ACD = 30, Line segment AC = x + 1, Line segment CD = 2x + 2. What is x equal to? x =

Answers

Answer 1

Answer:

AC+ CD = ACD

X+1 + 2X + 2 = 30

3X+3 =30

3X=30–3

3X=27

X= 27/ 3

X= 9

I'm not sure of the solution, but I solved it according to a straight line (Line segment) .

I hope I helped you^_^


Related Questions

Plz hurry
50 points

Answers

Answer:

2:3 < 5:6

10:12 > 6:9

The ratios in table 1 are less than the ratios in Table 2

Step-by-step explanation:

cross multiply the ratios and you can tell which one is bigger.

For example, in the first ratio you can see that 2x6 < 5x3

Do that for the second set of ratios and you can see that the ratios in table one are smaller than the ratios in table 2.

Hope this helps

Answer:

2  :3 <  5:6

 

10:  12 >  6:9

Step-by-step explanation:

i took the test

A research center conducted a telephone survey of 2,000 adults to learn about the major economic concerns for the future. The survey results showed that 1,620 of the respondents think the future health of Social Security is a major economic concern. (a) What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern

Answers

Answer:

0.81

Step-by-step explanation:

Find the point estimate by dividing the number of respondents that thought it was a major economic concern by the total number of people in the survey:

1,620/2,000

= 0.81

So, the point estimate is 0.81

The diameter of a circle is 10 meters what is the angle of an arc 3pie meters long

Answers

Answer:

10 meaters yes these answer is correct

What value of y will make the equation true?
√34 x Wy - 34
PLEASE HELP

Answers

Answer:

y = 34

Step-by-step explanation:

Given,

[tex] \sqrt{34} \times \sqrt{y} = 34[/tex]

[tex] = > \sqrt{34y} = 34[/tex]

[tex] = > 34y = {34}^{2} [/tex]

[tex] = > 34y = 34 \times 34[/tex]

[tex] = > y = \frac{34 \times 34}{34} [/tex]

=> y = 34 (Ans)

Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.) f(x, y, z) = yz + xy; xy = 1, y^2 + z^2 = 25

Answers

Answer:

pls post pic of question can't understand ur question

can someone help me really please really need help please don't understand

Answers

9514 1404 393

Answer:

2/83/5

Step-by-step explanation:

1. The denominator of a fraction indicates how many (equal) pieces a quantity is divided into. When that quantity is 1 cake, and it is divided into 8 equal pieces, each piece is 1/8 of the cake, and there are 8 pieces, or 8/8 of the cake altogether. 8/8 = 1 entire.

When 2/8 of the cake is eaten, there are 8-2 = 6 pieces left, or 6/8 of the cake remains.

When an additional 4/8 of the cake is eaten, there are 6-4 = 2 pieces left, or 2/8 of the cake remains.

__

The fraction 2/8 can be written as the product of fractions ...

  [tex]\dfrac{2}{8}=\dfrac{1\cdot2}{4\cdot2}=\dfrac{1}{4}\cdot\dfrac{2}{2}[/tex]

We know that 2/2 = 1, and anything times 1 is that same thing, so the fraction 2/8 can be "reduced" to its equivalent, 1/4.

  [tex]\dfrac{2}{8}=\dfrac{1}{4}\cdot1=\dfrac{1}{4}[/tex]

As far as we can tell, this question does not ask you to reduce the fraction. Since we're counting 1/8 cake slices, and there are 2 remaining, it is reasonable to leave the fraction as 2/8.

____

2. The given fractions are 1/5 pound, so it is reasonable to think of the whole weight of the 1-pound box as 5/5 pound. Two parts are 1/5 pound each, so the part remaining after considering those is ...

  5/5 - 1/5 - 1/5 = (5 -1 -1)/5 = 3/5

The third item in the box is 3/5 pound.

Michael invest $P at a rate of 3.8% per year compounded interest. After 30 years the value of this investment is $1,469. Calculate the value of P.​

Answers

Answer:

Step-by-step explanation:

The formula for this is

[tex]A(t)=P(1+r)^t[/tex] and we have everything but the P. Filling in:

[tex]1469=P(1+.038)^{30[/tex] and

[tex]1469=P(1.038)^{30[/tex] and

1469 = P(3.061403718) so

P = 479.85

Plz help me find x and show work​

Answers

Answer:

9^2 + 12^2 = x^2

81 + 144 = 225

225 ÷ 15 = 15

the answer for this question is 15

Step-by-step explanation:

The null hypothesis and the alternate hypothesis are: H0: The frequencies are equal. H1: The frequencies are not equal. Category f0 A 10 B 30 C 30 D 10 State the decision rule, using the 0.05 significance level. (Round your answer to 3 decimal places.) Compute the value of chi-square. (Round your answer to 2 decimal place.) What is your decision regarding H0

Answers

Answer:

Reject H0

Step-by-step explanation:

Given :

H0: The frequencies are equal. H1: The frequencies are not equal

Category f0 A 10 B 30 C 30 D 10

Total f0 = (10 + 30 + 30 + 10) = 80

Expected frequency is the same for all categories :

Expected frequency = 1/4 * 80 = 20

χ² = Σ(observed - Expected)² / Expected

χ² = (10-20)^2 / 20 + (30-20)^2 /20 + (30-20)^2 / 20 + (10-20)^2 / 20

χ² = (5 + 5 + 5 + 5) = 20

Pvalue = 0.00017

Pvalue < α

Write each question as a single logarithm (Picture attached)

Answers

Answer:

a.

[tex] log_{5}( {u}^{3 \times {v}^{4} } ) [/tex]

b.

[tex] ln( \frac{1}{( {x}^{2} - 2x + 1 } ) [/tex]

c.

[tex] log_{2}(x { \sqrt{3x - 2} }^{4} ) [/tex]

(ax=1/2x)+((-3/5)+21/5

Answers

The answer is X=-5/36

One hundred families each have $2$ fish. Each fish has either one stripe or two stripes. In total, there are $273$ stripes. How many one-striped fish are there in total?

Answers

Let x be the number of one-striped fish and y the number of two-striped fish.

100 families each have 2 fish, so there are a total of 200 fish:

x + y = 200

x one-striped fish carry a total of x stripes, while y two-striped fish carry a total of 2y stripes. There are 273 stripes overall, so

x + 2y = 273

Solve for x and y. Subtracting the first equation from the second eliminates x :

(x + 2y) - (x + y) = 273 - 200   ==>   y = 73

Then

x + 73 = 200   ==>   x = 127

Aaron surveyed a group of students about the number of pets they own. He recorded the data in the dot plot below.

Answers

Answer:

Step-by-step explanation:

18,  count the dots. The number line aka 0-7 is just showing the number of possible pets a person could have

Please Help!
find the value of x
round to the nearest tenth as needed​

Answers

Answer:

237.9 yards

Step-by-step explanation:

90-23=67

cos 67⁰=x/610

x=610 cos 67

x= 610 x 0.39

x=237.9 yards


4. Construct a quadrilateral ABCD in which AB=BC=3.5cm, AD=CD= 5.2 cm and ^ABC= 120°.

Answers

9514 1404 393

Explanation:

The attachment shows such a construction. Here are the steps.

1. Draw circle B with radius 3.5 cm

2. Mark a point X on the circle and draw circle X with the same radius. Mark the intersection points of circles B and X as points A and C.

3. Draw circles A and C with radii 5.2 cm. Mark the intersection point as point D so that X is on segment BD.

4. Finish by drawing kite ABCD.

Ross resides in an apartment where houses are arranged horizontally. She resides at door number 3.if she want to visit her friend Martha at door number 7, how many house should she Cross?

Answers

Answer:

3 doors if we are excluding her own. 4 if we are not.

4, 5, 6. she does not pass 7, she enters 7.

3, 4, 5, 6. it could be argued she must first pass her own door.

that context changes the answer.

Z = { x:x is an integer, x ≥ - 3 and x ≤ + 3}​

Answers

Answer:

If this is asking for the set:

Z = {-3, -2, -1, 0, 1, 2, 3}

Step-by-step explanation:

Z is the set of all integers and it appears that you are being asked for the values in the set Z that are within the range:  -3 ≤x ≤ 3

Which equation represents the graphed function? 5 O y = 4x - 2 O y=-4x-2 O y = x=2 5 4 3 2 1 23 (4, -1) O y=-x-2 0,-2) 097​

Answers

Answer :The correct equation is the third option : y = (1/4)x - 2

In a certain armithmetic sequence , if -4 is the first term , and 10 is the third term, which term is 157?

Answers

Answer:

157 is the 24th term.

Step-by-step explanation:

We are given that in an arithmetic sequence, -4 is the first term and 10 is the third term. And we want to find the term number of 157.

Recall that the direct formula for an arithmetic sequence is given by:

[tex]\displaystyle x_n=a+d(n-1)[/tex]

Where n is the nth term, a is the initial term, and d is the common difference.

We know that the initial term a is -4. Hence:

[tex]x_n= -4 + d(n-1)[/tex]

Since 10 is the third term, n = 3:

[tex]\displaystyle x_{3}=10=-4+d(3-1)[/tex]

Solve for the common difference:

[tex]14=2d\Rightarrow d=7[/tex]

Hence, our direct formula is:

[tex]\displaystyle x_n=-4+7(n-1)[/tex]

To find the term number of 157, let 157 equal xₙ and solve for n. Hence:

[tex]\displaystyle (157)=-4+7(n-1)[/tex]

Therefore:

[tex]\displaystyle \begin{aligned} 161 &= 7(n-1) \\ 23 & = n-1 \\ n &= 24\end{aligned}[/tex]

157 is the 24th term.

Write the equation of the line in fully simplified slope-intercept form.

Answers

Step-by-step explanation:

y — yı = m(x – xı) equation of a line

Points A(1,3) and B(2,1)

Slope (m) = (y2 – y1) / (x2 – x1)

(1 –3) / (2 – 1)

–2/1

–2

Thus, y –3 = –2 (x – 1)

y – 3 = –2x + 2

y –3 + 3 = –2x + 2 + 3

y = –2x + 5

Translate the sentence into a sentence Six more than the quotient of a number and 4 is equal to 8

Answers

Answer:

[tex] \frac {x}{3} + 6 = 8 [/tex]

Step-by-step explanation:

Let the unknown number be x.

Quotient simply means to divide a number by another number without any remainder.

For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder; [tex] \frac {10}{5} = 2[/tex]

Hence, translating the word problem in this scenario into an algebraic expression, we have;

[tex] \frac {x}{3} + 6 = 8 [/tex]

Simplifying further, we have;

[tex] \frac {x}{3} = 8 - 6 [/tex]

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

Cross-multiplying, we have;

x = 3 * 2

x = 6

Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced tea with 909090 tea bags. What will Kermit think of Peggy's iced tea?
A. It is too strong.
B. It is too weak.
C. It is just right.

Answers

Answer:

C. It is just right

Step-by-step explanation:

Kermit's Favorite iced tea:

Tea bags = 15

Water = 2 liters

Ratio of tea bags to water = 15 : 2

= 15/2

= 7.5

Peggy:

Tea bags = 90

Water = 12 liters

Ratio of tea bags to water = 90 : 12

= 90/12

= 7.5

C. It is just right

Kermit would think of Peggy's iced tea is just right

Answer:

c

Step-by-step explanation:

Quanto é 7 × 5/2????

Answers

la respuesta es. 35/2x

I need help solving this problem

Answers

Answer:

300

Step-by-step explanation:

The shiny silver mouse has a population mean size of 8.3 cm and and a population standard deviation of 1.2 cm. If one individual is sampled from the population what is the probability that it will be greater than 9 cm

Answers

Answer:

41.67%

Step-by-step explanation:

[tex]Z = \frac{x-\alpha}{\sigma}[/tex]     9-8.3 = 0.7/1.2 = 0.5833  1-0.5833 = 0.4167*10 = 41.67%

The probability of the individual sample which is greater then 9 cm is 0.2799601 .

What is probability?

'Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the total number of cases possible.'

According to the given problem,

μ = 8.3 cm

σ = 1.2 cm

X ≈ N[tex](0,1)P(X < x )[/tex]

= P(Z = X - μ / σ)

here , X ≈ N (8.3 , [tex](1.2)^2)P(X > 9)[/tex]

= P[tex](Z > \frac{9-8.3}{1.2})[/tex]

⇒ P[tex](Z>0.583333)[/tex]

⇒ 1 - P[tex](Z<0.583333)[/tex]

⇒ 1 - 0.7200399 [ for greater surface area of the bell-curve ]

⇒ 0.2799601

Hence, we can conclude, the probability of individual sample is 0.2799601 .

Learn more about the probability here :brainly.com/question/23211929?#SPJ2

Give the properties for the equation x2 + y2 + 8x - 2y +15 = 0
Radius √2 4 2​

Answers

Answer:

ind the center and radius of the sphere: x2 + y2 +z2-8x + 2y + 62+1 0 2) Find an equation of the sphere that passes through the point (6,-2, 3) and has center (-1,2, 1). Find the curve in which the sphere from #2 intersects the yz-plane. For #4-11, u : ? + j-2k 4) 2u +3v 5) Iv 6) uv and v-3i-2j + k 8) Ivxu 9) comp,v 10) proju 11) Find the angle between u and v 12) Find the scalar triple product of a, b, and c. If a (3, 1,2), b (-1,1,0), and c (0,0,-4) 13) Find the values of x such that (3,2, x) and (2x, 4, x) are orthogonal 14) Find two unit vectors that are orthogonal to both j + 2k and i-2j+3k 15) Find the acute angle between two diagonals of a cube 16) Find a vector perpendicular to the plane through the points A(1,0,0), B(2,0,-1) and C(1,4,3) 17) Find parametric equations for the line through (4,-1, 2) and (1, 1, 5) 18) Find parametric equations for the line through (-2, 2, 4) and perpendicular to the plane 2x-y+5z 12 19) Find an equation of the plane through (2, 1,0) and parallel to x + 4y -3z 1 20) Find an equation of the plane through (3, -1, 1), (4, 0, 2), and (6, 3, 1). 21) Show that the planes x y-z 1 and 2x 3y + 4z 5 are neither parallel nor perpendicular. Find the angle between the planes.

Which triangle is ​△ABC​ similar to and why?






△ABC is similar to △DEF by ​AA Similarity Postulate​.

△ABC is similar to △GHI by ​AA Similarity Postulate​.

△ABC is similar to △JEL by ​AA Similarity Postulate​.

​△ABC​ is not similar to any of the triangles given.
NOTE: Figures are not drawn to scale.

Answers

Answer:

Question. Which triangle is △ABC similar to and why?

Answer.△ABC is similar to △JEL by AA Similarity Postulate.

Answer:

△ABC ≈△JEL

Step-by-step explanation:

△ABC is similar to △JEL by AA Similarity Postulate. (final answer)

If f (x) = x^2+8 then what is f (x+2)?

Answers

Answer: [tex]x^2+4x+12[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+8\\f(x+2)=(x+2)^2+8\\f(x+2)=x^2+4x+4+8\\f(x+2)=x^2+4x+12[/tex]

Suppose an annuity pays 6% annual interest, compounded semi-annually. You invest in this annuity by contributing $4,500 semiannually for 6 years. What will the annuity be worth after 6 years?

Answers

Answer:

$3240

Step-by-step explanation:

hope it is well understood

Answer: 59300

Step-by-step explanation:

What is the value of n?

4/5 < n/7 < 8/9
( n has to be greater than 4 but less than 8 )​

Answers

Answer:

n = 6

Step-by-step explanation:

If n/7 < 8/9, then n/7 < 1

n/7 < 1

n < 7

That leaves us with 5 and 6. With this, we use trial and error.

4/5 > 5/7 (not we want)

4/5 < 6/7 (what we want)

The answer is 6/7 or n = 6

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