Drag and drop to complete the proof below:
Given: DE is tangent to circle C, at point F
Prove:
E
D
F
חד
C
Answers
The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
DE is tangent to circle C, at point F.
Then prove that angle ∠FEC and angle ∠ECF are complementary angles.
We know that the radius of the circle and the tangent on the circle make a right angle at the circumference.
Then angle ∠EFC will be 90°.
The sum of all interior angles of the triangle is 180°. Then we have
∠FEC + ∠ECF + ∠EFC = 180°
∠FEC + ∠ECF + 90° = 180°
∠FEC + ∠ECF = 90°
The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.
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Related Questions
Of the variables affecting your auto insurance, are any of them truly random variables?
Answers
The true statement about auto insurance is : ( D ) Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.
What is Auto insurance ?Auto insurance is a contract entered between a car owner or his representative with an insurance company, which protects the car owner from any financial losses arising from the damage or loss of the car. A premium is been paid as agreed between the car owner and the insurance company to keep the auto insurance active.
The premium amount varies from company to company.
In conclusion Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.
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Which of the following is equivalent to the expression below?
√16x^3
8x 2/3
4x 3/2
8x 3/2
4x 2/3
Answers
So that is equal to
8*3/2=12
The sun has a radius of 4.32 X 10 5 miles question ( need a answer )
Answers
Answer:
(D) 4/3π(8.06×10^16)
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
__
Using the given value for the radius, the volume of the Sun is ...
V = 4/3π(4.23×10^5 mi)³ ≈ 4/3π(8.06×10^16) mi³
A pair of shoes cost $92. What would be the total cost with 7% sales tax
Answers
Answer:
$98.44
Step-by-step explanation:
take $92 x .07 = $6.44 (tax amount)
$92+$6.44=$98.44
Write the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3. (Use the letter x to represent the variable.)
Answers
The quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3 will be 3x² - 15x + 18 = 0.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
Then the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3.
Then the factor or the quadratic equation will be
(x - 2) and (x - 3)
Then the equation will be
3(x - 2)(x - 3) = 0
3(x² -2x -3x + 6) = 0
3(x² - 5x + 6) = 0
3x² - 15x + 18 = 0
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Express this ratio as a fraction in simplest form. For homework, a student had to complete 15 problems total. If she finished 6 problems in class, what is the ratio of problems she still needs to complete to problems that she's already finished?
Answers
Answer:
3:2.
Step-by-step explanation:
They have 15 - 6 = 9 problems to do, so it is:
9:6
= 3:2.
Answer:
9/15
Step-by-step explanation:
15 - 6 = 9 as a fraction would be 9 meaning what is left and 15 as meaning how much they started with so it is 9/15 also called 9 over 15
Hope This Helped
Slide the green dot Use the number line to plot the numbers. Then arrange
them in order from smallest 1 to largest 4
Answers
I don't see any green dot, sorry.
Can somebody please help me with this please and thankyou!!
Answers
Answer:
a) x=loge3 ( log e base 3)
b)4=e^y
Answer:
A.) loge(x)=3
B.) e^y =4
Step-by-step explanation:
A.) loge(x)=3
B.) e^y =4
When specific frequencies of______are absorbed by a material, it forms an absorption spectrum.
A. mass
B. light
C. lightyears
D. weight
Answers
Answer:
B. light
Step-by-step explanation:
When specific frequencies of light are absorbed by a material, it forms an absorption spectrum.
Suppose the base and height ( 8 and 6) are multiplied by 1/2, what effect would this have on the area
Answers
Answer:
Here is the answer hope it helps:)
Reduce the fraction, then change to a mixed number. 20/3
Answers
[tex] \frac{20}{3} [/tex]
To find:[tex] \frac {20}{3} [/tex] as a mixed number.
Solution:First, divide the numerator by the denominator.
[tex]20 \div 3 [/tex]
[tex] = 6 \: R2[/tex]
Then, write the whole number value and use the remainder as the numerator over the denominator. As we all know the denominator won't change.
[tex]\large\boxed{\sf{= 6 \frac{2}{3}}}[/tex]
Which is an advantage of using an ATM as opposed to a bank teller? Select all that apply.
24-hour access
greater number of locations
faster transactions
personal interactions
more types of services
Answers
Edna raises money for charity and donates $123 per week. How much does Edna donate to charity each year? Note: There are
52 weeks in a year.
A. $6,426
B. $6,406
C. $6,396
D. $6,356
Answers
Look at the rectangle. Write how many.
How many rows?
How many columns?
How many square tiles
Answers
There is only one row
3 columns
and 3 square tiles
(x - 9)2 + (y - 4)2 = 400
Center:
Radius:
Answers
Answer:
Center: (9, 4)
Radius: 20
Explanation:
(x - 9)² + (y - 4)² = 400
The Circle Formula:
(x - h)² + (y - k)² = r²
where (h, k) is center points, r is radius
Rewrite the equation:
(x - 9)² + (y - 4)² = 20²
Identify following:
h = 9, k = 4, radius = 20
I need of helppp please
Answers
Answer:
6
Step-by-step explanation:
The sides are in proportion.
[tex]\frac{BC}{QR}= \frac{AB}{PQ}[/tex]?/18 = 2/6?/18 = 1/3? = 18/3? = 6HELP ME PLS I AM DESPERATE
Madeline scored 75 and 80 on her first two exams. What score does she need to achieve on the third exam in order to earn an average of 85?
Answers
Answer:
100
Step-by-step explanation:
75 + 80 + 100 divided by 3 = 85
2. The next Saturday, the two friends leave at the same time a ain, and Kiran jogs twice
as fast as Clare walks. Where on the rail trail do Kiran and Clare meet?
Answers
Answer:
the end by the finish line
a grandmother deposits $6000 in an account that pays 9% compounded monthly. What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
Answers
now, we're assuming she made the deposit at the child's birth, namely when year was 0, at the child's twenty-first birthday that'll be 21 years later.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &21 \end{cases} \\\\\\ A=6000\left(1+\frac{0.09}{12}\right)^{12\cdot 21}\implies A=6000(1.0075)^{252}\implies A\approx 39437.11[/tex]
Answer the volume based Question. I will make uh brainliest + 50 points
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
the volume (V) of the cylinder is calculated as
V = πr²h ( r is the radius and h the height ) , then
V = π × a² × 2a = 2a³π
(b)
the volume of the prism is calculated as
V = Ah ( A is the cross- sectional area and h the height ) , then
a²b = 2a³π ( divide both sides by a² )
b = 2πa
Ralph deposited $910 in an account that pays 1.75% simple interest, for three years.
How much interest did the account earn?
What is the ending balance?
How much interest did the account earn the first year?
How much interest did the account earn the third year?
Answers
Answer:
Find the interest. Formula interest = PRT Principal x rate x time
910.00 x 1.75% x 1 =
910.00 x 0.0175 x 1 =
15.93 is the interest.
Step-by-step explanation:
pls answer quickly. thanks <3
Answers
Answer:
4522mm³
Step-by-step explanation:
7×50×9 + 28×7×7 = 4522
Answer:
4522 mm^3.4522 mm^3.
Step-by-step explanation:
Splitting this up into 2 prisms, one vertical and the other horizontal:
Volume of each prism = length * width * height:
Volume of the figure =
Horizontal + vertical prism
= 7 * 9 * 50 + 7* 7* 28
= 3150 + 1372
= 4522 mm^3
If tan theta=8÷15 find sin theta+cos theta÷cos theta (1- cos theta)
Answers
Answer: 371/30
Step-by-step explanation:
Katie recorded the length in inches of the ribbon pieces she was going to use for a project use this information for questions one and two which line plot correctly shows the data
Answers
Answer:
you didnt show any picture so i cant answer
Step-by-step explanation:
Answer:
D OR B hope this helps!
Step-by-step explanation:
John has a monthly net income of $2,376.80. John allots 20% of his income for food, which amounts to
Answers
Answer: 20% of 2,7376.80 = 475.36
Step-by-step explanation:
2,376.80(0.2)=475.36
Can someone help me with this please?
Answers
f hi I chhiring Tamang I read in hdidieje
Gustavo is in a contest where he will win one of four possible prizes. He creates a four-part spinner to represent the four prizes that he has an equal chance of winning: a video game system, a bicycle, a watch, and a gift card. He spins the spinner several times to demonstrate the likelihood of winning a certain prize.
What is true about Gustavo’s method of data collection and his data on the possible prizes?
Gustavo used an experiment where the data is qualitative.
Gustavo used an experiment where the data is quantitative.
Gustavo used a simulation where the data is qualitative.
Gustavo used a simulation where the data is quantitative.
Answers
The correct option about Gustavo’s method of data collection and his data is Gustavo used a simulation where the data is qualitative.
What is qualitative data?Qualitative data is data that describes the properties that a certain object or event possesses. The numerical value assigned to qualitative data do not have an significance. A simulation is a form of test run for an actual event.
To learn more about qualitative data, please check: https://brainly.com/question/17741728
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Answer:
ITS C
Step-by-step explanation:
Solve for x 5.2³x = 21.
Answers
Answer:
D) 0.69
Step-by-step explanation:
Given :
5 × 2³ˣ = 21
Divide by 5 on each side :
1/5 x 5 x 2³ˣ = 1/5 x 212³ˣ = 4.2Taking the cubic root :
∛2³ˣ = ∛4.22ˣ = 1.61Using logarithm values :
log(2ˣ) = log(1.61)x log(2) = log(1.61)x = log (1.61) / log (2)x = log₂ (1.61)x = 0.69 (approximately)Answer:
D. 0.69
Step-by-step explanation:
Given equation:
[tex]5 \cdot 2^{3x}=21[/tex]
Divide both sides by 5:
[tex]\implies \dfrac{5 \cdot 2^{3x}}{5}=\dfrac{21}{5}[/tex]
[tex]\implies2^{3x}=4.2[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies(2^3)^x=4.2[/tex]
[tex]\implies8^x=4.2[/tex]
Take natural logs of both sides:
[tex]\implies \ln 8^x=\ln 4.2[/tex]
[tex]\textsf{Apply the log Power law} \quad \ln x^n=n\ln x :[/tex]
[tex]\implies x \ln 8=\ln 4.2[/tex]
Divide both sides by ln 8:
[tex]\implies \dfrac{x \ln 8}{\ln 8}=\dfrac{\ln 4.2}{\ln 8}[/tex]
[tex]\implies x=\dfrac{\ln 4.2}{\ln 8}[/tex]
[tex]\implies x=0.690129776...[/tex]
[tex]\implies x=0.69 \: \sf (2\:dp)[/tex]
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 10,901 total votes, how many yes votes were there?
Answers
How can you find the value of p? Is the value of p for your parabola positive or negative? Explain.
Answers
Answer:
haha kala mo ba maiinit
Step-by-step explanation:
[tex]\green{ \rule{500pt}{999999pt}}[/tex]
