Find the angle of CD. Round to the nearest tenth. 12.7 cm 45.5° 9/06 cm mCD= [?]°​

Find The Angle Of CD. Round To The Nearest Tenth. 12.7 Cm 45.5 9/06 Cm MCD= [?]

Answers

Answer 1

Using the information in the diagram, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°

Calculating the angle subtended by an arc

From the question, we are to determine the measure of [tex]\overset{\LARGE\frown}{CD}[/tex]

Consider the right triangle

The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is twice the measure of the unknown angle

Let the unknown angle in the right triangle be x

∴ The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2x

Then,

x + 90° + 45.5° = 180° (Sum of angles in a triangle)

x = 180° - 90° - 45.5°

x = 44.5°

Thus,

The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2×44.5°

The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 89°

Hence, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°

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Related Questions

Show problem set up for full credit.

Answers

Answer:

If the arcs are the same

4x+25=5x

x=25

So, QPR is 4(25)+25

QPR is 125

find the volume of the pyramid. round to the nearest hundredth

Answers

Answer:

A. 17.35 mm³

Step-by-step explanation:

Volume of a Pyramid

[tex]V = \frac{1}{3}Bh[/tex]

V ... volume

B ... area of base

h ... height

The base of this pyramid is a square. Area of a square is side times side.

[tex]B = 3.5 \times 3.5[/tex]

Let's substitute in the formula.

[tex]V = \frac{1}{3}Bh\\\\V = \frac{1}{3}(3.5\times 3.5)(4.25)\\\\V = \frac{1}{3}(12.25)(4.25)\\\\V \approx 17.35417 \text{ mm}^3[/tex]

Now let's round to the nearest hundredth.

V = 17.35 mm³

A cylindrical tank has diameter 3.2 m and length
12.7 m.
What is the surface area of the tank, to 1 decimal
place?

Answers

Answer:

143.8m^2

Step-by-step explanation:

surface area of a cylinder has the formular

2πr(r+h)

from the question,

radius= diameter/2 = 3.2/2 = 1.6m

height (h) = 12.7m

Area= 2× 3.142×1.6(1.6+12.7)

Area= 10.0544(14.3)

Area= 143.77

Area= 143.8m^2 to 1 decimal places

Answer: 174.3

Step-by-step explanation: diameter of cylindrical tank = 3.2m

so radius is half of 3.2m

length= 12.7m

T.S.A of tank = 2pie r ( r+h)

2 x 3.14 x 3.2/2 ( 3.2/2 + 12.7 )

= 174.29

rounding it off to one decimal the answer would be 174.3

ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

△XYZ ~ △X'Y'Z'
AngleXZY ≅ AngleY'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mAngleYXZ = 2mAngleY'X'Z'

Answers

The options that are true of the triangles include:

∆XYZ ~∆X'Y'Z'AngleXZY ≅ AngleY'Z'X'XZ = 2X'Z'

How to illustrate the triangle?

It should be noted that triangle XYZ is reflected over a vertical line. Then, it's dilated by 1/2 to form XYZ.

This implies that the triangles are similar, the angles are congruent and the side length of XYZ is twice that of X'Z.

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Answer:

∆XYZ ~∆X'Y'Z'

AngleXZY ≅ AngleY'Z'X'

XZ = 2X'Z'

Step-by-step explanation:

took test

440 meters is 14
of the way around the race track. How far is it around the whole race track?

Answers

Answer:

440x4=2200

Step-by-step explanation:

I'm guessing you meant 1/4, which is also known as 0.25, and if you know that 440 meters is equal to 1/4th of the whole race track you just have to multiply 440 by 4.

How many sides do 2 nonagons and 3 decagons have in all?

Answers

Answer:

48 sides

Step-by-step explanation:

A nonagon has 9 sides

A decagon has 10 sides

10 + 10 + 10 = 30

9+9 = 18

30 + 18 = 48

48 sides in total

Give brainliest please!
Hope this helps :)

If f(x) =
(3 + x)
(x-3)
what is f(a + 2)?

Answers

Answer:

(a^2)+4a-5

Step-by-step explanation:

(3+a+2)(a+2-3)

(a+5)(a-1)

use FOIL or box method

5a-5+(a^2)-a simplifyes to

(a^2)+4a-5

Fill in the missing number in this sequence:
400, 200, { } , 50, 25

Answers

Answer:

100

Step-by-step explanation:

In this sequence, we can observe that the consistent change between each number in the series is divided by half.

From 400, we divide by 2 to get 200.

400 / 2 = 200

From 50, we divide by 2 to get 25.

50 / 2 = 25

So, to fill in the number after 200, we should logically divide by 2:

200 / 2 = 100

100 also fits into the following numbers, because 100 / 2 is 5.

Answer:

The missing number would be 100

Step-by-step explanation:

You're essentially cutting the numbers in half. For example:

half of 400 would be 200

half of 200 is 100

half of 100 is 50

half of 50 is 25

can someone please help me with this

Answers

Answer:

[tex]d = \sqrt{109}[/tex]

Step-by-step explanation:

Use the distance formula.

[tex]\text{The distance between two points } (x_1, y_1) \text{ and } (x_2, y_2) \text{ is given by the formula:}\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Your points are (-4, 11) and (6, 8).

[tex]d = \sqrt{(-4 - 6)^2 + (11 - 8)^2}\\\\d = \sqrt{(-10)^2 + (3)^2}\\\\d = \sqrt{100 + 9}\\\\d = \sqrt{109}[/tex]

The sum of four consecutive integers is -6. What are the four integers?

Answers

Answer:

-3 ,-2 ,-1, 0

Step-by-step explanation:

x is the smallest integer then, x+x+1+x+2+x+2=-6
4x+6= -6   4x=-12 x= -3 so the integers are..

Find the height in feet of the missile after 5 seconds in the air

Answers

The height in feet of the missile after 5 seconds in the air is; 875 ft

How to find the height of a Projectile?

We are given the  quadratic function of the height in terms of time, x, in seconds as; h(x) = - 17x² + 260x

where;

h(x) is height after x seconds

x seconds is time of missile in air when thrown.

Thus, after five seconds, we have;

h(5) = - 17(5)² + 260(5)

h(5) = -425 + 1300

h(5) = 875 feet

Complete question is;

A missile is launched from the ground. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.

After 1 second, the missile is 243 feet in the air; after 2 seconds, it is 452 feet in the air.

The height of the can be represented by this function:

h(x) = - 17x² + 260x

Find the height, in feet, of the missile after 5 seconds in the air.

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Of all of the medium mirrors that were shipped, how many of them were broken? 68 78 164 208

Answers

68 we’re broken during shipping

A quadratic function has zeros at 1 and -8. Which of the following could be the function?​

Answers

Answer:(x-1)(x+8)

Step-by-step explanation: You need to set it up as (x+y)(x+z) format. To get that you need to flip the zeroes making them the opposite. So the answer in this case would be (x-1)(x+8).

the table shows the cost of the daycare for Lucy's dog this week her dog went 3 full days of day care and 2 half days of day care write an expression for the total cost of this week day care then evaluate the expression

Answers

An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.

How to write an expression for the total cost?

In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:

Let the cost for full-day be F.Let the cost for half-day be H.Let total cost be T.

Thus, the total cost of the daycare is given by:

T = 3F + 2H

Evaluating the expression, we have:

T = 3(28) + 2(15)

T = 84 + 30

T = $114.

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Solve |5x + 30| = 10x Identify the solution and an extraneous solution

Answers

Answer:

B

Step-by-step explanation:

the absolute value function always gives a positive result

However, the value inside can be positive or negative, that is

5x + 30 = 10x or - (5x + 30) = 10x

solving both

5x + 30 = 10x (subtract 5x from both sides )

30 = 5x ( divide both sides by 5 )

6 = x

or

- (5x + 30) = 10x

- 5x - 30 = 10x ( add 5x to both sides )

- 30 = 15x ( divide both sides by 15 )

- 2 = x

As a check

substitute these values into the equation and if both sides are equal then it is a solution.

x = 6

left side = | 5(6) + 30 | = | 30 + 30 | = | 60| = 60

right side = 10(6) = 60

Then x = 6 is a solution

x = - 2

left side = | 5(- 2) + 30 | = | - 10 + 30 | = | 20 | = 20

right side = 10(- 2) = - 20 ≠ 20

Thus x = - 2 is an extraneous solution

What should be added to both sides of this equation to solve for the variable?
P-33 = 17

Answers

Answer:

You add 33 on both sides to solve for the variable.

Step-by-step explanation:

Solve for x. 2^x-1 = 31, give your rounded answer to four decimal places.

Answers

The value of x for the given equation is 5.

What is Equation?

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables.

Here, as per the given Equation

[tex]2^x-1 = 31[/tex]

[tex]2^x = 31 + 1[/tex]

[tex]2^x = 32[/tex]

[tex]2^x = 2^5[/tex]

On comparing both sides, we get

x = 5

Thus, the value of x for the given equation is 5.

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This is a dot plot of the number of text messages sent in a day by a sample of students at a local high school. The sample consisted of 30 students and was selected as representative of the population.

a. What do the six values ​​of 0 on the dot plot represent?
b. Since the sample is representative of the population, describe what you think the dot plot of the entire population will look like.

Answers

The six values of 0 shown on the dot plot represent that 6 students out of the 30 sampled did not send any text messages daily.

With the sample being representative of the population, a dot plot for the entire population would have the same proportions as the sample but with a larger number of students.

What does the dot plot show?

The number of dots above a number indicates the number of students who send that number of text messages daily.

As there are 6 dots over 0, it means that 6 students do not send any text messages daily.

Seeing as the sample is representative of the entire population, a dot plot for the whole school would have a larger number of dots over each number but the proportions would be the same as the sample.

For instance, the proportion of total students who don't send any messages per day is:

= 6 / 30

= 20%

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Which expression is equivalent to
(5x³)(4x) ³2

Answers

Answer:

640[tex]x^{6}[/tex]

Step-by-step explanation:

(5x³)(4x) ³2

(4x) ³ is the same as

4³ * x³ = 64x³

--

(5x³)(64x³)2

5*64*2 = 640

x³ * x³ = [tex]x^{6}[/tex]

640[tex]x^{6}[/tex]

Is this an example of inductive reasoning, deductive reasoning, or neither?

At the grocery store Mia saw a sign indicating that 3 grapefruit cost $2.50, so Mia bought 3 grapefruit.

A. Inductive

B. Deductive

C. Neither

Answers

Since the specific conclusion is based on a general premise, this is a case of deductive reasoning.

What is deductive reasoning?

The term deductive reasoning has to do with the process of arriving at a specific conclusion based on a more general premise.

In this case, the conclusion arrived at was based on the fact that Mia saw a general sign that read that 3 grapefruit cost $2.50. Hence, this is a case of deductive reasoning.

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For item numbers 7-11, tell what relationship exists between the measures of each pair of angles.​

Answers

Answer:

7-B (congruent)

8-D (supplement)

9-B (congruent)

10-B (congruent)

11-D (supplement)

Step-by-step explanation:

7- 1 and 3 are congruent using the corresponding angles theorem

8- they are supplements using the same side interior angle theorem

9- they are congruent using alternate interior angle theorem

10- they are congruent using the alternate exterior angle theorem

11- they are supplements using the same side exterior angle theorem

ur wlcm :)

brainliest?

Find the difference or type
"impossible"

Answers

The missing value highlighted green = -14.

Subtract each term in the right matrix from the corresponding term in the left matrix. For this question it’s (-7) - 7 = -14, which is the value in the bottom matrix. Here’s my work:

order the decimal greatest to least 8.31,8.295, 8.06,8.3

Answers

Answer:

Least 8.06, 8.295, 8.3, 8.31 Greatest

8.31, 8.3, 8.295, 8.06

14.Evaluate the expression 4x2+3y for x = 5 and y =6.

answer?

Answers

Step-by-step explanation:

Given: x=5 and y=6

=>4x2+3y

=> 8+3(6)

=> 8+18

=> 26

Hope it helps

The value of this expression is 58

           

Algebraic expression is a mathematical sentence that involves all mathematical operations.

In an algebra - a real number is always accompanied by some letter, which can represent a variable or unknown.

   

— To solve this expression, just: change the letters for the numbers and multiply/add.

             

Resolution

[tex]\large \sf 4x2+3y[/tex]

[tex]\large \sf 4 \cdot 5 \cdot 2 +3 \cdot 6[/tex]

[tex]\large \sf 40 +18[/tex]

[tex]\red{\boxed{\boxed{\green{\large \sf \ 58 \ }}}}\\[/tex]

Therefore, the value of this expression will be 58

Calculate.
a) 130% of 220​

Answers

start off by saying:
130/100 * 220
so, the answer would be 286

this is as you simplify the fraction first by 10: 13/10 * 220
then you take out the ten on each side: 13 * 22
convert 130% to a decimal which is 1.3
then it’s simple math from there. multiply 220(1.3) and you get 286.

what's the number before 277000​

Answers

The number is 276999

Find the equation that is parallel to 2x-y=7

Answers

Answer:

Below

Step-by-step explanation:

Lines that are parallel have the same slope, so all lines parallel to the one given have the same slope as it does. That slope value is most easily seen by transforming the given equation to slope-intercept form

(y = mx + b).

This line would be y = 2x -7, so the slope of any line parallel to it must have a slope value of 2.

Hi there.

[tex]= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =[/tex]

First of all, we can't find the equation of the line that is parallel to the line we are provided with in this problem, which is [tex]\bf{2x-y=7}[/tex], until we convert this equation into another form.

.

.

This form has a name, and it's called "[tex]\bf{Slope-Intercept\:Form}[/tex].

.

.

So first, what we need to do is subtract 2x from both sides:

.

[tex]\bf{-y=7-2x}[/tex]

.

It's not mandatory, but we can re-arrange the terms "7" and "-2x":

.

[tex]\bf{-y=-2x+7}[/tex]

.

Last step: Divide both sides of the equation by -1:

.

[tex]\bf{y=2x-7}[/tex]

.

"-2x" turned into "2x" because a negative number multiplied or divided by a negative number equals a positive number.

.

"7" turned into "-7" because a positive number multiplied or divided by a negative number equals a negative number.

.

Now, our equation is in "Slope-Intercept Form".

.

Remember that "Slope-Intercept Form" looks like this:

.

[tex]\bf{y=mx+b}[/tex].

.

Now what we need to find is the equation of the line.

.

Let's skim through the provided information to see whether or not there's some information that can help us find the equation.

.

We're also provided with the fact that these lines, or equations, are parallel.

.

What that means is if two lines are parallel, their slopes are the same.

.

The slope of the line whose equation we just found is -2 (it's the number next to "x").

.

I hope that this helped clear your doubts; if any are left, please ask.

.

I wish you a nice rest of your day.

.

[tex]\bf{W}\sf{r}\bf{i}\sf{t}\bf{i}\sf{n}\bf{g}\:\sf{A}\:\bf{L}\sf{e}\bf{t}\sf{t}\bf{e}\sf{r}.[/tex]

--

Find the length of side x in simplest radical form with a rational denominator.
V10
X
60°
30°

Answers

Check the picture below.

What is the probability of rolling two dice, and having a total of 8 dots showing? Express your answer as a percent
rounded to the nearest hundredth.
11.11%
15%
16.67%
13.89%

Answers

13.89%

The value of the first die can be any number except for 1 because even if the second die rolls a 6, the total will only be 7. This means that there is a 5/6 chance of rolling an appropriate number with the first die. The second die has a 1/6 chance of rolling any given number. Any given number can be added to only one of the five numbers from the previous die to equal an 8. As a result, both numbers must be multiplied.

5/6 x 1/6 = 5/36 or 13.89%

Guys, can you please correct my answer for Question #45 of The Quadratic Relations for me, please?

Answers

Answer:

[tex]y=3(x-7)^2[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

Parent function

[tex]y=x^2[/tex]

Translated 7 units to the right

Subtract 7 from the x-value:

[tex]f(x-7) \implies y=(x-7)^2[/tex]

Vertically stretched by a factor of 3

Multiply the whole function by 3:

[tex]3f(x) \implies y=3(x-7)^2[/tex]

y=x²

Streched 7 units right means change in x

So new equation

y=(x-7)²

Vertically streched by 3

y=3(x-7)²
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A six-sided number cube is rolled and the proportion of 3s is calculated. The graph shows the long-run relative frequency of 100 rolls of this die. A graph titled proportion of threes has frequency on the x-axis, and probability on the y-axis. The graph increases, and then stays steady around y = 0.17. Which conclusion can be drawn from this graph? There is a 20% chance of rolling a 3 with this die. The long-run frequency of rolling a 3 appears to be about 0.17. Because the probabilities on the left part of the graph fluctuate so much, we cannot conclude that this is a fair number cube. This number cube must be fair because each outcome of rolling a 1, 2, 3, 4, 5, or 6 has the same probability of occurring. In photosynthesis what is released as a waste product. When working with a leader who is lack of leader integrity, the follower is less likely _______.look for other job opportunitiesvolunteer to extra work assignmentsdisplace aggression toward coworkersreceive mistreatments Which are types of third-person point of view? Check all that apply.limitedpersonalomniscientcapableinfinite MARKING BRAINLIESTT!!! what was life like in Tang, Song, Mongols, and Ming dynasties The number of slugs in a garden t days from now is p, wherePo= 100Pt+1= 1.06ptork out the number of slugs in the garden 3 days from now. Which of the following is NOT an adaptation of theparasitic tapeworm?A. No digestive system because food is already digested.B. Hooks to hang onto host intestine.C. Fangs to pierce intestine wall and absorb nutrients.D. Mucus for protection from being digested. 100 POINTS!! PLEASE HELPTo what extent did Americans support the Vietnam War? In a paragraph or two , compare and contrast this support with other conflicts, such as World War II. If you have 100 ml of water mixed with 100 ml of pollutant, the concentration of pollutant is Which is the reason cells divide turn this fraction into a decimal 17 23/32 What is the Punnett square for ocular albinism? People in the southern united states imported the plant kudzu from japan to control erosion along highways kudzu now spreads so quickly that it kills many other plants. how have humans directly impacted the environment in this example? a introduction of a non-native species b destruction of habitat c disruption of a food chain d. overexploitation There are 240 ounces of sports drink left in the cooler at the end of one practice.Every player had some sport drink from the cooler. Based on the equation, y = 648 -24x, how many players were at practice? In about one hundred words, explain the importance of symbolism to short stories. Streaming media is a relatively new type of source compared to books and journal articles. What citation component is new consider the given figure Whats the right ANSWER please help me How do find volume of the triangular pyramid, Im so confused I need the formula as well ASAP,!!,, please thanks so much 4.9t+0.3=5.6t+0.72 I need help on my work lol