Triangle ABC is shown
с
Given: Triangle ABC is isosceles. Point D is the midpoint of AC.
Prove: BAC = BCA
Place reasons in the table to complete the proof.
Reasons
1. Given
Statements
1. Triangle ABC is isosceles.
D is the midpoint of AC
2. 2. ADDC
3 3 BA = BC
2. Definition of midpoint
3. Definition of isosceles triangle
4. A single line segment can be drawn between
any two points
5.
4. 4. BD exists
5. 5. BD BD
6. 6. AABD
shyap
6
7.7 /BAC/BCA
7
Symmetric
Reflexive
AA
Answers
Answer:
Step-by-step explanation:
Statements Reasons
1). Triangle ABC is isosceles. D is 1). Given
the midpoint of AC.
2). AD ≅ DC 2). Definition of midpoint
3). BA ≅ BC 3). Definition of an isosceles
triangle.
4). BD exists 4). A single line segment can be
drawn between any two points.
5). BD ≅ BD 5). Reflexive property
6). ΔABD ≅ ΔCBD 6). By SSS property of congruence
7). ∠BAC ≅ ∠BCA 7). CPCTC
Related Questions
Denise proposes the following transformation rule for this rotation:
(x,y) ➝ (y+4, -x-2)
Does this rule work? Justify your answer.
Answers
Answer:
The proposed rule correctly works.
Step-by-step explanation:
As the original triangle has the vertices with the coordinates
A(-6, 6)B(-6, 1)C(-2, 1)From the given diagram, the image of the triangle has the vertices
A'(10, 4)
B'(5, 4)
C'(5, 0)
According to the proposed rule, the image should have the following vertices.
(x,y) ➝ (y+4, -x-2)
A(-6, 6) ➝ (6+4, -(-6)-2) = A'(10, 4)
B(-6, 1) ➝ (1+4, -(-6)-2) = B'(5, 4)
C(-2, 1) ➝ (1+4, -(-2)-2) = C'(5, 0)
So, the coordinates of the image of the triangle are correctly drawn as per the proposed rule.
Therefore, the proposed rule correctly works.
Write an equation of the line, in point-slope form, that passes through the two given points. points: (-3,18). (12,-12)
Answers
Answer:
y = -2x + 12
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-12 - 18) / (12 + 3)
-30 / 15
= -2
Then, plug this and a point into y = mx + b and solve for b:
y = mx + b
-12 = -2(12) + b
-12 = -24 + b
12 = b
Then, plug in the slope and b into y = mx + b
y = -2x + 12 is the equation of the line
PLZ HELP ME WITH THIS!!! I WILL MARK BRAINLIEST!!!
Answers
Answer:
-2+2= 0
Step-by-step explanation:
he's incorrect bc 2 is greater than 0. so the sum is less than one of the numbers in the equation
The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 45 to 90 minutes. What is the probability that the cycle time exceeds 80 minutes if it is known that the cycle time exceeds 50 minutes? (Round your answer to four decimal places.)
Answers
Answer:
try to sreach this on brainly the question and see if someone already answer it
Step-by-step explanation:
i need help please !
Answers
Answer:
me too but I'm not sure
Answer:
E(8,8) F(6,10) G(2,8) H(6,6)
Step-by-step explanation:
When rotating point 180° about the origin, all signs must change
ex) A(x,y) becomes A(-x,-y)
Plz help (extra points)
Answers
Answer:
6/18 bags
Step-by-step explanation:
Answer:
8/12 OF A BAG IS THE RIGHT ANSWER
Which point is in the graphed solution set of this system of inequalities?
{4x−3y 5
(0, −6)
(2, 2)
(2, −1)
(−2, 0)
Answers
Answer:
(2,-1)
4 over 3 on a gragh divided by the demonitar of the higher number equaled to 5 will get u (2,-1)
Step-by-step explanation:
Hopefully this helped, have a great day! :)
Reflection. Can anyone figure this out?
Answers
Hope this helps :p
<3
Help me pls and thank you
Answers
Answer: 6
Step-by-step explanation:
Answer:
42/7 or 6
Step-by-step explanation:
First, let's start off with the top part. 6^2 is 6 times 6, which is 36. 36 + 6 = 42. Now for the bottom part, 4^2 is 4 times 4, which is 16. 3^2 is 9. 16-9=7. 42/7 is the fraction form and if you want it simplified, then it is 6.
Hope that helps!
-6(6m + 7) = 102
Please help
Answers
Answer:
Heres ur answer m=-4
There are 7 roses in a vase of 12 flowers. The rest are daisies.
(a) What is the ratio of roses to daisies?
(b) What is the ratio of all flowers in the vase to daisies?
Answers
b) 12:5
It’s that
Answer:
A: 7:5 B: 12:5
Step-by-step explanation:
By doing simple subtraction you can find that the remaining flowers are daisies, the rest is self explanatory. Hope this helps!
if somebody answered my question i will give them thanks and brill and vote
Answers
Answer:
which out of those you want answer for? happy to help
Step-by-step explanation:
The table below shows an input/output relationship. Find the Starting Value/y-intercept.
Answers
Answer:
Input 0 and Output -6
Step-by-step explanation:
The reason why is that we know that -4 has a output of -18 which -3 has a output of -15 meaning each time x increases by 1 the output increases by 3. 1:3 ratio basically so since we know this the starting value should be
y=0+3x
Which relation is a function?
A.
{(2, 3), (1, 5), (2, 7)}
B.
{(-1, 5), (-2, 6), (-3, 7)}
C.
{(11, 9), (11, 5), (9, 3)}
D.
{(3, 8), (0, 8), (3, -2)}
Reset
Answers
Answer:
b
Step-by-step explanation:
Write the expression in standard form. 4 - 14i
Answers
Answer:
4 - 14i
Step-by-step explanation:
The answer is already in it standard form.
Hope this helps!
What is the middle term of the product of (3m - 1)(m + 9)
Answers
Answer:
26m
Step-by-step explanation:
26m
Step-by-step explanation
i will mark you. i need help fast thank you!
Answers
Answer:
If I'm correct it should be the second one
Step-by-step explanation:
llllllllllllllllllllllllllllllll
Write the number for nineteen million eight thousand
Answers
Answer:
18,008,000 that's how you write it
Answer:
19008000
Step-by-step explanation:
hope it helps :)
Which quadrant is negative 3 and positive 15
Answers
Answer: quadrant 3
Step-by-step explanation:
Which finds the solution to the equation represented by the model below?
O removing 1 x-tile from each side
O removing 3 unit tiles from the right side
O adding 3 positive unit tiles to each side
O arranging tiles into equal groups to match the number of x-tiles
Answers
Answer:
removing 1 x-tile from each side.
Step-by-step explanation:
the question is asking to isolate x and the equation is 2x = x + 3.
to isolate x subtract each side by an x-tile
Answer:
The answer is A
Step-by-step explanation:
There are 80 dogs and cats in the animal shelter. The ratio of dogs to cats is 5/11. How many of the animals are dogs
Answers
Answer:
25 dogs and 55 cats
Step-by-step explanation:
5/11 ratio, first add those up which you get 16
Then divide the total amount of animals by the ratio-80
80/16 = 5
(5*5)/(11*5)
25 dogs and 55 cats
Slope pls help ASAP due today
Answers
Answer:
y = 2x - 3
Step-by-step explanation:
Slope = 2
Y-intercept = -3
If the real exchange rate is 5/4 pounds of Chilean beef per pound of U.S. beef, a pound of U.S. beef costs $2 and the nominal exchange rate is 500
Chilean pesos per dollar, then Chilean beef costs
Answers
Most dermatologists recommend using sunscreens that have a Sun Protection Factor (SPF) of at least 30. One of the authors wanted to find out whether the SPF of sunscreens used by students at her school exceeds this value on average? To collect data, the author surveyed students in her introductory statistics course and found that in a sample of 52 students the mean SPF was 34.55 and the standard deviation of SPF was 20.12. The data were not strongly skewed.
Required:
Use the Theory-Based Inference applet to find and report the 95% confidence interval for the parameter of interest.
Answers
Answer:
95% confidence interval = ( 28.9485, 40.1515 )
Step-by-step explanation:
sample size( n ) = 52
mean value ( x )= 34.55
std ( б ) = 20.12
H0 : u ≤ 30
Ha : u > 30 ( claim )
95% confidence interval for mean SPF level ( df = 51 )
= mean value ± [tex](2.0076 + \frac{20.12}{\sqrt{52} } )[/tex]
95% confidence interval = ( 28.9485, 40.1515 )
we cannot reject H0
A golf ball is hit on the moon so that
the height of the ball (in feet) is modeled by the
function h(x)=-2.7t^2+21.6t after t seconds.
The ball will land in t = ? seconds
Answers
I am just not sure if I did this properly. My professor hasn't really gone over when to use the range equation but I would assume range would equal the distance traveled therefore can be used for this problem. If not the how would I go about solving this? I did 1/6*9.8=1.63 for g on the moon Then used R=(Vi^2sin2theta)/g so on the moon R=((28^2)sin2*35)/1.63=452m
Please Brainliest..? thx
Please help AND SHOW ALL THE WORK
Answers
Answer:
oh heyyy this is the same problem ok im gonna answer it the same way lol
the set of all numbers less than or equal to -6 or greater than it equal to -2
Answers
Answer:
Step-by-step explanation:
-6 ≥ x
-2 ≤ x
I don't think you can combine this into one statement.
Your line looks something like
<---------------O O------------------------->
-6 -2
Shade in the 2 Os. The shaded in Os are included in the way the line looks.
1 point
"rancis heard that a car stereo system was on sale for 30% off. If the sale price was $57.75, what was the original price of the stereo?
TE
T
Answers
2. Which ratio is equivalent to 5/8?
A: 9/12
B: 10/15
C: 15/24
D: 20/35
Answers
8 times 3 is 24 and 5 times 3 is 15.
Evaluate 12.7 - x for x= 8.41
Answers
Answer:
x=
10
429
≈2.071231518
x=−
10
429
≈−2.071231518
Step-by-step explanation:
12.7−xx=8.41
Multiply x and x to get x
2
.
12.7−x
2
=8.41
Subtract 12.7 from both sides.
−x
2
=8.41−12.7
Subtract 12.7 from 8.41 to get −4.29.
−x
2
=−4.29
Divide both sides by −1.
x
2
=
−1
−4.29
Expand
−1
−4.29
≈4.29 by multiplying both numerator and the denominator by 100.
x
2
=
−100
−429
Fraction
−100
−429
≈4.29 can be simplified to
100
429
=4.29 by removing the negative sign from both the numerator and the denominator.
x
2
=
100
429
Take the square root of both sides of the equation.
x=
10
429
x=−
10
429
Answer:
4.29 :)
Step-by-step explanation: