angle A and angle B are supplementary angles. If m angle A=(7x+15)^ and m angle B=(x+13)^ , then find the measure of angle A

Answer:

80 degrees

Step-by-step explanation:

The total sum of all angles is 180 in every triangle, 70 + 30 = 100, 180 - 100 = 80

The Answer is 80 degrees

A stem of 2 would have 3 leaves.

The correct answer is option (B) 3.

"It is a special table where each data value is split into a 'stem' (the first digit) and a 'leaf'( the last digit)."

For given data,

17, 22, 53, 74, 42, 26, 93, 15, 67, 29, 50

A stem-and-leaf representation would be:

Stem              Leaf/leaves

1                       7, 5

2                      2, 6, 9

4                      2

5                      3, 0

6                      7

7                      4

9                      3

From above plot, we can observe that a stem of 2 would have three leaves.

Therefore, option (B) is the correct answer.

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Answer:

There are four possible combinations of root types for a 7th degree polynomial:

(i) 7 rational roots. ([tex]a_{\mathbb{Q}} = 7[/tex], [tex]a_{\mathbb{I}} = 0[/tex], [tex]a_{\mathbb{C}} = 0[/tex])

(ii) 6 rational roots, 1 irrational root. ([tex]a_{\mathbb{Q}} = 6[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 0[/tex])

(iii) 2 rational roots, 1 irrational root, 4 complex roots. ([tex]a_{\mathbb{Q}} = 2[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 2[/tex])

(iv) 3 irrational roots, 4 complex roots. ([tex]a_{\mathbb{Q}} = 0[/tex], [tex]a_{\mathbb{I}} = 3[/tex], [tex]a_{\mathbb{C}} = 2[/tex])

Step-by-step explanation:

According to the Fundamental Theorem of Algebra, every polynomial with degree higher than zero has at least a solution and at best [tex]n[/tex] complex roots, where [tex]n[/tex] is the degree of the polynomial. In this case, we have 7 roots.

We can rewrite the 7th degree polynomial as a product of a 3rd degree polynomial and 4th degree polynomial. That is:

[tex]p_{7}(x) = p_{3}(x)\cdot p_{4}(x)[/tex] (Eq. 1)

From Algebra we know that both 3rd degree and 4th degree polynomials are solvable by analytical means:

1) All 4th degree polynomials are solvable by Ferrari's method, whose posible solutions are, respectively:

(i) 4 rational roots.

(ii) 4 irrational roots.

(iii) 2 rational roots, 2 irrational roots.

(iv) 3 rational roots, 1 irrational root.

(v) 1 rational roots, 3 irrational roots.

(vi) 2 rational roots, 2 complex roots.

(vii) 2 irrational roots, 2 complex roots.

(viii) 1 rational root, 1 irrational root, 2 complex roots.

(ix) 4 complex roots.

2) All 3rd degree polynomials are solvable by Cardano's method, whose possible solutions are, respectively:

(i) 3 rational roots.

(ii) 3 irrational roots.

(iii) 1 rational root, 2 complex roots.

(iv) 1 irrational root, 2 complex roots.

(v) 3 complex roots.

Please note that complex roots are always presented in conjugated pairs by Quadratic Formula.

The number of solutions of a polynomials are represented by the following expression:

[tex]n = a_{\mathbb{Q}}+a_{\mathbb{I}}+2\cdot a_{\mathbb{C}}[/tex] (Eq. 2)

Where:

[tex]a_{\mathbb{Q}}[/tex] - Number of rational roots, dimensionless.

[tex]a_{\mathbb{I}}[/tex] - Number of irrational roots, dimensionless.

[tex]a_{\mathbb{C}}[/tex] - Number of pairs of complex roots, dimensionless.

Based on this expression, we find the possible root types for a 7th degree polynomial:

(i) 7 rational roots. ([tex]a_{\mathbb{Q}} = 7[/tex], [tex]a_{\mathbb{I}} = 0[/tex], [tex]a_{\mathbb{C}} = 0[/tex])

(ii) 6 rational roots, 1 irrational root. ([tex]a_{\mathbb{Q}} = 6[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 0[/tex])

(iii) 2 rational roots, 1 irrational root, 4 complex roots. ([tex]a_{\mathbb{Q}} = 2[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 2[/tex])

(iv) 3 irrational roots, 4 complex roots. ([tex]a_{\mathbb{Q}} = 0[/tex], [tex]a_{\mathbb{I}} = 3[/tex], [tex]a_{\mathbb{C}} = 2[/tex])

Answer:

A)---(2,2)

B)---(-6,4)

C)---(-4,7)

D)---(2,4)

Answer:

A= (2,2) B= (-6,4) C= (-4,7) D= (2,4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

582×23≈600×20=12,000

Step-by-step explanation:

[tex]{ ({6}^{ - 4} ) }^{ - 9} \div 6^{6} = {6}^{( - 4) \times (- 9)} \div {6}^{6} = {6}^{( 36)} \div {6}^{6} = {6}^{ (36)- 6} = {6}^{ 30} [/tex]

Answer:

There are two sets of solutions:

Step-by-step explanation:

The question states that [tex]a[/tex] and [tex]r[/tex] should represent the first term and the common ratio of this geometric sequence, respectively. Therefore:

Let [tex]n[/tex] denote a positive whole number. In general, the [tex]n\![/tex]-th term of this geometric sequence would be [tex]r^{n-1}\, a[/tex].

