Answers
Answer:
it is D
Step-by-step explanation:
For knowing it, it is necessary to draw straight line above the triangle from the middle of the sides, forming a 90° degree angle. But as they are already drew, it is easier
Given ΔABC with points A, B and C on the circle, the circumcenter of the triangle is point D.
Circumcenter of a circle is the point where the perpendicular bisectors on the sides of the triangle, whose vertices touch the circumference of the circle, intersect.
Perpendicular bisector of a line segment is another line segment which makes an angle of 90 degrees with it and divide the line segment into two equal parts.
In the given figure, we have triangle ABC.
A, B and C vertices touch the circle.
We need to find the circumcenter of the circle.
The sides of the triangle ABC are AB, BC and AC.
The perpendicular bisectors of the sides AB, BC and AC are ED, GD and FD respectively. We can verify so from the figure.
The point where the three perpendicular bisectors meet is the point D, again from the figure, thus, clearly point D is the circumcenter of the triangle.
Learn more about circumcenter here
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Related Questions
Given that △ABC is an isosceles triangle with AB⎯⎯⎯⎯⎯≅AC⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯ bisecting ∠BAC, which of the following proves that ∠ABD≅∠ACD?
Answers
The isosceles triangle having an angle bisector [tex]\overline{AD}[/tex] forms two congruent triangles.
ΔBAD ≅ ΔCAD, therefore, ∠ABD ≅ ΔBAD, by CPCTCReasons:
The given parameters are;
ΔABC is an isosceles triangle.
[tex]\overline{AB}[/tex] ≅ [tex]\overline{AC}[/tex]
[tex]\overline{AD}[/tex] bisects ∠BAC
Therefore, the proof that ∠ABD ≅ ∠ACD is given as follows;
1. [tex]\overline{AB}[/tex] ≅ [tex]\mathbf{\overline{AC}}[/tex] (Given)
2. [tex]\overline{AD}[/tex] bisects ∠BAC (Given)
3. ∠BAD ≅ ∠CAD (Definition of angle bisector)
4. [tex]\overline{AD}[/tex] ≅ [tex]\mathbf{\overline{AD}}[/tex] (Reflexive property of congruency)
5. ΔBAD ≅ ΔCAD (Side Angle Side, SAS rule of congruency based on steps 1, 3 and 4)
6. ∠ABD ≅ ∠ACD (Congruent Parts of Congruent Triangle are Congruent, CPCTC)
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How many Joules must be added to 45.2 g of iron to raise its temperature from
12.5 °C to 76.8°C?
Answers
Answer:
297 J
Step-by-step explanation:
The key to this problem lies with aluminium's specific heat, which as you know tells you how much heat is needed in order to increase the temperature of
1 g
of a given substance by
1
∘
C
.
In your case, aluminium is said to have a specific heat of
0.90
J
g
∘
C
.
So, what does that tell you?
In order to increase the temperature of
1 g
of aluminium by
1
∘
C
, you need to provide it with
0.90 J
of heat.
But remember, this is how much you need to provide for every gram of aluminium in order to increase its temperature by
1
∘
C
. So if you wanted to increase the temperature of
10.0 g
of aluminium by
1
∘
C
, you'd have to provide it with
1 gram
0.90 J
+
1 gram
0.90 J
+
...
+
1 gram
0.90 J
10 times
=
10
×
0.90 J
However, you don't want to increase the temperature of the sample by
1
∘
C
, you want to increase it by
Δ
T
=
55
∘
C
−
22
∘
C
=
33
∘
C
This means that you're going to have to use that much heat for every degree Celsius you want the temperature to change. You can thus say that
1
∘
C
10
×
0.90 J
+
1
∘
C
10
×
0.90 J
+
...
+
1
∘
C
10
×
0.90 J
33 times
=
33
×
10
×
0.90 J
Therefore, the total amount of heat needed to increase the temperature of
10.0 g
of aluminium by
33
∘
C
will be
q
=
10.0
g
⋅
0.90
J
g
∘
C
⋅
33
∘
C
q
=
297 J
I'll leave the answer rounded to three sig figs, despite the fact that your values only justify two sig figs.
For future reference, this equation will come in handy
q
=
m
⋅
c
⋅
Δ
T
, where
q
- the amount of heat added / removed
m
- the mass of the substance
c
- the specific heat of the substance
Δ
T
- the change in temperature, defined as the difference between the final temperature and the initial temperature of the sample
The key to this problem lies with aluminium's specific heat, which as you know tells you how much heat is needed in order to increase the temperature of
1 g
of a given substance by
1
∘
C
.
In your case, aluminium is said to have a specific heat of
0.90
J
g
∘
C
.
So, what does that tell you?
In order to increase the temperature of
1 g
of aluminium by
1
∘
C
, you need to provide it with
0.90 J
of heat.
But remember, this is how much you need to provide for every gram of aluminium in order to increase its temperature by
1
∘
C
. So if you wanted to increase the temperature of
10.0 g
of aluminium by
1
∘
C
, you'd have to provide it with
1 gram
0.90 J
+
1 gram
0.90 J
+
...
+
1 gram
0.90 J
10 times
=
10
×
0.90 J
However, you don't want to increase the temperature of the sample by
1
∘
C
, you want to increase it by
Δ
T
=
55
∘
C
−
22
∘
C
=
33
∘
C
This means that you're going to have to use that much heat for every degree Celsius you want the temperature to change. You can thus say that
1
∘
C
10
×
0.90 J
+
1
∘
C
10
×
0.90 J
+
...
+
1
∘
C
10
×
0.90 J
33 times
=
33
×
10
×
0.90 J
Therefore, the total amount of heat needed to increase the temperature of
10.0 g
of aluminium by
33
∘
C
will be
q
=
10.0
g
⋅
0.90
J
g
∘
C
⋅
33
∘
C
q
=
297 J
I'll leave the answer rounded to three sig figs, despite the fact that your values only justify two sig figs.
For future reference, this equation will come in handy
q
=
m
⋅
c
⋅
Δ
T
, where
q
- the amount of heat added / removed
m
- the mass of the substance
c
- the specific heat of the substance
Δ
T
- the change in temperature, defined as the difference between the final temperature and the initial temperature of the sample
In your case, aluminium is said to have a specific heat of
0.90
J
g
∘
C
.
So, what does that tell you?
Solve this math problem. Correct answer gets brainliest.
Answers
Answer:
$28.50
Step-by-step explanation:
21 ÷ 14 = 1.5
19 · 1.5 = 28.50
Hope this helps!!
What is the value of i 20+1?
1
–1
–i
i
Answers
Answer:
2
Step-by-step explanation:
i^2 = -1
i^4 = 1
i^20 repeats the cycle 5 times, making i^20 = 1
Answer:
the answer is D) i
Step-by-step explanation: i got it wrong to the bozo who said 1 and it says the answer is i
Which ordered pair is the solution set
for 3x + 5y < 10?
Answers
Answer:
Slope is -3/5
Slope intercept form: y<-3/5x+2
Step-by-step explanation:
Your going to have a shaded region, with a dashed line
the y intercept will be (2)
the x intercept will be (3.333,0)
When trying to find the amount of interest you will pay if you borrow money, what three things
must you calculate? Think PRT.
O Partial amount, interest rate, time
O Principal, review, time
O Principal, interest rate, time
O Pay, rate, terms
Answers
Please help! I’m so confused.
Answers
Answer: M = 12.50
Step-by-step explanation:
100 students are interviewed to see which of biology chemistry or physics , they prefer 30 students are girls 16 of the girls like biology 9 of the boys prefer physics 2 out of the 34 who prefer physics are girls what percentage prefer biology
Answers
Well, it says that 34 kids like physics and since there is 100 students, we know 34% of the kids like physics. This means 66% like biology.
If a dozen exercise books cost $144, what will 14 of the same books cost? *
Answers
Answer:
$168
Step-by-step explanation:
1 dozen = 12
proportions
12 books ⇔ $144
14 books ⇔ $B
B = 144*14/12
B = $168
Somebody please help
Answers
m∠C = 31
m∠D = 83
M∠E = 66
Hope this is helpful!
1. A hot air balloon 4s anchored to the ground by a 152-foot long
rope. The balloon hovers 132 feet above the ground. Which
statement is true?
(a) The angle the rope makes with the ground is about 30"
(B) The angle the rope makes with the ground is about 67
(C) The horizontal distance between the anchor and balloon is about 201 feet.
(D) The horizontal distance between the anchor and the balloon is about 75
foot,
19
Answers
A simple diagram is all you need!!
David makes a pizza with 8 slices of equal size . He covers 5 of the 8 slices with pepperoni. What percentage of the pizza is covered with pepperoni
Answers
Answer:
5/8 * 100 = 62.5 %
A television set costs $4500 cash. When bought on hire-purchase, a deposit of $450 is
required, followed by 12 monthly payments of $400. How much is saved by paying cash?
Answers
Answer:
$750
Step-by-step explanation:
did the problem
Juan texts 20 messages in 5 minutes. At this rate how many text messages can he send in 30 minutes
Answers
The answer 120 MESSAGES
Messages/mins = 20/5=messages/30
Messages = (30x20)/5 = 120
Final answer : 120 messages
Simplify the expression: 4 + 5(2x - 3) - 6x *
16x + 19
-16x -11
4x -9
4x + 9
Answers
Step-by-step explanation:
4+5 (2x-3)-6x
9 (2x-3)-6x
18x-27-6x
12x-27
Answer:
[tex] \sf \: 4x - 11 [/tex]
Step-by-step explanation:
Given expression,
→ 4 + 5(2x - 3) - 6x
Let's simplify the expression,
→ 4 + 5(2x - 3) - 6x
→ 4 + 10x - 15 - 6x
→ (10x - 6x) + (4 - 15)
→ (4x) + (-11)
→ 4x - 11
Hence, the answer is 4x - 11.
Solve 5,964 ÷ 7 = ________. Use an area model to help you.
Answers
Answer:
The answer is 852 I think. Please tell me if this is correct.
Step-by-step explanation:
Jimmy takes a loan of 10,000$ at 12% per year as rate of interest . Find the amount, he will be required to pay after 1 year to settle the loan .
kindly stay out if u don't know the answer :)
spams , plagiarism = reported
Thanks for answering...
Answers
Answer:
1200 I THINK
Step-by-step explanation:
Answer :-
11200Step by step explanation :-
Here,
Principal = 10,000Time = 1 year rate = 12 %The intrest payable on 100$ for 1 year = 12 $
The interest payable on 10,000$ borrowed for 1 year
[tex]( \frac{12}{100} \times 10000)[/tex][tex]1200[/tex]so, at the eand of the year , he has to give an amount of $ ( 10,000 + 1200 )
11200 $If the polynomial
[tex] {x}^{19} + {x}^{17} + {x}^{13} + {x}^{11} + {x}^{7} + {x}^{5} + {x}^{3} [/tex]
is divided by (x² + 1), then the remainder is:
(a) 1
(b) x² + 4
(c) -x
(d) x
Please solve this for me. Spam free answer required. Thank you.
Answers
Answer:
(C) - xStep-by-step explanation:
Given polynomial:
x¹⁹ + x¹⁷ + x¹³ + x⁷ + x⁵ + x³Group as follows:
(x¹⁹ + x¹⁷) + (x¹³ + x¹¹) + (x⁷ + x⁵) + (x³ + x) - x = x¹⁷(x² + 1) + x¹¹(x² + 1) + x¹⁵(x² + 1) + x(x² + 1) - xAs we see all terms have (x² + 1) as factor apart from the last one.
It means the remainder is - x
Correct choice is C
please help!!!!!
Solve.
−4/9x+2.4=6
Enter your answer as a decimal or as a mixed number in simplest form in the box.
x =
Answers
-8.1
Step-by-step explanation:
[tex] \frac{ - 4}{9} x + 2.4 = 6[/tex]
Times all by 9 to get rid of fraction
[tex] - 4x + 21.6 = 54[/tex]
Take 21.6 away from both sides
[tex] - 4x = 32.4[/tex]
Divide by -4
[tex]x = - 8.1[/tex]
Answer: -8 1/10
Step-by-step explanation:
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar because the angle to the sun is the same. Choose two equations that can be used to find the height, h, of the tree.
Answers
The two equations that can be used to find the height are as follows
12 / 4 = h /5
5 / 4 = h / 12
We have given that,
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow.
What is the similar triangles?Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of a similar triangle are a ratio to each other.
The tree casts a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,
h / 12 = 5 / 4
Therefore, h / 12 = 5 / 4
cross multiply
4h = 60
divide both sides by 4
h = 60 / 4
h = 15 ft
Therefore, the two equations that can be used to find the height are as follows
12 / 4 = h /5
5 / 4 = h / 12
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Answer:
i am on ttm
Step-by-step explanation:
12/4=h/5
5/4=h/12
David made $80,950 last year. If his income is decreased by 7.25%, what is his adjusted
income, Ai? (show equation).
HELPP PLEASEEE
Answers
Answer:
75081
Step-by-step explanation: multiply 80950 by 0.9275
1234567891011121314151617181920
Answers
Answer:
What's this question? Oh my gosh!
From 93 books to 144 books
Answers
51 Books
I think this is what you're looking for?
Please and thank youuuuuu! :)
Answers
We know the slope intercept formula. Using the formula, we can find the slope.
Formula: y = mx + bGiven equation: y = 4x - 6m = Slopeb = y-interceptNow, let's compare both equations to find out what is the slope.
=> y = mx + by = 4x - 6
Conclusion:We can clearly see that m is replacing with 4. That basically means the slope is 4.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
A line with the slope of -4 passes through the point (8,-3). What is the equation in point slope form
Answers
The slope is given already so it will be :
Y=-4x+c
Now you can find C by replacing the given points
-3=-4(8)+c
C=9
Final answer is :
Y= -4x+9
what is s and what is t?
Answers
Answer:
Step-by-step explanation:
S = 2
T = -2
so in S - T = 4. 2 - -2 = 4
IN S + T = 2 S + - 2 = 2
How many planes appear in the figure?
Answers
Answer:
5
Step-by-step explanation:
Can someone please help me, i don't understand this work.
Answers
Answer: Check out the diagram below for the filled out table
Equation is y = 1.5x
Box for row one = 330
Box for row two = 1000
Box for row three = 1.5
===========================================================
Explanation
x = amount of fish in grams (horizontal axis)y = number of calories (vertical axis)The point (x,y) = (200,300) is on the blue diagonal line. It indicates that x = 200 grams of fish have y = 300 calories. Divide the two values to get the slope
slope = y/x = 300/200 = 1.5
This trick only works because the line is going through the origin. Otherwise, we'd have to use the slope formula.
The slope of 1.5 is the constant of proportionality. It tells us the equation is y = 1.5x. Whatever x is, multiply by 1.5 to get y.
So if x = 220, then y = 1.5x = 1.5*220 = 330
220 grams of fish have 330 calories. We'll write 330 in the box of the first row of the table.
-----------------
We can use this idea in reverse. If we know the calorie count (y), then we can divide by 1.5 to get the number of grams (x).
y = 1.5x
1500 = 1.5x
1.5x = 1500
x = 1500/(1.5)
x = 1000
Therefore, 1000 grams of fish have 1500 calories. We'll write 1000 in the box of the second row.
------------------
The third row of the table is going to follow the same steps as the first row.
y = 1.5x
y = 1.5*1
y = 1.5
One gram of fish produces 1.5 calories
The filled out table is shown below. I've merged the two screenshots you posted into one image, and filled out the boxes.
unit 5 relationships in triangles homework 1 triangle midsegments
Answers
Q10
∠1 = ∠5 = 180° - 144° = 36°∠2 = 56°∠3 = 180° - 56° = 124°∠4 = 144° - 56° = 88°∠5 = ∠1 = 36°Q11
∠1 = 35°∠2 = 180° - 35° = 145°∠3 = 90° - 35° = 55°∠4 = 180° - ∠5 = 180° - ∠3 = 180° - 55° = 125°∠5 = ∠3 = 55°Find the coordinates of the points D (4,-4) and E (5,-5) after the transformation (x,y) →
(x+ 3. y -5)
Answers
D = (7, -9)
E = (8, -10)
hope this helps!