Identifying Congruent Triangles
Find the measure of The missing angles

Identifying Congruent TrianglesFind The Measure Of The Missing Angles

Answers

Answer 1

The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

For finding m∠1,

Here m∠2 = 90° as per the figure it is the right angle.

m∠1 + 40° +  m∠2 = 180°

m∠1 + 40° +  90° = 180°

m∠1 = 50°

For finding m∠3,

m∠2 + m∠3 +  30° = 180°

90° +  m∠3 +  30° = 180°

m∠3 = 60°

For finding m∠4 and m∠5

We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°

For finding m∠6 and m∠7

m∠6 + m∠7 +  20° = 180°

60° + m∠7 +  20° = 180°

m∠7 = 100°

Thus, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

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Answer 2

The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

For finding m∠1,

Here m∠2 = 90° as per the figure it is the right angle.

m∠1 + 40° +  m∠2 = 180°

m∠1 + 40° +  90° = 180°

m∠1 = 50°

For finding m∠3,

m∠2 + m∠3 +  30° = 180°

90° +  m∠3 +  30° = 180°

m∠3 = 60°

For finding m∠4 and m∠5

We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°

For finding m∠6 and m∠7

m∠6 + m∠7 +  20° = 180°

60° + m∠7 +  20° = 180°

m∠7 = 100°

Hence, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

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Related Questions

Find the measure of angle A.
x + 47
780
x + 61
A) 31°
B) 44°
C) 51°

Answers

A hope it’s correct

Answer:

180 degrees in a triangle

180 - 78 - 47- 61 = -6

2X = -6

-6/2 = -3

-3 + 47 = 44

-3+61= 58

78 + 58 + 44= 180

A = 44 degrees

Matt has answered the questions on a test. What percentage of the test questions have 20/25 Matt answered?

Answers

Answer:

80% complete with the test

Step-by-step explanation:

what you would do is if he does 20 out of 25 questions you would think that 25 is 100 and you would see that 20 is 80% because of you doing 5,10,5,20,25 the 20 is the 4th one and 80 is the forth of 100 so the answer is 80%.

Hope this helps :)

HELLO URGENT PLS HELP ME WITH THIS

Directions: Prepare adjusting entries for the following; take note that the company is using the calendar year.

1. The cost of electricity used for the month of December 2018 is P4,000. The electricity bill was received and paid in January 2019.

2. Employees earned total salaries of P100,000 in December 2018. However, the salaries were paid only in January 2019.​

Answers

Answer:

try subtracting 1000,000-40000. I may be wrong

Mackenzie practices the piano 609 minutes in 3 weeks. At what rate did she practice, in minutes per day?​

Answers

Answer:

the answer is 29

Step-by-step explanation:

good luck! <33

Answer:

The answer is  203

Step-by-step explanation:

 I  started off by dividing 609 by 3 and your answer is on the top. You're welcome!!

The internal measures of a cuboidal room are 9m, 5m and 6m respectively. Find the total cost of
whitewashing all four walls of a room, if the cost of white washing is ₹ 5 per sq.m. What will be the cost of white washing if the ceiling of the room is also whitewashed.

Answers

Answer:

₹ 1290

Step-by-step explanation:

The total surface area of the room = 2(LW + WH + LH)

TSA = 2(9*5 + 9*6 + 5*6)

TSA = 2(45 + 54 + 30)

TSA = 2(129)

TSA = 258

Hence the total surface area of the room is 258m²

If 1m² = ₹ 5

258m² = 5(258) = ₹ 1290

The cost of white washing if the ceiling of the room is also whitewashed is ₹ 1290

My last one please help me

Answers

Answer:

Step-by-step explanation:

Only D has a chance of being correct. 7x means you multiply 7 and whatever x is together.

A and B look like they are added.

C looks like some sort of subtraction has taken place.

D: - 1 * 7 = - 7

4*7 = 28

5*7 = 35

A line passes through the point ( -10, 4) and has a slope of 1/2
Write an equation in point slope form for this line,

Answers

Answer:

[tex]y-4=\frac{1}{2} (x+10)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the point (-10,4)

[tex]y-4=m(x-(-10))[/tex]

Two negatives make a positive

[tex]y-4=m(x+10)[/tex]

Plug in the slope

[tex]y-4=\frac{1}{2} (x+10)[/tex]

I hope this helps!

Lucy borrowed $425 from Colleen. Colleen charges Lucy 5.3% interest if Lucy pays Colleen back in 3 years how much does she pay Colleen back altogether

Answers

Answer: Lucy pays $ 492.58  back altogether.

Step-by-step explanation:

Formula : Interest = Principal x Rate x Time

Given: Principal  = $425  , rate = 5.3% = 0.053 , time = 3 years

Interest = 425 x 0.053 x 3 ≈ $ 67.58

Total amount need to pay back = Principal + Interest

= $ (425+67.58)

= $ 492.58

Hence, Lucy pays $ 492.58  back altogether.

8•1 and 8
pls need help ASAP​

Answers

Answer: Yes the two expressions are equal because 8 times 1 is 8

8 = 8

Step-by-step explanation: hope this helps

Solve for y.
3/11=6/y

Answers

Solve for y.3/11=6/y

ANSWER

[tex]y = 22[/tex]

EXPLANATION

Multiply both sides by y × 11

[tex]3y = 6 \times 11[/tex]

Solve a solution to y

[tex]y = 22[/tex]

HopeItHelps you

Which is the volume of water in the fish tank shown rounded to the nearest
hundredth?

Answers

Answer:

4.69ft³

Step-by-step explanation:

1.5×2.5×1.25=4.69

Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00 a.M. To 3:00 p.M., she found that she had walked 20,458 steps preparing orders to be shipped. Approximately how many steps did she walk each hour

Answers

Answer:

Approximately [tex]3410[/tex] steps each hour.

Step-by-step explanation:

Given: On Tuesday, Julissa worked from 9:00 A.M. to 3:00 P.M.

Julissa had walked [tex]20,458[/tex] steps preparing orders to be shipped.

To find: Number of steps, approximately, she walked each hour.

Solution: We have,

Total number of steps [tex]=20,458[/tex] steps.

Number of hours, from 9:00 A.M. to 3:00 P.M. [tex]=6[/tex] hours.

So, number of steps she walked each hour [tex]=\frac{20,458}{6} =3409.67[/tex] steps.

Hence, Julissa walked approximately [tex]3410[/tex] steps each hour.

The circumference of a tire is 96 inches. Determine the radius of the tire. Use 3 for π. *

Answers

Answer:

Circumference = 2*pi*radius. Pi = 3. 2 * 3 = 6. Find r: 96/6 = 16.

Step-by-step explanation:

i think it is this 16

Find the roots of the following factored quadratic equation.
y= (2x-9) (7x-4)

Answers

Answer:

x = 4.5, 4/7

Step-by-step explanation:

To find the roots of a factored equation you need to set the y value at 0, that way you can solve for x. Once you solve for x you get two quantities, which can be graphed. These two quantities are where the x intercepts are.




Beginning with the equation x = 6, write the new equation produced by multiplying both sides by 6


Help and you earn 34 points

Answers

Answer:

(x-6)(x+6)

Step-by-step explanation:

Answer:

(x-6)(x+6)

Step-by-step explanation:

cause you see x-6 is part of it cause ur multiplying

and x+6  of it cause ur multiplying both sides

for both.

and sorry for like typos or thing slike that cause i been typing a whole essay today for college

like 1000 words

Students wash cars to raise funds for class trips. The class made a profit of $326.60 from last Saturday’s car wash, which was 92% of its revenue. How much was the revenue(commission) for the car wash? (plsssssss answer someone)

Answers

Answer:627.072

Step-by-step explanation:

I need help with this please!!!!! Can someone explain how to solve this step by step please!!!!! It’s due very soon so I need to finish it!!

Answers

Answer:

Is this a test

Step-by-step explanation:

A line passes through the points (1, 10) and (0, 2). What is its equation in slope-intercept
form?

Answers

________the answer is Y=8X+2___________

Step-by-step explanation:

_

what are the coordinates of this point?

giving brainliest answer to first person to answer

Answers

Answer:

Q) (-2, 2)

V) (2, 2)

Step-by-step explanation:

Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?

Answers

Answer:

Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Step-by-step explanation:

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Answer:

The integer is a positive 4 for golf. Under par should be negative 4.

Step-by-step explanation:

6. Create an equation and solve for n.
5n - 11

Answers

Answer:

11-n=5

Step-by-step explanation:

PLZ HELP ME! THANK YOU PLZ
consider the system of equation below 4x-8y =12 11x+7y=33

Part A: The equation 2x – 4y = 6
-can be used to create an equivalent system.
-can’t be used to create an equivalent system.
Part B: The equation 22x + 7y = 33
-can be used to create an equivalent system.
-can’t be used to create an equivalent system.

Answers

Answer:

first part is can be used to create an equivalent system and second part is can’t be used to create an equivalent system i think

Answer:

first can

second cant

Step-by-step explanation:

PLEASE HELP! NEED HELP NOWWWW!!!! PLS! HELPPPP

Write the linear equation for the following word problem:

Your family has decided to go to the lake and rent a canoe. The rangers charge $6.50 per hour in addition to a $25 rental fee.

Answers

Answer:

$44.50

Step-by-step explanation:

Simplify the following rational expression.

Answers

Answer:

I did Mental Math and Got 6!

5 times -5 +1 is -9 , -9/2 needs a 4 for the denominator to divide I think and so that would make it -18/4, and -18/4 divided by -3/4 is 6/1 which equals 6.

2 diminished by 7 times a number

Answers

The answer is 2-7x I'm 100% sure

10. Solve the system of
equations by substitution.
-8x + 2y = 4
y = 4x + 2

Answers

Answer: 4x-y+2=0 i think

Step-by-step explanation

Jill is buying new appliances. The cost of the dishwasher is $459 and the cost of the microwave is $289. What is the total price including the sales tax of 7%?

Answers

Answer:

$800.36

Step-by-step explanation:

429+289=748

7% of 748= 52.36

748 + 52.36=800.36

The total price of the dishwasher and microwave after the sales tax of 7% will be $800.36.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Jill is buying new appliances.

The cost of the dishwasher is $459 and the cost of the microwave is $289.

The total amount of the dishwasher and microwave will be

Total amount = 459 + 289

Total amount = $748

Then the price of the dishwasher and microwave after the sales tax of 7% will be

Total price = 7% of $748

Total price = 1.07 x $748

Total price = $800.36

Then the total price of the dishwasher and microwave after the sales tax of 7% will be $800.36.

More about the Algebra link is given below.

https://brainly.com/question/953809

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What should be subtracted from -8xy + 2x^2 + 3y^2 to get x^2 + 2

Answers

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

Carlos wants to rent a car for the particular car you on gentle rental charges 185 per week plus $0.25 per mile driven rental charges a flat fee of 275 per week what is the number of miles driven so that rented from dental rental cause carlos less than renting from rental giant

Answers

Answer:

The indifference point is 360 miles.

Step-by-step explanation:

Giving the following information:

Rental 1:

Total cost= 185 + 0.25*x

x= miles driven

Rental 2:

Total cost= $275

Now, we need to equal both formulas and isolate x:

185 + 0.25x = 275

0.25x = 90

x= 90/0.25

x= 360

The indifference point is 360 miles.

please help I don’t understand this if you could help me that would be great , thanks!

Answers

Answer:   y = 4x

slope = 4

y intercept = 0

====================================================

Explanation:

Two points on this line are (8,32) and (12,48)

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (48-32)/(12-8)

m = 16/4

m = 4

The slope is 4.

Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b

y = mx+b

32 = 4*8+b

32 = 32+b

32-32 = 32+b-32 ... subtract 32 from both sides

0 = b

b = 0

------------------

We found that m = 4 is the slope and b = 0 is the y intercept

We go from y = mx+b to y = 4x+0, which simplifies to y = 4x

In short: the y coordinate is 4 times that of the x coordinate.

For instance, if x = 16, then

y = 4x = 4*16 = 64

Which leads to the point (16,64)

Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.

Answer:

y = 4x

Step-by-step explanation:

The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]

~~~~~~~~~~

(8, 32)

(12, 48)

(16, 64)

k = 32 ÷ 8 = 4

y = 4x

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