Answers
The first step is to see that sides OA, OC, OB are all equal because they are the radii of the circle. Knowing that those sides are equal means that we have isosceles triangles. That gives us that the base angles are the same.
In OAC, we can subtract 118 from 180 to give us 62 degrees for the 2 bases angles. This would make each angle 31 degrees.
In OBC, the base angles are already 31, leaving the other angle 118.
There we have all the angles the same and 2 sides the same.
You could use SAS or ASA to prove that the triangles are congruent.
I hope this helps!
Good luck,
MrEquation
Answer:
You could use SAS or ASA to prove that the triangles are congruent.
Step-by-step explanation:
Related Questions
Hattie jumps rope 57 times in 3 minutes. If Hattie jumps at a constant speed, how many times does she jump per minute?
Answers
57/3 = 19 jumps per minute
Answer: Hattie Can jump 57 times in 3 minutes so therefore she jumps 19 times per minute. Because if do 57/3 it would give you 19.
Hope this helped!
One half of some number
Answers
When you divide a number in half, you usually divide it by 2.
number=n
n/2 <== expression
I hope this helps!
~kaikers
The legs of a right triangle are 13 and 22 inches long. Needa says that the hypotenuse is 17.7 inches long and Monifa says that it is 25.6 inches long. Is either of them correct? Explain
Answers
Does the graph represent a function that has an inverse function?
A. Yes
B. No
Answers
Answer: A. Yes.
Step-by-step explanation:
To find out if the function represented in the graph has an inverse function, you must apply the Horizontal Line Test, which is used to know if a function is a One-to-one function.
A one-to-one function is that function where each x value has an unique y value.
Therefore, if in the Horizontal Line Test, the horizonal intersects the graph of the function at only and only one point, then the function has an inverse function.
As you can see in the graph attached, the horizontal lines intersect the function at only one point, therefore, you can conclude that it is a One-to-one function and it has an inverse function.
TRUE. The graph represents a function that has an inverse function because it passes the horizontal line test.
Explanation:The graph represents a function that has an inverse function if and only if each horizontal line crosses the graph at most once. This is known as the horizontal line test. If a function passes the horizontal line test, then it has an inverse function. If it fails the horizontal line test, then it does not have an inverse function.
In this case, we can see that the graph passes the horizontal line test because each horizontal line intersects the graph at most once. Therefore, the graph represents a function that has an inverse function.
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A circle has a diameter of 9 inches. What is the approximate ratio of the circumference of the circle to its diameter?
A) 22/7
B)7/22
C)1/2
D)2/1
Answers
Selection A.
if a/4 = b/7, what is the value of a-b/b ?
Answers
1. to simplify given expression (a-b)/b:
[tex] \frac{a-b}{b}= \frac{a}{b}-1;[/tex]
2. to rewrite given expression a/4=b/7:
[tex] \frac{a}{b} = \frac{4}{7};[/tex]
3. to substitute a/b into the simplified expression:
[tex] \frac{a}{b} -1= \frac{4}{7} -1=- \frac{3}{7};[/tex]
answer: -3/7
Genna can build a cabinet in 4 hours. Claude can build a cabinet in only 3 hours. Which of the following can be used to determine the amount of time it would take for Genna and Claude to build a cabinet together? (2 point
Answers
it is really
answer: 7 hours
starting value 16 increases by 50% with each teem
Answers
If I'm correct about what you're looking for, you'd add 8 each time since that's 50% of 16. Really hope this helps!
George does not like the fact that his neighborhood makes it mandatory to pay a yearly fee to use the pool. He conducts a survey of all the neighborhood families to help support his case that the yearly fee should be voluntary. The survey asks questions about pool usage and financial statistics of the families. Is this a valid survey? Why or why not?
Answers
Six cakes cost 3.60. How much do seven cakes cost
Answers
I say this because if you do 3.6 divided by 6 to find the amount that it costs per one cake... which is $0.60 then do .6x7 and you'll get 4.20
simplify the expression given below
Answers
Photomath is a great app to use for algebra problems.
Step 1:
Cross product for sum of fractions.
