m/HCB = 60°, m/DCB = 9x-1, and m/DCH = 2x+ 16. Find x​

M/HCB = 60, M/DCB = 9x-1, And M/DCH = 2x+ 16. Find X

Answers

Answer 1

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

Note that ∠DCB is the sum of ∠HCB and ∠DCH. Hence:

[tex]m\angle DCB = m\angle HCB + m\angle DCH[/tex]

Substitute in the appropriate values/expressions:

[tex](9x-1) = (60) + (2x+16)[/tex]

Solve for x. Combine like terms:

[tex]9x - 1 = 2x + 76[/tex]

Subtract 2x from both sides:

[tex]7x - 1 = 76[/tex]

Add one to both sides:

[tex]7x = 77[/tex]

And divide. Hence:

[tex]x=11[/tex]

Answer 2

Answer:

x=11

Step-by-step explanation:

<DCB = <DCH + < HCB

9x-1 = 2x+16 + 60

Combine like terms

9x-1 = 2x+76

Subtract 2x from each side

9x-1-2x= 2x+76-2x

7x-1 = 76

Add 1 to each side

7x-1 +1 = 76+1

7x = 77

Divide by 7

7x/7 = 77/7

x=11


Related Questions

Find the nth term of each of the sequences.
(a) 16, 19, 22, 25, 28, ...
(b) 1,3,9,27,81,...

Answers

Answer:

a) 16, 19, 22, 25, 28, 31, 34, 37, 40

b) 1, 3, 9, 27, 81, 243, 729, 2187

Explanation:

a) Add 3 on every number.

b) Multiply every number by 3.

Question 2 3
Sarah had 28 stickers and put x number of stickers on her binder. Haylee had 40 stickers and put three times as many
stickers on her locker as Sarah put on her binder.
How many stickers did Sarah put on her binder if they had the same number of stickers left?

Answers

6. Let’s start with the equation 28-x=40-3x. Then, we can derive that to 28=40-2x. 40-12 is 28, and 12/2 is 6.

Determine the period

Answers

Answer:

10

Step-by-step explanation:

acellus

The period of the given graph is 10.

Use the concept of a period of function defined as:

One full wave is set up in a medium for the length of time it takes a particle of that medium to complete one vibration or one wave period.

In the given wave,

X-axis represents time

The Y- axis represents the amplitude of the curve

As we can see,

The first peak of this graph is located at x = 1 and the second peak is at,

x = 13

Since the period is the time interval between two consecutive peaks in a graph.

In this case, the time interval is 10.

Hence,

The period of the given graph is 10.

To learn more about period of a graph visit:

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Find the equation of the linear function represented by the table below in slope-intercept form.
Need Help with this last question plz

Answers

Answer:

y = -3x-4

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

   = (-16 - -7)/(4-1)

   = (-16+7) /3

   = -9/3

  = -3

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -3x+b

Using a point

-10 = -3(2)+b

-10 = -6+b

-10+6 = b

-4 = b

y = -3x-4

What is the average rate of change for the function f(x) = –4x2 + 1 over the interval –3/2 ≤ x ≤ 0?

Answers

Answer:

6

Step-by-step explanation:

To find the average rate of change, we must calculate the slope over the interval -3/2 to 0. We can use the formula below.

f(b) - f(a) / b - a

f(0) - f(-3/2) / 0 - -3/2

1 - -8 / 3/2

9 / 3/2

18/3

6

Brainliest, please!

Please help me anyone

Answers

Answer:

(x + 5)² = - 3

Step-by-step explanation:

Given

x² + 22x + 28 = 12x ( subtract 12x from both sides )

x² + 10x + 28 = 0 ( subtract 28 from both sides )

x² + 10x = - 28

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(5)x + 25 = - 28 + 25

(x + 5)² = - 3

The product of twice a number and four is the same as the difference of seven times the number and 5/3

Answers

Answer:

2N÷4=7N-5/3

Hope this helps!

I need some help with math
#1 rewrite this in standard form, then state the center of the circle as an ordered pair and identify the radius. Show your work
y^(2)-14y+x^(2)-4x+37=0

#2 Write the equation of the circle with center (-2,15) and radius 3.

Answers

Answer:

[tex](y-7)^2+(x-2)^2=16[/tex]

and

[tex](x+2)^2+(y-15)^2 = 9[/tex]

Step-by-step explanation:

The standard equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where the coordinate (h,k) is the center of the circle.  

Second Problem:

We can start with the second problem which uses this info very easily.(h,k) in this problem is (-2,15) simply plug these into the equation. [tex](x--2)^2+(y-15)^2=r^2[/tex] .We can also add the radius 3 and square it so it becomes 9. The equation.This simplifies to [tex](x+2)^2+(y-15)^2 = 9[/tex].

First Problem:

The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.[tex]y^2-14y+x^2-4x+37=0[/tex] first subtract 37 from both sides so the equation is now [tex]y^2-14y+x^2-4x=-37[/tex].[tex]y^2-14y+x^2-4x+37=0[/tex] by adding [tex](-\frac{b}{2a} )^2[/tex] to both the x and y portions of this equation you can complete the squares. [tex](-\frac{b}{2a})^2=(-\frac{-14}{2(1)})^2[/tex] and [tex](-\frac{-4}{2(1)})^2[/tex] which equals 49 and 4.Add 49 and 4 to both sides and the equation is now:[tex]y^2-14y+49+x^2-4x+4=-37+49+4[/tex] You can simplify the y and x portions of the equations into the perfect squares or factored form [tex](y-7)^2[/tex] and [tex](x-2)^2[/tex].Finally put the whole thing together. [tex](y-7)^2+(x-2)^2=16[/tex].

I hope this helps!

I NEED THE ANSWER ASAP PLEASE HELP!!
The price of a stock went from $32 to $28. If p is the percent decrease in the value of the stock, which proportion can be used to compute p? A. B. C. D.

Answers

Answer:C


Explanation:none

Answer: C

Step-by-step explanation:

a girl walk to her anteys house and it took 45 minats and she gose to school it took her 61 minates and how many minats was it all together

Answers

Answer:

45+61=106

the answer for this question is 106 minutes

Step-by-step explanation:

Answer:

106 minutes/1hour 46 minutes

Step-by-step explanation:

45+ 61 :106

3. JK is tangent to circle L. Find JL to two decimal places.

Answers

Answer:

14.32

Step-by-step explanation:

Since this is a right triangle, we can us the Pythagorean theorem

a^2 + b^2 = c^2

3^2 + 14^2 = JL ^2

9+196 = JL ^2

205 = JL ^2

Taking the square root of each side

sqrt(205) = JL

14.31782106 = JL

To 2 decimal places

14.32

which of the following is a function
please help!!

Answers

The first picture (the one that looks like an up arrow) is a function. An easy way to tell us the vertical line test!
The one where the line goes up then down. :)

If no grouping symbols or exponents are in an expression, then do _____ first.

Answers

multiplication or division i believe

The simple interest on a sum of money in 2 years is Rs 36 less than the compound interest compounded annually. If the rate of interest is 12 % p.a., find the sum.​

Answers

Answer:   Rs 2500

======================================================

Explanation:

Compute the simple interest on a deposit of x

The per annum (p.a.) interest rate is r = 0.12 from the 12% value mentioned.

We do so over t = 2 years

i = p*r*t

i = x*0.12*2

i = 0.24x

Let A = 0.24x

Do the same for the compound interest. We'll have n = 1 to reflect annual compounding.

i = p*(1+r/n)^(n*t) - p

i = x*(1+0.12/1)^(1*2) - x

i = 1.2544x - x

i = 0.2544x

Let B = 0.2544x

We're told that "The simple interest on a sum of money in 2 years is Rs 36 less than the compound interest compounded annually"

This means the interest earned in the simple interest (value A) is Rs 36 less than the amount earned with quantity B

So,

A = B-36

0.24x = 0.2544x - 36

0.24x - 0.2544x = -36

-0.0144x = -36

x = -36/(-0.0144)

x = 2500

The amount invested or deposited is Rs 2500

Help help help help help help help help

Answers

Last one is the answer

Convert the 7pi/5 to a degree measure

A=252
B=504
C=792
D=75

Answers

Answer:

252

Step-by-step explanation:

The conversion factor is

180/pi

7pi/5 * 180/pi = 7 *180/5 = 252 degrees

Luz made a semicircular pendant with a radius of 8 centimeters to use on a key chain. She attached a wire around the edge of the pendant.

What is the approximate length of the wire she attached to the pendant?

41.13
50.27

Answers

The approximate length of the wire she attached to the pendant is 50.27

What is the approximate length of the wire she attached to the pendant?

The radius is given as:

r = 8 cm

The approximate length of the wire she attached to the pendant is calculated as:

Length = 2pi r

Where

pi = 3.14

So, we have:

Length = 2 * 3.14 * 8

Evaluate the product

Length = 50.24

Hence, the approximate length of the wire she attached to the pendant is 50.27

Read more about circumference at:

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Answer: The answer is 41.13.

Step-by-step explanation: I took the quiz and none of the other answers were correct.

Write down at least five number pairs to solve the equation vw = 50

Answers

Answer:

1, 50

2, 25

5, 10

10, 5

25, 2

Answer:

Step-by-step explanation:

V  W  

1 x 50     = 50

1.5 x 33 1/3 = 50

2 x 25     = 50

2.5 x 20     = 50

3 x 16 2/3 = 50

3.5 x 14 2/7 = 50

4 x 12 1/2 = 50

4.5 x 11 1/9 = 50

5 x 10     = 50

5.5 x 9     = 50

6 x 8 1/3 = 50

6.5 x 7 2/3 = 50

7 x 7 1/7 = 50

7.5 x 6 2/3 = 50

8 x 6 1/4 = 50

8.5 x 5 8/9 = 50

9 x 5 5/9 = 50

9.5 x 5 1/4 = 50

10 x 5     = 50

10.5 x 4 3/4 = 50

11 x 4 5/9 = 50

11.5 x 4 1/3 = 50

12 x 4 1/6 = 50

12.5 x 4     = 50

13 x 3 6/7 = 50

13.5 x 3 5/7 = 50

14 x 3 4/7 = 50

Another learning aid provides a​ step-by-step walk-through showing the solution process for a problem similar to the one you are working on. You would click Continue to advance through each step in the solution process to show intermediate calculations at key points. While you are attempting to solve the given​ exercise, this learning aid can be referenced multiple times and does not load a new version of the exercise when it is accessed. Choose the described learning aid below.

Answers

Choose the described learning aid below.

a. Animation

b. view an example

c. video

d. help me solve this

e. Textbook

The answer to this question is option b. View an example helps to give a step by step walk through showing the solution to a similar problem.

The learning aid that is referenced in this question is view an example because it is a learning aid that helps the learner to solve a problem just by looking at the solution of another problem.

The solution that is being viewed has to be quite similar with the problem. Such that the learner would be able to follow through with finding a solution to his problem by following the steps in the example.

here is a similar question https://brainly.com/question/24454973?referrer=searchResults

Solve : 3X + 3x + 1 + 3x + 2 = 39​

Answers

Step-by-step explanation:

[tex]3x + 3x + 1 + 3x + 2 = 39 \\ 9x + 3 = 39 \\ 9x = 39 - 3 \\ 9x = 36 \\ x = \frac{36}{9} \\ x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

combine all of the 3x first to get:

9x + 1 + 2 = 39

9x + 3 = 39

subtract 3 from both sides:

9x = 36

divide by 9

x = 4

If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble
What is the probability of picking 1 red marble and 1 green marble?

(Once a marble is chosen it IS put back into the box).

(Write your answer in the form of a decimal, round to 2 places).

Answers

Answer:

[tex]probability = \frac{1}{2}[/tex]

Step-by-step explanation:

Probability is the chance of an event happening. It can simply be defined by the following formula,

[tex]probability = \frac{desired\ outcomes}{total\ outcomes}[/tex]

The total outcome is all of the possible outcomes or the sum of all of the types of marbles. The desired outcomes are the outcomes that one wants or the sum of the number of wanted marbles,

[tex]total\ outcomes = red+yellow+green+blue\\=6+10+5+1\\=22[/tex]

[tex]desried\ outcomes= red+green\\= 6 + 5\\=11[/tex]

Substitute into the formula to find the probability of an event:

[tex]probability = \frac{desired\ outcomes}{total\ outcomes}[/tex]

[tex]probability = \frac{11}{22}[/tex]

Simplify,

[tex]probability = \frac{11}{22}[/tex]

[tex]probability = \frac{1}{2}[/tex]

Solve x^3 = 1 over 8.

1 over 2
±1 over 2
1 over 4
±1 over 4

Answers

Answer:

x = 1/2

Step-by-step explanation:

x^3 = 1/8

Take the cube root of each side

x^3 ^ (1/3) = (1/8)^ (1/3)

Rewriting 8 as 2^3

x^3 ^ (1/3) = (1/2^3)^ (1/3)

x = 1/2

A N S W E R :

x³ = 1/8

8 can be written as 2³

x³ = 1/2³

(x)³ = (1/2)³

When exponents are same bases are taken and exponents are eliminated

x = 1/2

Hence, the required answer is 1/2

help me match these??????? please and thank you!!!!​

Answers

Answer:

[tex]\sqrt{12}=2\sqrt{3}[/tex]

[tex]\sqrt{18} = 3\sqrt{2}[/tex]

[tex]\sqrt{24}=2\sqrt{6}[/tex]

[tex]\sqrt{72}=6\sqrt{2}[/tex]

Step-by-step explanation:

Hi there!

[tex]\sqrt{12}[/tex]

To simplify a square root, check if the radicand has any perfect square factors. For example, 12 can be rewritten as 4*3:

[tex]=\sqrt{4*3}\\=\sqrt{4}*\sqrt{3}[/tex]

4 is a perfect square. Its square root is 2:

[tex]=2*\sqrt{3}\\=2\sqrt{3}[/tex]

[tex]\sqrt{18} \\= \sqrt{9*2} \\= 3\sqrt{2}[/tex]

[tex]\sqrt{24} \\=\sqrt{4*6}\\=2\sqrt{6}[/tex]

[tex]\sqrt{72} \\=\sqrt{36*2} \\=6\sqrt{2}[/tex]

I hope this helps!

Find the surface area of the composite figure

Answers

Answer: SA = 644 cm²

Step-by-step explanation:

STEP ONE: Find the surface area of the smaller rectangle (green)

There are in total 5 sides because one of the sides is not shown on the surface level.

Upper base = 3 × 3 = 9 cm²

4 sides = 3 × 8 × 4 = 96 cm²

Total = 9 + 96 = 105 cm²

STEP TWO: Find the surface area of the larger rectangle (orange)

There are in total 5 whole sides with one side covered by the base of the smaller rectangle (green) which should later be subtracted.

Front and back = 7 × 10 × 2 = 140 cm²

Left and right = 7 × 12 × 2 = 168 cm²

Lower base = 10 × 12 = 120 cm²

Upper base = 10 × 12 - 3 × 3 = 111 cm²

Total = 140 + 168 + 120 + 111 = 539 cm²

STEP THREE: Find the total surface area

SA = Green + Orange = 105 + 539 = 644 cm²

Hope this helps!! :)

Please let me know if you have any questions

Answers plssssssssssssssssss

Answers

Answer:

3/2

Step-by-step explanation:

if u divide two fractions, it is same as multiplying with its reciprocal

How long would it take the car to travel a distance of 2 meters at this average speed?

Answers

Answer:

1 hour

Step-by-step explanation:

2 ÷2=1 speed divide by distance

What is the degree of -9x^5+3x^2+3-7x+10x^3

Answers

Answer:

5

Step-by-step explanation:

The degree is the highest power of x

The highest power of x is 5 so the degree is 5

using Euclids division algorithm, find the largest number that divides 475 and 871 leaving 7 as the remainder in each case​

Answers

Answer:36

Step-by-step explanation:

gcd(475-7,871-7)=gcd(468,864)=36

[tex]\begin{array}{c|c|c|c|c|c}&0&1&1&5&2\\468&864&468&396&72&\boxed{36}\\468&396&72&36&0\\\end{array}[/tex]

The basic Parabola y = x2 is transformed to make y = (x – 5)2 +3. The
vertical translation is
a. Up
b. Down
c Left
d. Right
e. 3 Units
f. 5 Units

Answers

Answer:

a and f

Step-by-step explanation:

The transformation is 3 units up, which is concluded from the fact that there is a positive 3 meaning up. This also represents the y-intercept.

Hope this makes sense :)

the equation of the line that goes through the points (5,5) and is parallel to the line going through the points (-5,5) and (6,1) can be written in the form y=mx+b where m is and b is

Answers

Answer:

y = -4/11x + 75/11

Step-by-step explanation:

y2 - y1 / x2 - x1        1 - 5 / 6 - (-5)      -4/11

y = -4/11x + b

5 = -4/11(5) + b

5 = -20/11 + b

75/11 = b

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