Find the measure of the marked angles.

(11x + 17) = ____.

(13x - 1) = ____.

Find The Measure Of The Marked Angles.(11x + 17) = ____.(13x - 1) = ____.

Answers

Answer 1

Answer:

(11x + 17) = 116°

(13x - 1) = 116°

Step-by-step explanation:

(11x + 17) and (13x - 1) are equal because they are vertically opposite angles.

11x + 17 = 13x - 1

2x = 18

x = 9

Substitute x = 9 into angle measures.

11(9) + 17 = 116°

Since both angles are equal, (13x - 1) is also 116°.


Related Questions

What is the solution of the following system?

Use the substitution method.

{y+7=3x6x−2y=12

Responses

The only solution is (14, 12) .
The only solution is , begin ordered pair 14 comma 12 end ordered pair, .

The only solution is (12, 14) .
The only solution is , begin ordered pair 12 comma 14 end ordered pair, .

There is no solution.
There is no solution.

There are an infinite number of solutions.

Answers

The given system of equations has no solution.

What is substitution method?

In order to solve a system of equations, the substitution approach is typically utilized in mathematics. The first equation involving the variable must be solved using this procedure before the variable's value is substituted in the second equation.

Consider, the given system of equations,

y + 7 = 3x          ..(1)

6x - 2y = 12             ..(2)

From equation (1),

y = 3x - 7.

Substitute value of (y) in inequation (2),

6x - 2(3x - 7) = 12

6x - 6x - 14 = 12

            -14 = 12

It is not possible to solve -14 = 12.

Therefore, the given system of equations has no solution.

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a quantity with an initial value of 5900 decays exponentially at a rate of 0.85% every 7 years. what is the value of the quantity after 99 months, to the nearest hundredth?

Answers

The value of the quantity after 99 months is 5228.58.

Given that,  an initial value = 5900, rate of decay = 0.85% and time period = 7 years.

What is the exponential decay?

The quantity decreases slowly after which the rate of change and the rate of growth decreases over a period of time rapidly. This decrease in growth is calculated by using the exponential decay formula.

The exponential decay formula formula is [tex]Amount=Initial\ value(1-\frac{r}{100} )^{\frac{t}{n} }[/tex]

Here, the value [tex]=5900(1-\frac{0.85}{100} )^{\frac{99}{7} }[/tex]

= 5900×[tex](0.9915)^{14.14}[/tex]

= 5900×0.8862

= 5228.58

Therefore, the value of the quantity after 99 months is 5228.58.

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Find the equation of a line in slope-intercept form that is parallel to the line y = -2x + 3 and passes through the point (8, -4).

Answers

The equation y = -2x +12 in slope - intercept form.

Find the slope of the line that is parallel to y = -2x +3

Slope (m) = -2

Substitute and calculate ;

m = -2, x = 8 ,y = -4 into y = mx + b

-4 = -2 x 8 + b

Calculate the product :

-4 = -16 + b

Calculate the sum or difference:

-b = -12

b = 12

Again, Substitute m = -2 , b = 12 into y = mx +b :

y = -2x + 12

Rewrite the equation y = -2x + 12 in slope - intercept form:

y = -2x + 12

Hence, The equation y = -2x +12 in slope - intercept form.

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What is the slope of the line shown in the graph? Express your answer as an improper fraction or as an integer as appropriate. Show your work.

Answers

3/2 i believe!
go up 3 from point 1, and then over 2. hope this helps:)

Solve the simultaneous equation

y = 2 - x 6x + 5y = 11

x + 2y = 2 2x + y = 1

Answers

The solution for the -

Simultaneous equation [1]

y = 2 - x

6x + 5y = 11

is (1, 1)

AND

Simultaneous equations [2]

x + 2y = 2

2x + y = 1

is (0, 1)

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following set of equations

Simultaneous equation [1]

y = 2 - x

6x + 5y = 11

Simultaneous equations [2]

x + 2y = 2

2x + y = 1

These are the equations of a straight line. Plotting the graphs and finding the point of intersection would give us the solution. It can be seen from the graphs that the solution is given for first set is of simultaneous equations as (1, 1) and the second set of simultaneous equations as (0, 1)

Refer to the two graphs attached.

Therefore, the solution for the -

Simultaneous equation [1]

y = 2 - x

6x + 5y = 11

is

(1, 1)

AND

Simultaneous equations [2]

x + 2y = 2

2x + y = 1

is

(0, 1)

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5 A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower
to a metal stake in the ground. After placing the pole, Zoe measures the distance from
the pole to the stake and from the pole to the tower, as shown in the diagram below.
Find the length of the guy wire, to the nearest foot.

Answers

The length of the guys wire to the nearest foot is 56 feet.

How to find the length of the guy wire?

The pole 5 ft tall is used to support the guy wire for the tower, which runs from the tower to a metal stake in the ground.

The situations forms a right angle triangle.

Therefore, the length of the guy wire can be found as follows:

Using trigonometric ratios, we can find the angle the guy wire made with the ground.

tan ∅ = opposite / adjacent

tan ∅ = 5 / 1

∅ = tan ⁻¹ 5

∅ = 78.690067526

∅ = 78.69°

Therefore, let's find the length of the guy wire using the angle.

cos 78.69° =  adjacent / hypotenuse

0.1961172908 = 11 / h

h = 11 / 0.1961172908

h = 56.088884361

Therefore,

length of the guy wire = 56 feet

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Please help need it in the next 5 mins

Answers

Answer:

y = 4x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

here m = 4 , then

y = 4x + c ← is the partial equation

to find c substitute (2, 9 ) into the partial equation

9 = 8 + c ⇒ c = 9 - 8 = 1

y = 4x + 1 ← equation of line

Makayla spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 5750 feet. Makayla initially measures an angle of elevation of 16^{\circ} ∘ to the plane at point AA. At some later time, she measures an angle of elevation of 31^{\circ} ∘ to the plane at point BB. Find the distance the plane traveled from point A to point B. Round your answer to the nearest foot if necessary.

Answers

The distance the plane traveled from point A to point B is 10952 feet approx.

To solve this we have to use the Pythagoras theorem.

Given that the plane is at a constant height which can be supposed as the perpendicular (i.e 5750 feet) for the triangle which the plane , ground and the makayla make.

Now when the plane is at the A point then the angle of the elevation is 16°, so the distance from the makayla the plane  is :

tanθ = P/B,

B(distance of makayla to plane on ground at point A) = P/tanθ ,

B = 5750 / tan 16°,

B = 5750/ 0.28;

B1 = 20535 feet approx

Similarly when the plane reach at the point B then the angle of the elevation is 31° then the distance from the makayla and the plane would be different, which will be :

tanθ = P/B,

B(distance of makayla to plane on ground at point B) = P/tanθ ,

B = 5750 / tan 31°

B = 5750 / 0.6

B2 = 9583 feet approx

now the distance traveled by the plane is B1 - B2 :

which is 20535  - 9583

10952 feet approx

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Answer:10483

Step-by-step explanation:

There were 500 lions in an African nature
reserve. 3 years later there were 864 lions in
the same nature reserve.
a) Work out the percentage increase per year,
assuming that the number of lions increased
by the same percentage each year.
b) Use your answer to part a) to predict the
number of lions in the nature reserve after
another year.
Round your answer to the nearest integer.

Answers

The percentage increase per year, assuming that the number of lions increased by the same percentage each year is 20%.

Given that, there were 500 lions in an African nature reserve. 3 years later there were 864 lions in the same nature reserve.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the percentage increase per year be x.

a) According to the question,

500(1+x)³=864

⇒ (1+x)³=864/500

⇒ (1+x)³=1.728

⇒ 1+x= 1.2

⇒ x =0.2

In percentage 20%

b) [tex]500(1+0.2)^1[/tex]

= $600

Hence, the percentage increase per year, assuming that the number of lions increased by the same percentage each year is 20%.

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Instructions
Type an essay response to the following prompt. Completely explain all parts of your response and use the rubric to determine what you need to include in your essay.

Create and solve a story problem that would use this equation: y=5x+3 Be sure to define x, y, the constant, the coefficient and the variable.

Answers

A statement of the equation could be as; "John bought y oranges which are 5 times the apples more than 3".

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The information provided is that the real-world situation in which opposite quantities combine to make zero.

We have been given an equation as y = 5x + 3

A statement of equation could be as; "John bought y oranges which are 5 times the apples more than 3".

If the number of apple x is 6 then;

y = 5x + 3

y = 5(6) + 3

y = 33

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Any help on this? ;-;

Answers

Answer:

last one: 20

Step-by-step explanation:

4 divided by 5 is 0.8

so is 20 divided by 25

3.57x10^9 in scientific notation

Answers

Answer:

3.57 × 10⁹

Step-by-step explanation:

Scientific Notation:

a × 10ᵇ

*Note: Your problem is already in scientific notation.

Answer: 3,570,000,000

Step-by-step explanation:

Your problem is already in scientific notation but if you are trying to turn it into a standard form, then that is the answer

Find the derivative of √2-3x using first principle method​

Answers

First derivative of the given function √2-3x  using first principle method is equal to -3.

As given in the question,

Given function is equal to :

f(x) = √2-3x

First derivative of the given function √2-3x  using first principle method is given by:

    f'(x) = [tex]\lim_{h \to \ 0}[/tex] [ (f(x +h) -f(x) ) / h]

Substitute the value of the function we get,

⇒f'(x) =  [tex]\lim_{h \to \ 0}[/tex] [ √2 -3(x +h ) - (√2 -3x) ] /h

⇒f'(x) =  [tex]\lim_{h \to \ 0}[/tex] [ √2 -3x -3h -√2 +3 x]/ h

⇒f'(x) =  [tex]\lim_{h \to \ 0}[/tex] (-3)

⇒f'(x) = -3

Therefore, first derivative of the given function √2-3x  using first principle method is equal to -3.

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Given m \| nm∥n, find the value of x.

Answers

The value of x is 6.67 degrees.

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

The (5x + 9)° angle on line m and the (7x -  9)° angle on line n are corresponding angles.

We have given that Line m and Line n are parallel.

t line is the transversal line on the two parallel lines, line m and line n.

We see that,

(5x + 9)° angle on line m is corresponding to the  (7x -  9)° angle on line n.

So,

(5x + 9)° +  (7x -  9)° = 180

12x = 180

x = 80 /12

x = 6.67

Thus, The value of x is 6.67 degrees.

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A 0. 2 kg red ball is thrown horizontally at a speed of 4 m/s from a height of 3 m. A 0. 4 kg green ball is thrown horizontally from the same height at a speed of 8 m/s. Compared to the time it takes the red ball to reach the ground, the time it takes the green ball to reach the ground is.

Answers

The ratio of time that the red ball reaches the ground when compared with the green ball is 2:1

By using the equations of motion we first find the acceleration and time of both the balls using [tex]v^{2} -u^{2} =2as[/tex] and [tex]v=u+at[/tex]

where,

v=final velocity,

u=intial velocity,

a=acceleration,

s=height,

t=time

For the red ball,[tex]v^{2} -u^{2} =2as[/tex], v=4m/s, u=0m/s, s=3m by substitiuting in the equation we get ,

[tex]4^{2} -0^{2} =2*a*3[/tex],

acceleration=a=16/6=8/3,

[tex]v=u+at[/tex] by substituting we get,

4=0+8/3*t,

time taken by the red ball to reach ground t=3/2

For the green ball,[tex]v^{2} -u^{2} =2as[/tex], v=8m/s, u=0m/s, s=3m by substituting in the equation we get ,

[tex]8^{2} -0^{2} =2*a*3[/tex],

acceleration=a=64/6=32/3,

[tex]v=u+at[/tex] by substituting we get,

8=0+32/3*t,

time is taken by the green ball to reach ground t=3/4

and their ratio of time red ball/green ball=(3/2)/(3/4)=2/1,

hence time to reach the ground is independent of their mass

therefore, the ratio of time that the red ball reaches the ground when compared with the green ball is 2:1

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if a fair penny is tossed four times and comes up heads all four times, the probability of heads on the fifth trial is . a. .20 b. 0 c. .03125 d. .50

Answers

The probability of getting all heads when flipping a coin four times is 1/16.

(HHHH), (HHHT), (HHTH), (HHTT), (HTHH), (HTHT), (HTTH), (HTTT), (THHH), (THHT), (THTH), (THTT), (TTHH), (TTHT), (TTTH), (TTTT) are some examples of spaces.

There were 16 total outcomes.

Probability going out of control

HHHH P(A) = P(getting all heads) = 1/16

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The length of a line is given as 12.2 cm, rounded to the nearest tenth of a cm.
a) What is the lower bound of the length of the line?
b)
What is the upper bound of the length of the line?

Answers

a) The lower bound of the length of the line is 12.12

b) The upper bound of the length of the line is 12.25

What is a lower bound?

The least value that would round up to the predicted value is the lower bound. The smallest value that would round up to the following anticipated value is the upper bound.

What is an upper bound?

A value that is greater than or equal to every element of a set of data.

What is the difference between the lower and upper bound?

An element of K that is greater than or equal to each element of S is known in mathematics as an upper bound or majorant of the subset S of some preordered set (K, ), especially in order theory. In addition, each element of K that is less than or equal to each element of S is characterized as a lower bound or minorant of S.

Here,

We have to find the lower bound and upper bound of 12.2

We get a lower bound = 12.12

and upper bound = 12.25

Hence, a) The lower bound of the length of the line is 12.12

b) The upper bound of the length of the line is 12.25

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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

9.34 billions of pounds

Hope that helps ;)

the side lengths of the state flag of Michigan are in the ratio 4:7. if the flag is 28 feet long, what is its height?

Answers

If the side lengths of the state flag of Michigan are in the ratio 4:7. when the flag is 28 feet long the height will be 49 feet

How to calculate the height of the flag

The height of the flag is calculated using the scale factors,  4 : 7

if 4 is equivalent to 28 what would 7 be

4 / 7 = 28 / ?

4 * ? = 7 * 28

? = 7 * 28 / 4

? = 49 feet

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Mathematics
Need help asap

Answers

a) the acceleration = 0.028 m/s²

b) constant speed = 10m/s

d) Distance travelled during first 10 sec = 50m

e) Distance travelled during last 10 sec = 75m

f) the total distance travelled = 350 m

Total distance travelled during first 10 sec = area of triangle

= 1/2 * 10 * 10

= 50m

Total distance travelled during next 15 sec = area of square

= 15 * 15

= 225

Total distance travelled during last 10 sec = area of triangle

= 1/2 * 10 * 15

= 75m

Total distance travelled = 50 + 225 + 75

= 350m

Velocity = Total distance / Time taken

= 350/ 35

= 10m/s

Acceleration = Velocity / time taken

= 10 / 35

= 0.028 m/s²

c)

= -0.028 m/s²

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M∠3 is (3x 4)° and m∠5 is (2x 11)°. angles 3 and 5 are . the equation can be used to solve for x. m∠5 = °

Answers

Answer:

Part a) consecutive interior angles

Part b) 

Part c) m∠5=

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Part a) Angles 3 and 5 are consecutive interior angles

therefore

m∠3+m∠5=

Part b) we have

m∠3=

m∠5=

substitute

Part c) solve for x

Find the value of m∠5

m∠5=

m∠5=

Answer:

Step-by-step explanation ma is 9 because p + i=o K/x 798 g ćxΨ / ʥ and 78 / 2 +e =9 then oi x l = j j also = 6 and that's how you do it

What set of reflections would carry hexagon abcdef onto itself? hexagon abcdef on the coordinate plane with point a at 0, 1, point b at negative 1, 0, point c at negative 2, 1, point d at negative 2, 3, point e at negative 1, 4, and point f at 0, 3. x‒axis, y = x, x‒axis, y = x y-axis, x‒axis, y-axis x‒axis, y-axis, y-axis y = x, x‒axis, y = x, y-axis

Answers

The correct answer to reflection of hexagon  is Option B

y=x, x-axis, y=x, y-axis

What is hexagon?

6-sided polygon is called hexagon , it is type of polygon( a plane figure made up of lines).

Main body:

using point B(−3,1)

Across the line y=x(x,y)→(y,x)

so we get (1,−3)

Across the x-axis (x,y)→(x,−y)

we get (1,3)

Across the line y=x(x,y)→(y,x)

we get (3,1)

Across the y-axis (x,y)→(−x,y)

we get (−3,1)

Hence the option B is correct.

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an urn contains two red balls and three white balls. if a ball is chosen at random, what is the probability that it is white?

Answers

If an urn contains two red balls and three white balls and a ball is chosen at random, then the probability of getting white ball is 3/5

The number of red balls = 2 balls

The number of white balls = 3 balls

Total number of balls = 2 + 3

= 5 balls

The probability = Number of favorable outcomes / Total number of outcomes

Number of favorable outcomes = Number of white balls = 3

Total number of outcomes = 5

The probability = 3/5

Hence, if an urn contains two red balls and three white balls and a ball is chosen at random, then the probability of getting white is 3/5

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Graph the linear equation x = 4

Answers

Answer:draw a vertical line on the 4th line on the x axis(the horizontal one)

Step-by-step explanation:

Rite Aid sells 8 ounces of shampoo for $0.89 and Walgreens sells 12 ounces for $1.47 which is the better buy?

Answers

8 ounces for $1.47. It comes out to $0.07 per ounce compared to $0.12 per ounce.

Answer:Rite aid

Step-by-step explanation:

8 ounces for $1.47. It comes out to $0.07 per ounce compared to $0.12 per ounce.

Find x and y so that the quadrilateral is a parallelogram. Answer below and show work.

Answers

If the given quadrilateral is a parallelogram, then the value of x = 8  and the value of y = 9

The given quadrilateral is a parallelogram.

