = \sqrt{(27 - 25)^2 + (9 - 13)^2}[/tex]

[tex]D = \sqrt{(2)^2 + (-4)^2}[/tex]

[tex]D = \sqrt{4 + 16}[/tex]

[tex]D = \sqrt{20}[/tex]

[tex]D=4.472135955[/tex]

[tex]D=4.5[/tex] --- approximated

Since each unit is 1 mile. The distance is 4.5 miles

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