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: 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 .
Related Questions
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]
(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
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
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:
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!
Rewrite 118 as a fraction in lowest terms.
Answers
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
Help me I will give extra points
Answers
Answer: g(x) = -4x + 5
Please mark me brainliest instead of points
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
A movie theatre needed 980 popcorn
buckets. If each package has 9 buckets,
how
many packages will they need to
buy?
Answers
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 :)
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.
Arturo’s gym membership costs $100 per year plus $20 per month. Which equation represents this relationship?
Answers
Answer:
$100+$20=$120
can I get an answer please
Answers
Answer:
the first one.
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
What is the slope of the equation y-3 =-4(X - 5)?
-4
-3
20
23
Answers
Answer:
-4
Step-by-step explanation:
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 :)
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
say you have (-4,-4) and (8,4)
which ones are the y2, y1, x2, and x1
Answers
Please answer ASAP, I will give you brainilest and 5 stars if you get it right and do it quick!!
Answers
Answer:
a) 3.2 cm
b) 6.25 km
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
Help!!to show your work!!
Answers
Explanation:
-4y= 2x+28
Y=-1/2x-7
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!-GregWrite 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
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
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
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.
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
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:
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
A farmer owns 28 acres of land . Of the 28 acres only 65% can be formed .how many acres Are available for farming ?
Answers
18.20 acres
Step-by-step explanation:28×65% =
= 28×65/100
= 1820/100
= 18.20 acres
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: