Answers
The value of x for the given circle will be going to be 50°.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In another meaning, a circle is a geometrical figure whose shape is just like round wheel.
In our daily life, we always see circle objects for example our bike wheel.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Angles of Intersecting Chords Theorem;
When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.
So angle x = (60° + 40°)/2 = 50° hence it will be correct answer.
To learn more about the circle,
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Related Questions
plsss help!!!!! Mhanifa
Answers
Answer:
See belowStep-by-step explanation:
Total number of ornaments:
24 + 12 + 8 + 19 = 63a)
P(gold) = gold / total = 12/63 = 4/21b)
P(silver) = silver/total = 24/63 = 8/21c)
P(gold or silver) = (12 + 24)/63 = 36/63 = 4/7Answer:
8)
total ornament: 24 + 12 + 8 + 19 = 63
a. probability its a gold ornament: [tex]\frac{12}{63}[/tex] → [tex]\frac{4}{21}[/tex]
b. probability its a silver ornament: [tex]\frac{24}{63}[/tex] → [tex]\frac{8}{21}[/tex]
c. probability she will get gold or silver ornament: [tex]\frac{24}{63}[/tex] + [tex]\frac{12}{63}[/tex] = [tex]\frac{4}{7}[/tex]
Match together cards with equivalent ratios: 3:4, 10:5, 50:100, 2:1, 5:2, 15:20, 15:6, 1;2,
Answers
Answer:
Step-by-step explanation:
50:100 and 1:2
15:20 and 3:4
15:16 and 5:2
10:5 and 2:1
Hope this helps!
MULTIPLE CHOICE QUESTION
SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION
(5x-y=74
x + 4y = 14
2x=y=5
7x+2y=-10
Which of the following will be the new
equation when the top equation
is multiplied by 4?
5x-4y=7
20x-4y=7
20x-4y=28
5x-y=28
Answers
Answer:
It will be: ( 5x - y =7 )4
20x - 4y = 28
Option (C)
Several students named their favorite flavor gum. Write the ratio that compares the
number who chose fruit to the total number of students. Write in all 3 ways.
Answers
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
=.
10
10
15. 7
14. 11
How do you do this? Please help.
Answers
what is the relationship between slope and unit rate?
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Answer:
For an equation such as y = 2.6x, the slope is the unit rate, which is the coefficient of x. For a table, the change in y divided by the change in x is the unit rate, or slope.
For a 15 year mortgage of $200000 at 5.125%, how much money was paid back to the lender at the end of the 15 years?
Answers
Answer:
Step-by-step
Monthly payments on a $200,000 mortgage
At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.explanation:
hope this helped
Monthly payments on a $200,000 mortgage
At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.
The amount of money which is paid back to the lender at the end of the 15 years is $353,750.
What is Interest?Interest in simple terms is the extra amount that you have to pay if you borrow money or the extra money you get if you lend the money.
Given that,
Principal amount of the mortgage = $200,000
Rate of interest, r = 5.125% = 0.05125
Number of years, t = 15 years
Simple interest = Prt
= 200,000 × 0.05125 × 15
= 153,750
Total money paid back to lender = Principal amount + Interest amount
= $200,000 + $153,750
= $353,750
Hence the money paid back is $353,750.
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Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The total score of the four sections on the test ranges from 472 to 528. In spring of 2019, the mean score was 500.9, with a standard deviation of 10.6.
Find the median of the MCAT scores.
Give your answer to three decimal places.
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Using the normal distribution, it is found that the median of the MCAT scores was of 500.9.
Normal Probability Distribution
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The median is also the 50th percentile, hence, in the normal distribution, it is equals to the mean.In this problem, the mean score was 500.9, hence the median score was also of 500.9.
You can learn more about the normal distribution at https://brainly.com/question/24663213
Use the fact that the quantity of a radioactive substance after t years is given by
q = q0(2−t/k),
where q0 is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay).
The half-life of strontium-90 is 25 years. Find the amount of strontium-90 remaining after 20 years if
q0 = 87 kg.
(Round your answer to the nearest kg.)
Answers
Answer:
50 kg
Step-by-step explanation:
Put the given numbers into the given formula and do the arithmetic.
q = q0(2^(-t/k))
q = (87 kg)(2^(-20/25)) = (87 kg)(0.574349)
q ≈ 50 kg
The amount remaining after 20 years is about 50 kg.
Jane has $1 and 6 quarters in her pile. Jeremiah has 10 quarters in his pile. If Jane gives
Jeremiah $1 and Jeremiah gives Jane 4 quarters, will the two piles still be equal in value? Explain
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Consider in the figure below.
