2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work
Would the measure of angle B be x for this??
Answers
On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.
m<A+m<C=180 Substitute the given values for angles A and C
x+2+x-2=180 Combine like terms
2x=180 Divide by 2 in both sides to isolate x
x=90
Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.
m<D=x-10 Substitute the value of x
m<D=90-10 Combine like terms
m<D=80
m<B=180-m<D Substitute the value of angle D
m<B=180-80 Combine like terms
m<B=100
The measure of angle B is 100 degrees, and the value of x is 90.
Related Questions
Find the number of sides of a regular polygon if the interior angle is 150
Answers
360/30= 12.
remember that no matter what is the polygon the sum of EXTERIOR angle is 360.
and 1 exterior angle + 1 interior angle = 180.
Can someone explain the Pythagorean theorem to me, please?
Answers
Pythagorean theorem is a²+b²=c².
a is the length is the leg, b is also a leg and c is the hypotenuse
The focal length, F, in a camera is given by the following function, where d is the distance from the lens in the camera to the object being photographed.
F = 2.24d/ d +2.24
Write an equation that expresses distance, d, as a function of the focal length, F.
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[tex]F= \frac{2.24d}{d+2.24} [/tex]
[tex]F(d+2.24)=2.24d[/tex]
[tex]Fd+2.24F=2.24d[/tex]
Next factor out d to obtain
[tex]2.24F=d(2.24-F)[/tex]
[tex]d= \frac{2.24F}{2.24-F} [/tex]
Using function notation: [tex]G(d)= \frac{2.24F}{2.24-F} [/tex]
Answer: D) d = -2.24F/F-2.24
Suppose that x=6 and y=8. If y is inversely related to x, what it y when x=3?
4
5
16
18
Answers
Credit to: Jdoe0001.
C. 16
This figure shows circle Z with chords AB and RS .
mAR=55°
mRB=66°
AB=8 m
RS=8 m
What is mRS ?
Enter your answer in the box
Answers
Answer:
121 degrees
Step-by-step explanation:
I took the test peeps
Look at the figures. How can you prove these triangles are congruent?
∆ABC ≅ ∆DEF by the SAS Postulate.
∆ABC ≅ ∆DEF by the SSS Postulate.
It is not possible to determine if the triangles are congruent.
Answers
by SSS, you need to know AC=DF, but there is no way to know it.
by SAS, you need to know ∠ABC=∠DEF, no way to know as well.
The sum of two numbers is 240. the larger number is 6 less than twice the smaller. find the numbers. the smaller number is , and the larger number is
Answers
----------
Let the smaller be "x" ; Larger is "2x-6"
EQUATION:
x + 2x-6 = 240
3x= 246
x = 82 (smaller)
2x-6 = 158 (larger)
The smaller number is 82 and the larger number is 158.
Given that, the sum of two numbers is 240.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the smaller number be x.
The larger number is 6 less than twice the smaller.
Larger number = 2x - 6
Now, the sum of two numbers is 240.
So, x+2x-6 = 240
⇒ 3x - 6 =240
⇒ 3x = 246
⇒ x = 82
Larger number = 240 - 82
= 158
Therefore, the smaller number is 82 and the larger number is 158.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ5
What is the volume of a cylinder with base radius 3 and height 8?
Answers
Answer is provided in the image attached.
Final answer:
The volume of a cylinder with a base radius of 3 and a height of 8 is approximately 226.195 cubic units, using the formula V = πr²h.
Explanation:
The volume of a cylinder is calculated using the formula V = πr²h, where π is the constant pi (approximately 3.14159), r is the radius of the cylinder's base, and h is the height of the cylinder. For a cylinder with base radius 3 and height 8, we use the values directly in the formula:
V = π×(3²)×8
V = π×9×8
V = π×72
V = 3.14159×72
V ≈ 226.195 cubic units
Therefore, the volume of the cylinder is approximately 226.195 cubic units.
am i correct?
Which of the following describes how to translate the graph of y = |x| to obtain the graph of y = |x + 1| - 2?
shift right 1 and down 2
shift left 1 and down 2 <<<
shift right 1 and up 2,
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Answer: both of u are wrong its one unit shift up one unit shift down
100p for an answer please
Answers
For n=5.3
5.3+8=13.3
All that apply:
1) First, write an expression.
2) the correct expression is: n + 8
3) second, substitute 5.3 for the variable, n.
4) third, simplify by adding 5.3 and 8
5) the answer is 13.3
I need help math Brainliest
Answers
that is the reason you would want a larger than normal financial reserve
hey I really need help its a test -3x=48
5x-1=29
4(x-6)+7=23
3(x-4)+5x=4
Answers
5x-1=29 --> x=6
4(x-6)+7=23 --> x=10
3(x-4)+5x=4 --> x=2
A certain drug is made from only two ingredients: compound a and compound
b. there are 7 milliliters of compound a used for every 4 milliliters of compound
b. if a chemist wants to make 748 milliliters of the drug, how many milliliters of compound b are needed?
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which trig functions have a period of 2pi?
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what is the answer too......5(x+9)
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To solve for x in this problem, we need to distribute the 5 using the distributive property and then simplify.
5 * x + 5 * 9
= 5x + 45
So, the most simplified form of this expression would be 5x + 45.
Hope this helps!
5*x + 5*9 =
5x + 45
You have to get the x alone so divide both of them by 5
5x/5 + 45/5 =
x + 9
To get the x alone subtract it.
x - x + 9 =
9 = -x can't leave x a negative so dived both sides by -1
9/-1 = -x/-1 =
-9 = x or x = -9
Hope this Helps!
the leg of each isosceles right triangle when the hypotenuse is of the given measure. Given = 5sqrt6
Answers
Identify the 25th term of the arithmetic sequence 2, 1 and 3 over 5,
1 and 1 over 5 …
@ranga
Answers
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5
Therefore your arithmetic sequence is 2, 8/5, 6/5, ...
In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the following term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5
Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence,
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5
-7 3/5 is the correct answer simplified.
I would like help with the question. It's part of my assigment, but I have trouble with this type of math. If someone understands, can you explain it to me as well? For future reference?
In Panama City in January, high tide was at midnight. The water level at high tide was 9 feet and 1 foot at low tide. Assuming the next high tide is exactly 12 hours later and that the height of the water can be modeled by a cosine curve, find an equation for water level in January for Panama City as a function of time (t).,
Answers
Problems where sine or cosine functions are used to model periodic behavior are problems in scaling. You need to match the period and amplitude of your scaled cosine function to the period and amplitude of the phenomenon you are modeling.
Here, high tides are 12 hours apart, so we need to scale x by a factor that turns 12 hours into 2π. That might be x ⇒ 2πx/12 or (π/6)x.
The high tide is 9 ft, and the low tide is 1 ft, so we need to do vertical offset and scaling to make the peak of our transformed cosine function be 9 and its minimum be 1. That difference is 8, so has an amplitude of ±4 around a midline of (9+1)/2 = 5.
Then our tide model is
.. water level = 5 +4*cos((π/6)t)
54 is 60% of what number?
Enter your answer in the box.
Answers
I hope I helped!
Answer:The answer would be 90
Step-by-step explanation:
How do I solve this? Please explain.
Answers
The first candle will have a volume of
.. V = Bh = (21 cm^2)*(8 cm) = 168 cm^3
The second candle will have a volume of
.. V = Bh = (7 cm^2)*(14 cm) = 98 cm^3
The total volume of the two candles is
.. 168 cm^3 +98 cm^3 = 266 cm^3
Josie is 6 cm^3 short of the amount required for the two candles she has in mind.
No, the base area of the second candle cannot be 7 cm^2. There is not enough wax to make a candle with that area 14 cm tall.
Hi need this done fast, please
Andrea is planting a rectangular garden with a length of 6 feet and a width of 5 feet. Her mother is planting another garden that is 60% of the length of Andrea's garden and 150% of the width of Andrea's garden.
The length of her mother's garden is--- feet, and the width is---- feet.
Answers
60% of 6 is 3.6
3.6 x 6 = 21.6
Width:
150% of 5 is 7.5
7.5 x 5 = 37.5
So her mothers garden should be 21.6 feet in length, and 37.5 feet in width.
Find the area of a parallelogram with a height 15 cm and a base of 18 and 2/3 cm
Answers
The formula for area of a parallelogram is [tex]A = bh[/tex], where [tex]b[/tex] is the base and [tex]h[/tex] is the height.
You're given the values of both the base and the height, so you can just plug these values into the formula for area. It will be easier to multiply if we convert the mixed number to an improper fraction first, so I'll do that.
[tex]18 \frac{2}{3} = \frac{56}{3} [/tex]
[tex]A = bh[/tex]
[tex]A = \frac{56}{3} *15[/tex]
[tex]A= \frac{56}{3} * \frac{15}{1} [/tex]
[tex]A= \frac{840}{3} [/tex]
[tex]A=280[/tex]
Answer:
The area of the parallelogram is 280 cm².
Arrange the summation expressions in increasing order of their values.
Answers
[tex]\sum_{i=1}^{4}4(5)^{i-1} = (4(5)^{1-1}) + (4(5)^{2-1}) + (4(5)^{3-1}) + (4(5)^{4-1})[/tex]
[tex]=4+20+100+500 = 624 [/tex]
[tex]\sum_{i=1}^{5}3(4)^{i-1} = (3(4)^{1-1}) + (3(4)^{2-1}) + (3(4)^{3-1}) + (3(4)^{4-1}) + (3(4)^{5-1})[/tex]
[tex]=3+12+48+192+768=1023[/tex]
[tex]\sum_{i=1}^{2}5(6)^{i-1} = (5(6)^{1-1}) + (5(6)^{2-1})[/tex]
[tex]=5+30=35[/tex]
[tex]\sum_{i=1}^{4}5^{i-1} = (5^{1-1})+(5^{2-1})+(5^{3-1})+(5^{4-1}) [/tex]
[tex]=1 + 5+ 25+125 = 156[/tex]
So, our totals are: 624, 1023, 35, and 156. So clearly, 1023 > 624 > 156 > 35. W can write it as (your answer):
[tex]\sum_{i=1}^{2}5(6)^{i-1} <\sum_{i=1}^{4}5^{i-1} <\sum_{i=1}^{4}4(5)^{i-1} < \sum_{i=1}^{5}3(4)^{i-1} [/tex]
Hope this helps! If anything is confusing, you can always DM me.
∑ 4 * 5^(i-1) = 4 + 20 + 100 + 500 = 624
∑ 3 * 4^(i-1) = 3 + 12 + 48 + 192 + 768 = 1,023
∑ 5* 6^(i-1) = 5 + 30 = 35
∑ 5^(i-1) = 1 + 5 + 25 + 125 = 156
Answer:
∑ (i=1, 2) 5 * 6^(i-1) < ∑ (i=1, 4) 5^(i-1) < ∑ (i=1, 4) 4 * 5^(i-1) <
< ∑ (i=1, 5) 3 * 4^(i-1)
PLEASE SOMEONE HELP ME WITH THIS
Hurryyy!!!!
ASAP~ BRAiNLiEST AVAILABLE TO CORRECT ANSWER
1st Blank options : +6, +1, +7, +13
2nd blank options: 7,13, 6, 1
3rd blank options: +6 , -1 , +7 , +1
4th blank options: 71 ,59, 69, 61
Answers
[tex]\sf f(1)=7,f(n)=f(n-1)[/tex]
It gives us the first value, which is 7. The second part means that for whatever term we want to find, we plug that in for 'n'. Say we want to find the second term, let's plug in 2 for 'n':
[tex]\sf f(2)=f(2-1)=f(1)[/tex]
We are left with f(1), which is given as 7. So the second term is 7 and then we have the leftover blank. We already know that the second term is 13. 13 - 7 = 6. Therefore, what must be missing from this recursive formula is + 6.
[tex]\sf f(n)=f(n-1)+6[/tex]
For the explicit function, we want to know what will give us these same values if we plugged in which term we want for 'n'. So if we plugged in 1 for 'n', we want to get 7, and if we plugged in 2 for 'n' we want to get 13, and so on. I can spot the similarity that all of these are additions of 1 to the multiples of 6. 6 * 1 = 6 + 1 = 7, 6 * 2 = 12 + 1 = 13, and so on. We could just write this as:
[tex]\sf 6n+1[/tex]
If you tried plugging in 1, you'd get 7, if you plugged 2 in, you'd get 13, and so on. So this is our explicit formula, the 2nd blank should be 6, and the 3rd blank should be + 1.
For the fourth blank, f(10) would just be plugging in 10 for 'n' into our formula, let's do this:
[tex]\sf 6n+1[/tex]
[tex]\sf 6(10)+1[/tex]
Multiply:
[tex]\sf 60+1[/tex]
Add:
[tex]\sf 61[/tex]
So the 4th blank should be 61.
2nd blank: The way we write the generic term of an arithmetic sequence is
a[n] = a[1] +d*(n -1)
You have a[1] = 7 and d = 6, so this is
a[n] = 7 +6*(n -1) = 6 +6n -6 = 6n +1
The appropriate choice for the 2nd blank is "6"
3rd blank: see the discussion for the 2nd blank. The appropriate choice is "+1"
4th blank: a[10] = 6*10 +1 = 61. The appropriate choice is "61"
A man 50 years old has 8 sons born of equal intervals. The sum of the ages of the father and sons is 186. What is the age of the eldest son if the youngest is 3 years old.,
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To find the age of the eldest son in a family where the father is 50 and has 8 sons with a total age sum of 186, and the youngest son is 3, one can determine the age difference between siblings and use the formula for the sum of an arithmetic series.
The question is asking us to determine the age of the eldest son, given that the sum of the ages of a 50-year-old father and his 8 sons is 186 years and the youngest son is 3 years old. Let's assume that the sons are born at equal intervals; we can denote the age difference between each son as 'd' years.
The sequence of the sons' ages forms an arithmetic series where the youngest son is 3 years old (the first term of the series, or 'a1'), and the eldest son's age will be 'a1 + 7d' (since there are 8 sons).
Since the sum of an arithmetic series is given by the formula 'n/2 * (a1 + an)', where 'n' is the number of terms, 'a1' is the first term and 'an' is the last term, we can set up the equation:
8/2 * (3 + (3 + 7d)) = 186 - 50 (subtract the father's age from the total sum).
This simplifies to 4 * (3 + 3 + 7d) = 136, or '4 * (6 + 7d) = 136'. Dividing both sides by 4, we get '6 + 7d = 34', which leads to '7d = 28' and thus 'd = 4'.
Therefore, the age of the eldest son will be '3 + 7*4', which equals 31 years old.
A baker has three banana muffin recipes. Recipe A uses 3 bananas to make 12 muffins. Recipe Buses 5 bananas to make 24 muffins. Recipe C uses 11 bananas to make 48 muffins.
Answers
Answer:
From least to Greatest: B, C, A
Step-by-step explanation:
For each recipe, dividing the number of bananas needed by the number of muffins will give us the number of bananas per muffin.
A: 3/12 = 0.25B: 5/24 = 0.21C: 11/24 = 0.23As you can see here, Recipe A gives you 0.25 Bananas per muffin, Recipe B gives you 0.21 Bananas per muffin and recipe C will give you 0.23 Bananas per muffin.
Hope this helps!
Answer:
B,C,A
Step-by-step explanation:
Colinda has just purchased her first home for $125,000. She put down a 20 percent down payment of $25,000 and took out a 4 percent mortgage for the rest. Her mortgage payment is $477 per month. How much of her first monthly mortgage payment is amortization?
Answers
Colinda's first monthly mortgage payment includes $143.70 towards amortization, after subtracting the first month's interest of $333.30 from the total payment of $477.
Explanation:To determine how much of Colinda’s first monthly mortgage payment is for amortization, we must first calculate the amount of her payment that goes towards interest and then subtract this from the total monthly payment.
Colinda bought a house for $125,000, made a 20% down payment ($25,000), and took out a mortgage for the remaining $100,000 at a 4% annual interest rate. Her monthly mortgage payment is $477.
First, calculate the monthly interest rate: 4% annually means 0.04 / 12 per month = 0.003333. Therefore, the first month’s interest on the mortgage is $100,000 * 0.003333 = $333.30.
Next, subtract the interest from the total monthly payment to find the amortization portion: $477 (total monthly payment) – $333.30 (interest) = $143.70 towards amortization.
The amount of Colinda's first monthly mortgage payment that is amortization is approximately $143.67.
To separate the interest portion from the total payment.
First, let's calculate the monthly interest rate:
[tex]\text{Monthly interest rate} = \frac{4 \%}{12} = \frac{0.04}{12} = 0.00333 \text{ (approx.)}[/tex]
Next, we calculate the interest portion of the first payment:
[tex]\text{Interest portion} = \text{Principal} \times \text{Monthly interest rate}[/tex]
[tex]\text{Interest portion} = 100,000 \times 0.00333 = 333.33 \text{ (approx.)}[/tex]
Now, to find the amortization portion, we subtract the interest portion from the total monthly payment:
[tex]\text{Amortization portion} = \text{Total monthly payment} - \text{Interest portion}[/tex]
[tex]\text{Amortization portion} = 477 - 333.33 = 143.67[/tex]
Medal will be given to the best answer.
Which of the following is a solution to the equation y = 3x - 1 ?
A. (4,1)
B. (2,5)
C. (4,3)
D. (0, -3)
Answers
For this problem, simply plug in the X values and calculate the Y value and verify that the Y value matches the value given.
A. (4,1); X = 4: 3x - 1 = 3*4 - 1 = 12 - 1 = 11. 11 does not match 1.
B. (2,5); X = 2: 3x - 1 = 3*2 - 1 = 6 - 1 = 5. 5 matches 5.
C. (4,3); X = 4: 3x - 1 = 3*4 - 1 = 12 - 1 = 11 does not match 3
D. (0,-3); X = 0: 3x - 1 = 3*0 - 1 = 0 - 1 = -1 does not match -3
And of the above, only option "B. (2,5)" matches.
What was the original price if:
a
after increasing by 30% it became $520?
Answers
130% x = 520 Change a % to a decimal
(130/100) x = 520
1.3 x = 520 Divide by 1.3
x =520 / 1.3
x = 400
So the original cost of the item was 400 dollars.
Answer:
Original price was $400.
Step-by-step explanation:
Let the original price = x dollars.
It is given that the new price is obtained by increasing the original price by 30% i.e. 0.3
As, the new price is $520.
So, we have the relation,
[tex]x+0.03x=520[/tex]
i.e. [tex]1.3x=520[/tex]
i.e. [tex]x=\frac{520}{1.3}[/tex]
i.e. x = 400
Hence, the original price was $400.
25 points!
Answer both! please leave explanation!
Answers
sin 27 = 34/x
x = 34/sin27
x = 74.89
2) to find the value of x you'll use the tangent formula
tan 49 = x/55
55(tan49) = x
63.270