Write and solve an equation to find the measure of angle X.

Write And Solve An Equation To Find The Measure Of Angle X.

Answers

Answer 1

Answer:

x = 43°

Step-by-step explanation:

In order to find the measure of angle x we'll use Vertical Angles Theorem.

x = 180° - (90 + 47)x = 180° - 137x = 43°

Therefore, the measure of angle x is 43° ✓.

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Related Questions

in a semiconductor company's quality control test, a machine found that 22 out of a sample of 600 computer chips were defective how many of the 36,000 computer chips the company makes each would you expect to be defective?

Answers

Answer:

1320 should be expected

Step-by-step explanation:

22 = 600

  x10

220 = 6,000

   x6

1320=36,000

A researcher wanted to see if different breeds of dogs preferred toys of certain colors. The researcher presented each dog with 3 toys, identical except that each was a different color, and recorded which toy the dog played with the most in a set time period. Here are the outcomes and partial results of a chi-square test (expected counts appear below observed counts):

Answers

The value for the test statistic and the p value on the test when the researcher wanted to see if different breeds of dogs will be x² = 0.9421 and 0.05 < p value < 0.10.

How to illustrate the research?

From the information given, the null hypothesis is that the variables have no difference while the alternative hypothesis is that they have a difference.

The degree of freedom will be:

= (3 - 1) × (3 - 1)

= 4

The critical value is 9.4877. In this case, the p value is greater than the significance level. Therefore, we fail to reject the null hypothesis.

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Answer:

Step-by-step explanation:

From Khan

Which is the closest to the area that is painted blue? A 308 units B. 116 units C. 463 units? D 124 units

Answers

Step-by-step explanation:

first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).

the blue colored area is the area of the whole square minus the area of the circle.

the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.

so, the area of the square is

24² = 576 units²

the are of the circle is

pi×r² = pi×12² = 144pi units²

so, the blue area is

576 - 144pi = 123.6106579... ≈ 124 units²

therefore, D is the right answer.

Please please I need help. What is the value of X

Answers

Answer:

x = 25

Step-by-step explanation:

Solving

∠CAD = 1/2 ∡ CD180° - 90° - (2x)° = 1/2 (80°)2x = 90° - 40° = 50°x = 25

What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?

Answers

A composite transformation is the production of the image of a figure through two or more transformation

The set of transformations that could be applied to rectangle ABCD to create rectangle A'B'C'D' is the second option;

Reflected over the y-axis and rotated 180°

The reason the above selected option is correct is as follows:

Known parameters:

The given coordinates of the vertices of the preimage of the rectangle ABCD are; A(-4, 2), B(-4, 1), C(-1, 1), and D(-1, 2)

The given coordinates of the vertices of the image of the rectangle ABCD, which is rectangle A'B'C'D' are; A'(-4, -2), B'(-4, -1), C'(-1, -1), and D'(-1, -2)

Solution:

The form of the ordered pair of the vertices of the pre-image is negative value for x, positive value for y, which can be written as (-x, y), where x, and y, are positive numbers

The form of the ordered pair of the vertices of the image is (-x, -y)

The location of a point (-x, y) following a reflection over the y-axis is the point (x, y)

The location of a point (x, y) following a 180° rotation is the point (-x, -y)

Therefore, the set of transformations that can be applied to (-x, y), to create (-x, -y), is a reflection over the y-axis, followed by a rotation of 180

Which gives;

The set of transformations that transforms A(-4, 2) to create A'(-4, -2), B(-4, 1), to create B'(-4, -1), C(-1, 1), to create C'(-1, 1), and D(-1, 2), to create D'(-1, -2) is a reflection over the y-axis followed by a rotation of 180°.

Therefore, the correct option is; Reflected over the y-axis and rotated 180°

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Answer: B is your correct answer!

Step-by-step explanation:

In a bag there are 3 blue marbles, 2 green marbles, 4 red marbles, 1 white marble, and 5 yellow marbles. What is the probability of drawing a green marble then drawing a blue marble from the bag? (With Replacement)

Answers

Answer:

So, you must NOT draw a yellow marble on the first draw, a probability of 8/12. Then, you must NOT draw a yellow marble on the second draw, a probability of 7/11. Then you MUST draw a yellow marble on the third draw, a probability of 4/10. So, the three required events, taken together, look like this in lowest terms:

2/3 * 7/11 * 2/5 = 28/165

HOPE IT HELPS!!

You send an email with a file size of 4 kilobytes. One kilobyte is 2^{10} bytes. What is the file size of your email in bytes? Write your answer as a power.

Answers

Answer:

2¹² Bytes

Step-by-step explanation:

One kilobyte is 2¹⁰ bytes.

File size of the email is 4 kilobytes. That is 4 times 1 kilobyte. Therefore multiply with 4.

4 KB = 4 × 2¹⁰ B

Now notice that you can rewrite 4 like 2².

4 KB = 2² × 2¹⁰ B

Use exponental rule (Product Rule):

[tex]a^x + a^y = a^{x+y}[/tex]

4 KB = 2²⁺¹⁰ B = 2¹² B

find the mode of the following data set.

help please

Answers

Answer:

Step-by-step explanation:

The most repeated number is 1,

Therefore, 1 is the anser

Let $a_1, a_2, a_3, \dots$ be a non-constant arithmetic sequence. Suppose that $a_4, a_7, a_{12}$ form a geometric sequence. If $a_7 = 30$, what is $a_1$?

Answers

The terms a1, a2 and a3 do not have a common difference, and the value of a1 in the geometric sequence is 10/9

How to determine the value of the first term?

The arithmetic sequence is given as:

a₁, a₂ and a₃

The geometric sequence is given as:

a₄, a₇ and a₁₂

The common ratio of a geometric sequence is:

[tex]r = \frac{T_2}{T_1}[/tex]

So,we have:

[tex]\frac{a_7}{a_4} = \frac{a_{12}}{a_7}[/tex]

Cross multiply

[tex]a_{12} * a_4 = a_7 * a_7[/tex]

Given that a7 = 30, the equation becomes

[tex]a_{12} * a_4 = 30 * 30[/tex]

Evaluate the product

[tex]a_{12} * a_4 = 900[/tex]

Rewrite as:

[tex]a_{4} * a_{12} = 900[/tex]

Express 900 as 10 * 90

[tex]a_{4} * a_{12} = 10 * 90[/tex]

By comparison, we have:

a₄ = 10 and a₁₂ = 90

This means that the geometric sequence is:

10, 30, 90 ---- it has a common ratio of 3

The nth term of a geometric sequence is:

[tex]a_n = ar^{n-1}[/tex]

So, we have:

[tex]a_7 = ar^6[/tex]

[tex]a_4 = ar^3[/tex]

Substitute values for a7 and 14

[tex]ar^6 = 30[/tex]

[tex]ar^4 = 10[/tex]

Divide both equations

[tex]r^2 = 3[/tex]

Take the cube of both sides

[tex]r^6 = 27[/tex]

Substitute [tex]r^6 = 27[/tex] in [tex]ar^6 = 30[/tex]

[tex]a * 27 = 30[/tex]

Divide both sides by 27

[tex]a = \frac{10}{9}[/tex]

Hence, the value of a1 in the geometric sequence is 10/9

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Please help, image below. Thank you!

Answers

Answer:

10 Inches

Hope it helps, have a fantastic day.

Step-by-step explanation:

The Circumference of a circle can be displayed by this formula:

[tex]C = 2\pi r[/tex]

[tex]C[/tex] is the circumference, and [tex]r[/tex] is the radius.

So just plug in 31 for [tex]C[/tex], and simplify:

[tex]31 = 2\pi r[/tex]

Because the question is asking for the diameter, we only need to divide both sides by pi, as [tex]2r[/tex] is the same thing as diameter.

[tex]9.87 = 2r[/tex] (rounded to the nearest hundredth)

We can even rewrite [tex]2r[/tex] as [tex]d[/tex], which stands for diameter, to make things a little simpler.

[tex]9.87 = d[/tex]

Now we just take 9.87, and round it to the nearest whole number, and we get 10. So your answer is 10 Inches.

Hope it helps, have a fantastic day.

is 3/2 = to square of 2

Answers

Answer:

No, it will not

Step-by-step explanation:

as square of 2 is 4

You are stationary on the ground and are watching a bird fly horizontally towards you at a rate of 3 m/s. The bird is located 60 m above your head. How fast does the angle of elevation of your head change when the horizontal distance between you and the bird is 80 m? (Leave your answer as an exact number.)

Answers

Based on the rate the bird is flying and the distance above your head, the speed of change in the angle of elevation is 0.018 rad/sec.

What is the speed of the change in angle of elevation?

First use the Pythogoreous theorem to find the distance between you and the bird at 80 m:

= √(60² + 80²)

= √(3,600 + 6,400

= 100 m

Cos² = 80² / 100²

= 16 /25

Differentiate this to get:

= ((-60 x 16/25) / 80²) x (-3)

= 9/500

= 0.018 rad/sec

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(5x+1)3=15x3 que Propiedad pertenece

Answers

Answer:

Step-by-step explanation:

1) Reagrupar términos.

3(5x + 1) = 15x^3

2) Divide ambos lados por tres.

5x + 1 = 5x^3

3) Mueva todos los términos a un lado.

5x + 1 - 5x^3 = 0

4) No se encontró ninguna raíz algebraicamente. Sin embargo, las siguientes raíces se encontraron por métodos numéricos.

x=−0.878886,−0.209148,1.088033

which expression is greater than 4

Answers

Answer:

all numbers<4

so numbers 5 and up

Step-by-step explanation:

Aiden has $6,000 in an account. The interest rate is 5% compounded annually. To the nearest cent, how much will he have in 5 years?

Answers

Answer:

$7,657.69

Step-by-step explanation:

To find this, use the interest formula:

[tex]A = P(1+r)^{t}[/tex]
A = final amount

P = principal amount ($6,000)

r = interest rate (5% or 0.05)

t = time (5 years)

Given this formula, we can plug in the information and find how much Aiden has after 5 years:

[tex]A = 6000(1+0.05)^{5}[/tex]

[tex]A = 6000(1.05)^{5}[/tex]

[tex]A = 7657.69[/tex]

Therefore, after 5 years Aiden will have $7,657.69.

I hope this helps! Good luck!

Construct an isosceles triangle ABC in which AB=AC = 9 cm and BÂC = 45°. Measure ABC and BC​

Answers

Answer:

m∠ABC = 67.5°BC = =6.888301782572 cm

Step-by-step explanation:

ABC is an isosceles triangle

Then

m∠ABC = m∠ACB

The sum of the interior angles of a triangle is equal to 180°

Then

m∠ABC + m∠ACB + m∠BAC = 180°

Then

m∠ABC + m∠ACB + 45 = 180°

Then

2 × m∠ABC = 180°

Then

m∠ABC = (180−45)÷ 2 = 67.5°

Law of SIN :

[tex]\frac{9}{\sin \left( 67.5\right) } =\frac{BC}{\sin \left( 45\right) }[/tex]

[tex]BC=\frac{9}{\sin \left( 67.5\right) } \times \sin \left( 45\right) ==6.888301782572[/tex]

Find the area of the rhombus

Answers

Answer:

25

Step-by-step explanation:

area of the rhombus=1/2×d1×d2

1/2×5×10

=25

Need help please thanks

Answers

Answer: There is no zeros for this equation.

Step-by-step explanation: First, we use the quadratic formula and plug in values. -2 plus or minus the square root of 2^2 - 4*5*8.

The square root will be -39 (negative 39.) This is impossible without using complex numbers (you cannot use complex numbers to get a zero.) Negative square roots are not real. Thus, this equation has no real solution.

The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.68. What is the probability that it will rain on at least three of the
five days they are there? Round your answer to the nearest thousandth.

Answers

Answer:

0.3386 = 0.339 (rounded).

Step-by-step explanation:

It is the binomial type probability distribution.

The number of trial n= 3; the probability of the success trial is  0.16,  and the number of success trial k = 1.


Which is an example of an isosceles right triangle?

Answers

Answer:

D.

Step-by-step explanation:

An isosceles triangle is a triangle with 2 equal sides (2 sides with the same length)

If you use mobile payment and lose your phone, you should NOT:
OA. Cancel your card.
OB. Get a new phone and keep using the same card in the app.
OC. Remotely lock your device.
OD. If possible, clear the data off of your device.

Answers

Answer: Choice B

Reason:

Yes you should get a new phone, but you should not keep using the same card. Whoever has your phone (assuming anyone found it or stole it) may be able to gain access to the phone, and use the card fraudulently. You should call the credit card company and cancel that card, and get a new card. This is why choice A is eliminated. Choices C and D are eliminated as well so that you protect your privacy from any potential thieves.

Gasoline cost $0.60 a gallon if a car makes 25 miles to the gallon what is will gasoline for an 800 mile trip cost

Answers

Answer:

$19.29

Step-by-step explanation:

800 ÷ 25 = 3232 x 0,60 = $19.20

there you have it

By cross multiplication find x and y if
ax + by = a² + b² and bx - ay = 0​

Answers

[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]

x = a and y = b

Step-by-step explanation:

To find

The value of x and y

Given

ax + by = a² + b² (equation 1)

bx - ay = 0 (equation 2)

Solution

{Taking equation 2}

[tex] \sf bx - ay = 0 [/tex]

{Taking ay on RHS}

[tex] \sf bx = ay[/tex]

{Dividing both sides by a}

[tex] \sf \frac{bx}{a} = y(equation \: 3)[/tex]

{Now substituting the equation 3 in equation 1}

[tex] \sf ax + b( \frac{bx}{a} ) = {a}^{2} + {b}^{2} \\ \\ \sf ax + \frac{ {b}^{2} x}{a} = {a}^{2} + {b}^{2} [/tex]

{Taking LCM on LHS}

[tex] \sf \frac{ {a}^{2}x + {b}^{2} x }{a} = {a}^{2} + {b}^{2} \\ \\ \sf \frac{x( {a}^{2} + {b}^{2}) }{a} = ( {a}^{2} + {b}^{2} )[/tex]

{Dividing by (a² + b²) both sides}

[tex] \sf \frac{x}{a} = 1 \\ \\ \green{\boxed {\tt{x = a} } }[/tex]

{Now substituting the value of x in equation 3}

[tex] \sf \frac{ba}{a} = y \\ \\ \green {\boxed{ \tt{y = b}} }[/tex]

Pa help po (yung buo sana sagot)

Answers

what are you saying?

Step-by-step explanation:

i dont kno if you are a thailander or not???

Shreya has 40 pairs of shoes stacked in boxes.

If a pair is 2 shoes, how many shoes does Shreya have?

Answers

Answer:

80 shoes

Step-by-step explanation:

sin e a pair is 2 shoes,

Shreya has 40×2shoes

= 80 shoes

therefore, Shreya has 80 shoes

40 x 2

=80 shoes

(We now have school systems which force students to study maths and, through enough exposure, our brains can learn to think mathematically. But if those skills cease to be used, the human brain will quickly return to factory settings...- Matt Parker )

A square pyramid with a side length of 5 cm and a slant height 7 cm has a total surface area of ... square centimeter
20
165
95
25
70

Answers

answer is 95
TSA=1/2Pl+B

Answer:

95

Step-by-step explanation:

Surface Area :

⇒ Area (4 triangle faces) + Area (square base)

⇒ 4 x 1/2 x 5 x 7 + (5)²

⇒ 2 x 35 + 25

⇒ 70 + 25

95 square centimeters

In an in-text citation, direct quotes go in_______.
A. between parenthesis
B. between double quotation marks
C. at the end of the paragraph
D. between commas

Answers

A is your answer I know

Yuna grows two varieties of pears—Bosc and Anjou. She took a sample of each variety to test if their average caloric contents were significantly different. Here is a summary of her results:
Calories
Variety nnn Mean StDev SE mean
Bosc 656565 120120120 151515 1.861.861, point, 86
Anjou 656565 116116116 131313 1.611.611, point, 61
99\% \text{ CI for } \mu_\text{B} - \mu_{\text{A}}\text{:}99% CI for μ
B

−μ
A

:99, percent, start text, space, C, I, space, f, o, r, space, end text, mu, start subscript, start text, B, end text, end subscript, minus, mu, start subscript, start text, A, end text, end subscript, start text, colon, end text 4 \pm 6.444±6.444, plus minus, 6, point, 44
Yuna wants to use these results to test \text{H}_0\text{: }\mu_\text{B}=\mu_\text{A}H
0

: μ
B


A

start text, H, end text, start subscript, 0, end subscript, start text, colon, space, end text, mu, start subscript, start text, B, end text, end subscript, equals, mu, start subscript, start text, A, end text, end subscript versus \text{H}_\text{a}\text{: }\mu_\text{B} \neq \mu_\text{A}H
a

: μ
B





A

start text, H, end text, start subscript, start text, a, end text, end subscript, start text, colon, space, end text, mu, start subscript, start text, B, end text, end subscript, does not equal, mu, start subscript, start text, A, end text, end subscript. Assume that all conditions for inference have been met.
Based on the interval, what do we know about the corresponding P-value and conclusion at the \alpha=0.01α=0.01alpha, equals, 0, point, 01 level of significance?

Answers

Answer:

The P-value is greater than α=0.01 and she cannot conclude that there is a difference between the means.

Step-by-step explanation:

did the khan assignment

(06.01 LC) A scatter plot is shown. 10 9 8 7 6 5 4 3 2. 0 1 2 3 4 5 6 7 8 9 10 How many outliers does the graph show? (1 point) 01 02 03 4​

Answers

Answer:

2 outliers

Step-by-step explanation:

(1,9) and (10,7) both are outliers.

There are 2 outliers in the given scatter plot. Therefore, option B is the correct answer.

What does outliers mean in scatter plots?

An outlier is a data point that does not fit the rest of the data. It lies outside of a cluster and does not follow the same pattern. Scatter plots can have many outliers, just one outlier, or no outliers.

From the given graph, we can see that coordinates (1, 9) and (10, 7) are not in the cluster.

These two points lies out side the cluster, so these points are outliers.

Therefore, option B is the correct answer.

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Bearing. A is on a bearing of 095° from B. What is the bearing of B from A?​

Answers

The bearings from b to a is that o95 and it can’t be no longer than what I put so it has to be 20
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