Given:
In a circle, two chords GE and JF intersect each other inside the circle at D.
Measure of arc EF = 90 degrees.
Measure of arc JG = 70 degrees.
To find:
The measure of angle EDF.
Solution:
Intersecting chords theorem: According to this theorem, if two chords intersect each other inside the circle then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using Intersecting chords theorem, we get
[tex]m\angle EDF =\dfrac{1}{2}(arcEF+arcJG)[/tex]
[tex]m\angle EDF =\dfrac{1}{2}(90^\circ +70^\circ )[/tex]
[tex]m\angle EDF =\dfrac{1}{2}(160^\circ )[/tex]
[tex]m\angle EDF =80^\circ[/tex]
Therefore, the measure of angle EDF is 80 degrees.
Can anyone help me find the equivalent expression for this problem, please.
A group of students are standing in rows. There are as many students in a row as there are rows. If there are 64 students in the group, how many students are standing in each row?
А. 4
B. 6
C. 8
D. 12
Answer:
c 8
Step-by-step explanation:
a^2 = 64 a=8
Determine the value of x in the diagram.
Answer:
80
Step-by-step explanation:
HELP ME ASAP NO FILES OR WILL REPORT!!!
And help me BEFORE 3PM PLEASEEEE
Answer:
1) 18a^11
2) 7b^5
3) 16c^12
4) 3/2d^2
Step-by-step explanation:
i hope this helped
PLZ HELP!!!! I will name brainliest
Answer:
It is too blurry sorry if you or the other people are going to get mad at me
HELP PLEASE BESITE
Solve. 3x + 4 = 25
a) x = 9.7
b) x = 63
c) x = 7
d) x = 8
Answer:
C) x = 7Step-by-step explanation:
1. Equation
3x + 4 = 25
2. Subtract 4 from both sides
3x + 4 = 25
- 4 - 4
3. Solve
3x = 21
4. Divide both sides by 3
3x = 21
/3 /3
5. Solve
x = 7
The answer is x=7.PLZ HELP 3 pionts
(05.03 MC) Ivy has borrowed 150 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:
A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 210 at increments of 30. A straight line joins the ordered pairs 0, 150 and 1, 120 and 2, 90 and 3, 60 and 4, 30 and 5, 0.
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points)
Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)
Answer:
See below.
Step-by-step explanation:
A) The rate of change would be dividing the number of songs wanted (150) by the number of weeks downloading (5).
150/5 = 30
As the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -30.
The initial value is 150, which is the total number of songs she wants.
B)
We’ll use A(0, 150), and B(1, 120)
calculate the slope:
m = (y2- y1)/(x2 - x1) = (120 - 150)/(1 - 0)
(in other words: delta y / delta x)
m = -30
Finally, use the line equation in form point-slope:
y - y1 = m(x - x1)
y - 150 = -30(x - 0)
y = -30x + 150
Rectangle EFGH is translated according to the rule T–5, 9(x, y). If the coordinates of the pre-image of point H are (–2, –3), what are the coordinates of H'?
(7, –8)
(–7, 6)
(3, –12)
(2, 1)
Answer:
2,1
Step-by-step explanation:
T-5 .9(×,y)
-2,-3
=2,1
Answer:
D
Step-by-step explanation:
Please help me with geometry !! Been stuck a while
Answer:
area of circle having radius 3
is πr²=π*3²=9π square units
area of circle having radius 2
=πr²=π×2²=4π square units
again
area of big circle having radius [3+2]=5 units
=πr²=π×5²=25π square units
Now
area of shaded region=25π-4π-9π=12π or 37.7square units.
Answer:
37.7 sq units
Step-by-step explanation:
Find area if entire region then subtract out each smaller circle
Diameter of entire circle would be 3(2)+2(2) which is 10 so radius is 5
Area of entire region = 25π
Area of circle one = 9π
Area of circle two = 4π
Area of shaded region = 25π - 13π which is 12π or 37.7
Tom has some marbles in two bags. In one bag he has 3 yellow, 2 green and 1 red marble. In the other bag he has 3 yellow, 3 green and 3 red marbles. If Tom takes one marble out of each bag, how probable is it that neither one is yellow? Include a chart of all the data you have.
Answer:
1 / 3
Step-by-step explanation:
Bag 1 :
Yellow = 3
Green = 2
Red = 1
Total = 3 + 2 +1 = 6
Bag 2 :
Yellow = 3
Green = 3
Red = 3
Total = 3 + 3 + 3 = 9
P(not yellow from bag 1) = (green + red) / total = 3 /6 = 1/2
P(not yellow from bag 2) = (green + red) / total = 6/9 = 2 /3
P(neither is yellow) = 1/2 * 2/3 = 2 / 6 = 1/3
Amari claims that a rectangle is sometimes a parallelogram but a parallelogram is always a
rectangle. Is she correct? Explain if you agree or disagree with her and why.
Answer:
The statement is false.
Step-by-step explanation:
A parallelogram is a figure of four sides, such that opposite sides are parallel
A rectangle is a four-sided figure such that all internal angles are 90°
Here, the statement is:
"A rectangle is sometimes a parallelogram but a parallelogram is always a
rectangle."
Here if we found a parallelogram that is not a rectangle, then that is enough to prove that the statement is false.
The counterexample is a rhombus, which is a parallelogram that has two internal angles smaller than 90° and two internal angles larger than 90°, then this parallelogram is not a rectangle, then the statement is false.
The correct statement would be:
"A parallelogram is sometimes a rectangle, but a rectangle is always a parallelogram"
i will give decent points if corrected
Answer:
it's either a or b, but I would go with A
Answer:
the correct answer is A because the synonym 0f supplementary angle is straight angle and on obviously the sum of straight angle is 180⁰.
The length of a rectangle is 5m greater than its width and its area is 6m2. Find its dimensions.
[Hint: draw and label a picture]
Answer:
Width = 1 m and length = 6 m
Step-by-step explanation:
Let b is the width of the rectangle.
Length = 5+b
The area of the rectangle, A = 6 m²
We need to find the dimensions of the rectangle. We know that, the area of a rectangle is given by :
A = lb
[tex]6=(5+b)b\\\\6=5b+b^2\\\\b=-6, b=1[/tex]
Width of the rectangle = 1 m
Length of the rectangle = 5+b = 6 m
Hence, this is the required solution.
EASY!!! 100pts and brainliest
Write an equation that can be used to transform f(x) to g(x)
Translate to the right 7 or 8 units
Answer:
y2-y1 / x2-x1
Step-by-step explanation:
HELP PLEASE!!! i’ll mark BRAINLEST.
Answer:
3
Step-by-step explanation:
what divided by 5/6 equals 3/5
Answer:
let the decided no. be x
Now
[tex] \frac{5}{6} \times \frac{1}{x} = \frac{3}{5} [/tex]
[tex]5 \times 5 = 3 \times 6x[/tex]
[tex]x = \frac{25}{18} or1 \frac{7}{18} [/tex]
is a required answer.
when
no. divided by 5/6 equals 5/3
now
[tex] \frac{5}{6} \times \frac{1}{x} = \frac{5}{3} [/tex]
[tex]5 \times 3 = 5 \times 6x[/tex]
[tex]x = \frac{15}{30} [/tex]
[tex]x = \frac{1}{2} [/tex]is a required answer.
HELP PLS/GEOMETRY
20 POINTS
WHAT IS THE HEIGHT?
Answer:
8 ft is correct
Step-by-step explanation:
May you give me the answer to this please ?
Answer:
using pythagoras theorem
H^2=P^2+B^2
here h=MN ,opposite(P) be 15 and adjacent(B) be 16
(MN)2=15^2+16^2
(MN)^2=225+256
MN=[tex]\sqrt{481}[/tex]
MN=21.93
after rounding off MN=21.9
Step-by-step explanation:
Hey guys, hope your day is going well, can you plz help me with is question thank you, i will give 10 pts.
theres not picture so like i cant help u with that
What is the volume of this rectangular prism?
2
cm
2
cm
5
cm
5
Answer:
The volume is 8
Step-by-step explanation:
Volume=abc
V=(2/5)(2/5)(2/5)
V=8
Hellpppppppppp pleaseee
3. The data below shows the ages, in years, of the members in a swim club.
6, 8, 9, 12, 12, 14, 19, 19, 19, 24, 27, 36, 45, 59, 62, 68, 68, 69, 70
A 71-year-old member joins the swim club. Which statistical measure is increased by 1.5 years?
Answer:
24
Step-by-step explanation:
It took Lorinda 45 minutes to drive from her house to the airport. It took her 10 minutes to find a parking space and 25 minutes to walk to the terminal and check in. Then it took her 20 minutes to walk to the gate and board the plane. She boarded the plane at 11:10 A.M. At what time did Lorinda leave her house?
Answer:
9:30am
Step-by-step explanation:
To find what time simply add all of the minutes together and subtract. All of the steps take 100 minutes to do. 11.10 am is 670 minutes. So 670 - 100 = 570 then divide by 60 to get the time ie 9:30 am
HELP PLEASE ASAP I MIGHT FAIL MY TEST
What is the area of the circle?
a) 18.84 square kilometers
b) 113.04 square kilometers
c) 37.68 square kilometers
d) 84 square kilometers
Answer:
113.04 km^2
Step-by-step explanation:
Here the circle radius is 6 km. The Area formula is A = (3.14)(6 km)^2, or
A = 3.14(36) km^2 = 113.04 km^2 (Answer b)
Answer:
Solution given:
radius [r]=6km
area of circle=πr²=π*6²=36*3.14=113.04cm²
So
b) 113.04 square kilometers is a required answer.
What is the answer
Please answer please
Answer:
Step-by-step explanation:
the coordinate of D is (3,-3) because it is 3 units right from the x axis and -3 units down in y axis.
Answer:
3,1x 3,1y
Step-by-step explanation:
A sphere has a diameter of 24 units. What is its volume in cubic units?
Answer:
Okay done
Step-by-step explanation:
Can you find the
Triangle’s perimeter
I’m marking branliest
Answer:
To calculate the perimeter of a triangle, add the length of its sides.
Step-by-step explanation:
Answer:
14x - 4
Step-by-step explanation:
perimeter is the sum of all sides
6x-8 + 3x+7 +5x-3
combine like terms to get:
14x -4
Becky found a tennis ball outside a tennis court. She picked up the ball and threw it over the fence into
the court. The path of the tennis ball can be represented by h = -16t2 + 80t, where h represents the
height of the tennis ball in feet and t represents the time in seconds.
31. Find the maximum height of the tennis ball.
32. How long will it take for the tennis ball to hit the ground?
Answer:
31). Maximum height = 100 feet
32). Time to hit the ground = 5 seconds
Step-by-step explanation:
31). Equation modeling the height 'h' of the ball is,
h = -16t² + 80t
For the maximum height of the ball,
Find the derivative of 'h' with respect to time 't' and equate it to zero.
[tex]\frac{dh}{dt}=\frac{d}{dt}(-16t^2+80t)[/tex]
[tex]=-32t+80[/tex]
[tex]\frac{dh}{dt}=0[/tex]
[tex]-32t+80=0[/tex]
[tex]t=\frac{80}{32}[/tex]
[tex]t=2.5[/tex] seconds
That means after 2.5 seconds ball will reach the maximum height.
By substituting [tex]t=2.5[/tex] in the equation,
[tex]h=-16(2.5)^2+80(2.5)[/tex]
[tex]h=100[/tex] feet
Therefore, maximum height achieved by the ball is 100 feet.
32). If the ball follows the parabolic path,
Time taken by the ball to reach the maximum height = Time taken by the ball to come back to the ground from the maximum height.
Time taken by the ball to hit the ground = 2(2.5) = 5 seconds
Help me please answer thanks
i need the answer now please
Answer:
180/147
Step-by-step explanation:
We need to find the additive inverse of the given numbers.
For finding it we may simply out -1 as multiplication in front of the terms .SOLUTION 1 :-
→ 3/-7 - 11/21
→ -3/7 -11/21
→ 3×-3 - 11 /21
→ -9-11/21
→ -20/21
SOLUTION 2 :-
→ 9/5 ÷ 7/5
→ 9/5 × 5/7
→ 9/7
→ Product of nos . = -20/21 × -9/7
→ Ans = 180/147