What are the statements and reasons for this problems.
Anything helps! Thank you :)
Answers
From the congruency of triangles we can prove,
A: D is the midpoint of AC,
B: Measure of ∠D = ∠E,
C: BD bisect the angle ABC.
What are congruent triangles?Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.
Given BD bisect ∠ABC
AB ≅ CB
from the figure, AB = CB
since BD bisects ∠ABC
∠1 = ∠2
and BD = BD (common side)
from SAS property,
ΔABD ≅ ΔCBD
Triangles can be shown to be congruent after which the final dimension can be anticipated without actually measuring the triangle's sides and angles.
from CPCT, AD = CD
since AD = CD so D should be the midpoint of AC.
B: Given B is the midpoint of AC,
AB = CB
and BD ║ AE,
so ∠1 and ∠2 are equal due to corresponding angles between parallel lines,
∠1 = ∠2
BD = AE
ΔABE ≅ ΔCBD
from CPCT, ∠D = ∠E
C: Given ∠A and ∠C are right angles,
∠A = ∠C = 90°
AD = CD
BD = BD (common side and hypotenuse of a right triangle)
from RHS property ΔABD ≅ ΔCBD
from CPCT, ∠ABD = ∠CBD
since both angles are equal so BD is the angle bisector.
Hence all the statements are proved by the congruency of triangles.
Learn more about congruent triangles;
https://brainly.com/question/22062407
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Related Questions
a shopper pays $45 for 3 packs of t shirts. if each pack costs the same amount and contains 5 tshirts what is the cost per t shirt
A: $3
B: $6
C: $8
D: $9
Answers
Answer:
$3
Step-by-step explanation:
45/3=15
15/5=3
A train travels at a speed of 65 miles per hour. How long did it take the train to travel 227.5 miles?
Answers
Answer:
3.5 hours
Step-by-step explanation:
227.5÷65=3.5
Subtract: (x^2+ 5x – 4) - (6x2 – 7)
Will give brainliest
Answers
Answer:
x^2+5x-9
Step-by-step explanation:
First multiply 6x2 because that's a number that isn't solved in the parenthesis.
(x^2+5x-4) - (12-7)
Then you subtract 12-7 which equals 5.
(x^2+5x-4)-(5)
You now take the parenthesis off
x^2+5x-4-5
-4-5 equals -9
Now you get the answer: x^2+5x-9
Answer:
-5x² + 5x + 3
Step-by-step explanation:
An underground aquifer near Seiling, Oklahoma, sits on an impermeable layer of limestone. West of Seiling the limestone layer is thought to slope downward in a straight line. In order to map the limestone layer, hydrologists started at Seiling heading west and drilled sample wells. Two miles west of Seiling the limestone layer was found at a depth of 220 feet. Three miles west of Seiling the limestone layer was found at a depth of 270 feet
(a) What would you expect to be the depth of the limestone layer 5 miles west of Seiling
(b) You want to drill a well down to the limestone layer as far west from Seiling as you can. Your budget will allow you to drill a well that is 275 feet deep. How far west of Seiling can you go to drill the well? (Round your answer to one decimal place.)
Answers
Answer:
(A) 490ft.
(B) 2.8 miles
Step-by-step explanation:
Important points to note:
- The limestone layer is thought or assumed to slope downward in a straight line.
- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.
- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.
(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?
The expected depth of the limestone layer is:
2 miles + 3 miles = 5 miles
220ft + 270ft = 490ft
(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?
If 490ft ~ 5 miles
then 275ft ~ K miles
K = [275 x 5] / 490 = 2.80612245 miles
Rounding to 1 decimal place, the distance is 2.8 miles.
I NEED HELP ASAP. BRANLIEST TO BEST AND FASTEST!!!!!
a softball team has a budget of 200$ for visors. An athletic director pays $90 for 12 sun visors for the softball team. is there enough money in the budget to buy 15 more sun visors?
Answers
Answer:
No
Step-by-step explanation:
So if the director paid $90 for 12 visors, we need to find how much one cost so 90/12 = 7.5
Then to find the cost of 15 visors, multiply 7.5 by 15 to get 112.5
now add 112.5 to 90 to see if it stays within the budget of $200, 112.5 + 90 = 202.5, so NO there is not enough money in the budget to buy 15 more sun visors.
PLEASE HELP ASAP I WILL GIVE YOU BRAINIEST!! Marcus is 14 years younger than twice Kimi's age. Marcus is 8 years old. How old is Kimi?
Answers
Answer: kimi is 22
Step-by-step explanation:
Answer:
Kimi is 11 years old
Step-by-step explanation:
We can read 'twice Kimi's age' as Kimi's age times 2 and
'14 years younger' as minus 14.
Our equation is
2(Kimi's age)-14= Marcus' age
Since Marcus is 8:
2(Kimi's age)-14= 8
Now we manipulate the equation so that it equals Kimi's age. Remember that whatever we do to the right side, we also do to the left.
First we add 14 to both sides
2(Kimi's age)-14(+14)= 8(+14)
2(Kimi's age)= 22
Then we divide by 2
2(Kimi's age)/2= 22/2
Kimi's age=11
Usually we would us X to represent our unknown, Kimi's age, but I left it as Kimi's age so that it is easier to follow.
Russ walks
7
10
mile to school.
How far has he walked when he has covered
5
8
of the distance to school?
Answers
Answer:
If he walks 7/10 miles to school, and you want to find 5/8 of that distance, you have to multiply the 2 fractions together. So he has walked 7/16 miles when he has covered 5/8 of the distance to school. thank me later
La entrada al zoológico cuesta 3.341 ¿cuánto cuesta la entrada para un grupo de 75 niños?
Answers
Answer:
250.575
Step-by-step explanation:
3.341 * 75 = 250.575
How do I solve x, y, z?
Answers
Answer:
z=[tex]\sqrt{14^{2} -5^{2} }[/tex]
z=13.08
(5)[tex]\sqrt{171}[/tex]=14x
x=4.67
y=[tex]\sqrt{5^{2} -4.67^{2} }[/tex]
y=1.79
if it helps, please give me brainliest
*) Simplify the second expression
2(2m + 2) + m.
2(2m + 2) + m =
m +
?
Answers
Answer:
5m + 4
Step-by-step explanation:
First, use the distributive property to open the parentheses.
2(2m + 2) + m = _m + 4
4m + 4 + m = _m + 4
Simplifiy:
5m + 4
Hope this helps!
Answer:
5m+4
Step-by-step explanation:
open up the bracket
that will be 4m+4+m (since 4m and m are alike we can add them together)
5m+4
if this helped please give me brainlest
Can someone help me with these 4 problems A B C D zoom in if needed this is urgent
Answers
Answer:
A is 13
B is 5
C is 0.25
And D is 4.58 or 4.6
Good Luck!
Answer:
A) 0.2 + 7.9 + 3.8 + 1.1 = 13
B) -5.6 + 5 + 4.6 + 1 = 5
C) 3 1/6 - 4 3/4 + 1 5/6 = 1/4
D) 2 1/12 + 3 1/6 - 1 1/12 = 4 1/6
Step-by-step explanation:
A) 0.2 + 3.8 = 4... 7.9 + 1.1 = 9... 4 + 9 = 13
B) 4.6 + 1 = 5.6... 5.6 - 5.6 = 0... 0 + 5 = 5
C) 3 1/6 + 1 5/6 = 5. 5 - 4 3/4 = 1/4
D) 2 1/12 - 1 1/12 = 1. 1 + 3 1/6 = 4 1/6
A photograph is in the shape of a rectangle. It has a Iength of (x + 2) inches and a width of (x -2) inches. What is the area of the photograph?
Answers
Answer:
The area of the photograph is: [tex]A=x^2-4[/tex]
Step-by-step explanation:
Given
The length of rectangular photograph = [tex]l[/tex] = (x + 2) inches
The width of rectangular photograph = [tex]w[/tex] = (x - 2) inches
To determine
The area of the photograph
Important Tip:
Given that the photograph is in the shape of a rectangle. Thus, we can use the formula involving the area of a rectangle to determine the area of a photograph.
The Area of the photograph can be determined using the formula
[tex]A = wl[/tex]
where
[tex]A[/tex] is the area[tex]l[/tex] is the length[tex]w[/tex] is the widthnow substituting [tex]l = (x + 2)[/tex] and [tex]w = (x-2)[/tex] in the formula
[tex]A = wl[/tex]
[tex]A = (x-2) (x+2)[/tex]
Apply Difference of Two Squares Formula: [tex]\left(a-b\right)\left(a+b\right)=a^2-b^2[/tex]
[tex]A=x^2-2^2[/tex] ∵ [tex]a=x,\:b=2[/tex]
[tex]A=x^2-4[/tex] ∵ [tex]2^2=4[/tex]
Therefore, the area of the photograph is: [tex]A=x^2-4[/tex]
Divide. Then, check your work with multiplication. 12.21 / 11
Answers
Answer:
1.11
Step-by-step explanation:
Answer:
1.11
Step-by-step explanation:
12.21/11 is equal to 1.11
to check with multiplication, 1.11*11 = 12.21
find the area of given figure
Answers
Answer:
hope it helped have a good day mate
Which is the equation of a line that has a slope of -7 and a y-intercept of 2?
Answers
Answer:
y = -7x + 2
Step-by-step explanation:
in the general equation y = ax + b, a is the slope and b is the y coordinate of the y intercept.
Answer:
y=-7x+2
Step-by-step explanation:
The equation is represented by y=mx+b where m is slope and b is the y-intercept.
- 3x + 5y = -2
2x - 2y = 1
Solve by elem inaction
Answers
Answer:
x=1/4 , y=-1/4. You can confirm this by substituting the numbers in.
Step-by-step explanation:
el resultado de 20+(-60)-40-20es
Answers
Answer:
140 by the number like I know this
Step-by-step explanation:
I did the test
Help Me Please I am Stuck
Answers
Step-by-step explanation:
there's the answer and if so please give me brainliest answer I need 4 more
Answer:
4/5 - 1/8 = 27/40
so C is 27/40
Step-by-step explanation:
1.) Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000 * (0.98) ^ x represents the value, y of one account that was left inactive for a period of x years .
a. What was the initial amount of money that was left in this savings account?
b. What is the percent of change each year in this savings account?
Answers
Answer:
a. The initial amount of money that was left in this savings account was of 5000.
b. Decrease of 2% each year.
Step-by-step explanation:
Exponential function:
An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In this question, we have:
[tex]y = 5000*(0.98)^x[/tex]
a. What was the initial amount of money that was left in this savings account?
This is y(0) = 5000
The initial amount of money that was left in this savings account was of 5000.
b. What is the percent of change each year in this savings account?
First as a decimal.
1 - r = 0.98
r = 1 - 0.98
r = 0.02
So a decrease of 2% each year.
Fill in the blank to make the two fractions equivalent.
4/7 = ?/28
Answers
Answer:
16
Step-by-step explanation:
28/7 = 4
4 x 4 = 16
16/28 = 4/7
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1+1
Answers
Answer:
1+1=2
Step-by-step explanation:
if you have 1 apple and then your friend gave you another apple now you have 2 apples
Enter the unknown value that makes this statement true.
35 is % of 70
Answers
Answer:
Step-by-step explanation:
35 = x% of 70
35 = 1/2 of 70
x% = 50%
x = 50
find the image of (-4,2) obtained by translating 3 units up, followed by a reflexion over the x axis
Answers
Answer:
(-4,-5)
Step-by-step explanation:
1. Image is the points after the transformation
2. Pre-Image is the original points
3. our x value is left to right and our y value is up and down (x,y)
4. Our points are (-4,2)
5. They first want us to translate three units up, so we add to our y value (y is up and down)
6. 2+3 = 5
7. Our new points are (-4,5)
6. Now we are asked to reflect over the x axis. Remember their are a lot of rules concerning reflections. For a reflection across x-axis our equation is this : (x,y) → (x,-y)
7. (-4,5) → (-4,-5)
8. (-4,-5) is our answer
Find the midpoint of the line segment with the endpoints (-6,-8) and (-2,-6)
Answers
Answer: (-4,-7)
Step-by-step explanation:
The Midpiont formale is in the picture and add -6 with -2 and add -8 with -6.
-6 + -2 = -8
-8+-6=-14
-8 divided 2 = -4
-14 divided 2 = -7
(-4,-7)
please answer this
Answers
Answer:idl
Step-by-step explanation:
rjrng
+30-1
=29//
Answer=29
Hope this helps pal
Please mark me brainliest =)
you want branliest.more branliest giving out
Answers
Answer:
that is a cute dog
Step-by-step explanation:
1. very fluffy
2. small
3. sleeping
4. teddy bear dog :D
what is 893 :9 in long division
Answers
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Be sure to show your answer and work using a coordinate plane.
Answers
Answer:
see the attached and refer to
https://brainly.com/question/21466495
Hi!
The measure of an angle is 12°. What is the measure of its supplement?
Thank you!!
Answers
180-12=168
Step-by-step explanation:
12° + x° = 90°
x. = 90 - 12
x =78°
According to the National Beer Wholesalers Association, U.S. consumers years and older consumed gallons of beer and cider per person during . A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers years and older in Milwaukee will be taken, and the sample mean beer and cider consumption will be used to test the following null and alternative hypotheses:_______.
H0 : µ ≤ 26.9
Ha : µ > 26.9
a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?b. What is the Type I error in this situation? What are the consequences of making this error?c. What is the Type II error in this situation? What are the consequences of making this error?
Answers
Step-by-step explanation:
H0 : µ ≤ 26.9
Ha : µ > 26.9
a. since the null hypothesis is rejected, we would accept the alternative hypothesis and come to the conclusion that there is enough evidence that beer and cider consumption are higher than 26.9 in the city.
b. type 1 error happens when we reject a true null hypothesis.
this error error in this question would be that our conclusion that beer and cider consumption is greater than 26.9 is not true. what is true is that it is equal to or less than 26.9.
the consequence is that is h0 is false it would be harder to reject it at a lower level of significance.
c. type ii error happens when the null hypothesis is accepted even though it is false. here, error would be that cider we accepted that cider and beer consumption is less than or equal to 26.9 when it is actually greater than 26.9
the consequence is that it would be harder to accept a true h0 at a high level of significance