The perpendicular bisectors of its sides are , , and . They meet at a single point .
(In other words, is the circumcenter of .)
Suppose , , and .
Find , , and .
Note that the figure is not drawn to scale.
Answers
Here BD is perpendicular bisector
So
UB=BV=74[tex]\\ \tt\hookrightarrow UV=74+74=148[/tex]
Apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow BD^2=UD^2-UB^2=UD^2-VD^2[/tex]
UD=VD=78=TD[tex]\\ \tt\hookrightarrow TC^2=TD^2-CD^2[/tex]
[tex]\\ \tt\hookrightarrow TC^2=78^2-30^2[/tex]
[tex]\\ \tt\hookrightarrow TC^2=6084-900=5184[/tex]
[tex]\\ \tt\hookrightarrow TC=72[/tex]
Answer:
UV = 148
VD = 78
TC = 72
Step-by-step explanation:
BD is the perpendicular bisector of side UV.
Therefore, ΔUDV is an isosceles triangle.
This implies that UD = VD and BV = UB so UV = 2 x BV
Given that UD = 78, and UD = VD, then VD = 78Given that BV = 74, and BV = UB, then UV = 2 x 74 = 148ΔUDC is a right triangle.
Given CD = 30 and UD = 78,
and using Pythagoras' Theorem, we can calculate UC:
UC = √(UD² - CD²)
⇒ UC = √(78² - 30²)
⇒ UC = 72
CD is the perpendicular bisector of side UT.
Therefore, ΔUDT is an isosceles triangle, so UC = TC
Since UC = 72, then TC = 72
calculate each of the following
9/25÷3/50
Answers
Answer:
6
Step-by-step explanation:
First divide 9 by 25 to get 0.36 and then divide 3 by 50 to get 0.36 . Finally divide the first result which os 0.36 by the second result which is 0.06 to get 6
Will give 50points Pleasee help urgent!
Answers
Answer:
a = 10; a = 2
Step-by-step explanation:
Step 1: Use the Pythagorean theorem to solve this equation
1. Orignal eqaution: (a + 2)² + (a - 5)² = (a + 3)²
2. Expand (a + 2)² + (a - 5)² which will give us 2a² - 6a + 29
3. Expand (a + 3)² giving us a² + 6a + 9
4. Simplified equation: 2a² - 6a + 29 = a² + 6a + 9
Step 2: Subtract 9 from both sides
1. 2a² - 6a + 29 - 9 = a² + 6a + 9 - 9
2. Simplify: 2a² - 6a + 20 = a² + 6a
Step 3: Subtract 6a from both sides
1. 2a² - 6a + 20 - 6a = a² + 6a - 6a
2. Simplify: 2a² -12a + 20 = a²
Step 4: Subtract a2 from both sides
1. 2a² - 12a + 20 - a² = a² - a²
2. Simplify: a² - 12a + 20 = 0
Step 5: Use the quadratic formula to solve for a
1. Quadratic formula: a = -b += √b² - 4ac/2a
2. Plug in the correct values: a = -(-12) += √(-12)² + 4(1)(20)/2(1)
3. Simplify the numerator and denominator: 12 += 8/2
4. Final equation: a = 12 - 8/2 or a = 12 + 8/2
5. Hence, the answer is 10 or 2
what is 90 divided by 19 +607 divided by 1
Answers
Answer:
611.73
Step-by-step explanation:
90 divided by 19 is 4.73 then add 607 which adds up to 611.73 then divide by 1 which is 611.73
If (2^a)=(3^b), what is the ratio of a to b?
Please use logarithms in the solution and explain.
Answers
Answer:
Step-by-step explanation:
Taking the log of both sides, we get:
a log 2 = b log 3
b log 3
Dividing both sides by log 2 yields a = ------------------
log 2
Finally, dividing both sides by b yields the desired ratio, a/b:
a log 3
---- = --------------
b log 2
find the value of x.
Answers
Answer:
x = 145
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
35+x+35+x = 360
2x+70 = 360
Subtract 70 from each side
2x+70-70 = 360-70
2x = 290
Divide by 2
2x/2 =290/2
x = 145
Answer:
x=145
(145+145+35+35=360)
Step-by-step explanation:
This question is very simple to answer if you remember that all parallelograms have two pairs of equal and opposite angles, and that the four angles in any quadrilateral must add up to 360 degrees.
Billy has a credit card with a current balance of $3,500 and a 16% APR. With his current monthly payment, he will be able to pay off this debt in 15 months. But Billy just learned that he is getting a raise at work. If he puts all of the extra income from his raise into his monthly credit card payment, how much additional monthly income would he require from his raise to pay off the credit card in 12 months?
Answers
Answer:
It's A :)
Step-by-step explanation:
ur welcome
Answer:
✅ A. $58.57i took the test⬇️
i really need help please
Answers
The answer is the third option
What is the area of a circle with a diameter of 36 millimeters
Answers
Answer:A≈1017.88
Step-by-step explanation:
Answer:
A = 1017.88
Step-by-step explanation:
srry if its wrong ;-;
What is the area of the drawing of the trophy shown?
Answers
Answer:
The area of the drawing is 12 Squares
Number 3
Number 2 is done but part of it
Answers
Answer:
I believe the answer is B.1
Need help on these two please
Answers
Answer:
Given below.Step-by-step explanation:
Q.1.
[tex]ln\left(4\right)+\:ln\left(x\right)=ln\left(24\right)[/tex]
apply ln rules:
[tex]ln( 4 * x) = ln (24)[/tex]
cancel ln from both sides:
[tex]4x = 24[/tex]
divide both sides by 4:
[tex]x = 6[/tex]
Q.2.
[tex]2ln\left(x\right)=ln\left(4\right)+ln\left(9\right)[/tex]
apply ln rules:
[tex]ln\left(x^2\right)=ln\left(4*9\right)[/tex]
cancel ln from both sides:
[tex]x^2 = 36[/tex]
[tex]x = \pm6[/tex]
as ln cannot be negative:
[tex]x = 6[/tex]
HELP IM DESPRITE
A furniture designer has less than 175 minutes to spend painting her designs each day. Today, she has spent 45.5 minutes painting a table. Now she will paint x shelves, each of which takes 15.5 minutes.
What is the maximum number of shelves the designer can paint?
Enter your answer in the box.
Answers
Answer:
8
Step-by-step explanation:
45.5 + 15.5x < 175
15.5x < 129.5
x < 8.35
Answer: 8
35% of what number is 105?
Answers
Answer:
35 percent of 105 is 36.75 .
Helen is a sales person. She sold a cell phone for $93 and earned 20% commission. How much commission did Helen earn? help quick
Answers
Answer:
18.60
Step-by-step explanation:
Let's first know what commission meaning:
Commission: Commission is the amount of money an employee earns when they sell something
Now Let's Start Solving:
[tex]Formula:\frac{Part}{Whole} =\frac{percent}{100}[/tex]
[tex]\frac{x}{93} =\frac{20percent}{100}[/tex]
[tex]\frac{1860}{100} =\frac{100x}{100}[/tex]
[tex]\frac{1860}{100}[/tex]
[tex]x= 18.60[/tex]
Hence, Helen earn $18.60 in Commission.
[RevyBreeze]
Answer:
Helen earned 18.60 commission, thank me later! :)
Find the area of the shaded region.
Answers
Answer:
56
Step-by-step explanation:
8 x 8 = 64
4 x 4 = 16
16/2 = 8
64-8 =56
if you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make ..... grams of ....% sugar syrup.
Answers
Answer:
40 grams of 40% sugar syrup
Step-by-step explanation:
It is 40g because you are adding 10g of sugar to 30g of syrup
It is 40 % syrup because you start out with 20% sugar in 30 g. That means the 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.
Make equation to find percent
16/40=x/100
x=40
If you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make 40 grams of 40% sugar syrup.
10. There are 100 patients willing to join a study trying out a new drug for high
blood pressure. Of these participants, 42 are male and 58 are female. If two
people are chosen at random, what the probability that both are female?
Answers
Answer:
551/1650
Step-by-step explanation:
(58/100)(57/99)=551/1650
A daycare charges a base fee of $25 per week plus $3/hour for a child.
Write an equation that relates the weekly charge C (in dollars) to the number, x, hours, that a child is in daycare
Answers
According to the question ,
The base price is $25 per week . And per hour charge is $3/hour .So as per the question if we assume that the babysitter looked after the child for x hours in a week then , the total charge will be ,
→ Charge = $3/hr * x hr= $3x
So the total cost for a week , will be ,
→ Total cost = Base price + Charge
→ Total cost = $25 + $3x
And in the question we are told to assume total cost to be $C . Therefore ,
→ $C = $ (25 +3x)
→ C = 25 + 3x
Hence the required equation is C = 25 + 3x.
I hope this helps.
Question is on the photo
Answers
Answer:
12 cm, 7 cm, 5 cm will not make a triangle
Step-by-step explanation:
The Triangle Length Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. 7 + 5 = 12 which isn't greater than 12.