Answer:
1. Arc angle
2. Angle at circumference
3. Base angle of an isosceles triangle
4. Sum interior of angles in a triangle
5. Sum interior of angles in a triangle
6. The sum of angles on a straight line
7. Sum interior of angles in a triangle
8. Sum interior of angles in a triangle
9. Angle from a tangent to the radius of a circle
10. Alternate angles of line crossing two parallel lines
Step-by-step explanation:
Here, we note that, the angles where derived as follows;
1. mBC = 90°, therefore, angle subtended by the arc BC at the center of the circle = 1 = 90°
2. 90° The angle at the center which is the straight line diameter with angle 180° = 2 × angle at the circumference
∴ The angle at the circumference, angle 2 = 180°/2 = 90°
3. Angle subtended by the sum of arcs CD + DE at the center = 50°, therefore, ∡EOC = 50° and ∡EOA = 180° - 50° = 130° (the sum of angles on a straight line), since ΔAOE is an isosceles triangle, therefore, ∡OAE = ∡OEA = (180° - 130°)/2 = 25°
4. ∡A + ∡E + ∡C = 180° (Sum interior of angles in a triangle)
∴ 25° + 90° + ∡C = 180°
Hence ∡C = 180° - (90° + 25°) = 65°
5. From arc CD = 30°, ∡COD = 30°, ∴ ∡OBD = 30° = base angle of isosceles triangle with sides equal to the radius
Hence ∡8 = 30° from ∡8 + ∡1 + ∡OBD = 180° which gives
∡8 + 90° + 30° = 180°, hence;
∡8 = 180° - (90° + 30°) = 60°
∡8 = opposite ∡8 = 60°
Opposite ∡8 + ∡C + ∡5 = 180° (Sum interior of angles in a triangle)
Therefore ∡5 = 180° - (opposite ∡8 + ∡C) = 180° - (60° + 65°) = 55°
6. Angles 6 plus angle 5 = 180° (The sum of angles on a straight line)
Therefore, ∡6 = 180° - ∡5 = 180° - 55° = 125°
7. ∡7 + opposite ∡5 + ∡E = 180° (Sum interior of angles in a triangle)
∡E + ∡2 = 180° (The sum of angles on a straight line)
∴ ∡E = 180° - ∡2 = 180° - 90° = 90°
Hence, ∡7 + opposite ∡5 + ∡E = 180° = ∡7 + 55° + 90° = 180°
∴ ∡7 = 35°
8. ∡8 = 60° as found above
9. ∡9 = 90° (Angle from a tangent to the radius of a circle)
10. ∡10 = ∡8 = 60° (Alternate angles).
What is mZA?
Enter your answer in the box.
(3a + 13)
В
(x-8)
o
Answer:
118
Step-by-step explanation:
The sum of the angles is 180 degrees
(3x + 13) + (x-8) +x = 180
Combine like terms
5x +5 = 180
Subtract 5 from each side
5x+5-5= 180-5
5x =175
Divide by 5
5x/5 = 175/5
x = 35
We want to find angle A
3x+13
3(35)+13
105+13
118
Hi! I really need help with this!
the volume of a cuboid is 10.4cm^3, calculate its base area given that its height is 1.2cm.
Thanks !!!!!!
Answer:
Step-by-step explanation:
Volume of cuboid = 10.4 cm³
area of base * height = 10.4
area of base * 1.2 = 10.4
[tex]area of base = \frac{10.4}{1.2}\\[/tex]
area of base = 8.67 cm²
Answer:
Step-by-step explanation:
Graph y=2cos(1/2x)-1
Answer:
.
Step-by-step explanation:
What is the sum
3/4+5/16
A)
14
16
B)
17
16
C)
53
16
D)
7
16
those are fractions btw
Answer:
17/16 or 1 1/16
Step-by-step explanation:
3/4 + 5/16
Get a common denominator of 16
3/4 *4/4 + 5/16
12/16+5/16
17/16
16/16 + 1/ 16
1 1/16
box plot i dont understand any thing about it
Answer:
Just put the numbers in order then the interquartile range would be the largest number from the high quartile and the lowest number from the lower quartile.
Justin played a game with 24 floating plastic ducks each with a colored sticker on the bottom. There are an equal number of red blue and green stickers on the set of ducks. What is the probability that one duck chosen at random will have a red or blue sticker
Answer:
Because there are 24 ducks total and they are separated equally into three categories, we can figure out that there are 24 / 3 = 8 ducks of each color. This makes the probability of pulling a red/blue duck would be (8*2)/24 or 16/24. If we want this to be a percentage we can just solve 16/24*100 and it will give us 66.66...%
Which of the following equations is never true?
A. a^2 = -25
B. x^2 = 16
C. y + 4 = 10
D. 2x = 7
Answer: A. a² = -25
Step-by-step explanation:
The square of a number can never be negative and as such a² ≠ - 25.
Proof of this is that the √-25 = 5i (aka an imaginary number).
A blueberry bush was 13 inches tall. One year later, the bush was 25 inches tall.
Which number sentence shows how many inches the bush grew in one year?
Answer:
12 inches
Step-by-step explanation:
25-13=12
(How much it grew in the last year.)
The radius of a circle is 10 m. Which choice is best represents the area of the circle?
314 square meters
78.5 square meters
1256 square meters
62.8 square meters
Answer:
314 is your answer
Step-by-step explanation:
the area is A=[tex]\pi[/tex]r^2
Please Answer Quick i'm in a rush please ill give brainliest!!!!!!!
The map shows the location of the houses of Dan, Joe, Lee, and Roy:
Coordinate grid shown from negative 5 to positive 5 on x-axis and negative 5 to positive 5 on y-axis. A point labeled Dan is shown on ordered pair 1, 4. A point labeled Joe is shown on ordered pair negative 3, 4. A point labeled Lee is shown on ordered pair negative 3, negative 4. A point labeled Roy is shown on ordered pair 2, negative 3.
The coordinates of the community center are (5, −1). Who has a house in the same quadrant as the community center?
Dan
Joe
Lee
Roy
Answer:
roy
Step-by-step explanation:
the y coordinate has the negative number like the community center's y.
Answer:
The answer is Lee :)
Step-by-step explanation:
both of the numbers are negatives so they both belong in 3rd quadrant
I need help need this done by tonight!
Answer:
A corresponds
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
If you notice in the equation there is a + sign. if there is a plus sign that means the line is going up. and since graph a's arrow is pointing up (or to the right side) your answer willl be grph a
Wanda did 12 push-ups on Saturday, 24 push-ups on Sunday, 48 push-ups on Monday, and
96 push-ups on Tuesday. What kind of sequence is this?
Answer:
2x
Step-by-step explanation:
Each number is mutiplied by 2
Answer: it doubles
Step-by-step explanation: 12+12= 24, 24+24= 48, 48+48=96
Need help on this, if it’s right I’ll make it brainliest
Answer:
(0,2)/(4,5)
Step-by-step explanation:
Im Pretty Sure That's Correct.
In an orchard, there are 15 apple trees, 30 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
45:1
15.14
1:15
15:1
A medical company tested a new drug for possible side effects. The table
shows the relative frequency that a study participant experienced the side
effect.
Side effect
0.21
No side effect
0.29
Adults
Children
0.06
0.44
Do these data suggest an association between age and experiencing side
effects?
A. No. A greater percentage of both adults and children had no side
effects.
B. No. Adults were as likely to experience side effects as children.
C. Yes. A greater percentage of adults experienced side effects than
children
D. Yes. A greater percentage of children experienced side effects
than adults.
The relative frequency that a study participant experienced the side
effect, No. A greater percentage of both adults and children had no side effects.
While they don't give nearly enough information on sampling size to be credible data or how many kids vs how many adults,
What is the relative frequency?A relative frequency distribution is a type of frequency distribution. The first image here is a frequency distribution table.
The simplistic answer is (A) a greater percentage of kids experienced side effects among their peers than the adults among their peers.
Therefore, No. A greater percentage of both adults and children had no side effects is the correct option.
To learn more about the frequency visit:
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Answer:
No. A greater percentage of both adults and children had no side effects is the correct option.
Helppp math genius helppppppp I'll mark you the brainlest
Answer:
21
Step-by-step explanation:
because it is only part of the bottom one so it should be 21 sorry if it wrong
Cos(angle) = adjacent leg/ hypotenuse
Cos(30) = x/24
X = cos(30) x 24
X = 20.78
X = 21
Which of the points (s, t) is inside the shaded region of the set of inequalities shown below?
s<24 - 0.66t
s>12 - t
s< 30 - t
s>0
t>0
O A. (1,8)
O B. (-9,21)
O C. (9,4)
O D. (30, 10)
Answer:
Only point C. (9,4)
Step-by-step explanation:
To check if the points are inside the region of the inequalities, we just need to use the values of the point in each inequation, and if the point satisfy all inequations, the point is inside the region.
point A = (1,8): s = 1 and t = 8
first inequation: s<24 - 0.66t
1 < 24 - 0.66*8
1 < 18.72 (true)
second inequation: s>12 - t
1 > 12 - 8
1 > 4 (false)
So point A is not inside the region.
point B = (-9,21): s = -9 and t = 21
As we can see from the fourth inequation, the s value needs to be greater than 0, and point B has s negative, so point B is not inside the region.
point C = (9,4): s = 9 and t = 4
first inequation: s<24 - 0.66t
9 < 24 - 0.66*4
9 < 21.36 (true)
second inequation: s>12 - t
9 > 12 - 4
9 > 8 (true)
third inequation: s< 30 - t
9 < 30 - 4
9 < 26 (true)
fourth inequation: s>0
9 > 0 (true)
fifth inequation: t>0
4 > 0 (true)
As all conditions are true, point C is inside the region.
point D = (30,10): s = 30 and t = 10
first inequation: s<24 - 0.66t
30 < 24 - 0.66*10
30 < 17.4 (false)
So point D is not inside the region.
Answer:9,4
Step-by-step explanation:
Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.
Answer:
r=3 ft
Step-by-step explanation:
it is similarity of two triangles
one
perpendicular side=10 ft
base=10/2=5 ft
second
perpendicular side=10-4=6 ft
Base r=?
[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]
Helppppppppppppppppppppppppppppp
Answer:
30 degress
Step-by-step explanation:
Jeremy had 5 Roosevelt dimes, 3 Kennedy half dollars, and 8 silver dollars in his coin collection worth a total of $231.
D=collector value of a dime
H=collector value of a half dollar
S=collector value of a silver dollar
Write a linear equation showing the number of each coin
A) 0.50d+1.50h+8s=231
B) 5d+3h+8s=231
C) d+h+8s=231
D) 0.10d+0.50h+1s=231
PLS HELP! I’ll give brainliest
The amount in equation is 5d + 3h + 8s = 231.
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given:
Jeremy had 5 Roosevelt dimes,
3 Kennedy half dollars,
and 8 silver dollars in his coin.
Total amount = $231
As, let d be the collector value of a dime
let h be the collector value of a half dollar
let s be the collector value of a silver dollar
Now, to represent the amount in equation
5d + 3h + 8s = 231
Learn more about equation here:
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Can someone help me find the evaluation for #20 I need to show my work
does the equation (X+2)squared +3 have a vertex of (2,3)
Write a four-sentence paragraph in which events are described in sequence.
Answer:
First, the girl walked to the tree. Next, she placed a towel underneath the tree. The, she sat down and took out her book. Finally, the girl took out her food and ate it while reading.
Step-by-step explanation:
It's simple, but it's in a sequence. I dont know if this was related to a passage, if so, could i see it?
find the output y, when the input x, is 30.
Answer:-1
Step-by-step explanation:
answer with work pls !!
I need to know the following written in slope-intercept form please:
3x+y-7=2
3x+4y=24
x-y=5
Answer:
1) y = -3x + 9
2) y = -3/4x + 6
3) y = x - 5
Step-by-step explanation:
1) 3x + y - 7 = 2
+7 +7
3x + y = 9
-3x -3x
y = -3x + 9
2) 3x + 4y = 24
-3x -3x
4y = -3x + 24
4 4 4
y = -3/4x + 6
3) x - y = 5
-x -x
-y = -x + 5
-1 -1 -1
y = x - 5
hello again,
I have another question
if Ellen drives to Kendal to Hereford via Chester. how many miles does she drive?
Answer:
301 99 add the 201 u get 301
The price of a gallon of milk, in dollars, is measured in the
Answer:ones
Step-by-step explanation:
5/6 = 9/c What value of c makes the ratios equal?
Answer:
B. c = 10.8
Step-by-step explanation:
[tex] \frac{5}{6} = \frac{9}{c} \\ \\ c = \frac{9 \times 6}{5} \\ \\ c = \frac{54}{5} \\ \\ \huge \red{ \boxed{c = 10.8}}[/tex]
Which fraction is equivalent to 15/30
A 3/4
B 2/4
C 3/5
D 5/6
Answer:
2/4
Step-by-step explanation:
