Solve 7+7a=7(2-b) for b

Answer: 103 degrees

Step-by-step explanation: all angle of a regular triangle always add up to 180. so 62+15=77. and 180 - 77= 103

Answer:

A. 103 degrees

Step-by-step explanation:

In a triangle, the sum of angle measures is equal to 180 degrees, so by adding 62 & 15, & subtracting it from 180 you get the third angle measure of 103.

Answer:

Se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].

Step-by-step explanation:

A continuación, vamos a emplear las siguientes identidades trigonométricas:

[tex]\cos 2\alpha = \cos^{2} \alpha - \sin^{2}\alpha[/tex] (1)

[tex]\tan 2\alpha = \frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha}[/tex] (2)

Ahora aplicamos estas identidades a la identidad descrita en el enunciado:

[tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex]

[tex](\cos^{2}\alpha - \sin^{2}\alpha)\cdot \left(\frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha} - \tan \alpha \right) = \tan \alpha[/tex]

[tex](\cos^{2}\alpha -\sin^{2}\alpha) \cdot \left[\frac{2- (1-\tan^{2}\alpha)}{1-\tan^{2}\alpha} \right]\cdot \tan\alpha = \tan \alpha[/tex]

[tex](\cos^{2}\alpha - \sin^{2}\alpha) \cdot \left[\frac{1+\tan^{2}\alpha}{1-\tan^{2}\alpha} \right] = 1[/tex]

[tex](\cos^{2}\alpha -\sin^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = 1 - \tan^{2}\alpha[/tex]

[tex]\cos^{2}\alpha \cdot (1-\tan^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = (1-\tan^{2}\alpha)[/tex]

[tex]\cos^{2}\alpha \cdot (1+\tan^{2}\alpha) = 1[/tex]

[tex]\cos^{2}\alpha\cdot \sec^{2}\alpha = 1[/tex]

[tex]1 = 1[/tex]

Por tanto, se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].

Answer:

f(x) = 4*e^(0.05*x)

Step-by-step explanation:

We want to find the equation for the graph.

The first thing we can see, is that, as the value of x increases, also does the value of y.

So f(x) increases as x increases.

Then we can discard the options with negative exponents, as those decrease when x increases.

Then the remaining options are:

f(x) = 4*e^(0.05*x)

f(x) = 4*e^(0.5*x)

In the graph, we can see that:

f(5) ≈ 5

So let's check that with the two remaining options:

For the first one we have:

f(5) = 4*e^(0.05*5) = 5.13

While for the second option we have:

f(5) = 4*e^(0.5*5) = 48.73

Then the correct option is the first one:

f(x) = 4*e^(0.05*x)

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {x}^{2} + x - 6[/tex]

➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]

Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have

➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]

Taking the factor [tex](x+3)[/tex] as common,

➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

3/4

Step-by-step explanation:

1 hour is 60 minutes

45 minutes

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

60 minutes

Divide top and bottom by 15

3

----

4

96/2= 48

given figure is a square.the line is bisect the angel

thank you

--Answer--

1. acute

2. right

3. acute

4. obtuse

5. straight

--Explanation--

Acute angle = Greater than 0 °, Less than 90°

Right angle = 90°

Obtuse angle  = Greater than 90°, less than 180°

Straight angle = 180°

Answer:

A) Acute   B) Right     C) Obtuse      D) Obtuse      E) Flat/Straight

Step-by-step explanation:

Acute angles are angles less than 90°

Right angles are angles that are 90°

Obtuse angles are angles that are over than 90°

Flat/Straight angles are 180°

Answer:

I don’t get the question.

Step-by-step explanation:

It doesn’t make sense to me……….

Answer:

7 times 5

35

divided by two

17.5

times 3

52.5 cubic inch

Answer:

x~11

Step-by-step explanation:

22:17=14:x

22/17=14/x

22x=17*14

22x=238

22x/22=238/22

x=238/22

x=10.818181818181818

x~11

Answer:

option B , C , D

Step-by-step explanation:

Enlargemet is a rule which transfers an object into an object of the same form by enlarging its size in a given ration.

Remember

If k > 1 , the given object is enlarged. Since the scale fator (k) is 2 and it is greater than 1 the size of the figure enlarges . So according to this definition option B , c and d are incorrect.

only option A satisfies . So out of all these statements only option A is true.

formula :

(x , y) = (kx , ky)   ( k means scale factor)

here scale factor is multiplied to the coordinate x and y.

since the scale factor is 2 it means that the length or the value of both x and y coordinate is multiplied by 2.So, it is true . And rest are not true.

Answer:

[tex]8 \frac{1}{3} \div 4 \frac{1}{2} = \frac{50}{27} = 1.851 = 1 \frac{23}{27} [/tex]

Answer:

8

Step-by-step explanation:

count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length

Answer:

S= -7 to V= 1 so your answer is 8

Answer:

20%

Step-by-step explanation:

When calculating percents, it is important to divide by the initial value, not the end value. The formula for calculating percents is

[tex]\frac{finalvalue - inititalvalue}{initialvalue} * 100[/tex]

Plugging our values into this formula, we get

[tex]\frac{88-110}{110} * 100 = 20[/tex] as our answer.

Answer:

[tex] V = U + at[/tex]

Step-by-step explanation:

Given the following data;

Initial velocity = 0 (since the stone is starting from rest).

Final velocity = 32 m/s

Acceleration = g = 10 m/s²

Time = 3.2 seconds

To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;

[tex] V = U + at[/tex]

Where;

Substituting into the formula, we have;

[tex] 32 = 0 + 10*3.2[/tex]

[tex] 32 = 0 + 32 [/tex]

[tex] 32 = 32 [/tex]

Proven: 32 m/s = 32 m/s

Answer:

One was to write this ratio is lets say you where ordering 100 Happy Platters this mean you would get 200 corn and 300 flour.

another way is lets say you got a Happy Platter and split it in half with some one else you would get 1 corn and 1.5 flour

Answer:

14a^2

Step-by-step explanation:

3a^2+4a^2+7a^2

Combine like terms

Factor out a^2

a^2(3+4+7)

a^2(14)

14a^2

Answer:

14 a²

Step-by-step explanation:

3a² + 4a² + 7a²

collect like terms

(3 + 4 + 7)a² .. ( factor out :- a²)

calculate the sum

14 a²

Answer:

I think it's C. cause I multipled 16 by 7

Answer:

Step-by-step explanation:

The letter c

Answer:

[tex]1. \: \: a = 4[/tex]

[tex]2. \: \: y = 16[/tex]

Step-by-step explanation:

[tex]1. \: \: a + 5 = 9[/tex]

[tex]a = 9 - 5[/tex]

[tex]a = 4[/tex]

[tex]2. \: \: y−4=12[/tex]

[tex]y=12+4[/tex]

[tex]y = 16[/tex]

Answer:

Relationship: supplementary

B = 110

Step-by-step explanation:

The two angles shown form straight line

Angles that form a straight line add up to equal 180. Angles that add up to 180 are known as supplementary angles

If the angles add up to equal 180 then b + 70 = 180

Subtract 70 from both sides

b = 110

Answer:

B=112

Step-by-step explanation:

Angle B is on the same line as angle A(68). They would need to combine for a total of 180 degrees. So 68-180=112

Answer:

b = 112°

Step-by-step explanation:

The two angles from a straight line. so, they add to 180° .

b + 68° = 180°

subtract 68° from each side

b + 68° - 68° = 180° - 68°

b = 112°

Answer:

ok so first we add 10 plus 7 together since if you don't show up you fail

which is 17

so out of 100 students 17 failed both

now we subtract 71 from 80 to get 9

so we add that together with 17 so

17+9=26 so 26 students failed both

Hope This Helps!!!