The sixth term of this sequence would thus be [tex]r^{6-1}\, a = r^5\, a[/tex].

The fact that the second term is [tex]2[/tex] and the sixth term is [tex]32[/tex] gives two equations about [tex]a[/tex] and [tex]r[/tex]:

[tex]\displaystyle \left\lbrace\begin{aligned}& r\, a = 2 \\ & r^5\, a= 32\end{aligned}\right.[/tex].

Take the quotient of these two equations to eliminate [tex]a[/tex]:

[tex]\displaystyle \frac{r^5\, a}{r\, a} = \frac{32}{2}[/tex].

[tex]r^4 = 16[/tex].

There are two possible roots: either [tex]r = 2[/tex] or [tex]r = -2[/tex].

When [tex]r = 2[/tex], substitute back to the first equation and solve for [tex]a[/tex]: [tex]a = 1[/tex].

On the other hand, when [tex]r = -2[/tex], substituting back and solving for [tex]a[/tex] would give [tex]a = -1[/tex].

Substitute these values into the second equation. Either set of values will work.

Answer:

2.5

Step-by-step explanation:

Answer:

width: 33 ft

length: 74 ft

Step-by-step explanation:

The perimeter of a rectangle is calculated by adding all of the sides together which includes two lengths and two widths. Since the formula for the length is given (l = 41ft + w) and the perimeter is given, then we can simply use the perimeter formula and substitute the value of length with its formula which would only leave us with one variable in the equation w. Now we must solve for w.

l + l + w + w = 214

(41 + w) + (41 +w) + w + w = 214  ... combine like terms

82 + 4w = 214  ... subtract 82 from both sides

4w = 132 ... divide both sides by 4

w = 33 ft

Finally, we can see that the value of the width is 33 ft . Now we plug this value into the formula for length to calculate its value.

l = 41 + w

l = 41 + 33

l = 74 ft

Answer:

Angle JKN and Angle JKI are supplementary angles.

Step-by-step explanation:

When these two angles are added together, they will equal to 180 degrees.

Answer:

left bottom option

Step-by-step explanation:

when the value of their angles are added they sum up to be 180

Answer:

2812 people

Step-by-step explanation: There are 38 buses and each holds 74 people so 38 x 74= 2812

Hope this helps :)

Answer:

m= -2

Step-by-step explanation:

For future reference, you should try using Symbolab, it works really well and I use it ALL the time!

Answer:

1. 332

2. 177

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I took the test and got it right <3

Answer: The first question in the selection is correct!

Step-by-step explanation:

Answer:

 In seven minutes she can do 91 push ups

Step-by-step explanation:

26*3=78

78+13=91

Answer:

942.50

Step-by-step explanation:

725×30% or 0.3 = 217.5

217.5+725=942.5

Answer:

13

..................

Answer: is 0.001

10^-3 = (1)/(10^3) move the negative exponent to the denominator (1)/(1000) simplify 10^3 in the denominator (1)/(1000) = 0.001

Step-by-step explanation:

Hope you have a great night

Answer: 0.001

Step-by-step explanation:

Answer:

6 * (8 - x)

Step-by-step explanation:

When you said "a number" I just wrote x

hope this helps I may have written it wrong

Answer:

d

Step-by-step explanation:

3A=120 degrees (bcoz they are alternate exterior angles)

A= 40 degrees

5B= 120 degrees( bcoz they're alternate exterior angles)

B= 24 degrees

to find value of y I equalized

8+15=29/3 + y

y= 23-29/3

y=17/3

Answer:

-0.4

hope this helps :)

Answer: 240

Step-by-step explanation:

The price of the tablet before the sale is, $240.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Sol brought a tablet on sale for 45% off the original price.

And, He paid $132 for tablet.

Now, Let the original price of tablet = x

So, We can formulate;

⇒ x - 45% of x = $132

⇒ x - 45x/100 = $132

⇒ (100x - 45x) / 100 = $132

⇒ 55x = $13200

⇒ x = $13200 / 55

⇒ x = $240

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Answer:

2, 8

Step-by-step explanation:

Answer:is D

Step-by-step explanation:

Answer: B

Coordinates: A’ (-3,2). B’ (-3,-3). C’(0,-2)

The numbers less than 6 or prime are [tex]4,5,6,7,11,13,17,19,23,29[/tex]

Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative

A prime number is a number that has only two factors, that is, 1 and the number itself.

The prime numbers between  3 to 30 are,

               [tex]7,11,13,17,19,23,29[/tex]

We have to find the numbers that are less than 6 or prime.

Numbers are, [tex]4,5,6,7,11,13,17,19,23,29[/tex]

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Answer:

6.32455532034

is the square root of 40