FIND ALL THREE ANGLES

FIND ALL THREE ANGLES

Answers

Answer 1

Answer:

Austin = 38

Atlanta = 89

Chicago = 89

Step-by-step explanation:

First, solve for x. All angles together equal 180. Set your formula up as

180 = 2x - 12 + 2x + 3 + 4x - 11

180 = 8x -20

180 + 20 = 8x

200 = 8x

200 / 8 = x

25 = x

Now substitute 25 in place of x

Austin

2x - 12

2*25-12 = 38

Atlanta

4x-11

4*25-11 = 89

Chicago

2x+3

2*25+3 = 53

Add all your angles together to check your work  


Related Questions

Find the x- and y-intercepts of the graph of the function f(x)=−4|x+5|+4.

Answers

Answer:

See image below:)

Step-by-step explanation:

The x and y intercept is -4 or -6 and -16 respectively.

What is intercept?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given function: f(x)=- 4|x+5|+4

To find the x- intercept take f(x)=0

So, 0= -4|x+5|+4

    -4|x+5|=-4

    |x+5|=1

 x= -6 or -4.

For y-intercept take x=0

 then y=-20+4

        y=-16

Hence, the intercepts are -6 or -4 and -16.

Learn more about intercepts here:

https://brainly.com/question/14180189

#SPJ2

     

select all the names appropriate for the angle indicated by the arc mark

Answers

Answer:

The answers are

angle KHM and

angle MHK

PLS HELP!
Two angles are complementary. Draw a diagram that illustrates the complementary angles. One angle measures 35° and the other measures (x + 15)°. What is the value of x?

Answers

Answer:

40°

Step-by-step explanation:

Isolate x. Complementary angles sum up to 90°, so that’s where you start

35+(x+13) = 90

35+(x+15)-35 = 90-35 (subtract 35)

x+15=55

x+15-15=55-15 (subtract 15)

x=40

To find the secong angle’s measure, just substitute x for 40. 40+15=55

I can’t draw a diagram, but two angles put together with measurements 40° and 55° should do the trick

the height of a tower is 15m more than tiwce the height of a building find the height of the building if tower is 255m tall​

Answers

Answer: 120m

Step-by-step explanation:

Let the height of the building be represented by x.

Since the height of a tower is 15m more than tiwce the height of a building, the height of the tower will be:

= (2 × x) + 15

= 2x + 15

Since the tower is 255m tall, therefore,

2x + 15 = 255

2x = 255 - 15

2x = 240

x = 240/2

x = 120

The height of the building is 120m

A person ears $16,700 one year and gets a 5% raise in salary. What is the new salary?

Answers

Answer:

$17,535

Step-by-step explanation:

 Original (old) salary:  $16,700/year

+ raise:                          0.05($16,700/year) = $835/year

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

 New salary:  Original salary plus amount of raise:

                        $16,700/year + $835/year   =  $17,535

A faster but still valid approach to finding the new salary involves multiplying the original salary by 1.05:

1.05($16,700) = $17,535.  Here the '1.00' represents the original salary and the '0.05) the raise.

There are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B.
The total length of these two carriers is 4198 feet, while the difference of their lengths is only
10 feet.

Answers

Answer:

Carrier A is 2,104 feet and Carrier B is 2,094 feet.

Step-by-step explanation:

Since there are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B, and the total length of these two carriers is 4198 feet, while the difference of their lengths is only 10 feet, to determine the length of each aircraft carrier, the following calculation must be performed:

(4,198 - 10) / 2 = X

4.188 / 2 = X

2,094 = X

2,094 + 10 = 2,104

2,094 + 2,104 = 4,198

Therefore, Carrier A is 2,104 feet and Carrier B is 2,094 feet.

PLS SOLVE!! e2 = d^2+f^2 -2df(cosE)

Answers

9514 1404 393

Answer:

  e = 25.7 m

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  [tex]e^2=d^2+f^2-2df(\cos{E})\\\\e^2=11.9^2+18.5^2-2(11.9)(18.5)\cos{114^\circ}\approx 662.946\\\\e\approx\sqrt{662.946}\approx25.74774\\\\\boxed{e\approx25.7\text{ m}}[/tex]

Draw the next five shapes in this pattern.

