find the measure of the indicated angle to the nearest degree. Part 1​

Answer: FE  is  7 and RS  is  6.

Step-by-step explanation:

13 - 6 = 7  

11-5= 6

Answer:

FE = 7

RS = 6

Step-by-step explanation:

for the first line, we know that line GE is 13 units long, and segment GF is 6 units. simply subtract 6 from 13 to get the length of segment FE.

13 - 6 = 7

You can do the same thing for the second problem.

11 - 5 = 6

hope it helps!

Answer:

Option (4). 135°

Step-by-step explanation:

From the figure attached,

Two pair of vertical angles have been given,

∠ABD and ∠CBE

∠ABE and ∠CBD

One pair of angles ∠ABD and ∠CBE are acute angles which are less than 90°.

Similarly, other pair ∠ABE and ∠DBC are obtuse angles which are more than 90°.

Therefore, out of the given options measure of one pair ∠DBC and ∠ABE should be 135°.

Option (4) will be the answer.

Been a while since I've done synthetic division.

1a. Let's assume that's supposed to be an equals sign

p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6

possible rational roots have factors of 6 in the numerator and of 2 in the denominator.  We'll only worry about negative numerators.

Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6

Factors of 2: 1,2

Possible rational roots:

(dividing by 1:) 1,-1,2,-2,3,-3,6,-6

(dividing by 2:) 1/2, -1/2  (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2

Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2

Synthetic division, trying x=1,

   1 | 2  -3  -6  5  6

             2  -1  -7  -2

       2    -1  -7  -2  4

Got a remainder of 4, so 1 isn't a root;

Trying x=-1  

-1 | 2  -3  -6  5  6

         -2   5  1  -6

     2  -5  -1  6  0

Zero remainder, found a root, x=-1.  This division says

(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6

Same set of rational roots on the cubic, we continue with x=2

2 | 2 -5 -1 6

         4 -2 -6

    2  -1 -3 0

Another zero remainder, x=2 is a root.  We're left with 2x² - x - 3 = 0, which factors as

(2x - 3)(x + 1) = 0

That's a second factor of x+1.  Our final factorization is

2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)

Fourth degree with a positive leading coefficient so goes to +infinity at both ends.  Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.  

I'll leave the actually sketching and the other two polynomials to you -- that took some time.

Answer:

a bc I think it's right idk really

Step-by-step explanation:

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In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.

In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

Answer:

y=1

Step-by-step explanation

the x is like a imaginary 1 so 4*x=4-3=1

Answer: 88 cm

Step-by-step explanation:

The area of a circle is A=πr². Since we know the area, we can use find the radius, and use the radius to find the circumference,

616=πr²

196=r²

r=14

Now that we have the radius, we can use it to find the circumference. The formula for circumference is C=2πr.

C=2π(14)

C=28π

C=88 cm

Answer: 87.96 cm

Step-by-step explanation:

Radius = √a/π

=√616 / π = 14 cm

Circumference = 2πr

= 2 x π x 14

= 87.96 cm

Answer:

B.

Step-by-step explanation:

It's just y = 2x because if you look the y is two times the x.

Answer:

The answer is D.

Step-by-step explanation:

You have to add both functions together :

[tex]f(x) = 25 - {x}^{2} [/tex]

[tex]g(x) = 5 - x[/tex]

[tex](f + g)(x) = 25 - {x}^{2} + 5 - x[/tex]

[tex](f + g)(x) = 30 - {x}^{2} - x[/tex]

[tex](f + g)(x) = - {x}^{2} - x + 30[/tex]

Answer:

B - The correct answer is graph B

Step-by-step explanation:

Answer:

the correct choice is graph B. (see attachment below)

Answer:

[tex] \boxed{x\degree = 80\degree} [/tex]

Step-by-step explanation:

Vertically opposite angles are equal.

[tex] = > x \degree + 80\degree = 160\degree \\ \\ = > x\degree = 160\degree - 80\degree \\ \\ = > x\degree = 80\degree[/tex]

Answer:

80°

Step-by-step explanation:

Look at the picture* *

Answer:

  80 feet

Step-by-step explanation:

The smallest value of f(x) in the table is f(x) = 0. It occurs where x = 80.

Since x is the horizontal distance in feet from the wall, the minimum point (drain) is 80 feet from the wall.

Answer:

c

Step-by-step explanation:

edge2020

Answer:

8, 11, 14

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given

[tex]a_{n}[/tex] = 8 + (n - 1)3 , then

a₁ = 8 and d = 3 , thus

a₂ = 8 + 3 = 11

a₃ = 11 + 3 = 14

The first 3 terms are 8, 11, 14

Answer:

8

11

14

THAT IS THE ANSWER TO THE QUESTION

Answer:

y= -7/-4/-1/2/5/8

Step-by-step explanation:

Answer:

-7, -1, 8

Step-by-step explanation:

substitute the numbers in the equation given:

1) y=3x-1

y=3(-2) -1

y=-6 -1

y=-7

2)y=3x-1

y=3(0) -1

y=0-1

y=-1

3) y=3x-1

y=3(3) -1

y=9-1

y=8

Answer:

The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south

The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East

Step-by-step explanation:

The parameters given are;

The latitude of Liverpool is 53.41°

The longitude of Liverpool is -2.99°

The latitude of Melbourne is -37.81°

The longitude of Melbourne is 144.96°

The change in latitude from Liverpool to Melbourne = Δφ

Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south

The change in longitude from Liverpool to Melbourne = Δλ

Δλ = -2.99° - 144.96°  = -147.95°

Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.

