A circle is centered on point B. Points A, C and D lie on its circumference.
If ZABC measures 40°, what does ZADC measure?
Answers
Given:
A circle is centered on point B.
Points A, C and D lie on its circumference.
If [tex]m\angle ABC[/tex] measures 40°.
To find:
The [tex]m\angle ADC[/tex].
Solution:
Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.
In the given figure [tex]\angle ABC[/tex] is the central angle and [tex]m\angle ADC[/tex] is the inscribed angle on the same arc AC.
Using central angle theorem, we get
[tex]m\angle ABC=2m\angle ADC[/tex]
[tex]40^\circ=2m\angle ADC[/tex]
[tex]\dfrac{40^\circ}{2}=m\angle ADC[/tex]
[tex]20^\circ=m\angle ADC[/tex]
Therefore, the measure of angle ADC is 20°.
Related Questions
The difference between a snert and a snart is six. The sum of twice a snert and a snart is eighteen. How large is a snert and how large is a snart?
Answers
Answer:
The measure of a snart is 2 and that of a snert is 8.
Step-by-step explanation:
Represent the size of a snert by e and that of a snart by a.
Then e - a = 6. This assumes that e > a.
2e + a = 18. Substitute e - 6 for a, obtaining:
2e + (e - 6) = 18.
Simplifying, we get
2e + e - 6 = 18, or
3e = 24, and so
e = 8
Remembering that e - a = 6, we have 8 - a = 6. Then a must be 2.
The measure of a snart is 2 and that of a snert is 8.
simplify
(4/9) to the power of 2
Answers
7 + 3 (2x - 5) = 3x + 7
Answers
Answer:
x = 5
Step-by-step explanation:
Given
7 + 3(2x - 5) = 3x + 7 ← distribute parenthesis and simplify left side
7 + 6x - 15 = 3x + 7
6x - 8 = 3x + 7 ( subtract 3x from both sides )
3x - 8 = 7 ( add 8 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Help! I will give brainiest!
Answers
Answer:
2x-5
Step-by-step explanation:
Julie pays $30 a month for her phone plus $2 for each
song she downloads. Which graph shows Jule's phone
bill based on the number of x songs she downloads?
B.
45
45
40
60
Phone Bill (dollars)
Phone Bill (dollars)
20
15
10
10
1 2 3 4 5 6 7 8 9 10
Songs Downloaded
23
6700
Songs Downloaded
C.
D
XXS
Phone Bill (dollars)
Phone Bill (dollars)
123
7910
Songs Downloaded
1 2 4 5
Songs Downloaded
Answers
Answer:
A
Step-by-step explanation:
You can look at the graph and infer that the line passes through 32 34 36 and so on
or
you can substitute y for the bill and x for the number of songs to see which graph is correct
y = 30 + 2x
For A, the line goes through 32 34 36 38 40 42 44 46 and 48
You can plug in 32 for y and 1 for x and so on
32 = 30 + 2*1 = 30 + 2
34 = 30 + 2*2 = 30 + 4
36 = 30 + 2*3 = 30 + 6
38 = 30 + 2* = 30 + 8
and so on
I just wanna make sure i’m doing this right
Answers
Answer:
175%
Step-by-step explanation:
The first one is a whole=1
the second one is cut in four but only 3 are shaded so 1/4=0.25 0.25*3=0.75
3/4/0.75 is shaded
so 1+0.75=1.75
1.75=175%
Jasper's Pizzeria made 10 pizzas. 2 of the pizzas had pepperoni. What is the ratio of the number of pizzas without pepperoni to the number of pizzas with pepperoni?
Answers
Find the area of the figure
Answers
4.40+6=46 m^2
NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:
Answers
Answer:
the answer for this question is C
Step-by-step explanation:
base radius = 0.8
Height = 3.5
Volume of a cone =
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
V=1/3 x 3.14 x 0.8^2 x 3.5
V=2.3445 in^3
V= 2.34 in^3
5x-4<4(1+x) what is the answer and how do you do it
Answers
Answer:
[tex]5x - 4 = 4 + 4x \\ 5x - 4x = 4 + 4 \\ x = 8[/tex]
Answer:
x<8
Step-by-step explanation:
5x-4<4(1+x)
= 5x-4<4+4x
= 5x-4-4x<4
=5x-4x<4+4
= x<4+4
= x < 8
first distribute the 4 into the parenthesis on the right side of the expression. next collect like terms, so move the x's to the left side and the two fours to the other side. simplify both sides to find the answer.
i hope this helps :)
a car can travel 70 miles on 5 gallons of gasoline. how much gasoline will it need to go 308 miles
Answers
Answer:
22
Step-by-step explanation:
308/70 = 4.4
4.4 * 5
What is the image point of (-6, 5) after a translation right 2 units and down 4 units?
Answers
Answer: (8, 9)
Step-by-step explanation:
Answer:
(-4, 1)
Step-by-step explanation:
100000000 x 66 pls i need help
Answers
Answer:
6,600,000,000
Step-by-step explanation:
six billion 6 hundred million
Please help me answer
Answers
Answer:
C
explanation:
x = 4/3πr³
cross multiply
3x = 4πr³
cube root both side
³√3x = ³√4πr³
³√3x = ³√4π x r
divide both side by ³√4π
r = ³√3x/4π
Shelia buys 33kg of rice, 9kg of cornmeal, and a certain amount of flour at the supermarket. The amount of flour bought is a third of the amount of rice bought. How much flour was bought?
Answers
Answer: 11 kg
Step-by-step explanation:
Given
Shelia buys 33 kg of rice and 9 kg of cornmeal
The amount of flour bought is one-third of the amount of rice bought
The amount of flour is
[tex]\Rightarrow \dfrac{33}{3}=11\ kg[/tex]
find the missing side
PLEASE HELP!!!!
Answers
25+16=c^2
41=c^2
Sqrt41= 6.4
6.4 final answer
Prove that MNQ is congruent to PNQ (URGENT) help with all blanks
Answers
Answer:
In triangle QNP and QNM
3.QN=QN[common side]
so triangle QNP and QNM is CONGRUENT by A.A .S axiom.
Answer:
1. (its already filled out)
2. angle MQN = angle PQN
3. NQ=NQ
4. angle side angle
Step-by-step explanation:
checked on khan academy :)
Help!
A 12-foot ladder leans against a building and makes an angle of 65 degrees with the ground. To the nearest foot, how far from the building is the base of the ladder?
Answers
Answer:
The foot of the ladder is 10 feet away from the base of the wall.
Step-by-step explanation:
Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder
h = 20 is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.
The foot of the ladder is 10 feet away from the base of the wall. [Ans]
answer: The foot of the ladder is 10 feet away from the base of the wall.
The foot of the ladder is 10 feet away from the base of the wall.
explanation:
Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder
h = 20 is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.
Find a third-degree polynomial equation with rational coefficients that has roots 4 and 6 + i.
a. x^3 - 8x^2 - 11x + 148 = 0
b. x^3 - 8x^2 - 12x + 37 = 0
c. x^3 - 12x^2 + 37x = 0
d. x^3 - 8x^2 - 11x = 0
Answers
Answer:
I would say A.
Step-by-step explanation:
Math Math help help help ASAP please
Answers
Answer:
a.) 10,000
b.) 512
Step-by-step explanation:
(8x2+8x)−(−9x2+8x)
I NEED STEP BY STEP don't just use a calculator.
Answers
Answer:
34
Step-by-step explanation:
(16+8x)-(-18+8x)
16-(-18)
34
Answer:
17x^2
Step-by-step explanation:
(8x^2+8x)- ( 9x^2+8x)
8x^2+8x + 9x^2-8x
17x^2
Solve for x transversal
Answers
Answer:
X=20
Step-by-step explanation:
3x=2x+20
X=20
A rectangular pitcher is 3 inches wide, 9 inches long and 16 inches tall. If water is filled up to 5 inches, how much more water can be put in ther pitcher
Answers
Answer:
427
Step-by-step explanation:
Find volume
Subtract 5 inches
What is the volume of the cylinder?
Answers
Formula: pi * r^2 * h
r = 2, h = 20
pi * 2^2 * 20
pi * 4 * 20 = 20pi
Solution: A
Find the value of x.
Answers
9514 1404 393
Answer:
x = 20
Step-by-step explanation:
The external angle at V is half the difference of the subtended arcs:
(65° -25°)/2 = x° = 40°/2
x = 20
How do I solve this?
Answers
Answer:
A,
Step-by-step explanation:
Opposites sides are equal in a rectangle.
Answer:
The answer is: "It has to be a rectangle. I measured the diagonals to be sure they were the same length."
Step-by-step explanation:
The other properties are true of a rectangle as well, but they could also be other shapes.
"It has to be a rectangle. The opposite sides are the same length."
This could also be describing a rhombus or square.
"It has to be a rectangle because it is not a square."
This could also be a rhombus, trapezoid, or even kite.
"It has to be a rectangle. I made sure that the two 8-foot boards are parallel and that the two 6-foot boards are parallel."
This can describe any parallelogram. Just because the sides are congruent and parallel does not mean that there are four 90degree angles formed.
"It has to be a rectangle. I measured the diagonals to be sure they were the same length."
This is a property of rectangle diagonals. They will always be congruent.
Hi guys! I really need help with this because im so stressed with my other classes and i need to pass this class in order to graduate. can someone help
Answers
Answer:
30
Step-by-step explanation:
For a right triangle there is a formula ---> a² + b² = c² ("c" is always the side not touching the right angle)
24² + 18² = c²
576 + 324 = c²
900 = c²
30 = c
The 3rd side is 30
Don’t click the links guys.
Answers
Answer:
Someone is bound to copy paste the links lol
Step-by-step explanation:
The quadratic below is in standard form using the equation y=5x^2 + 3x + 6 what is the b -value
a. 6
b. 5
c. 3
d. 1
Answers
Answer: 6
Step-by-step explanation:
Answer:
c) 3
Step-by-step explanation:
8. The speed of a
delivery truck
varies inversely
with the time it
takes to reach its
destination. If the
truck takes 3 hours
to reach its
destination
traveling at a
constant speed of
50 miles per hour,
how long will it
take to reach the
same location
when it travels at a
constant speed of
60 miles per hour?
2 hours
2 1/3 hours
2.5 hours
2 2/3 hours
Answers
Answer:
2.5 hours
Step-by-step explanation:
If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)
150 miles at 60 mph is 2.5 hours (150/60)