A perpendicular bisector is a special type of bisector because it intersects a segment at a 90 degree angle, and it passes through the segments midpoint.
Therefore based from this, we can create two true statements:
XB = BZ
and
∠ABZ = ∠ABX
Therefore the answer is:
C
Answer:
The answer is C. <ABZ = <BAX hop this hope this help
Can anyone help me to understand how to solve coordinate proofs in Geometry?????
The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument.The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .For example, the following is a coordinate proof of the Triangle Midsegment Theorem , which states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and exactly half the length.Without loss of generality, we can assume that one side of the triangle lies on the xx -axis with one vertex at (0,0)(0,0) and the other vertex at(a,0)(a,0).Let the third vertex have the coordinates (b,c)(b,c) . We can assume without loss of generality that this third vertex lies in the first quadrant. (If it doesn't, you can just reflect the triangle over the xx - and/or yy -axis until it does.)
Example:
To Prove: XY¯¯¯¯¯¯XY¯ is parallel to PR¯¯¯¯¯PR¯ and
XY=12PRXY=12PR
Proof:
Using the midpoint formula , the coordinates of the midpoints XX and YY are
X(0+b2,0+c2)=X(b2,c2)Y(a+b2,0+c2)=Y(a+b2,c2)X(0+b2,0+c2)=X(b2,c2)Y(a+b2,0+c2)=Y(a+b2,c2)
First note that the slope is 00 , since
m=riserun =(c2−c2)(b2−(a+b2)) =0(b2−(a+b2)) =0m=riserun =(c2−c2)(b2−(a+b2)) =0(b2−(a+b2)) =0
So, XY¯¯¯¯¯¯XY¯ is parallel to PR¯¯¯¯¯PR¯ .
Now, compare the lengths of the two segments.
XY=a+b2−b2 =a2PR=a−0 =aXY=a+b2−b2 =a2PR=a−0 =a
So,
XY=12PRXY=12PR
Thanks to google for example
hope this helps
99 Points (again..)! Are these Equations Linear Or nonlinear?
72=x3+y
y+1=5(x−9)
7y + 2x = 12
4y = 24
Hi There!
1. Not Linear (Because it has a exponent)
2. Linear (Stated in Point Slope Form)
3. Linear
4. Linear
Hope This Helps :)
How to algebraically find the inverse of a function?
The inverse function of y = 3x + 2 is y = ( -x + 2 )/3 obtained by switchig the places of x and y.
What is a function?A function can be thought of as an output for the given set of inputs.
To find the inverse of a function algebraically first we have determine whether the given function is one-to-one or not. A one-to-one function is a function in which each different value of the domain corresponds to a different value in the range of the function.
Suppose we have a function f(x) = 3x + 2 which can be written as y = 3x + 2.
Now to obtain the inverse of this function we have to switch x and y in their respective places and solve for y.
∴ y = 3x + 2
x = 3y + 2.
3y = - x + 2.
y = ( -x + 2 )/3.
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What values of k makes the equation true?
In science class, the girl to bot ratio is 3 to 7, if there are 50 students total in the class, how many are boys
n/5 greater than or equal to 11
Answer:
n = 55
Step-by-step explanation:
55/5 = 11!
Greater than or equal to 11 and 55 is greater than, 11.
The answer 55 also works with /5!
Please make sure to take care and have a great day!
Which choice correctly expresses the number below in scientific notation 0.0000431
Simplify the following expression?
1/2(22m+30)
A study of several cities shows a positive correlation between the percent of people late to work and the amount of pollution on the roadways. Which statement is most likely true?
A. Pollution makes people late to work.
B. People who tend to be late make more pollution than those who tend to be on time
C.The correlation is due to a third variable: traffic.
D. The correlation is due to a third variable: cost of windshield wiper fluid.
Answer:Its C
Step-by-step explanation:
To convert a fraction to a decimal, you have to divide ________ by the _________?
Will give brainliest?
the top number of a fraction is the numerator, the bottom number is the denominator
to turn a fraction into a decimal divide the numerator by the denominator (Top number by the bottom number)
The length of Leland’s garden is 15m 24cm.the length of his friend garden is 2m 98cm more than Leland’s . What is the length of his friend garden ?
His friend's garden is 18.22 meters long.
R (Read):
Leeland's garden is 15 meters and 24 centimeters long.
His friend's garden is 2 meters and 98 centimeters longer than Leeland's.
We need to find the length of his friend's garden.
D (Define):
Let L be the length of Leeland's garden in meters.
Let F be the length of his friend's garden in meters.
W (Write):
We can write the given information as equations:
L = 15.24 meters (converting 24 cm to meters)
F = L + 2.98 meters
Solve:
Substitute equation 1 into equation 2:
F = (15.24 meters) + 2.98 meters
F = 18.22 meters
, , and are tangent to circle o through points c, b, and e, respectively. if mdaf = 66° and mfda = 56°, what is meob?
Juan has invested $3500 in a stock transaction. He later sold the stock and received $4553.50. What was Juan's return on investment (ROI)?
A.) about 23.1%
B.) about 130%
C.) about 76.9%
D.) about 30.1%
Nathan's rental costs for a 5-day trip are $234 in rental fees, plus 4 percent tax, plus $20 a day car insurance. What total did he pay for the rental?
A. $214.36
B. $343.36
C. $263.36
D. $254
Saidhari bought a toaster oven for $60. this price was 1/4 The list price. What is the list price
30 POINTS! ANSWER ASAP PLEASE!!! WILL THANK ACCOUNT AND ALL ANSWERS!!
The coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).