Step 2:
Rewrite the expression Adding and subtracting terms from the same grade.
Step 3:
Simplify expression.
Answer
Option 4
See attached image.
On a softball field, home plate is 43 feet from the pitcher’s mound. A ball is hit at an angle of 27° east of the pitcher’s mound. The ball travels 162 feet before it is caught by an outfielder. Law of cosines: a2 = b2 + c2 – 2bccos(A) Rounded to the nearest foot, the outfielder must throw the ball feet to return it to the pitcher.
Answers
Answer:
The outfielder must throw the ball 125 feet to return it to the pitcher.
Step-by-step explanation:
It is given that On a softball field, home plate is 43 feet from the pitcher’s mound. A ball is hit at an angle of 27° east of the pitcher’s mound. The ball travels 162 feet before it is caught by an outfielder.
Now, applying the law of cosines,
[tex]a^2=b^2+c^2-2bccosA[/tex],
Putting b=43, c=162 and A=27°, we have
[tex]a^2=(43)^2+(162)^2-2(43)(162)cos27^{\circ}[/tex]
[tex]a^2=1849+26244-12413.4[/tex]
[tex]a^2=15679.6[/tex]
[tex]a=125.21[/tex]
[tex]a[/tex]≈[tex]125 feet[/tex]
Thus, the outfielder must throw the ball 125 feet to return it to the pitcher.
In a certain class 40% of students are girls and 20% of the girls wear glasses what percent of the children in the class a girl who wear glasses?
Answers
40/100 students are girls.
20% of those 40 girls wear glasses.
So that's 20/40.
20/100
The percentage of the children in the class who is a girl and wears glasses is 8%.
Given that:
Total students in the class = 100%
Percentage of students in the class who are girls = 40%
Percentage of girls who wear glasses = 20%
It is required to find the percentage of students in the class who are girls wearing glasses.
This can be found as:
P = 40% × 20%
= 0.4 × 0.2
= 0.08
Now 0.08 in terms of percentage is 0.08 × 100 = 8%.
Hence the percentage of girls who wear glasses is 8%.
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if an object is shot with an initial velocity , vo, in feet per second(ft/s) the velocity, v, in ft/s is given by the formula v=v0 -32t, where t is time in seconds. find the initial velocity of an object if the velocity after 3 seconds is 31 ft/s
Answers
To find the initial velocity, we rearrange the given velocity equation to solve for the initial velocity, then substitute the given values. The initial velocity is found to be 127 ft/s.
Explanation:The given formula for velocity is v = v0 - 32t, where 'v' is the velocity at a certain time 't', and 'v0' is the initial velocity. In this case, we're given that v is 31 ft/s after 3 seconds. To find the initial velocity 'v0', you need to rearrange the equation to solve for 'v0'. This gives:
v0 = v + 32t
Substituting the given values into the rearranged equation gives:
v0 = 31ft/s + 32(3s)
This simplifies to:
v0 = 31ft/s + 96ft/s = 127ft/s
So the initial velocity of the object is 127 ft/s.
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What's the radius of a circle with an area of 64 square feet?
Answers
Answer:
4.51
Step-by-step explanation:
find the value of the combination
Answers
he circle shown below has AB and BC as its tangents: AB and BC are two tangents to a circle which intersect outside the circle at a point B. If the measure of arc AC is 160°, what is the measure of angle ABC? (1 point) 80° 40° 60° 20°
Answers
Angle A & C are each 90 degrees, and we're given that AOC (arc AC) is 160 degrees.
Therefore
angle ABC=360-160-90-90=20 degrees
Answer:
m∠ABC=20°
Step-by-step explanation:
Consider quadrilateral ABCO. The sum of the measures of all interior angles in quadrilateral ABCO is equal to 360°.
Lines BA and BC are tangent to the circle, then the radii OC and OA are perpendicular to the tangent lines BC and BA. Therefore,
m∠BCO=90°;m∠BAO=90°.The measure of the angle AOC is 160° (because the measure of arc AC is 160°). So,
m∠ABC+m∠BCO+m∠BAO+m∠AOC=360°,
m∠ABC=360°-(m∠BCO+m∠BAO+m∠AOC)=360°-(90°+90°+160°)=20°.
find the surface area
Answers
2(8)+2(1/2 14)+8
16+ 2(7)+8
16+14+8
38 sq. ft.
twice a number x is at most -24. 2x ≥ -24
Answers
The value of x should be equal to and greater than -12.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
twice a number x is at most -24.
So, the mathematical expression is
2x ≥ -24
Now, divide both side by 2
2x / 2 ≥ -24 /2
x ≥ -12
So, the value of x should be equal to and greater than -12.
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round the following number to the nearest hundredth which one of the numbers is in the hundreds place and does it go up or down I don't know which number is the hundredths place
Answers
Here is a quick order of place value:
Thousands
Hundreds
Tens
Units
(Decimal point)
Tenths
Hundredths
Thosandths
The distribution of the baggage weights for passengers using a particular airline has a mean of 19.4 lbs and a standard deviation of 5.3 lbs. what is the probability that for (a random sample of) 100 passengers … the total luggage weight is less than 2,100 lbs?
Answers
Answer:
0.9987
Step-by-step explanation:
Given that X, The distribution of the baggage weights for passengers using a particular airline has a mean of 19.4 lbs and a standard deviation of 5.3 lbs.
For a sample of size 100, we have
n=100
Hence std deviation of sample = [tex]\frac{SD}{\sqrt{n} } =0.53[/tex]
To find the probability that X>2100/100 lbs
=P(X<21[tex]\frac{21-19.4}{0.53} =3.019[/tex]) =P(Z<3.019)
=0.5+0.4987
0.9987
Verify the identity. Show your work. cos(α - β) - cos(α + β) = 2 sin α sin β
Answers
[tex]\bf {cos(\alpha - \beta)-cos(\alpha+\beta)}=2sin(\alpha)sin(\beta) \\\\\\ \stackrel{\textit{left-hand-side}}{[cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)]-[cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)]} \\\\\\ \underline{cos(\alpha)cos(\beta)} + sin(\alpha)sin(\beta)-\underline{cos(\alpha)cos(\beta)} + sin(\alpha)sin(\beta) \\\\\\ sin(\alpha)sin(\beta)+ sin(\alpha)sin(\beta)\implies 2 sin(\alpha)sin(\beta)[/tex]
By what percent will a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%?
Answers
If the numerator is decreased by 30% and its denominator is decreased by 50%
the new fraction becomes (0.7x/0.5y)=1.4(x/y)
The increase=(1.4-1)*100=0.4*100=40%
40 percent of a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, numerator is decreased by 30% and its denominator is decreased by 50%.
Let x/y be the original fraction.
Then, the new fraction is (x-30% of x)/(y-50% of y)
= 0.7x/0.5y
Now, difference = 0.7x/0.5y-x/y
= 0.7x/0.5y - 0.5x/0.5y
= 0.2x/0.5y
Percentage increase = 0.2x/0.5y ÷ x/y
= 0.2/0.5 ×100
= 40%
Therefore, 40 percent of a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%.
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One number is 4 less than twice a second number. find a pair of such numbers so that their product is as small as possible.
Answers
We have then:
x: unknown number.
First number: 2x - 4
Second number: x
The product of the numbers is:
[tex] y = x (2x-4) [/tex]
Rewriting:
[tex] y = 2x ^ 2-4x [/tex]
Deriving the equation we have:
[tex] y '= 4x-4 [/tex]
We equal zero and clear x:
[tex] 4x - 4 = 0 x = 4/4 x = 1[/tex]
Then, the first number is:
[tex] 2x - 4 = 2 (1) - 4 = 2 - 4 = - 2 [/tex]
Answer:
First number: -2
Second number: 1
Answer:
Numbers are -2 and 1.
Step-by-step explanation:
Let x be the second number,
⇒ First number = 4 less than twice a second number
= 2 × Second number - 4
= 2x - 4
Thus, the product of first and second number is,
[tex]f(x) = x(2x-4)[/tex]
[tex]\implies f(x) = 2x^2 - 4x[/tex]
Differentiating with respect to x,
[tex]f'(x) = 4x -4[/tex]
Again differentiating with respect to x,
[tex]f''(x) = 4[/tex]
Now, for maximum or minimum,
[tex]f'(x)=0[/tex]
[tex]\implies 4x - 4 = 0\implies 4x = 4\implies x = 1[/tex]
Since, for x = 1, f''(x) = Positive,
Therefore, the function f(x) is minimum for x = 1,
⇒ The product is smallest for x = 1,
Hence, the second number = x = 1,
And, first number = 2x - 4 = 2 - 4 = -2
The area of a triangular block is 25 square inches. If the base of the triangle is twice the height, how long are the base and the height of the triangle?
Answers
So here we have
25 = 1/2 * b * h
b = 2h so
25 = 1/2 * 2h * h
25 = h^2
h = 5
Answer : height = 5 inches and the base = 10 inches.
I NEED HELP PLEASE??!!!???
Answers
You can use different instruments for measuring capacity. You'll need to choose the most suitable instrument for the task.
You Need to Consider:
What you are measuring: Is it a large or small amount of liquid.
Whether the scale on the instrument goes up high enough, to do this you need to estimate the measurement. For example to measure 1.5 liters you can't use a jug that only measures up to 1 liter.
What measuring instruments you have available
Whether the scale uses the correct units. Older measuring instruments might have this scale in imperial units, fluid ounces (FL oz.).
Whether the scale will give you an accurate enough reading. Are the divisions small enough?
Here are some examples:
1. You can use a medicine cup to measure small amounts of liquid. It has a Capacity of 30 ml.
2. You can use a Jug in the kitchen. It has a Capacity of 1 liter. The jug's scale in metric units (liters and milliters), and imperial units (pints and fluid ounces).
3. You can use the scale on a kettle to measure amount of water you want to boil. It has a Capacity of 1.7 liters.
4. You can use a bucket to measure large amounts of liquid. This one has a capacity of 11 liters.
Hope this Helps!!!!
Dylan made his credit card payment at noon on the payment due date. According to Consumer Protection Law, how much time does the bank have to credit the payment to his account?
Answers
Answer:
Step-by-step explanation:
The transaction time is 24 hours or one business day.
Dylan made his credit card payment at noon on the payment due date. According to Consumer Protection Law, how much time does the bank have to credit the payment to his account? So, it is the same day/date or within 24 hours.
Final answer:
Banks are typically required to credit card payments to the customer's account by the end of the business day on which the payment was made, according to Consumer Protection Law. This ensures consumers are not unfairly charged late fees if payments are made on the due date.
Explanation:
The question concerns the timeframe within which a bank is required to credit a payment to a customer's account, according to Consumer Protection Law. If Dylan made his credit card payment at noon on the payment due date, the bank is typically required to credit the payment to his account by the end of that business day.
This requirement ensures that consumers are not unfairly penalized with late fees if they make their payment on the due date. It's essential for consumers to understand the specific policies of their credit card issuer and the relevant consumer protection laws to avoid any unnecessary charges. Timely payments are crucial for maintaining good credit health and avoiding additional fees.
Dana and her 4 friends are going on a camping trip. Dana wants to see how much fruit she can share so everyone will get the same amount of fruit. There are 5 apples, 10 oranges, 5 strawberries and 10 grapes. How much will each person get?
Answers
From a group of 10 candidates, a committee of 4 people is selected. In how many different ways can the committee be selected?
Answers
Identify the percent of change as increase or decrease then find the percent of change round to the nearest tenth of a percent (if necessary)
1. 6 yards to 36 yards
2. 6 hits to 3 hits
3. 120 meals to 52 meals
4. 35 words to 115 words
Answers
Here is the first answer:
The answer is "16.6 or 17%".
Reason:
636 x 100% = 16.6666666667%
Here is your second answer:
The answer is "50%".
Reason:
36 x 100% = 50%
Here is your third answer:
The answer is "43.3 or 43%".
Reason:
52120 x 100% = 43.3333333333%
Here is your fourth answer:
The answer is "328.5 or 329%".
Reason:
11535 x 100% = 328.5714285714%
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit