Answers
Given:
In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].
[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
To prove:
[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Proof:
In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.
In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],
Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex] [Given]
Leg : [tex]\overline{CD}=\overline{CD}[/tex] [Common]
If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.
[tex]\Delta ACD\cong \Delta BCD[/tex] [HL postulate]
[tex]\overline{AD}\cong \overline{BD}[/tex] [CPCTC]
[tex]\overline{AD}=\overline{BD}[/tex]
It means, point D is the midpoint of [tex]\overline{AB}[/tex].
So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Hence proved.
Related Questions
Evaluate x^2 + 2x -1 when x = -3
help
1. -2
2. 2
3. 16
4. -15
Answers
Answer:
2
Step-by-step explanation:
just put -3 to x
9-7=2
= -3^2 + 2(-3) -1
= 9 - 6 - 1
= 3 - 1
= 2
So the answer to this question is 2.
Also, I just want to say happy new year to you and also, have a fantastic rest of your day.
Also, can you please mark my answer as the brainliest answer?
Thank you!!
can you help me with something
Answers
Answer:
D. 1
Step-by-step explanation:
7,491 times 19 yields 142, 329
Answer:
Step-by-step explanation:
Dans une operation de promotion, un magasin accorde une remise de 5% sur les prix affiché.
Le montant de la remise est-il proportionnel au prix affiché? Quel est le coefficient de proportionnalité? Le montant du prix a payer après remise est-il proportionnel au prix affiché?
Determiner la fonction f qui, au prix affiché x, fait correspondre le prix a payer après remise.
Representer graphiquement la fonction f pour 0<x<1000
List the next three terms in the following sequence:
1, 2, 4, 7, 11, 16,...
Also list the number that would be the twentieth number in the sequence.
a.
23, 31, 40; 200
b.
23, 31, 40; 191
c.
22, 28, 35; 185
d.
22, 29, 37; 191
Answers
Answer:
The answer is D
Step-by-step explanation:
Each time sum of previous number and position of that previous number in given series, with the formula being:
previous number + position of previous number = next number
For example, 7 is in the 4th spot so 7+4=11.
Answer:
d
Step-by-step explanation:
Find the slope of the line
Answers
Answer:
1/2 is the slope
Step-by-step explanation:
By using the graph provided, you can count the lines and go up 1 and over 2. Hope this helped!
Identify the interval(s) on which the function y = 2x^2 - 8x - 10 is positive.
A. -1
B. x < -1 and x > 5
C. -5
D. X<-5 and x > 1
Answers
Given:
[tex]y=2x^2-8x-10[/tex]
To find:
The interval(s) on which the given function is positive.
Solution:
We have,
[tex]y=2x^2-8x-10[/tex]
[tex]y=2(x^2-4x-5)[/tex]
[tex]y=2(x^2-5x+x-5)[/tex]
[tex]y=2(x(x-5)+1(x-5))[/tex]
[tex]y=2(x+1)(x-5)[/tex]
For zeroes, [tex]y=0[/tex]
[tex]2(x+1)(x-5)=0[/tex]
[tex]x=-1,x=5[/tex]
-1 and 5 divide the number line in three parts [tex](-\infty , -1),(-1,5),(5,\infty )[/tex].
Interval Selected Value [tex]y=2(x+1)(x-5)[/tex] Sign
[tex](-\infty,-1)[/tex] -2 [tex]y=2(-2+1)(-2-5)=14[/tex] +
[tex](-1,5)[/tex] 0 [tex]y=2(0+1)(0-5)=-10[/tex] -
[tex](5,\infty)[/tex] 6 [tex]y=2(6+1)(6-5)=14[/tex] +
So, the function is positive for interval [tex](-\infty,-1)[/tex] and [tex](5,\infty)[/tex].
We can say that the function is positive for interval x < -1 and x > 5.
Therefore, the correct option is B.
Graph the function.
f(x)= 3/5x}=-5
Answers
Since 3/5 is your slope and slope equals rise over run you go up 3 units and go right 5 units.
Find the length of the third side to the nearest tenth.
Answers
Answer:
2.2
Step-by-step explanation:
9-4=5
[tex]\sqrt{5} =2.2361[/tex]
2.2
PLSSSSSSSSSSSSSSS HELP ME I WILL GIVE BRAINIEST
Answers
Absolute value numbers will always be positive numbers
Answer:
The answer is A
Step-by-step explanation:
2x + 5/4 = -5 -4x/12
Solve for x to make the proportion true.
Answers
[ 6 × ( 4 + 2 ) − 6 ] ÷ 3 can you plz give me the anwers plz and the right anwers
Answers
Answer: 10
Step-by-step explanation: I think
Answer:
Step-by-step explanation:
Solution:
=6×6-6÷3
=36-6÷3
=30÷3
=10
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
1/4t - 6 = -4
what is t?
Answers
Answer:
t = 8
Step-by-step explanation:
Each day a bobcat drinks about 7 times as much water as a mink drinks.
How much water can a bobcat drink in one day?
Water Consumption
Animal Average Amount
(Liters per day)
Canada Goose 0.24
Cat 0.15
Mink 0.10
Opossum 0.30
Bald Eagle 0.16
A bobcat drinks about liter(s) in one day.
Answers
Answer:
0.70
Step-by-step explanation:
It is 0.70 because you multiply 7 x 10 and that is 70 then you just put 0. in front of it
Which math expression means "the product of an unknown number and 110"? O A. x+110 B. X. 110 C. X-110 D. x+ 110 please help me i give you 20 points and follow you
Answers
Answer:
x*110
Step-by-step explanation:
Answer:
It is B: x * 110
Step-by-step explanation:
below this text is the question
Answers
Totally blanking on how medians work
Answers
===============================================
The three medians of this triangle are:
PFREQDThese segments go from one vertex to the midpoint of the opposite side.
The median we'll focus on is PF.
The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC
In other words,
CF = 2*PC
This means,
PF = PC+CF .... segment addition postulate
PF = PC+2*PC ... replace CF with 2*PC
PF = 3*PC .... combine like terms
So the median PF is three times the length of its portion PC
We're told that PF = 24
We can then find the following:
PF = 3*PC
24 = 3*PC
3*PC = 24
PC = 24/3
PC = 8
Then we double this to get the length of CF
CF = 2*PC
CF = 2*8
CF = 16
This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.
The final answer is 16.
Assuming the lines are evenly spaced between the integers, what number, in decimal notation, is represented by the plotted point?
Answers
Answer:
-1.4
Step-by-step explanation:
There are five increments between -2 and -1, so we find the difference between -2 and -1, which is 1. Divide 1 by five (increments)=.2
This means that every increment is worth 0.2.
If we see it from the left to right, from -2, there are 3 increments to the right, so multiply three by 0.2 which is 0.6, add 0.6 to -2, which is -1.4.
Hope this helps!
93 = 3(j − 64) help plz
Answers
Answer:
95
Step-by-step explanation:
What is the quotient of 154,504 divided by 28
Answers
Answer:
5518
Step-by-step explanation:
I WiLL GiVe BrAnYeSt
Molly has 7,406 stickers in her collection. She wants to put them into a book. She can fit 14 stickers on each page. How many pages will she need? (1 point)
A.520
B.529
C.538
D.547
Answers
Answer:
the answer is 529
Step-by-step explanation:
divide 7,406 and 14 and the answer is 529
This shows the trapezoid cut into two triangles what are the areas of the two triangles?
Answers
Area=4•1/2=2
In trapezoid, diagonal cuts it to two triangles with same area, so the area of the second triangle would be 2 as well
Answers are 2 and 2
whats 937478485873737+98477573838837÷83747478483838??jjdjf?
Answers
Answer:
9.3747849e+14
Step-by-step explanation:
Djdjeieiwnqn
Step-by-step explanation:
Function or not? {(2,4)(2,-6)(3,-1)}
Answers
Answer:
Not
Step-by-step explanation:
There cannot be the same two inputs and have different outputs
Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.
(14, -7)
(2, 1)
(14, 1)
(2, -7)
Answers
Answer:
(14 , -7)
Step-by-step explanation:
terminal points: A (-6,3) B (4,-2)
u = x₁ + i y₁ u = -6 + i3
v =x₂ + iy₂ = 4 - i2 2v = 8 - i4
2v - u = (8 - i4) - (-6 + i3) = 14 -i7
Resulting terminal point: (14 , -7)
Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.
(14, -7)(2, 1)
(14, 1)
(2, -7)
the ratio of boys to girls in a group of 2:1. if there are 22 more boys than girls, work out how many people there are in a solo
Answers
Answer:
There is 11 girls but 33 people in solo
Bo, Ryan and Zachary went for a walk. They walked 1/4 miles from school to Bocas House. Then they walked 4/6 miles From Paul’s house to the park. What is the total distance with the boys walked?
Answers
Answer:
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
Step-by-step explanation:
Given that:
Distance walked from school to Bocas house = 1/4 miles
Distance walked from Paul's house to the park = 4/6 miles
Total distance walked = [tex]\frac{1}{4}+\frac{4}{6}[/tex]
Total distance walked = [tex]\frac{3+8}{12}[/tex]
Total distance walked = [tex]\frac{11}{12}[/tex] miles
Hence,
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
3. Which rule represents a linear function? Check all
that apply.
O A. y=-5x
C. Y= X-3
Q B. y=x4
Answers
The answer is C because the function form for a linear function is f(x) = ax+b and the answer C has x which is the slope and -3 which would represent the y-intercept also known as b
How many solutions exist for the given equation?
x+12) = 4x-1
EEEE
O zero
O one
two
O infinitely many
Answers
Answer:
One answer exists for this equation.
find the slope it is due today
Answers
Answer: ▽▽
Step-by-step explanation: m = slope
m = y2 - y1 / x2 - x1
3.) (-2, 0) (0, -4)
-4 - 0 / 0 - (-2)
-4 - 0 / 0 + 2
-4 / 2
-2
m = -2
4.) (0, 4) (2, 0)
0 - 4 / 2 - 0
-4 / 2
-2
m = -2
I feel I did smth wrong so I hope this is correct!
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it
Answers
Answer:
[tex](f-g)(x)=2x-3[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
By substitution:
[tex]=(3x-1)-(x+2)[/tex]
Simplify. Distribute:
[tex]=(3x-1)+(-x-2)[/tex]
Rearrange:
[tex]=(3x-x)+(-1-2)[/tex]
Therefore:
[tex](f-g)(x)=2x-3[/tex]
What is 3 p +2 ( 5p - 3 )
Answers
Answer:
15p + -6
Step-by-step explanation:
15p^2 -1