What is the perimeter of the polygon to the nearest tenth of a unit?
15.3 units
16.9 units
17.5 units
17.9 units
Answer:
16.9 units
Step-by-step explanation:
Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...
14.87 + 2 = 16.87 ≈ 16.9 . . . units
_____
The distance formula can be used to find the lengths of individual segments. It tells you ...
d = √((Δx)² +(Δy)²)
where Δx and Δy are the differences between x- and y-coordinates of the segment end points.
If the segments are labeled A, B, C, D, E in order, the distances are ...
AB = √(5²+1²) = √26 ≈ 5.099
BC = √(1²+3²) = √10 ≈ 3.162
CD = Δx = 3
DE = √(3²+2²) = √13 ≈ 3.606
EA = Δy = 2
Then the perimeter is ...
P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867
P ≈ 16.9
The fourth term of an arithmetic sequence is 8. if the common difference is 2, what is the first term
The first term of the given arithmetic sequence is 2.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
Given that, the fourth term of an arithmetic sequence is 8 and the common difference is 2.
Here, a₄=a+(4-1)×2
8=a+6
a=2
Therefore, the first term of the sequence is 2.
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1. If 1/2 is added to three times the reciprocal of a number, the result is 1. Find the number.
2. The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulting fraction is equal to 5/7 . What is the original fraction?
TYYYSMMMM
What are the key variables that must be weighed against each other when considering an HMO, PPO, fee-for-service, or other plan?
A person standing on top of a 11 11-foot high sand pile wishes to estimate the width of the pile. he visually locates two rocks on the ground below at the base of the sand pile. the rocks are on opposite sides of the sand pile, and he and the two rocks are in the same vertical plane. if the angles of depression from the top of the sand pile to each of the rocks are 28 ∘ 28∘ and 19 ∘ 19∘, how far apart are the rocks rounded to the nearest foot?
The problem involves trigonometry to determine the width of the sandpile. The angles of depression equate to angles of elevation from ground up. Using the tangent function and the provided angles of depression, the distances to the rocks are calculated and added together to get approximately 52 feet as the pile's width.
Explanation:This problem involves the application of trigonometry, specifically the tangent function (tan) in relation to angle of depression. To start with, we need to note that the angle of depression is equivalent to the angle of elevation as observed from the ground upwards. Hence, if the angles of depression are 28° and 19° respectively, it would mean that the angles of elevation at the rocks would be 28° and 19° respectively.
We can use the formula for tangent, which is tan(θ)=Opposite/Adjacent. In this context, 'Opposite' is the height of the pile (11 feet), and 'Adjacent' is the distance from the base of the pile to the rock. We get two equations:
tan(28°)= 11/D1, with D1 being the distance from the rock to the pile on one side;and tan(19°)= 11/D2, with D2 being the distance from the rock to the pile on the other side.We rearrange to find D1 and D2. Finally, the total distance (width of the pile) is simply D1 + D2. Using a calculator, D1 is approximately 21 feet and D2 is approximately 31 feet. Hence, the width of the sandpile is approximately 52 feet when rounded to the nearest foot.
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Serra rode 15 mi in 1.5 hr. Phaelon rode 38 mi in 3.5 h. Justice rode 22 mi in 2.25 hr. Who had the fastest average speed?
Using the formula of average distance = total distance traveled / total time taken, we find that Phaelon had the fastest average speed of 10.86 mi/hr.
Explanation:To find out who had the fastest average speed, we'll need to calculate the average speed for each person. We can do this by dividing the total distance traveled by the total time taken.
Serra's average speed: 15 mi / 1.5 hr = 10 mi/hr
Phaelon's average speed: 38 mi / 3.5 hr = 10.86 mi/hr
Justice's average speed: 22 mi / 2.25 hr = 9.78 mi/hr
So, by comparing these speeds, we can conclude that Phaelon had the fastest average speed of 10.86 mi/hr.
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20 POINTS WILL MARK AS BRAINLIEST AND SAY THANKS In 2000, the cost of many items increased because the increase in the cost of gas. In Chicago, a gallon of self-serve regular gasoline cost $1.76 in May and $2.13 in June. Write an equation that could be used to determine the cost of gasoline during any month in 2000. (Hint: use 1 to represent January.)
A) y = .37x + 5
B) y = .37x + 1.76
C) y = .37x + 2.13
D) y = .37x - .09
Ashley drove 5 hours and 45mins and drove 391 miles. How far did she drive in 1 hour
What is X in this situation? I'm thinking that you could get X, via vertical angles, but I'm not too sure.
Leona spent $22.95 at the mall. She bought a T-shirt and a book. The book $12.25. How much did the T-shirt cost?
A. Write the equation that models the problem.
B. Solve the Equation.
C. Answer the question.
A) Let x = cost of t-shirt:
x= 22.95-12.25
B) x = 22.95 -12.25 = 10.70
C) the t-shirt cost $10.70
Solve the equation P=2q+2w for q
c = 0.20m+2.00 what is the charge for 2.7 mile ride?
∠C and ∠D are vertical angles with m∠C=−2x+90 and m∠D=x−30 .
What is m∠D?
A plane flies x mph. How far can it go in y hours?
Which expression represents this?
A.) x/y miles
B.) xy miles
C.) x + y miles
does a line that bisects an angle of a triangle also bisects the side that is opposite the angle?