Find mDCAˆ. the question says that the angle is 3x+19 the smaller arc is 91 and the bigger is 17x-3 it is one of those problems were the difference in the arcs divided by two equals the angle

Answers

Answer 1

Answer: Option C.

Step-by-step explanation:

Let as consider the below figure is attached below.

We know that angle between tangent and secant is half of difference of major and minor arcs.

[tex]\angle ABC=\dfrac{arc(AD)-arc(AC)}{2}[/tex]

[tex]3x+19=\dfrac{17x-3-91}{2}[/tex]

Multiply both sides by 2.

[tex]6x+38=17x-94[/tex]

[tex]38+94=17x-6x[/tex]

[tex]132=11x[/tex]

Divide both sides by 11.

[tex]12=x[/tex]

The value of x is 12.

[tex]arc(AD)=17(12)-3[/tex]

[tex]arc(AD)=204-3[/tex]

[tex]arc(AD)=201^{\circ}[/tex]

Now,

[tex]arc(DCA)=360^\circ-arc(AD)[/tex]

[tex]arc(DCA)=360^\circ-201^{\circ}[/tex]

[tex]m\widehat {DCA}=159^{\circ}[/tex]

Therefore, the correct option is C .

Find MDCA. The Question Says That The Angle Is 3x+19 The Smaller Arc Is 91 And The Bigger Is 17x-3 It

Related Questions

I have a load of 5"- 8" cobblestones at $140/yd. and it will cover 65 square feet of ground. How many pounds am I getting and how much per pound am I paying?

Answers

Answer:  I just miss my dog ;(        

Step-by-step explanation:

Gabriella makes a profit of $.80 for every cup of coffee that she sells at her coffee shop she wanted to make a profit of at least $75 today on coffee if she’s sold 90 cups today which statement is correct

Answers

Answer:

Gabriela needs to sell 4 more cups of coffee to make a profit of $75.

She sells 90 cups and makes $0.80 profit on each cup. That equals $72 profit.

90 x $0.80= $72

She wants to make $75 profit.

$75 - $72 = $3  profit short for the day

$3/$0.80 = 3.75 cups of coffee short  so to make her profit she must sell a total of 94 cups of coffee for the day or an additional 4 cups.

Step-by-step explanation:

Help me I will give extra points

Answers

Answer: g(x) = -4x + 5

Please mark me brainliest instead of points

(a) Reuben runs 12 miles in 96 minutes.
How many miles does he run per minute?
miles per minutes?

Answers

Answer:

0.125 miles per minute

Nathan is hosting a part for 40 guests. He will count each of the 45 drop in guests as half a guest. How much of each food item should Nathan order?

Fried chicken- 24 pieces
Deli meats- 3 2/3
Lasagna 10 3/4

Answers

Answer:

25 guests is 2.5 times more than 10

Step-by-step explanation:

Multiply by 2.5

Chicken = 16 x 2.5 = 40

Lasagna = 7 x 2.5 = 17.5 , round to 18

Deli meat = 1.8 x 2.5 = 4.5, round to 5

Sliced cheese = 15 x 2.5 = 37.5, round to 38

Buns = 1 x 2.5 = 2.5, round to 3

Potato salad = 2 x 2.5 = 5

distribute the money £423 in the ratio 1 : 2 : 3

Answers

Answer:

see below

Step-by-step explanation:

will make short and  simple

$423 in the ratio 1 : 2 : 3

420 / 6 = 70

1 * 70 = 70

2 * 70 = 140

3 * 70 = 210

1) The smallest perfect square number 1 point
divisible by 5, 6 and 27 is

Answers

Answer:

[tex]8100[/tex], which is the square of [tex]90[/tex].

Step-by-step explanation:

Factor the three divisors into prime numbers:

[tex]5[/tex] is a prime number itself.[tex]6 = 2\times 3[/tex].[tex]27 = 3^3[/tex].

Any number divisible by these three divisors should include the following factors:

[tex]2[/tex],[tex]3^3[/tex], and [tex]5[/tex].

Note that all these three prime factors have an odd power ([tex]1[/tex], [tex]3[/tex], and [tex]1[/tex], respectively)

[tex]2[/tex] becomes [tex]2^2[/tex] (add [tex]1[/tex] to the initial power of [tex]1[/tex] to obtain [tex]2[/tex].)[tex]3^3[/tex] becomes [tex]3^4[/tex].[tex]5[/tex] becomes [tex]5^2[/tex].

The product of these three factors would be:

[tex]2^2 \times 3^4 \times 5^2 = 8100[/tex].

Indeed, [tex]8100[/tex] is divisible by all these three divisors. At the same time, because all the powers of its prime factors are even,

[tex]8100 = (2 \times 3^2 \times 5)^2 = 90^2[/tex].

Answer:

8100 is the smallest perfect square divisible by 5,6 and 27

Step-by-step explanation:

5 = 5 * 1

6 = 2 * 3

27 = 3 * 3 *3

5 * 6 * 27 = 2 * 3 * 3 * 3 * 3 * 5

Factors of perfect square will be perfect squares

To make this a perfect, multiply by 5 * 2

Perfect square = 5 * 6 * 27 * 5 * 2

                        = 8100

a can of paint covers 400 square feet how many cans will needed to cover 3,000 square feet

Answers

Answer:

7 and a half cans of Paint ( 7.5 cans of paint )

Step-by-step explanation:

If one can of paint covers 400 square feet then this should be easy. Since you need 3,000 square feet covered with paint (and one paint can cover 400 sq) then just divide 3,000 by 400.

This will show you how many times 400 can go into 3,000 which is the same as saying "how many cans of paint can i used to cover 3,000 square feet?"

Hope this helped!-Greg

What is the slope of the equation y-3 =-4(X - 5)?
-4
-3
20
23

Answers

Answer:

-4

Step-by-step explanation:

Answer:
The slope of the equation is -4.

Explanation:
Usually, when the question asks us to find the slope of the equation, the values are organized in this formula:

y=mx+b

This formula is called slope-intercept form. Here’s what the variables mean:

y=the y axis
m= the slope of the line
x=the x axis
b=the point on the line that intercepts the y axis (the y-intercept)

And to find the slope, all we would need to do is look at what number is plugged in as “m”. However, the equation the your problem gave us isn’t organized in slope-intercept form (yet) so we’re going to have to do some maneuvering.

Firstly, simplify the equation and isolate the y variable (because it’s isolated in slip-intercept form)

y-3=-4(x-5)
Move -3 to the other side to isolate y
y=-4(x-5)+3
Multiply -4 to the parentheses
y=-4x+20+3
y=-4x+23

Now, it’s clear that -4 is in the place of the “m” variable, which is the slope. Here is a comparison:

y=mx+b
y=-4x+23

Therefore, the slope of the equation is -4.

I hope this helped! If it did, a brainliest would be much appreciated :)

find the distance between theses points:(8,0),(-6,6). Round answer to nearest tenth if necessary.

Answers

Answer:

Chicken strips

Step-by-step explanation:

Dont ask they are just on my mind

Rewrite 118 as a fraction in lowest terms.

Answers

Last choice 1 9/50

118/100 =

(2 × 59)/(22 × 52) =

((2 × 59) ÷ 2) / ((22 × 52) ÷ 2) =

59/(2 × 52) =

59/50

Then

59 ÷ 50 = 1 and remainder = 9 =>

59 = 1 × 50 + 9 =>

59/50 =

(1 × 50 + 9) / 50 =

1 + 9/50 =

1 9/50

solve 9 = 4 + x ( show your work )

Answers

Answer:

x = 5

Step-by-step explanation:

1. 9 = 4 + x

2. 9 - 4 = 4 + x - 4

3. 5 = x

1. Set A represents rational numbers. Set B represents integers. Which diagram shows
the numbers placed in the correct
sets?
Set A
Set A
1.5
1
10
3
3.1
С
Set B
Set B
-12
Set A
Set A
7.1
10
2
win
mi
B
D
Set B
Set B
-3.4
-6.8

Answers

Answer: Choice C) Upper right corner (aka northeast corner)

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

Explanation:

Rational numbers are ones where we can write as a fraction of two integers. Any rational number is in the form a/b where a,b are integers and b is nonzero.

Terminating decimals can be written as a rational number. Something like 3.1 is equivalent to 31/10.

Of the four answer choices, only choice C is correct.

Choice A has the value '3' as a rational number, but it doesn't have it in the set of integers as well. So that's why choice A is incorrect.

Choice B has -3.4 in the set of integers, which is not correct. Integers do not have any decimal portion. The same applies to choice D also. We can rule choices B and D out.

A farmer owns 28 acres of land . Of the 28 acres only 65% can be formed .how many acres Are available for farming ?

Answers

Answer:

18.20 acres

Step-by-step explanation:

28×65% =

= 28×65/100

= 1820/100

= 18.20 acres

Arturo’s gym membership costs $100 per year plus $20 per month. Which equation represents this relationship?

Answers

Answer:

$100+$20=$120

which is the perimeter of the triangle below?
ft
aft
foot
foot
O
1 foot
O 11
11
feet

Answers

Answer:

ft is premeter of triangle

say you have (-4,-4) and (8,4)
which ones are the y2, y1, x2, and x1

Answers

It doesn’t matter (8,4) 8=x1 , 4=y1 (-4,-4) -4=x2 , -4=y2

The quotient of 5 and a number, k ? Write the algebraic expression

Answers

Answer:

[tex] \frac{5}{k} [/tex]

Step-by-step explanation:

Quotient refers to the result we get when we divide a number by another number. In more precise words, the dividend (numerator) over the divisor (numerator) equals the quotient.

In this case, 5 is the dividend, k is the divisor, which is representing an unknown number.

We cannot get an actual number, but we can use algebraic expression to express the quotient as follows:

Quotient of 5 and k = [tex] \frac{5}{k} [/tex]

The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?

Answers

Answer: 150 pages

Step-by-step explanation:

I usually just multiply the number by the percentage and it works out just fine :)

eric ran 3 miles in 20 minutes. what is eric’s speed?

Answers

Answer:

Step-by-step explanation:

speed=distance/time

20 minutes=1/3 hours

=3*3/1

=1miles/hour

Top answer is wrong it is
9miles per hour since 20 minute / 60 hour = 0.333333
D=s/t
D=3/0.33333
D=9 miles per second

234 + 300 and scram. ok bio now go do homework no ples

Answers

Answer:

534

Step-by-step explanation:

Solve the equation.
b + 6 = 27

Answers

Answer:

Step-by-step explanation:

b+6=27

b=27-6

b=21

Answer:

b = 21

Step-by-step explanation:

To find this answer, all you have to do is subtract 6 from both sides of the equal sign, where you will cancel out the 6 and subtract 6 from 27. 27 minus 6 is 21, so you are left with b = 21

can I get an answer please ​

Answers

Answer:

the first one.

Help!!to show your work!!

Answers

Y=-1/2x-7
Explanation:
-4y= 2x+28
Y=-1/2x-7

Find an equation for the line with the given properties.
Parallel to the line 2x - y = - 4; containing the point (0,0)
y = 2x (Type your answer in slope-intercept form.)

Answers

Answer:

y = 2x

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

2x - y = -4

-y = -2x - 4

y = 2x + 4

Since the 2 lines are parallel, they have the same slope.

Step 2: Define variables

Slope m = 2

Origin (x-int and y-int) (0, 0)

Step 3: Write parallel linear equation

y = 2x + 0

y = 2x

Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation.
Passing through ​(​4,​8) and ​(7​,14​)
Type the​ point-slope form of the equation of the line

Answers

Answer:

Step-by-step explanation:

(14 - 8)/(7 - 4)= 6/3= 2

y - 8 = 2(x - 14)

y - 8 = 2x - 28

y = 2x - 20

All sale items are marked an additional 10% off the sale price. If a coat that originally costs $110 is on sale for 25% off, what is the new sale price? Is this a reduction of 35% off the original price

Answers

Answer:

The new sales price is $74.25

Step-by-step explanation:

110 x 0.25 = 27.5

110 - 27.5 = 82.5

82.5 x 0.10 = 8.25

82.5 - 8.25 = 74.25

Simply discounting 35% off the original price does not work in this specific problem.

3|3t+1|=2|6t+3| Need hep

Answers

Answer:

your answer would be  t=-1 or t=1

Step-by-step explanation:

-(2t-3) = 3t-2

Multiply

     -2t+3 = 3t-2

Rearrange and Add up

     -5t = -5

Divide both sides by 5

-t = -1

Multiply both sides by (-1)

t = 1

Which is the solution for the Negative Case

Solve the Positive Case

     (2t-3) = 3t-2

Rearrange and Add up

     -t = 1

Multiply both sides by (-1)

     t = -1

have a great day!

Please answer ASAP, I will give you brainilest and 5 stars if you get it right and do it quick!!

Answers

4000 is what is said to me lol

Answer:

a) 3.2 cm

b) 6.25 km

A movie theatre needed 980 popcorn
buckets. If each package has 9 buckets,
how
many packages will they need to
buy?

Answers

109 packages of buckets
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