Answers
Given:
The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].
To find:
The measure of arc AD.
Solution:
We know that the inscribed angles on the same arc are congruent and their measures are equal.
[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,
[tex]m\angle ABD=m\angle ACD[/tex]
[tex]11x-3=8x+15[/tex]
[tex]11x-8x=3+15[/tex]
[tex]3x=18[/tex]
[tex]x=6[/tex]
Now,
[tex]m\angle ABD=(11x-3)^\circ[/tex]
[tex]m\angle ABD=(11(6)-3)^\circ[/tex]
[tex]m\angle ABD=(66-3)^\circ[/tex]
[tex]m\angle ABD=63^\circ[/tex]
We know that the intercepted arc is always twice of the inscribed angle.
[tex]m(Arc(AD))=2\times m\angle ABD[/tex]
[tex]m(Arc(AD))=2\times 63^\circ[/tex]
[tex]m(Arc(AD))=126^\circ[/tex]
Therefore, the measure of arc AD is 126 degrees.
Related Questions
Tapanga drew triangle XYZ on her paper the measure of angle X was 80 degrees angle y was congruent to angle Z what was measure of angle Z
Answers
Answer:
50degrees
Step-by-step explanation:
The sum of angle in the triangle XYZ is 180degrees, hence;
<X + <Y + <Z = 180
Given
m<X = 80degree
m<Y = m<Z
Required
m<Z
Substitute the given angle
80 + m<Z + m<Z = 180
80 + 2m<Z = 180
2m<Z = 180 - 80
2m<Z = 100
m<Z = 100/2
m<Z = 50degrees
Hence the measure of angle Z is 50degrees
Calculate the curved surface area of a cylindrical container 10cm diameter, length 18cm take the value of pie to 3.14
Answers
Answer:
56.52 cm^2
Step-by-step explanation:
curved surface area = 2πrh
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
10 / 2 = 5
2 x 3.14 x5 x 18 = 56.52 cm^2
How do you know if something is congruent? (scale Factors)
Answers
example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.
Answer:
Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.
Step-by-step explanation:
pleasee help, thank you so much
Answers
Answer:
-2
Step-by-step explanation:
Use the slope formula when given two points
Slope formula = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
( the x and y values are determined by the given points )
Given the points ( 0 , 5 ) and ( 1 , 3 )
Plug in the x and y values of the given points into the formula
( remember y values on top x values on bottom )
[tex]slope=\frac{5-3}{0-1} \\5-3=2\\0-1=-1\\slope=\frac{2}{-1} =-2[/tex]
Hence, the answer is D
What would be the perimeter??
Answers
Answer:
19.2
Step-by-step explanation:
4.8 x-4 = 19.2 meters
Answer:
19.2
Step-by-step explanation:
4.8 x 4
Cindy feeds her dog 1/3 pound of food each day after 6 day,how many pounds of food has she given to her dog?
Answers
Answer: 2 pounds
Step-by-step explanation: if each day the dog gets 1/3 pounds, then after two days the dog would get 2/3 pounds. 3 days would be 1 pound, so after 6 days that would be 2 pounds.
Help needed for some geometry
Answers
Answer:
hope this help you. look it once.
A sphere has a surface area of 196 pi. What is the radius of the sphere?
r = 7
r = 14
r = 65.33
r = 12.12
Answers
Malik is solving the equation x2 – 10x – 11 = 0 using the complete the square method. Here is Malik's work: Line 1 p^2 -10p-11=0 Line 2 p^2 -10p+25=11+25 Line 3 (p-5)^2 =36 Line 4 p-5=36 or p-5=-36 Line 5 p=41 p=-31 Line 6 the solution is p=41 or p=-31 Malik checks his answer and realizes he has made a mistake. On which line did Malik make his mistake? Explain Malik's mistake using the complete the square method in 1-3 complete sentences.
Answers
Completing the square method rearranges the equation to have the
square of linear equation and constant on both sides of the equation.
Responses:
The mistake is made in line 4The mistake is in not taking the square root of both sidesWhich is the correct completing the square method?The given equation is; x² - 10·x - 11 = 0
Line 1: p² - 10·p - 11 = 0
Which gives;
p² - 10·p = 11
Adding 25 to both sides gives;
Line 2: p² - 10·p + 25 = 11 + 25
11 + 25 = 36
Factorizing p² - 10·p + 25 = (p - 5)·(p - 5) = (p - 5)²
Line 3: (p - 5)² = 36
Which gives;
p - 5 = ±√36
Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)
Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1
Line 6: p = 11 or p = -1
The line Malik made a mistake is on line 4The mistake made is that in line 4, the root of both sides of the equation, rather than only the left side of the equation is to be taken.The constant on the left and side is then subtracted from the positive
and negative value of the square root of the right hand side to give two
results.
Learn more about completing the square here:
https://brainly.com/question/3939104
the area of a square is 144 square centimeters. What is the length of one side of the square? pls help its on khan
Answers
12cm
have an amazing day <3
given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only
Answers
Answer:
[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0
Step-by-step explanation:
Based on 2x - 9y - 12 = 0
-9y = 12 - 2x
9y = -12 + 2x
y = [tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]
Therefore...
5x - 4y + 7 = 0
5x - 4([tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]) + 7 = 0
5x + [tex]5\frac{1}{3}[/tex] - [tex]\frac{8}{9} x[/tex] + 7 = 0
[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0
A square photo has a side length of 0.17 foot. The photo is enlarged by doubling the dimensions. Then it is enlarged again by tripling the new dimensions.
Answers
Calculate the side length of the enlarged picture
Answer:
Hence, final picture will have a side length of 1.02 foot
Step-by-step explanation:
Side length of square photo, s = 0.17
Original dimension = (0.17 by 0.17)
Enlarged photo = double the original dimension:
2 * (0.17 * 0.17)
(0.34 * 0.34)
Second enlargement = Tripling the new dimension:
3 * (0.34 * 0.34)
(1.02 * 1.02)
Hence, final enlarged dimension = (1.02 * 1.02)
Hence, final picture will have a side length of 1.02 foot
I need help asap !!!!
Answers
Answer:
C
Step-by-step explanation:
Pythagorean theorem = a² + b² = c²
Answer:
C.
Step-by-step explanation:
Pythagrean Theorem is on C
Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?
A. doubling the number and then decreasing the result by 25%
B. increasing the number by 50%
C. multiplying the number by 1.25
D. multiplying the number by 2.5
Answers
Answer: multiplying the number by 2.5
Your answer
Step-by-step explanation:
Jay took a number n and increased it by 25%. This will be:
= n + (25% × n)
= n + (0.25 × n)
= n + 0.25n
= 1.25n
Then, he doubled the resulting product. This will now be:
= 2 × 1.25n
= 2.50n
Therefore, the equivalent will be option D "multiplying the number by 2.5".
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
see explanation
Step-by-step explanation:
j - 4 ≤ 0 ( add 4 to both sides )
j ≤ 4
The graph has a closed circle at 4 on the number line with the arrow pointing left
Please help. I will give brainliest.
Answers
Answer:
e
Step-by-step explanation:
Dont answer this question if you dont know the answer
Answers
Answer:
C
Step-by-step explanation:
sin = 5/13
cos = 12/13
tan = 5/12
Miyoko bought 3 packages of tape that each had 1 yard 2 feet of tape in them how many inches of tape did miyoko buy?
Answers
Answer: 180 inch
Step-by-step explanation:
Given
Miyoko bought 3 packages of tape
Each tape has 1 yard and 2 feet of tape
[tex]1\ \text{yard}=3\ \text{foot}[/tex]
[tex]1\ \text{ft}=12\ \text{inch}[/tex]
converting yard to feet
[tex]\Rightarrow 3+2=5\ ft[/tex]
Convert feet to the inch
[tex]\Rightarrow 5\times 12=60\ \text{inch}[/tex]
For 3 tapes, it is
[tex]\Rightarrow 60\times 3=180\ \text{inch}[/tex]
Thus, the total tape is [tex]180\ \text{inch}[/tex]
suppose 70% of the 500 orders at a fast food restaurant include a drink what is the percentage as a part to whole ratio as well as a part to part ratio simplify each ratio
Answers
Answer:
140
Step-by-step explanation:
If a1=10 and an An-1 + 4 then find the value of
05.
Answers
Answer:
26
Step-by-step explanation:
Just put n = 5 and substitute
Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26
what is the problem??
Answers
Answer:
there is none
Step-by-step explanation:
Someone help me please-
Answers
Answer:
Rectangle 11.59 sqft
Rectangle 36 sqft
Polygon 47.59 sqft
Step-by-step explanation:
can someone help me asap
Answers
Answer:
a) hundreds
b) tens
c) hundreds
d) hundreds
Answer:
This is easy!!
Step-by-step explanation:
1. hundreds
2. tens
3. hundreds
4. hundreds
Hope this Helps!!
A grocery store sells a bag of 5 oranges for $3.10. If Ishaque spent $2.48 on oranges, how many did he buy?
Answers
A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?
Answers
Answer:
6 cm
Step-by-step explanation:
Volume of a Prism = base area x height =
Base area = length x width = 12 x 2 = 24 cm^2
Volume = 24 x 3 = 72 cm^3
Volume of a pyramid = 1/3( l x w x h)
72 = 1/3( 6x6 x h)
Multiply both sides of the equation by 3
216 = 36 x h
divide both sides by 36
h = 6
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand.
Answers
Answer:
First one i think is C and the second one is A it was easy
Step-by-step explanation:
Solve the inequality 4x -5 greater than or equal to 7
Answers
to 3.
Explanation: Add 5 on both sides and then after divide 4 on both sides. The sign stays the same.
answer this question for 30 points and brainilest
Answers
Answer:
Volume of left side cylinder will be less than the volume of right side cylinder.
Step-by-step explanation:
Volume of a cylinder is given by the formula,
Volume = πr²h
Here, r = radius of the circular base
h = Height of the cylinder
Volume of the left hand cylinder = π(b)²a
Volume of the right hand cylinder = π(a)²b
It's given in the question that a > b
Let the value of a = 3 and b = 2
Then the volume of left hand cylinder = π(2)²(3)
= 12π
Similarly, volume of right hand cylinder = π(3)²(2)
= 18π
Therefore, volume of left side cylinder will be less than the volume of right side cylinder.
A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W
Answers
Answer:
Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]
Step-by-step explanation:
Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].
To find: amount of money each student paid in terms of [tex]W[/tex]
Solution:
Cost of each present [tex]=\$W[/tex]
Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]
Cost of a card [tex]=\$200[/tex]
Therefore,
Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card
[tex]=\$3W+\$200[/tex]
Simplify:............
Answers
[tex] - \frac{4 {m}^{2} }{1 + {m}^{4} + {m}^{8} } [/tex]
is your answer
Answer:
jshdgdhdhdhdhdhdhd English project work