Then the opposite side of of the parallelogram will be equal

Then the equation will be

4x - 17 = 2x - 1

4x - 2x = -1 + 17

2x = 16

x = 16/2

Divide the terms

x = 8

Similarly given angles will be equal

3y + 5 = 5y - 13

5y - 3y = 5 + 13

2y = 18

y = 18 / 2

Divide the terms

y = 9

Hence, the if the given quadrilateral is a parallelogram, then the value of x = 8  and the value of y = 9

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1/3 Marks
10/29 Marks
Here is a pattern made from sticks:
a) How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?
32
6n

Answers

The number of sticks in the sixth and nth patterns will be 32 and 5n + 2, respectively.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

In the first pattern, the number of sticks is 7. Then in each succession of the pattern, 5 sticks are added, then the number of sticks in the nth pattern will be given as,

aₙ = 7 + (n - 1) × 5

aₙ = 7 + 5n - 5

aₙ = 5n + 2

The number of sticks in the 6th pattern will be calculated as,

a₆ = 7 + (6 - 1) × 5

a₆ = 7 + 5 × 5

a₆ = 7 + 25

a₆ = 32

The number of sticks in the sixth and nth patterns will be 32 and 5n + 2, respectively.

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Help right now please!
Andrew believes that the probability that he will win the tennis match is 39% What
is the probability that he will lose the match?

Answers

Answer:

39%

Step-by-step explanation:

Write 8/5 as a mixed number.

Answers

Answer:1 3/5

Step-by-step explanation:

All you have to do is we take quotient 1 as a whole part and in the fractional part remainder 1 as the numerator, and divisor 5 as the denominator.

Answer:1 3/5

Step-by-step explanation: 8/5-5/5= 3/5 so that leaves you with 1 3/5

You have $20 and you make $5 an hour at your job. Your brother has $10 and makes $10 an hour at his job. Write and solve an equation to find out how many hours it will take for you and your brother to have the same amount of money.

Answers

Answer:

Let h = number of hours.

[tex]20 + 5h = 10 + 10h[/tex]

[tex]4 + h = 2 + 2h[/tex]

[tex]4 = 2 + h[/tex]

[tex]h = 2[/tex]

In 2 hours, we will have the same amount of money.

Other Questions
a cone-shaped paper drinking cup is to be made to hold 27cm3 of water. find the height and radius of the cup that will use the smallest amount of paper. Which number sentence is true? A. B. C. D. a baby that is low in birth weight weighs less than about 5.5 pounds or 2,500 grams. true or false Jonas is a runner. He ran m miles last week. His goal this week was to run one mile more than twice the miles he ran last week. If he tripled his goal, write an expression in simplest form to show how many more miles he ran this week compared to last. Which figure famously recanted his scientific theories in 1633 after having been put on trial for heresy?. Whats an equation showing the beta decay of the Hydrogen-3 in his acrylic painting coalopolis, ralph m. larmann employs a technique used by jan van eyck and other early oil painters in which thin transparent layers of color are applied on top of each other to lend the image a strange glow. what is this process called? what was the change of the relationship between american settlers and indigenous people in the period 1760's to the 1800's Please help. Pls. I will give you brainliest. You dont have to write 200 words Just choose a topic and write some sentences- I will do the rest ~~~Ty Find the area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees. Two cars leave at the same time but travel at different speeds. car a travels 20 miles per hour faster than car b. in the time it takes car a to travel 350 miles, car b travels 250 miles. find the speed of car a. Is the author of the following document for or against American imperialism? Use specific details from the document to explain his argument. Must be 4-5 sentences and include one quote to go along with your analysis. Choose the best spanish equivalent to the phrase. the family used to visit the grandparents for their anniversary. la familia visitaba a los abuelos en su aniversario. la familia visit a los abuelos en su aniversario. la familia visitando a los abuelos en su aniversario. la familia fue a visitar a los abuelos en su aniversario. You used 8 cups of sugar while bakingthree dozen cookies and one cake. If youused 1.25cups of sugar for the cake andthe same amount of sugar for each dozenof cookies, how much sugar was used foreach dozen of cookies? expansionary fiscal policy that creates a budget deficit can lead to crowding out. this crowding out effect is exhibited by Gold, God, and Glory...why was that the theme of the years 1450 to 1750 in World History?Type a 1500 word essay on a document explaining in detail what was meant by Gold, God, and Glory as it relates to the period of history between 1450 and 1750. Please ASAP. Thanks soooooo much!!!!!!!! tom laird, cfa, subscribes to several different analytical and research reporting services, reviews their research, and presents the analysis he believes is accurate to his clients. laird attributes the material to its sources. laird's method of providing analysis to his clients: through: (-4, 3), perp. to y = -2x+5 X=1 x=-8 Are the two linear equations parallel, perpendicular, or neither?