Answers

Answer:

what next five shapes in the pattern

Answer:

I can make one up for you

Square , Circle ,  Square , Prism ,  Sphere , Cone , Semi-Circle , Square , Circle,

What are the next 5 shapes ?

Step-by-step explanation:

1:Under what condition will the line px+py+r=0 mat be a normal to the circke x²+y²+2gx+2fy+c=0
2:prove that the two circles x²+y²+2ax+c²=0 and x²+y²+2by+c²=0 touch if
[tex]\frac{1}{a²}+\frac{1}{b²}=\frac{1}{c²}[/tex]​

Answers

Answer:

#1

The normal overlaps with the diameter, so it passes through the center.

Let's find the center of the circle:

x² + y² + 2gx + 2fy + c = 0(x + g)² + (y + f)² = c + g² + f²

The center is:

(-g, -f)

Since the line passes through (-g, -f) the equation of the line becomes:

p(-g) + p(-f) + r = 0r = p(g + f)

This is the required condition

#2

Rewrite equations and find centers and radius of both circles.

Circle 1

x² + y² + 2ax + c² = 0 (x + a)² + y² = a² - c²The center is (-a, 0) and radius is √(a² - c²)

Circle 2

x² + y² + 2by + c² = 0 x² + (y + b)² = b² - c²The center is (0, -b) and radius is √(b² - c²)

The distance between two centers is same as sum of the radius of them:

d = √(a² + b²)

Sum of radiuses:

√(a² - c²) + √(b² - c²)

Since they are same we have:

√(a² + b²) = √(a² - c²) + √(b² - c²)

Square both sides:

a² + b² = a² - c² + b² - c² + 2√(a² - c²)(b² - c²)2c² = 2√(a² - c²)(b² - c²)

Square both sides:

c⁴ = (a² - c²)(b² - c²)c⁴ = a²b² - a²c² - b²c² + c⁴a²c² + b²c² = a²b²

Divide both sides by a²b²c²:

1/a² + 1/b² = 1/c²

Proved

Answer:

Answer is in the picture

Given the diagram below, find the value of x. Then find AC,

Answers

Answer:

[tex]x=5,\\AC=14[/tex]

Step-by-step explanation:

Since one triangle is inscribed in another, the two triangles are similar. As marked in the diagram, the sides of the larger triangle are exactly two times larger than the corresponding sides of the smaller triangle.

Therefore, we have:

[tex]2(x+2)=4x-6,\\2x+4=4x-6,\\10=2x,\\x=\boxed{5}[/tex]

Since AC is marked by [tex]4x-6[/tex]:

[tex]AC=4(5)-6,\\AC=20-6,\\AC=\boxed{14}[/tex]

Use the zeros and the labeled point to write the quadratic function represented by the graph.​

Answers

Answer:

The quadratic function represented by the graph is [tex]y = x^{2}-6\cdot x + 8[/tex].

Step-by-step explanation:

Parabolae are defined by second order polynomials, that is, a polynomial of the form:

[tex]y = a\cdot x^{2} + b\cdot x + c[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a, b, c[/tex] - Coefficients.

By Algebra, we know can calculate the set of all coefficients based on the knowledge of three distinct points. According to the graph, we have the following points: [tex](x_{1}, y_{1}) = (2, 0)[/tex], [tex](x_{2}, y_{2}) = (4, 0)[/tex] and [tex](x_{3}, y_{3}) = (6, 8)[/tex], and the resulting system of linear equations is:

[tex]4\cdot a + 2\cdot b + c = 0[/tex] (2)

[tex]16\cdot a + 4\cdot b + c = 0[/tex] (3)

[tex]36\cdot a + 6\cdot b + c = 8[/tex] (4)

The solution of the system of linear equations is:

[tex]a = 1, b = -6, c = 8[/tex]

Hence, the quadratic function represented by the graph is [tex]y = x^{2}-6\cdot x + 8[/tex].

Which drink has more sugar per fluid ounce? 11 POINTS

Answers

Answer:

essentially the question is if

[tex] \frac{14}{8} or \ \: \frac{12}{7} [/tex]

is more

we can express the two fractions as 98/56 and 96/56

(56 is just 7*8)

now we can see that 14/8 is slightly more than 12/7, Drink a is your answer

Need help with this equation if anyone can respond

Answers

Answer:

120 yards is the answer to the equation

whats the value of 13C11

Answers

Answer:

78

Step-by-step explanation:

[tex]nC_k = \frac{n!}{k!(n-k)!}[/tex]

[tex]13 C_{11} = \frac{13!}{11! \times (13-11)!}[/tex]

        [tex]= \frac{13!}{11! \times 2!}[/tex]

       [tex]= \frac{ 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10\times 11 \times 12 \times 13}{(1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10\times 11 )\times ( 1 \times 2)}[/tex]

        [tex]=\frac{12 \times 13}{2} \\\\= 6 \times 13\\\\=78[/tex]

       

PLEASE HELP GEOMETRY!!!!!
Based on geometric properties, which statements are correct?

A) The formula V = lwh can be used to model the shape of a cake.

B) The formula V = 1/2bhl can be used to model the shape of a tent

C) The formula V = 1/2r³ can be used to model the shape of an apple

D) The formula V = r²h can be used to model the shape of a tree trunk

E) The formula V = 4/3r²h can be used to model the shape of a funnel

Answers

Answer:

I reckon it's B ........

Answer: The answer is A, B, and D.

Step-by-step explanation: I just did it on USATestPrep

Which absolute value equation represents the graph

Answers

Answer:

the first one

Step-by-step explanation:

Hope this helps!

please help. no links!

Answers

Answer:

I think B

Step-by-step explanation:

121.346° is more close to 121.3°, than 121.4°

if i'm wrong, the i'm sorry

9/50 percents and decimals

Answers

Answer:

18% and 0.18

Step-by-step explanation:

converting fraction 9/50 as a percent leaves u with 18%

Given Tan A= 2/3 and that angle A is in quadrant 1, find the exact value of sec A in simplest radical form using a rational denominator.

Answers

Answer:

[tex]\sec A =\frac{\sqrt{13}}{3}[/tex]

Step-by-step explanation:

Given

[tex]\tan A = 2/3[/tex]

Required

[tex]\sec\ A[/tex]

First, we have:

[tex]\tan A = \frac{x}{y}[/tex]

Where

[tex]x \to oppo site\\[/tex]

[tex]y \to adja cent[/tex]

[tex]z \to hypotenuse[/tex]

So:

[tex]\tan A = \frac{x}{y} =\frac{2}{3}[/tex]

By comparison:

[tex]x = 2; y =3[/tex]

Using Pythagoras, we have:

[tex]z^2 = x^2 +y^2[/tex]

[tex]z^2 = 2^2 +3^2[/tex]

[tex]z^2 = 13[/tex]

[tex]z = \sqrt{13[/tex]

[tex]\sec A =\frac{z}{y}[/tex]

[tex]\sec A =\frac{\sqrt{13}}{3}[/tex]

can anyone help with this trig question?? any help would be greatly appreciated! :)

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

Phineas puts $600 into a certificate of deposit that earns 3.09%. If the money is
compounded monthly, how much will it be worth in 4 years?

Answers

Answer: $678.83

Step-by-step explanation:

A = P(1 + r/n)nt

A = 600.00(1 + 0.0309/12)(12)(4)

A = 600.00(1 + 0.002575)(48)

A = $678.83

4-9+8+7+9+10+11+21+33+25-3 minus -50-55+50

Answers

answer is 161, i read minus -50 as subtracting the negative 50

What type of solutions does the quadratic equation, 8v2 + 8 = -11v, have?

Answers

Answer:

Complex roots

Step-by-step explanation:

Given

[tex]8v^2 + 8 = -11v[/tex]

Required

The type of solution

Rewrite as:

[tex]8v^2 +11v+ 8 = 0[/tex]

To determine the type of solution, we simply calculate the discriminant (D)

[tex]D = b^2 - 4ac[/tex]

Where

[tex]a = 8;\ \ \ b =11\ \ \ c = 8[/tex]

So, we have:

[tex]D = 11^2 - 4 * 8 * 8[/tex]

[tex]D = 121 - 256[/tex]

[tex]D = -135[/tex]

The above value implies that:

[tex]D<0[/tex]

When [tex]D<0[/tex], the solution of the equation is: complex roots

Find c,d, & e if A=127 B=90 and F= 111

Answers

Answer:

C) 143

D) 37

E) 74

Step-by-step explanation:

C) 180 - 37 = 143

D) 180 - 143 = 37

E) 180 - 37 - 69 = E

Inequality of y<-4+3 on graph

Answers

Answer:

[tex]y < - 1[/tex]

Step-by-step explanation:

[tex]y < - 4 + 3[/tex]

[tex]y < - 1[/tex]

Hope it is helpful...

[tex] \sf \: y < - 4 + 3 \\ \sf \: y < - 1[/tex]

[tex] \sf \: Just \: add \: - 4 \: and \: 3 \: and \: you \: \\ \sf will \: get \: the \: inequality \: in \: the \: simplest \: form.[/tex]

Geri runs a total of3.1 miles, how many feet is this

Answers

16368 ft!! Hope this helps you!

O TRIGONOMETRIC FUNCTIONS
Arc length and central angle measure
Na
A circular arc has measure 18 in and is intercepted
a central angle of
radians. Find the radius r of the circle.
Do not round any intermediate computations, and round your answer to the nearest tenth.
?

Answers

Answer:

r = 22.9 in.

Step-by-step explanation:

Central angle in radians, ∅ = π/4

Length of arc, S = 18 in.

radius (r) = ?

Length of arc, C = r∅

Plug in the values and find r

18 = r*π/4

18 = (πr)/4

Multiply both sides by 4

4*18 = πr

72 = πr

Divide both sides by π

72/π = r

r = 22.9183118

r = 22.9 in. (Nearest tenth)

i need help with this one plz! (marking BRAINLIST) :) ​

Answers

Answer:

cosθ = 7/25

Step-by-step explanation:

To find hypotenuse, you use Pythagorean's Theorem.

a^2+b^2=c^2

7^2+24^2=c^2

625=c^2

25=c

This means cosθ = 7/25

Which number is GREATEST?
0.27
0.046
0.297
0 0.3

Answers

Answer:

0.3

Step-by-step explanation:

Go left to right for each digit, which one is greater. They all have a decimal so for right now we can’t eliminate any. Next digit we two 2s a 0 and a 3. Whch number is greater? The three! So the greatest number is 0.3.

PLEASE HELP WITH ALGEBRA HOMEWORK.WILL MARK BRAINLIEST

Answers

[tex] {36}^{2x + 5} = {216}^{x - 1} [/tex]

[tex] {6}^{2(2x + 5)} = {6}^{3(x - 1)} [/tex]

[tex] {6}^{(4x + 10)} = {6}^{(3x - 3)} [/tex]

Since bases i.e 6 are same exponents are equal

4x+10= 3x-3

4x-3x = -3-10

x= -13

Answer:

x = -13

Step-by-step explanation:

36 = 6^2

216 = 6^3

36^(2x + 5) = 6^(2)^(2x + 5)

When taking an exponent to an exponet: multiply the exponents

36^(2x + 5) = 6^(4x + 10)

216^(x - 1) = 6^(3)^(x - 1)

When taking an exponent to an exponet: multiply the exponents

216^(x - 1) = 6^(3x - 3)

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

Therefor

6^(4x + 10) = 6^(3x - 3)

Since the bases are the same the exponents are equal

4x + 10 = 3x - 3

Subtract 3x from both sides

x + 10 = -3

subtract 10 from both sides

x = -13

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