Find the measure of the numbered angles in the kite:m∠1=m∠2=

Find The Measure Of The Numbered Angles In The Kite:m1=m2=

Answers

Answer 1

Answer:

• m∠1 = 98°

,

• m∠2 = 98°

Explanation:

In a kite, the two angles are equal where the unequal sides meet.

Thus, m∠1=m∠2

The sum of the angles in any quadrilateral is 360 degrees.

\(\begin{gathered} 74\degree+90\degree+m\angle1+m\angle2=360\degree \\ Given\text{ that }m\angle1=m\angle2 \\ 164\degree+m\angle1+m\angle1=360\degree \\ 164\degree+2m\angle1=360\degree \\ 2m\angle1=360\degree-164\degree \\ 2m\angle1=196\degree \\ m\angle1=\frac{196\degree}{2} \\ m\angle1=98\degree \end{gathered}\)

Therefore, the measure of the numbered angles in the kite is:

• m∠1 = 98°

,

• m∠2 = 98°


Related Questions

HELP WILL GIVE BRANLIEST AND EXTRA POINTS!

HELP WILL GIVE BRANLIEST AND EXTRA POINTS!

Answers

Answer:

The answer is D

Step-by-step explanation:

You just use this equation to find it

A=2(wl+hl+hw)

What is the difference between a two step equation and a multi-step equation?

Answers

Answer:

When solving a multi step equation, you use PEMDAS (parentheses, exponents, multiplication, division, add, subtract), and you also use PEMDAS when solving a multi step inequality. However, inequalities are tricky in the fact that if you multiply or divide by a negative number, you must flip the sign. And while normally there are 1 or 2 solutions to a multi step equation, in the form of x= #, you'll have the same thing, but with an inequality sign (or signs).

A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

hope it helped

Which of the following represents vector vector w equals open angle bracket negative 21 comma negative 20 close angle bracket in trigonometric form?

w = 29(cos 46.603°i + sin 46.603°j)

w = 29(cos 223.603°i + sin 223.603°j)

w = 29(sin 46.603°i + cos 46.603°j)

w = 29(sin 223.603°i + cos 223.603°j)

Answers

The vector w in trigonometric form is B. w = 29(cos 223.603°i + sin 223.603°j). Therefore,  option B: w = 29(cos 223.603°i + sin 223.603°j) is correct.

To represent a vector in trigonometric form, we need to find the magnitude and angle of the vector. Given the vector w = <-21,-20>, the magnitude can be found using the Pythagorean theorem as:

\(|w| = \sqrt{((-21)^2 + (-20)^2) } = 29\)

Next, we need to find the angle of the vector. Since the vector has negative components, the angle will be in the third or fourth quadrant. We can find the angle using the arctangent function as:

theta = arctan(-20/-21) = 46.603 degrees

Since the angle is in the fourth quadrant, we need to add 180 degrees to get the angle in trigonometric form:

theta = 46.603 + 180 = 223.603 degrees

Therefore, the vector w in trigonometric form is:

w = 29(cos 223.603°i + sin 223.603°j)

Hence, the correct answer is option B: w = 29(cos 223.603°i + sin 223.603°j).

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i need help. please ​

i need help. please

Answers

Answer:

what are we supposed to do

Step-by-step explanation:

im confused

4. A bus drives 1 mile west and 4 miles north. Sketch the path of the bus and find the straight line distance and angle from the bus's location to its starting point. (Hint: Use Tan¹ to find the angle whose Tangent is 4/1)​

Answers

The distance of the straight line is √17 miles and the angle formed is

75.96°.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A bus drives 1 mile west and 4 miles north.

Let, The distance the bus travels along the west be adjacent and the distance traveled in the north be the height.

So, By Pythagoras' theorem,

The straight line distance = √(1² + 4²).

= √(1 + 16) miles.

= √17 miles.

Now, We know tan = opposite/adjacent.

tan = 4/1.

tan⁻¹(4/1) = Ф.

Ф = 75.96°.

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Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0

Answers

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

How many pounds of pure sulfur are contained in 3,300 lb of coal that has 6 % pure sulfur content?

Answers

Given:

There are 3300 lb of coal having 6% of pure sulfur content.

Required:

To find the pounds of pure sulfur.

Explanation:

The pounds of pure sulfur is,

\(\begin{gathered} =\frac{6}{100}\times3300 \\ \\ =198lb \end{gathered}\)

Final Answer:

198lb of pure sulfur are contained in 3300 lb of coal.

If one side of a right triangle is 5 and the other is 12 what is the length of the hypotenuse.

Answers

Let us sketch out the triangle,

To solve for the unknown length, we will adopt the method of Pythagoras theorem,

\(\begin{gathered} \text{Pythagoras theorem,} \\ x^2=y^2+z^2 \end{gathered}\)\(\begin{gathered} \text{where x=?} \\ y=12 \\ z=5 \end{gathered}\)\(\begin{gathered} x^2=12^2+5^2 \\ x^2=144+25 \end{gathered}\)\(\begin{gathered} x=\sqrt[]{169} \\ x=13 \\ \text{Hence, the length of the hypotenuse is 13 units.} \end{gathered}\)

Hence, the length of the hypotenuse is 13units.

If one side of a right triangle is 5 and the other is 12 what is the length of the hypotenuse.

solve for x

(look at photo)

solve for x(look at photo)

Answers

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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A walking path across a park is represented by the equation y=-2x-7. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-2,-3). Identify the equation that represents the new path.
10-
10
510

Answers

The equation of the new path is y = -1/2x - 4

How to determine the equation?

The equation is given as:

y = 2x - 7

A linear equation is represented as:

y = mx + c

Where m represents slope

This means that:

m = 2

Let the slope of the perpendicular equation be n.

The condition of perpendicular lines is

n = -1/m

So, we have:

n = -1/2

The equation of the new path is then calculated using:

y = n(x - x1) + y1

So, we have:

y= -1/2(x + 2) - 3

Expand

y = -1/2x - 4

Hence, the equation of the new path is y = -1/2x - 4

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i need help please AND HOW U GOT THE ANSWER PLS PLS

i need help please AND HOW U GOT THE ANSWER PLS PLS

Answers

Answer:

1. Yes, all of the measurements are equal

2. A

3. B

4. B

Step-by-step explanation:

1. Congruent shapes have all equal measurements

2. If they are congruent, the sides that align with each other are also congruent

3. If they are congruent, the angles that align with each other are also congruent

4. If they are congruent, then <B and <E are equal to each other... <B = 65 degrees meaning so does <E

- hope this helps! :)

making a sandwich from white, wheat, or rye bread, cheddar or Swiss cheese, and ham, turkey, or roast beef. How much sample spaces are there?

Answers

Answer: 8

Step-by-step explanation:

Evaluate 3^x for x = −2, x = 1, and x = 3.

Evaluate 3^x for x = 2, x = 1, and x = 3.

Answers

We need to evaluate the exponential function for some values of x.

First, remember that:

\(3^x=3\cdot3\cdot3\cdot3\ldots\cdot3\text{ (x factors)}\)

For example:

\(3^2=3\cdot3\text{ (two factors)}\)

Also, the negative exponent inverts the base:

\(3^{-a}=(\frac{1}{3})^a\)

So, for x = -2, we have:

\(3^{-2}=(\frac{1}{3})^2=\frac{1}{3}\cdot\frac{1}{3}=\frac{1}{9}\)

For x = 1, we have:

\(3^1=3\)

For x = 3, we have:

\(3^3=3\cdot3\cdot3=27\)

Therefore, the answer is:

1/9, 3, 27

the marked price of a car is £600000. what will be the discount if 5% is allowed​

Answers

Answer:

30000

Step-by-step explanation:

discount (d)= 5%of M.p

=5/100 * 600000

=30000

3. Here is a pattern on a grid. What percentage of the grid is shaded?​

Answers

Answer:

count the amount shaded and put that as your numerator (top number of fraction) and the total amount of boxes on the grid as your denominator (Bottom number of fraction) and convert the fraction to a decimal and that will be your percentage of gid shaded

This simple question does not require any statistical calculations, only statistical knowledge. The showerhead heights at a men’s athletic locker room were designed to be 72 inches which is well above the mean height of 69.5”. The heights of the athletes are normally distributed. From the choices listed below, which is more likely to be true: a, b or c?



a.The mean height for a randomly selected sample of 20 players is more than 72 inches.

b.The height of one randomly selected player is more than 72 inches.

c.Both a and b are equally likely.
Why? (Justify your answer with a short answer.)

Answers

That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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center (-4, -7), tangent to x = 2

Answers

Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

Find the x- and y-intercept x + 4y = 36

Answers

Answer:

x= 36 and y= 9

Step-by-step explanation:

because I said so. jk math

Answer:

x-intercept: 36

y-intercept: 9

Step-by-step explanation:

Hi there!

What we need to know:

The x-intercept occurs when y=0The y-intercept occurs when x=0

1) Determine the x-intercept

\(x + 4y = 36\)

Plug in 0 for y

\(x + 4(0) = 36\\x=36\)

Therefore, the x-intercept is 36.

2) Determine the y-intercept

\(x + 4y = 36\)

Plug in 0 for x

\(0 + 4y = 36\\4y = 36\)

Divide both sides by 4

\(y=9\)

Therefore, the y-intercept is 9.

I hope this helps!

Where is probability, data, trends, likelihoods and/or statistics used in veterinarian? Be specific and explain.

Answers

Probability, data, trends, likelihoods, and statistics are extensively utilized in veterinary medicine for disease surveillance, diagnostic testing, clinical research, drug efficacy evaluation, risk assessment, and predictive modeling. By employing given tools, veterinarians can make evidence-based decisions, enhance patient care, and improve overall animal health outcomes.

Probability, data, trends, likelihoods, and statistics are used in various aspects of veterinary medicine to inform decision-making, assess risk, and improve patient outcomes.

Here are some specific examples:

Epidemiology and Disease Surveillance: Veterinarians use probability and statistics to track and analyze disease trends in animal populations. By collecting and analyzing data on disease occurrence, veterinarians can identify patterns, determine risk factors, and develop strategies for prevention and control.

Diagnostic Testing: Veterinary medicine often relies on diagnostic tests to detect and confirm the presence of diseases in animals. Probability plays a crucial role in interpreting test results. Veterinarians use statistics to determine the sensitivity (the probability of a positive test result given that the disease is present) and specificity (the probability of a negative test result given that the disease is absent) of different tests. These measures help assess the accuracy and reliability of diagnostic tests and guide treatment decisions.

Clinical Research and Evidence-Based Medicine: Probability, data, and statistics are fundamental in conducting clinical research in veterinary medicine. Researchers use statistical analysis to evaluate the effectiveness of treatments, compare different interventions, and assess clinical outcomes. This allows veterinarians to make evidence-based decisions when selecting treatments and managing patients. Additionally, statistics help determine sample sizes, calculate confidence intervals, and perform statistical tests to determine the significance of research findings.

Pharmacology and Drug Efficacy: Probability and statistics are used to assess the effectiveness and safety of medications in veterinary medicine. Clinical trials employ statistical methods to determine the optimal dosage, evaluate drug interactions, and assess the likelihood of adverse effects. These statistical analyses help veterinarians understand the benefits and risks associated with specific drugs, enabling them to make informed decisions when prescribing medications.

Risk Assessment and Predictive Modeling: Veterinarians often use probability and statistics to assess risks and predict outcomes in various scenarios. For example, when evaluating surgical procedures, veterinarians may use statistical models to predict the likelihood of complications or postoperative outcomes.

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Jenny has 8 coins. The amount of her coins is 67 cents. What coins does Jenny have? ​

Answers

Answer: 1 quarter, 3 dimes, 2 nickels, and 2 pennies

Step-by-step explanation:

8 coins.

1 quarters = 25¢

42¢ = 2 pennies and 3 dimes and 2 nickels

The perimeter of a rectangular restaurant kitchen is 56 meters. The area is 171 square meters. What are the dimensions of the kitchen?

Answers

answer: b = 9metres

l = 19metres

The perimeter of a rectangular restaurant kitchen is 56 meters. The area is 171 square meters. What are

Answer:

Dimensions are L=19, w=9, or L=9, w=19

Step-by-step explanation:

Perimeter P=2(L+W)

So,  56=2(L+W)

       28=L+W

        L=28-W

Area         A=L*W

Because A=171, so 171=L*W

Substituting the expressions: put L=28-w, to 171=L*W,

So, 171=(28-W)W

     171=28w-w²

     W²-28W+171=0

      (W-9)(W-19)=0

      W=9, or W=19

We got L=28-W before, so when w=9, put to L=28-W, so, L=19

Dimensions are L=19, w=9, or L=9, w=19

I need to know if it’s A B C OR D

I need to know if its A B C OR D

Answers

Answer

68°

Explanation

Given:

m ∠O = (4x)°, m ∠M = (8x - 24)°

From the diagram,

m ∠M + m ∠O = 180° (Opposite angles of a cyclic quadrilateral is supplementary).

⇒ (8x - 24)° + (4x)° = 180°

Remove the brackets

8x - 24 + 4x = 180

Collect the like terms together

8x + 4x = 180 + 24

12x = 204

Divide both sides by the coefficient of x

12x/12 = 204/12

x = 17

Now, the given m ∠NOP = 4x

Substitute x = 17 into m ∠NOP

⇒4 x 17 = 68°

x y
10 8
20 16
30 20
40 24

Answers

Answer:

Its A or well the first answer

Step-by-step explanation:

pls simplify these two problems:

pls simplify these two problems:
pls simplify these two problems:

Answers

Answer:

Step-by-step explanation:

1 )

\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)

2 )

\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)

I need step by step answer to my question

Answers

Step-by-step explanation:

what is your questions

Answer:

The answer would be 13.5 pints

Step-by-step explanation:

when you do 2 gallons - 2 pints you get 1.75 gallons

then when you do 1.75 - 1 cup you get 13.5 pints

A particle is moved along the x-axis by a force that measures 8/(3 + x)2 pounds at a point x feet from the origin. Find the work W done in moving the particle from the origin to a distance of 9 ft.

Answers

Answer:

  2 ft·lb

Step-by-step explanation:

You want the work done on a particle moving it from 0 to 9 ft using a force that is 8/(3+x)² pounds at each point.

Work

The incremental work is the product of the force and the incremental distance:

  dW = 8/(3+x)²·dx

The work done over the distance of interest is the integral of this incremental work over that distance.

 \(\displaystyle W=\int_0^9{\dfrac{8}{(x+3)^2}}\,dx=(-8(x+3)^{-1})_0^9=-8\left(\dfrac{1}{12}-\dfrac{1}{3}\right)=2\)

The work done on the particle is 2 ft·lb.

A particle is moved along the x-axis by a force that measures 8/(3 + x)2 pounds at a point x feet from

From past experience, it is known that a telemarketer makes a sale with probability 0.2. Assuming that results from one call to the next are independent. Determine the probability that telemarketer makes:___.
a. the first sale on the third call
b. the first sale after the third call
c. the second sale on the fifth call
d. the second sale before the fifth call

Answers

It could be A no C but maybe D but B also looks like a great option to choose

what's 0/0, with full steps​

Answers

Answer:

undefined

Step-by-step explanation:

division by zero is undefined

Division Property of zero

For any nonzero real number a

The quotient of "a" and 0 is undefined. That is a/0 is undefined

Since we know our 24% to be true based on historical data, do you think that Avery had a case against the state of Georgia for not giving him a “trial of his peers?” Justify your response with a couple of sentences.

Answers

The Avery had a case against the state of Georgia for not giving him a “trial of his peers"  that the jury's final pick does not correspond to its real likelihood, and events occurred arbitrarily more frequently.

1)Black Americans make up 165814.

population is 691797.

691797 - 165814 = 525983

if you are not Black American.

Probability is =\(\frac{ C_{12}^{525983} }{C_{12}^{691797} }\) = 0.037316709.

2)African Americans = 165814.

population is= 691797.

Probability is equal to \(\frac{165814}{691797}\)=0.23968519.

As a juror

African Americans = 111.

21624 people live there.

Probability is equal to  \(\frac{165814}{691797}\)= 0.051563078

Hence, the answer is yes, but more likely.

3)Juror probability:   \(\frac{165814}{691797}\)= 0.051563078

Hence, based on 60 x0.05, there should be about 3 African Americans, yet there are none. hence, by chance.

4)As we can see, the jury's final pick does not correspond to its real likelihood, and events occurred arbitrarily more frequently.

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What is the equivalent to the product below when x>_0?
√5x² •√15x²

Answers

To simplify the product √(5x²) • √(15x²) when x ≥ 0, we can combine the square roots and simplify the expression.

√(5x²) • √(15x²) = √(5x² * 15x²)

Using the property of square roots that √(a * b) = √a * √b, we can simplify further:

√(5x² * 15x²) = √(5 * 15 * x² * x²)

Next, we simplify the numerical part:

√(5 * 15 * x² * x²) = √(75 * x² * x²)

Since x ≥ 0, x² is always non-negative, so we can remove the square root:

√(75 * x² * x²) = x * x * √75

Finally, we simplify the square root of 75:

x * x * √75 = x² * √75

Therefore, the equivalent expression is x² * √75 when x ≥ 0.
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