given the graphs of f and g below, find the following. give the exact if defined.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle ABC

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B = 125 \degree \: - - - (1) }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B + \angle C = 150 \degree \: - - - (2)}[/tex]

We know,

Sum of all interior angles of a triangle is supplementary.

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C = 180\degree }[/tex]

On adding equation (1) and (2), we get

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle B + \angle C = 125\degree + 150 \degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C + \angle B = 275\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:180\degree + \angle B = 275\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B = 275\degree - 180\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B = 95\degree \:}[/tex]

On substituting the value in equation (1) and (2), we get

[tex] \purple{\rm :\longmapsto\:\angle A + 95\degree = 125\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A = 125\degree - 95\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A = 30\degree }[/tex]

Also, from equation (2), we get

[tex] \purple{\rm :\longmapsto\:95\degree + \angle C = 150\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle C = 150\degree - 95\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle C = 55\degree }[/tex]

Hence,

[tex]\begin{gathered}\begin{gathered}\bf\: \rm\implies \:\begin{cases} &\sf{\angle A = 30\degree } \\ \\ &\sf{\angle B = 95\degree } \\ \\ &\sf{\angle C = 55\degree } \end{cases}\end{gathered}\end{gathered}[/tex]

Answer:

angle A=30°

angle B=95°

angle C=55°

Answer:

x² - 14x + 49

Step-by-step explanation:

Simplifying (x-7)²:

(x-7)²

= (x-7)(x-7)

= x(x-7) - 7(x-7)

= x² - 7x - 7x + 49

= x² - 14x + 49

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Up 8 Units, Hope this helps :)

Answer:

13.125 meters

Step-by-step explanation:

7/8 times 15

Answer:

(p = 2)     = -2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

D) 2x^2 + 6x - 4

Step-by-step explanation:

I took the quiz and got a 100%

Answer:

1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

x =(-7+√-7)/-2=(7-i√ 7 )/2= 3.5000+1.3229i

 or:

x =(-7-√-7)/-2=(7+i√ 7 )/2= 3.5000-1.3229i

Answer:

0.8 pounds

Step-by-step explanation:

Divide 9.6 pounds by 12 bags = 0.8 pound per bag

Answer:

0.8 lbs per bag

Step-by-step explanation:

9.6 / 12 = 0.8

Answer: 0.8

27

if 90 is 100% and we have to find 30% we have to do this:

(90 * 30) / 100 = 27

two toned cars are 27

Answer:

6,1 because 61's square root is 3721

Answer:

I don't know ::{

Step-by-step explanation:

Answer:

numerator - 4

denominator - 3

Step-by-step explanation:

6 × 2/9

12/9

4/3

Answer:

Most likely a B.

Step-by-step explanation:

This depends on how much the test was of your grade.

Answer:

5

Step-by-step explanation:

I think ;- ; sorry

Answer:

0.0032

Step-by-step explanation:

start with [4(30-5)]/10/2

simplify to get:

[4(25)]/10/2

simplify to get:

0.16/10/2

simplify to get:

0.016/5

simplify to get your answer:

0.0032

Answer:

c

Step-by-step explanation:

Answer:

0.000067

or

6.7*10^-5

Step-by-step explanation:

brainliest plz

Answer:

56 adults and 35 children

Step-by-step explanation:

sum the parts of the ratio 16 + 10 = 26

Divide 91 by 26 to find one part of the ratio

91/26 = 3.5 ← 1 part of the ratio

16 parts = 16 × 3.5 = 56 ← number of adults

10 parts = 10 × 3.5 = 35 ← number of children

Therefore it 56 adults and 35 children.

To Check the Answer:  56 + 35 = 91

Answer:

2.5 x [tex]10^{15}[/tex] miles

Answer:

265.2 and 5970.8

Step-by-step explanation:

Answer:

y = 10

x = 25

Step-by-step explanation:

From the U theorem the sum of these two angles 120+2x+y = 180

same goes for the bottom part too:

2x-y+140 = 180 now add two equations up

120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)

4x + 260 = 360 subtract 260 from both sides

4x = 100 divide both sides by 4

x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25

2*25 - y + 140 = 180

50 - y + 140 = 180 add like terms

190 - y = 180 subtract 190 from both sides

-y = -10 and y = 10

Answer:

1/8 x 1/4=18

Step-by-step explanation:

I think it times

Answer:

J= 16.857°

K= 88 .4°

L=74.7°

Step-by-step explanation:

let x represent the angle of J

x° +(4x+21)° +(2x+41)° =180°

x + 4x + 21 + 2x + 41= 180° ( sum of angles in a triangle)

Collect like terms

x + 4x + 2x = 180 - 21 - 41

7x = 180

x =180/7

x=16.857

Therefore,

J = 16.857°

K=4x+21

=4(16.857)+21

= 67.4+21

=88.4°

L=2x +41

=2(16.857)+41

=33.7+41

= 74.7°

Sum of angles in the triangle =

16.857+88.4+74.7=179.9 approximately 180°

Hope this helps....

Answer: 0.00034

Step-by-step explanation: 10^-4 would move the decimal left four times.

Answer:

download Gauthnath and see answer

The answer is

[tex]5\frac{6}{7}[/tex]

Answer:

5.857

or

5 6/7

Step-by-step explanation: both are the same just one in decimal and the other is in fraction form

Answer:

Step-by-step explanation:

The measure of angle TVU is 74 degrees.

The alternate interior angles are the angles that are formed inside the two parallel lines, when it is intersected by a transversal, and are equal to its alternate pairs.

Linear pair of angles are formed when two lines intersect each other at a single point.

According to the given question.

m ∠STV = 108 degrees

And,

m ∠RST = 74 degrees

Since, ∠RTS and ∠STV are linear pair of angles.

Therefore,

m ∠RTS + m ∠STV = 180

⇒ m ∠RTS + 108 = 180

⇒ m ∠RTS = 180 - 108

⇒ m ∠RTS = 72 degrees

Now, in ΔRTS we have

m ∠RTS + m ∠TSR + m ∠SRT = 180  (sum of the angles of a triangle is 180 degrees)

⇒ 72 + 74 + m ∠SRT = 180

⇒ m ∠SRT = 180 -146

⇒ m ∠SRT =  34 degrees

Here, ∠SRT and ∠TVU are alternate interior angles.

Therefore,

m ∠SRT = m ∠TVU

⇒ m ∠TVU = 74 degrees.

Hence, the measure of angle TVU is 74 degrees.

Find out more information about alternate interior angles and linear pair of angles here:

https://brainly.com/question/19588918

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The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.

Travel time = distance ÷ speed

Second half of the trip :

Time taken for second half of trip :

Time taken = 15 / s

First half of the trip :

Time taken for first half of trip :

Time taken = 15 / (s+2)

Total time taken :

First half + second half

15/(s+2) + 15/s = [15s + 15(s+2)] / s² + 2s

B)

If s = 12

Substitute s = 12 into the expression :

[15(12) + 15(12+2)] / 12² + 2(12)

[180 + 210] / 144 + 24

390 / 168

= 2.32 hours

Therefore, the total time taken is 2.32 hours.

Learn more : https://brainly.com/question/18796573