Answer:

the difference in latitude is 91.22°

the difference in longitude is 147.95°

Explanation:

For Liverpool, London. The latitude is 53.41°, longitude is -2.99°

For  Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°

The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).

The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)

the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°

Answer:

a) 5,00 m

b) y = - (7/5)x + 7

Step-by-step explanation:

The stairs and the wall forms a rectangle triangle. The wall is the opposite side respect to the angle which stairs forms with ground (I attached an image below of the situation).

a) To find the length of stairs you use the following trigonometric relation:

[tex]sin\theta=\frac{h}{l_s}[/tex]            (1)

h: height in which the stairs touch the wall = 4,33 m

ls: length of the stairs

θ: angle between ground and stairs = 60°

You solve the equation (1) for ls:

[tex]l_s=\frac{h}{sin\theta}=\frac{4,33m}{sin60\°}=4,99m\approx5,00m[/tex]

b) The line equation is given by:

[tex]y-y_o=m(x-x_o)[/tex]           (2)

Firs, you calculate the slope by using the equation (2):

[tex]m=\frac{0-7}{5-0}=-\frac{7}{5}[/tex]

Next, you use one of the point, say B, an you replace this points for yo and xo:

[tex]y-0=-\frac{7}{5}(x-5)\\\\y=-\frac{7}{5}x+7[/tex]

Answer:

Start at the top. Place the numbers below it in a triangular pattern. Each number is the added numbers directly above it.

Step-by-step explanation:

Start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is the numbers directly above it added together.

The horizontal sum's double each time.

Answer:

45 meters

Step-by-step explanation:

graph the equation and find the y-intercept

Answer:

It is expected to be at a distance of 200 ft below the sea level

Step-by-step explanation:

We are told that the sub marine has a descending rate of 40 ft per minute.

Thus, after five minutes, the distance it would have descended would be 40 ft per minute * 5 minute = 200 ft

Thus, the submarine is expected to be 200ft below sea level

Answer:

[tex]\left(m+5\right)^2[/tex]

Step-by-step explanation:

[tex]m^2+10m+25\\\mathrm{Rewrite\:}m^2+10m+25\mathrm{\:as\:}m^2+2m\cdot \:5+5^2\\m^2+10m+25\\\mathrm{Rewrite\:}25\mathrm{\:as\:}5^2\\=m^2+10m+5^2\\\mathrm{Rewrite\:}10m\mathrm{\:as\:}2m\cdot \:5\\=m^2+2m\cdot \:5+5^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=m,\:b=5\\\left(m+5\right)^2\\[/tex]

Answer:

36

Step-by-step explanation:

Because the bases are the same we can just subtract the exponents to get us 6² or 36.

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

What type of sequence does this scenario represent, and why?

✔ arithmetic; the sequence has a common difference

If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?  

✔ 360

This example doesn't accurately depict arithmetic because the succession has a common difference. The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.

Arithmetic sequences always add or subtract the same amount to go from one term to the next. Finding the difference between any AP phrase and its predecessor will reveal the common difference, indicated by the letter "d."

An arithmetic sequence's nth term is determined by, Formula an = a1 + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.

an = 100 + (14 - 1)20.

an = 360

The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.  

To learn more about Arithmetic sequences nth term refer to:

https://brainly.com/question/7882626

#SPJ2

Answer:

Distance between Jackson and Symphony stations is 2.2 miles.

Step-by-step explanation:

From the given map,

Location of two stations can be represented by the ordered pairs Jackson(2, 4) and Symphony(1, 2)

Every unit of the map represents the distance of 1 mile.

Distance between two points is measured by the formula,

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Therefore, distance between the given stations will be,

d = [tex]\sqrt{(2-1)^2+(4-2)^2}[/tex]

  = [tex]\sqrt{1+4}[/tex]

  = [tex]\sqrt{5}[/tex]

  = 2.236

  ≈ 2.2 miles

Distance between Jackson and Symphony stations is 2.2 miles.

Answer:

A. A bar magnet’s magnetic field is larger than Earth’s.

Step-by-step explanation:

The average magnetic field strength in the Earth's outer core was measured to be 25 Gauss, 50 times stronger than the magnetic field at the surface.

Answer:

[tex]63[/tex]

Step-by-step explanation:

[tex]1 + 2^1 = 3\\3 + 2^2 = 7\\7 + 2^3 = 15\\15 + 2^4 = 31\\31 + 2^5 = 63[/tex]

Answer:

570

step-by-step explanation:

assuming you're talking about a 2-dimensional rectangle,

Area = base x height

base = 38

width = 15

Area = 38 * 15

Area = 570 ft

570ft * (1 yard/3ft) = 190 yards

Answer:

190 yards

Step-by-step explanation:

area= length*width

area= 15*38

area= 570 feet

feet/3= yards

570/3= 190 yards

hope this helps!

Answer:

a=24.65 sq.m

Step-by-step explanation:

A=[tex]a^{2} or l^{2}[/tex]

608=[tex]a^{2}[/tex]

[tex]a=\sqrt{608}[/tex]

[tex]a=24.65[/tex]

To check your answer

[tex]A=a^{2} \\A=24.65^{2}\\A=24.65*24.65\\A=607.6225=608[/tex]

Answer:

28.8%

Step-by-step explanation:

1875 - 1335 = 540

[tex]\frac{540}{1875}[/tex] x 100% = 28.8%