Answer: If angle A is congruent to angle E
in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE ODA
The given triangles ΔDOA and ΔABC are right triangles that have a
common vertex at point A.
ΔDOA is similar to ΔABC, and ∠AEC is equal to ∠ABC, therefore, ∠AEC = ∠ODAReasons:
The given parameters are;
The diameter of the circle with center O = AB
DO ⊥ AB (DO is perpendicular to AB)
Required:
Prove that ∠AEC = ∠ODA
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. AB is the diameter of circle [tex]{}[/tex] 1. Given
2. DO is perpendicular to AB [tex]{}[/tex] 2. Given
3. ∠DOA = 90° [tex]{}[/tex] 3. Definition of DO ⊥ AB
4. ∠BCA = 90° [tex]{}[/tex] 4. Thales theorem
5. ∠BCA ≅ ∠BCA [tex]{}[/tex] 5. Reflexive property
6. ΔDOA ~ ΔABC [tex]{}[/tex] 6. AA similarity postulate
7. ∠ABC ≅ ∠ODA [tex]{}[/tex] 7. CASTC
8. ∠ABC = ∠ODA [tex]{}[/tex] 8. Definition of congruency
9. ∠AEC ≅ ∠ABC [tex]{}[/tex] 9. Angles in the same segment
10. ∠AEC = ∠ABC [tex]{}[/tex] 10. Definition of congruency
11. ∠AEC = ∠ODA [tex]{}[/tex] 11. Transitive property of equality
In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity
postulate, therefore, the three angles of ΔDOA are congruent to the three
angles of ΔABC.
Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles
are Congruent, CASTC.
Learn more about circle theorem here:
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Evaluate f(-2) = -3x² - 2x
Answer:
-2F=7x
Step-by-step explanation:
F*-2= -2F 3x*3x=9x
-2F=9x-2x
-2F=7x
x=y^2+4y+4 solve for y
Answer:
y=
x
−2
y=−
x
−2, x≥0
y=−
x−2, x≥0
Step-by-step explanation:
I want to know my grade if I have an 86 and I get a 0 and it’s worth 20% of my grade what will my grade be?
Answer:
your grade will be an 76
Step-by-step explanation:
5cm
10cm
Q
Q2
Q3
Referring to the diagram above.
if Q1 = 9.0 uC, Q2 = -5.0 uC and Q3 = 32.0 uc,
what is the magnitude of the electric field at Q2, due to Q1 and Q3?
The counting number ABAB is a multiple of 36. If different letters represent different digits, what is the greatest value ABAB can have? PLS HELP ONLY 10 minutes
The greatest value ABAB can have is 7272.
The given parameters:
Counting number ABAB = multiple of 36The counting number can be expanded as follows;
ABAB = 100 x AB + AB
= AB00 + AB
= AB(100 + 1)
= AB(101)
101 is a prime factor of AB and has only two factors.
The prime factor of 101 = 1 x 2
Since 101 is prime, the counting number AB must 2-digits multiples of 36.
The greatest value ABAB can have is calculated as follows;
ABAB = (36 x 2)(36 x 2)
ABAB = 7272
Thus, the greatest value ABAB can have is 7272.
Learn more about prime factors here: https://brainly.com/question/24612438
Find the value of x in the figure.
x = 64
since , it is vertically opposite
How do you factor x2 + 2xy + y2 -2^4
Answer:
try this answer x2 + 2xy + y2 - 16
Pedro had $14.90 in his wallet. He spent $1.25 on a drink. How much does he have left?
(a) Estimate the answer by rounding to the nearest whole numbers before subtracting.
(b) Find the difference. Show your work (steps).
(c) Check your answer. Is it reasonable? How do you know? Explain.
Pedro has $13.65 in his wallet left.
How to find money in Pedro's wallet?Pedro had $14.90 in his wallet.
He spent $1.25 on a drink.
How much does he have left: 14+90 - 1.25 = 13.65
Pedro has $13.65 in his wallet left.
The difference is $1.95.
Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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#SPJ2
estimate 127600 multipled by 0.93
Answer : 115,200
Step - by - step explanation :
sorry if this is wrong !
127,600 --> 128,000
0.93 --> 0.90
128,000 x 0.90 = 115,200
HELP ASAP! TYSM IF U DO, WILL GIVE BRAINILEST!
its d becuase i used math-way
Step-by-step explanation:
b
=
4
Answer:
Option DStep-by-step explanation:
Given equation:
b - 12 = - 8Add 12 to both sides:
b - 12 + 12 = - 8 + 12b = 4Correct graph is D, where point 4 is marked
Find the following:
sin A
cos A
tan A
cot A
sec A
csc A
Step-by-step explanation:
we use the law of sine :
sin(A)/a = sin(B)/b = sin(C)/c
with the related angles being opposite of the lines.
so, we have
sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =
= 0.316227766...
cos²(A) + sin²(A) = 1
cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =
= 0.948683298...
tan(A) = sin(A)/cos(A) = 0.333333333...
cot(A) = 1/tan(A) = 3
sec(A) = 1/cos(A) = 1.054092553...
csc(A) = 1/sin(A) = 3.16227766...
A cafeteria sells 30 drinks every 15 minutes. How many drinks can be sold in one hour?
Answer:30 drinks
Step-by-step explanation:
What are the center and radius of the circle?
Answer:
R = 4
Step-by-step explanation:
Beause when we say (-1,4)
It say the center of it
An athlete runs 1, miles in 7 minutes. At this rate, how long does it take the athlete to run 1 mile?
174
o minute
0.6 minutes
O 74 minutes
O 9 minutes
Answer:
My closest calculation is 74 minutes
Step-by-step explanation:
08 : 59.52
min : sec
Speed
0.1112 miles per minute
=
6.67 miles per hour
3 peaches cost $0.99. At this rate, how much will 5 peaches cost?
0.99 /3 = 0.33 per peach
0.33 per peach x 5 peaches = 1.65 total
Answer: $1.65
Answer:
1.65
Step-by-step explanation:
Please help
4³−4÷2x5
Answer:
its 54
Step-by-step explanation:
Answer:
the answer is 6
Step-by-step explanation:
4 to the 3 power is 64
64-4=60
2x5=10
60/10=6
Stacy is selling tickets to the school play. The tickets are $7 for adults and $4 for children she sells twice as many adult tickets as children’s tickets and brings in a total of $270. How many of each kind of ticket did she sell?
Stacy sold 15 children tickets and 30 adult tickets.
The tickets are $7 for adults and $4 for children.
She sells twice as many adult tickets as children tickets and bring in a total of $270.
Therefore,
let
number of children ticket sold = x
number of adult ticket sold = 2x
7(2x) + 4(x) = 270
14x + 4x = 270
18x = 270
x = 270 / 18
x = 15
The number of children ticket sold = 15
The number of adult ticket sold = 15 × 2 = 30
learn more about algebra here: https://brainly.com/question/14569336?referrer=searchResults
Two trucks, A and B, start from the intersection C of two straight roads at the same time. Truck A is traveling twice as fast as truck B, and after 4 hours, the two trucks are 350 miles apart. Find the approximate speed of truck B in miles per hour.
A. 39 B. 51 C. 44 D. 78
Answer:
6
Step-by-step explanation:
Please help me with this.
Answer:
a) 7 b) -5
Step-by-step explanation:
m=Y-y
X-x
a) (70-35)/(10-5)= 7
m= 7
b) (50--20)/(-10-4)= 70/-14 = -5
If sinA=1/7, sinB=1/3.
Prove: cos2A=sin4A
Answer:
Question!! What is the relationship between A and B?
Step-by-step explanation:
jorden claims that x^2+3=12 is exponential equation. is jorden correct
A contractor decides that he can build a house in eight weeks using 5 men. If he employs 3 more men, how long will the job take? Assume that all the men work at the same rate.
Write 0.4 as a fraction in simplest form. Please explain step by step to get marked as brainliest!
Answer:
2/5
Step-by-step explanation:
0.4 x 10/10
= 4/10 divide by 2
=2/5
Convert 70°F to Celsius using the following formula: °C = 5/9 (°F-32).
Round your ANSWER to the nearest degree.
Select one:
a. 126°C
b. 21°C
c. 158°C
d. 53°C
Answer:
21
Step-by-step explanation:
(use you calculator)
method of bidmas should be used
5/9 (70-32) substitute the F with 70
5/9 (38) calculate the brackets first
0.555 (38) next, calculate 5/9
0.555×38=21.09 or 21.1111... finally, multiply
hope this helps
movie theater charges $9 for adults and $7 for senior citizens. On a day when 325 people paid an admission, the total receipts were $2504. How many were seniors and how many were adults?
I will set it up.
Let a = adults
Let s = seniors
The first equation is a + s = 325.
The second equation is 9a + 7s = 2504.
Here is your system of equations:
{a + s = 325
{9a + 7s = 2504
Take it from here.
2m>30
what is the answer to this
Answer:
m>15
Step-by-step explanation:
Divide both sides by 2
Hello there! :-)
This is a one-step inequality, which means we can solve it in one step.
The goal is to find m.
To isolate m, we divide both sides by 2:
m>15
Remember to divide both sides by 2.
Therefore, m>15 (this means m is greater than 15)
Hope it helps. Use the comment section to clarify your doubts.
Answered by
~A felicitous teen who helps others :-)
Good luck with your studies. :)
16. Which of the following situations is represented by the graph?
A conversion of inches to yards
B conversion of feet to inches
c conversion of miles to feet
d conversion of yards to feet
HELP
Answer:
B. conversion of feet to inches
Step-by-step explanation:
there are 12 inches in one foot.
G is Geometric mean how?
Evaluate. Express your answer in scientific notation.
4.36 x 104 – 41, 600
Answer: 3.456 × 1011
Step-by-step explanation: