Questions on Geometry: Points, lines, angles, perimeter answered by real tutors!

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Question 203940: I need your help about this:
Find the equation of the line with points equidistant from (5,-2) and (4,3).
Click here to see answer by ikleyn(53369)

Question 554469: hi, i need your help please... i don't know how to answer these questions because i can't fully imagine them... i hope you can help me because i really want to understand this lesson for the sake of my grades.....
a) the sum of the distance from a point P to (4,0) and (-4,0) is 9. if the abscissa of P is 1, find its ordinate...
b)the center of a circle is at (-3,-2). if a chord of length 4 is bisected at (3,1), find the length of the radius...

THANK YOU!!!!!
Click here to see answer by n2(19)

Question 1186939: Suppose that O=(0,0), A=(3.4,0), and B=(2.81,1.92). The arc between points B and C is 12.92 units long.
A. What is the value of (theta)1, the radian measure of Angle AOB?
B. What is the value of (theta)2, the radian measure of Angle BOC?
C. What are the x- and y-coordinates of point C?
Click here to see answer by ikleyn(53369)

Question 1166974: P is the centre of a circle that passes through O, and O is the centre of a circle that passes through P. If angle C=66 degrees, then the measure of angle OPB, in degrees is:
A) 120
B) 125
C) 116
D) 128
E) 124
https://imageshack.com/i/pnM6OEIVj
Click here to see answer by ikleyn(53369)

Question 1180852: TV weather forecasters use satellite and radar data to predict where storms will move in order to help viewers know what weather to expect. The map below shows a storm off the eastern coast of the United States. The arrows show the path the heart of the storm traveled over the last 48 hours. If you were a forecaster in the northeast, use the map to answer the following questions.
https://api.agilixbuzz.com/Resz/~0.6NT8GFszQyEepNgJ.U8Pc_1Jw6w7bKhdBO1lgK6sThuzD160XdxwpKkVzzWg/48780464,FA7,11,3/Assets/Media/Images/41.2-HOT3-Weather.jpg
a. What would you tell your Northeast coast audience? Which type of reasoning—inductive or deductive—did you use? Explain.
b. Write an if-then statement to describe your conjecture.
c. Write the inverse of the statement.
d. Write the converse and contrapositive of the statement.
Click here to see answer by CPhill(2138)

Question 1209705: Find the slope of the line
y
=
3
2
x
+ 2
.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Click here to see answer by math_tutor2020(3827)

Question 1188287: Given triangle ABC with D the midpoint of side AB and E on side BC, F on side AC and G is the intersection of side DE and side BF. BE:EC = 2:3 and DG:GE = 5:8. What is the ratio of BG:GF?
Click here to see answer by yurtman(42)

Question 1195764:
Let’s assume the following statements are true: Historically, 75% of the five-star football recruits in the nation go to universities in the three most competitive athletic conferences. Historically, five-star recruits get full football scholarships 93% of the time, regardless of which conference they go to. If this pattern holds true for this year’s recruiting class, answer the following:
a. Based on these numbers, what is the probability that a randomly selected five-star recruit who chooses one of the best three conferences will be offered a full football scholarship?
b. What are the odds a randomly selected five-star recruit will not select a university from one of the three best conferences? Explain.
c. Explain whether these are independent or dependent events. Are they Inclusive or exclusive? Explain.

Click here to see answer by ElectricPavlov(122)

Question 1208981: One square is placed upon another so that a regular octagon is formed, along with eight right isosceles triangles each with its hypotenuse on a side of the octagon. If the perimeter of the octagon is 18 cm, find the perimeter of the star, in cm.
https://ibb.co/3MVhbWy
Click here to see answer by ikleyn(53369)

Question 1208847: P(-2,1) y=1/4x-3
Click here to see answer by Edwin McCravy(20077)

Question 1207455: ABC is a triangle with ∠CAB=15
∘
and ∠ABC=30
∘
. If M is the midpoint of AB, Sin then ∠ACM= ?
Click here to see answer by ikleyn(53369)

Question 1207455: ABC is a triangle with ∠CAB=15
∘
and ∠ABC=30
∘
. If M is the midpoint of AB, Sin then ∠ACM= ?
Click here to see answer by Edwin McCravy(20077)

Question 1207455: ABC is a triangle with ∠CAB=15
∘
and ∠ABC=30
∘
. If M is the midpoint of AB, Sin then ∠ACM= ?
Click here to see answer by greenestamps(13250)

Question 1206891: Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below.
G (4, 6), H (1, 5)

Click here to see answer by ikleyn(53369)

Question 1206892: Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below.
E ( - 2, 2), F (5, 1)

Click here to see answer by josgarithmetic(39685)

Question 1064005: ΔABC has vertices at A(5,2), B(−3,1), and C(−2,5). Point D is located on the intersection of the altitude and AB�, in such a way that D has coordinates at approximately (−1.52,1.18).
https://cds.flipswitch.com/tools/asset/media/607812
Match each question with the correct measurement, rounded to one decimal place.

What is the approximate area of the triangle?

What is the approximate length of the base of the triangle for the given altitude?

What is the approximate length of the altitude of the triangle?

16.1 units

3.9 units

8.1 units

7.6 units

15.8 units

8.0 units

Click here to see answer by math_tutor2020(3827)

Question 1206482: Given the two circles defined by the equations x^(2)-6x+y^(2)+8y=12 and x^(2)+y^(2)=4y, find the algebraic equation of the line connecting their centers.
Click here to see answer by greenestamps(13250)

Question 1206483: A bug lives on a corner of a cube and is allowed to travel only on the edges of the cube. In how many ways can the bug visit each of the other seven corners once and only once, returning to its home corner only at the end of the trip?
Click here to see answer by ikleyn(53369)

Question 1074065: The segment AB is one third of the entire length of segment AD. If A(3,-2) and B(0,2), then where is the terminal point D located?
Click here to see answer by ikleyn(53369)

Question 1115219: T(-10,-2) R(10,8) Y(11,-9) are vertices of ∆TRY
1) find equation of YA, the altitude from Y to TR . show that A(4,5)
2) if equation of perpendicular bisector is y=3x-7, find equation of circle through T, R, Y .
3) find the area of ∆TRY
4) find size of angle T
Click here to see answer by mananth(16949)

Question 1206377: A machinist in a fabrication shop needs to bend a metal rod at an angle of 60° at a point 4m from one end of the rod so that the ends of the rod are 12m apart.
Click here to see answer by josgarithmetic(39685)

Question 1205759: Determine if the angle is complementary, supplementary, or vertical. Find the value of x in the figure.
angle AB = (x+8)
angle BC = 2x
What is the value of x?
Click here to see answer by math_tutor2020(3827)

Question 1205320: Question Number 11 of 20 - Geometry
Circle O with radius 10.
The area of the shaded sector of circle O
is -
f 50π
g 25π
h 5π
j 20π

Click here to see answer by MathLover1(20854)

Question 1205320: Question Number 11 of 20 - Geometry
Circle O with radius 10.
The area of the shaded sector of circle O
is -
f 50π
g 25π
h 5π
j 20π

Click here to see answer by josgarithmetic(39685)

Question 1204896: The segment joining (-2,-3), (6,1) is extended each way a distance equal to one-fourth its own length. Find the terminal points.
Click here to see answer by math_tutor2020(3827)

Question 1204896: The segment joining (-2,-3), (6,1) is extended each way a distance equal to one-fourth its own length. Find the terminal points.
Click here to see answer by mananth(16949)

Question 1203782: 𝐸 is the midpoint of 𝐷F. 𝐷𝐸 = 4𝑥 + 3
and 𝐸𝐹 = 8𝑥 − 9. Find 𝐷𝐸, 𝐸𝐹, and 𝐷�
Click here to see answer by MathLover1(20854)

Question 1203782: 𝐸 is the midpoint of 𝐷F. 𝐷𝐸 = 4𝑥 + 3
and 𝐸𝐹 = 8𝑥 − 9. Find 𝐷𝐸, 𝐸𝐹, and 𝐷�
Click here to see answer by mananth(16949)

Question 1203609: Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 16 feet larger than that of smaller circle and the ratio of the circumferences is 15:1, what are the radii of the two circles?
Click here to see answer by math_tutor2020(3827)