Find the measures of the angles of a triangle if the smallest angle measures 107º less than the largest angle, and the third angle is one third of the measure of the largest angle

Answers

Answer 1

Answer:

            123°, 41° and 16°

Step-by-step explanation:

x        - the measure of the largest angle

x - 107°        - the measure of the smallest angle

¹/₃x     - the measure of the third angle

x + x - 107° + ¹/₃x = 180°

2¹/₃x = 180° + 107°

⁷/₃x = 287°

x = 287°÷⁷/₃

x = 287° · ³/₇

x = 123°

x-107° = 123° - 107° = 16°

¹/₃x = ¹/₃ · 123° = 41°


Related Questions

What is the equation for y in the inequality -3(2y+4) < 12 - 4y?

Answers

-6y-12<12-4y

First, add 12 on both sides.

-6y<24-4y

Now add 4y on both sides.

-10y<24

Divide -10.

y<-2.4

---

hope it helps

Answer:

y > -12

Explanation:..

alguien lo entiende y sabe?!!​

Answers

Answer:  What the hell is this. I don’t understand a word

Step-by-step explanation:

help... WILL GIVE BRAINLESSLY


what is 1029 divided by 89/9 and added to 88910333????

Answers

Step-by-step explanation:

88910334.2834 that is the hard answer

Please help me for 1 and 6.

Answers

Answer:

6=28 1=125

Step-by-step explanation:

65+59=124 180-124=56/2 equals 28 and if the question is correctly written

then both sides that you don't yet know should be 28

The answer for one if I'm correct is 125 since you add 204+31=235 then you do 360-235=125

If I'm wrong at all I'm sorry but with that how are you in math honors when I'm just in algebra 1 T_T

what is the value of z?

Answers

Answer:

3 (z = 35)

Step-by-step explanation:

(22 + 19) + 104 + z = 180° => triangle sum theorem

41 + 104 + z = 180

145 + z = 180

145 + z - 145 = 180 - 145

z = 35

Look at thee isosceles triangle what angle is B?
(I am so so tired is 2 in the morning)

Answers

Isosceles means the bottom right angle is also 65, so to add up to 180, the final angle (B) must be 50.

Answer:

m∡b = 50°

Step-by-step explanation:

this is an isosceles triangle so the other base angle also measures 65°

there are 180° in a triangle so m∡b = 180-(65+65) or 50°

Which statement best describes where the StartFraction pi Over 4 EndFraction comes from in the formula derivation? It is the ratio of the area of the square to the area of the circle from a cross section. It is the ratio of the area of the circle to the area of the square from a cross section. It is the difference of the area of the square and the area of the circle from a cross section. It is the sum of the area of the square and the area of the circle from a cross sectio

Answers

Answer:

Adding 12 to the circle area is equal to the square area.

Or

s2 = 12 + A

Where

s = side of square

A = area of circle

So

s2 = 12 + 36

s2 = 48

Solve this for s to get the side length

I need help with this

Answers

Answer:

since k is the constant for any proportionality, simply do 48/4 since 48=y and 4=x  or y/x, your constant will be equal to 12 as well as ur unit rate point since they said it is the same as your constant, your equation would be y=12x

Step-by-step explanation:

Is a cellular phone 120 kilograms or 120 grams?

Answers

Answer:

120 grams because 120 kilograms is a lot

:)

Can someone help me

Answers

the range is the difference between the largest number and the smallest, so 98-65=33

What inverse operations do you use to solve for b?

-9 = -11 + b/8

Answers

Answer:

I would use multiplication

Step-by-step explanation:

Multiplication is the opposite of dividing.

the mod
784 sq. in
28 in
Approximately how much cardboard did he use in all to make the model?
828 square inches
1,092 square inches
О
1,400 square inches
o
2,016 square inches
о

Answers

Answer:

Step-by-step explanation:

base = 784 sq in²  28 in tall pyramid

each side of the square base = √784   also equals 28

using the Pythagorean theorem the length of each side of the pyramid from the base to the point is

(side/2)² + height² =( length of the pyramid face)²

(28/2)² + 28²  = 196 + 784  = 980 =  (face length)²

face length = √980    =  31.3

area of the pyramid = 4 sides × area of each face + the area of the base

    =   4×[(1/2)(base)(face length)] + side²

    =   4(1/2)(28)(31.3) + 784

    =   2537 sq in²     Not in the solution set

Of the students in the college, 60% of the students reside in the hostel and 40% of the students are day scholars. Previous year result reports that 30% of all students who stay in the hostel scored A Grade and 20% of day scholars scored A grade. At the end of the year, one student is chosen at random and found that he/she has an A grade. What is the probability that the student is a hostlier?

Answers

Answer:

9 / 13

Step-by-step explanation:

From the question :

Let :

Hostel students = h

Day students = d

Students with A grade = a

P(h) = 60% = 0.6

P(d) = 40% = 0.4

P(hostel with A grade) ; P(A / H) = 0.3

P(day with A grade) ; P(A / D) = 0.2

The probability that a student picked at random withbA grade is an hostel student is given as :

Probability of being an hostel student gun he has A :

P(H | A) = (P(A/H) * P(H)) ÷ P(A/H) * P(H) + P(A/D) * P(D))

P(H | A) = (0.3 * 0.6) ÷ ((0.3*0.6) + (0.2*0.4))

P(H | A) = 0.18 ÷ (0.18 + 0.08)

P(H | A) = 0.18 ÷ 0.26

P(H | A) = 9 / 13

Which monomial is a perfect cube?

49p9q3r24
81p12q15r12
121p9q3r6
343p6q21r6

Answers

Answer:

Step-by-step explanation:

49p9q3r24        7² 3² 3 24

81p12q15r12       9² 12 15 12

121p9q3r6          11² 3² 3  6

343p6q21r6      342  6 21 6

Answer:

D on edge 2021

Step-by-step explanation:

the answer is D on edge 2021

can y’all please help me on this !!!

Answers

(y-60) = 56
Because opposite angles in a rhombus are congruent in a rhombus.
So,
y=16

Also in a rhombus all 4 sides are equal so you can set
16 = 3x + 4
So,
X= 4

Why is -55.1 a rational number?

Answers

Because the decimal does it go on infinitely

Solve for x. 6x-20 4x+50

Answers

Answer: Simplifying

4x + 50 = 6x + 20

Reorder the terms:

50 + 4x = 6x + 20

Reorder the terms:

50 + 4x = 20 + 6x

Solving

50 + 4x = 20 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

50 + 4x + -6x = 20 + 6x + -6x

Combine like terms: 4x + -6x = -2x

50 + -2x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0

50 + -2x = 20 + 0

50 + -2x = 20

Add '-50' to each side of the equation.

50 + -50 + -2x = 20 + -50

Combine like terms: 50 + -50 = 0

0 + -2x = 20 + -50

-2x = 20 + -50

Combine like terms: 20 + -50 = -30

-2x = -30

Divide each side by '-2'.

x = 15

Simplifying

x = 15

The cost of building a house increases 26 percent every year. If it costs $80,000 to build the house one year, what would it cost to build the house the next year?

Answers

Answer:

100,800

Step-by-step explanation:

Answer:

100,800

Step-by-step explanation:

Will be giving brainliest
d = 5, m = 25, k = 10, s = 15
Evaluate the algebraic expression s+k-d.

A.0

B.10

C.20

D.30
30

Answers

Answer:

C) 20

Step-by-step explanation:

s + k - d

15 + 10 - 5

25 - 5

20

Answer:

20

Step-by-step explanation:

15+10-5

=20

..........

HELP NOW PLEASEEEEE !!! Factor using the GCF: 45n² + 9

Answers

Answer:

9(5n²+1)

step by step explanations;

Help pls this is due today

Answers

Answer:

495cm²

Step-by-step explanation:

Find the area of all the shapes and then add them together I believe...

Answer:

468 Square Centimeters

Step-by-step explanation:

Surface area can be calculated by adding the areas of each face on a prism:

The rectangle to the left is a 9 by 10. The formula for the area of a rectangle is length times width, so we can get the area by multiplying 9 and 10: 9*10=90To the right of that rectangle is another rectangle. This time it's a 10 by 12, as we can see in the picture. Multiply 10 and 12: 10*12=120The last rectangle, on the right, is a 15 by 10. Multiply 15 and 10: 15*10=150Now look at the triangle on the top. The formula for the area of a triangle is base times height divided by 2. The base of the triangle in this case is the bottom side, 12. The height is how tall the triangle is, 9. Multiply 9 and 12: 9*12=108. Divide that by 2: 108/2=54Finally, look at the triangle on the bottom. It is exactly the same as the one on the top, with a base of 12 and a height of 9. Since it is exactly the same, we know that it has the same area too: 54Add up the areas: 90+120+150+54+54=468

please let me know if the answer or explanation is incorrect, hope this helps :)

Solve using the appropriate formula. Substitute 3.14 for π. Hint: Circle: A = πr2 Find the area of a circle with a radius of 4 cm.

Answers

Answer:

The area of a circle is [tex]\pir^{2}[\tex] and the radius is 4 so we have 16π and substituting 3.14 for pi we get 50.24 .

Hope this helps!

Answer:

10.2 cm squared

Step-by-step explanation:

got it right on edg 2021

what is binary numbers

Answers

a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" and "1".

She square was 10 ft by 10 ft. Suppose uses the same amount of fencing to enclose a circular area. What is the area of the​ circle? Use 3.14 for .

Answers

Answer:

127.41ft^2

Step-by-step explanation:

Given data

DImension of the square

10ft by 10ft

The perimeter of the square is

=10+10+10+10

=40ft

Hence the amount of the fencing of the circle is 40ft

That is the circumference is 40ft

C=2πr

solve for r

40=2*3.14*r

40=6.28r

r= 40/6.28

r=6.37 ft

Area= πr^2

Area= 3.14*6.37^2

Area= 3.14*40.5769

Area= 127.41ft^2


In a triangle one interior angle has a measure of 40 degrees, the second is 25
degrees, what is the measurement of the third angle? *

Answers

Answer:

120

Step-by-step explanation:

Inside angles of a triangle always add up to 180. 180 - 40 - 20 = 120

David is an enthusiastic cyclist. He uses an app on his phone to track each of his cycling sessions below is shown some information about his last three

Answers

The required diagram is attached in the picture below :

Answer:

15.05 miles

2 :09:12

5 hours 19 minutes 18 seconds

Step-by-step explanation:

Given :

28/4/18:

Time : 1 :03 : 25

Fastest mile = 02 : 25

Distance = 15.05 miles

03/5/18:

Time : 2:06: 41

Fastest mile = 02 : 53

Distance = 28.70 miles

08/5/18:

Time : 2 :09:12

Fastest mile = 02 : 45

Distance = 26.39 miles2

1.) shortest distance cycled :

From the data:

15.05 < 26.39 < 28.70

Shortest distance cycled = 15.05 miles

The longest the cycled:

1 :03 : 25 < 2:06: 41 < 2 :09:12

Longest = 2 :09:12

Total cycling time :

1 :03 : 25 + 2:06: 41 + 2 :09:12

(1 + 2 + 2)= 5 hrs

(03 + 06+ 09) = 18 minutes

(25 + 41 + 12) = 78 seconds = 1 minute 18 seconds

18 minutes + 1 minute = 19 minutes

Total = 5 hours 19 minutes 18 seconds

The Pythagorean Theorem is
c² = g²-6²
False
O True
O No answer text provided.
O No answer text provided.

Answers

Answer:

            False

Step-by-step explanation:

It depends on the triangle.

If a is the longest side then it's true, but usually when we talk about Pythagorean theorem we mean that c is the longest side of the right triangle. So:

              c² = a² + b²


13. One way to help your students learn self-reliance skills would be to:
A) Have them grade each other's papers.
B) Stand behind students when they take the test.
C) Have them set goals for learning and assess their own goals.
D) Answer every question they have with a question of your own.
14. Your students are struggling with basic addition skills. You can help them by:
A) having them create a word bank.
B) giving them a multiplication chart.
C) reteaching the skill using flash cards.
D) giving them the test again to redo for a higher grade

Answers

The answer would be c because they can set there own goals and it would be what they want

Help pls I need it ily

Answers

the answer is answer B!

X^2=9 in standard form?

Answers

Answer:

±3

Step-by-step explanation:

x² = 9

Taking square root on both sides,

x = 3

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