BE and CE are twoequal alltitudes of triangle ABC using RHS congurence rule prove that triangle ABC is isoloes
Answers
Answer:
The answer is below
Step-by-step explanation:
BE and CF are two equal altitudes of triangle ABC using RHS congruence rule prove that triangle ABC is isosceles.
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.
The RHS congruence rule states that if the hypotenuse and one leg of one triangle is equal to the hypotenuse and leg of another triangle; then the two triangles are equal. Two triangles are equal if they have three equal angles and three equal sides.
We have right angle triangles BEC and BFC
BE = CF (given)
CB = BC (both triangles have the same hypotenuse)
Hence ΔBEC = ΔBFC (RHS congruence rule)
Therefore; ∠BCE = ∠FBC (congruence theorem)
Since two angles of triangle ABC are equal (∠B = ∠C), therefore triangle ABC is an isosceles triangle and AB = AC
Related Questions
If AB = 8x + 5, CB = 10x - 1, and BD AC, solve for x. (picture included, please help, no need to show work)
Answers
x = 3
Step-by-step explanation:
AB = CB
8x + 5 = 10x - 1
8x - 10x = -1 - 5
-2x = -6
x = 3
(Please heart and rate if you find it helpful, it's a motivation for me to help more people)
Express 5/9 as a recurring decimal
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Answer:
the answer is 0.55555555555
Answer:
0.5 with a "_" on top of the 5
Step-by-step explanation:
Please help will give Brain
Answers
Step-by-step explanation:
AB=DC
-x+6 = 3x-14
4x= 20
x= 5
AB=1
DC=1
Iris found a value of 1
64
when she evaluated an expression.
Answers
Answer: Options A. 2^-6 and C. 4^-3 are equivalent to 1/64
Step-by-step explanation: hope this helps :D
Answer:
A. 2 -6 and C. 4 -3
Step-by-step explanation:
Two gears have a ratio of 8:3.
If the smaller gear has 24 teeth
how many teeth does the larger
gear have?
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Step-by-step explanation:
768775567iooi888776432
I need help plz help!
Answers
Answer:
bad quality man im sorry
Step-by-step explanation:
someone pls help mee with this question:) if you do tysm<33
Answers
Answer:
w = 35
Step-by-step explanation:
The angle adjacent to 125° is
180° - 125° = 55°
The 3 angles on the straight line sum to 180° , that is
90 + w + 55 = 180
w + 145 = 180 ( subtract 145 from both sides )
w = 35
please quickly and correctly solve the question in the image below.
Answers
Answer:
step 2
Step-by-step explanation:
he was not supposed to multiply by x
he was supposed to combine like terms
add -2x and 4x and add 6 and 5
Answer:
So he messed up on step 2
Step-by-step explanation:
PLZZZ HELP I WILL GIVE BRIANLY
What is the equation of the additive relationship represented by this table?
Enter your answer by filling in the box using an integer.
x y
9 5
12 8
Answers
Answer:
x-4=y
Step-by-step explanation:
9-4=5
12-4=8
Answer:
9,5
step-by-step explanation:
An angle measures 150°. What is the measure of its supplement?
Answers
Answer:
The supplement is = 180-150 i.e30
Step-by-step explanation:
Let the another Angle be x then
x + 150° = 180° {being supplementary angles }
x = 180° - 150°
x = 30°
Hope it will help :)
Hello!! I have a question, can you please answer it. ^^
The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges.
All the kits must have the same number of each supply, and all supplies must be used.
a. What is the largest number of kits the nurse can make?
b. How many bandages and lozenges will be in each kit?
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Answer:
1. 75
2. 1
Step-by-step explanation:
Please help me!!....
Answers
Given:
The parent function is
[tex]f(x)=x^2[/tex]
The graphs of f(x) and g(x) are given.
To find:
The function g(x).
Solution:
From the given graph it is clear that the graph of f(x) is reflected over the x-axis and shifted 3 units down to get the graph of g(x).
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (1)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k. If k<0, then the graph of f(x) reflected over the x-axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From the given graph it is clear that the graph of f(x) is reflected over the x-axis and shifted 3 units down to get the graph of g(x). So, k=-1, a=0 and b=-3.
[tex]g(x)=(-1)f(x+0)+(-3)[/tex]
[tex]g(x)=-f(x)-3[/tex]
[tex]g(x)=-x^2-3[/tex] [tex][\because f(x)=x^2][/tex]
Therefore, the required function is [tex]g(x)=-x^2-3[/tex]. So, the correct option is B.
(8x^2 + 4x - 6x^2)2 + 7x^2 - 2x
ALgebra
Only nerds can solve this
Answers
Answer:
11x2+6x
Step-by-step explanation:
Answer: its either 21x^2 +2x or 11x^2-6x Im not sure which one is solved correctly :/
Step-by-step explanation:
8x^2+4x-6x^2+2+7x^2-2x
21x^2 +2x
or
(8x^2+4x-6x2)2+7x^2-2x
-12x^2+8x+16x^2+7x^2-2x
11x^2-6x
Find the value of x in the following proportion:
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Answer:
12
Step-by-step explanation:
HELP PLEASE I REALLY NEED IT I WILL GIVE YOU A BRAINLEIST
Answers
Answer:445.05 commission is for the first question
Step-by-step explanation:7.5% to the sending question. I will only give half ok hope I helped
SORRY MY ANSWER WAS WRONG I HAD TO DELETE AND WRITE THIS INSTEAD PLEASE REMOVE MY POINTS
Tom received 55 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 10 dollars left over, how much did he spent on the baseball gear ?
Answers
Answer:
$45
Step-by-step explanation:
Given that :
Amount collected = $55
Amount left after purchasing sporting gear = $10
The cost of sorting gear:
Amount collected - amount left after purchase
$55 - $10 = $45
6. Draw the graph of the linear equation 3x - y = 3. Hence find the
coordinates of the point where the graph intersects y-axis.
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Answer:
(0,-3)
Step-by-step explanation:
prove that parallelogram circumscribing a circle is a rhombus
Answers
Answer:
Answer:
Step-by-step explanation:
I hope it's helpful!
F(x)=5x-3 g(x)=[tex]x^{2}[/tex]
find fg (-2)
PLS help
MATH MATH MATH math MATH math
Answers
Answer:5 x 2 - 3g
Step-by-step explanation: Substitute the given value into the function and evaluate.
Answer:
5 x 2 - 3g
Step-by-step explanation:
A store owner notes that 1 out of 4 customers do not make a purchase. How many customers need to come into the store in order for the owner to make 85 sales?
Answers
Answer:
340 customers.
Step-by-step explanation:
1 out of 4 = 25% purchase rate
85 × 4 = 340
To check our work:
25% of 340 = 0.25 × 340 = 85
The price of a pair of jeans increases from £45.00 to £47.50.
What is the percentage increase in the price of the jeans?
Give your answer correct to 1 decimal place.
Answers
Help me it’s urgent please
Answers
At the school election there were three candidates. Isabella got 40 votes, Amelia got 60 votes and Mason got ⅓ of the votes. How many people voted in the election?
Answers
Answer: 150 people voted in the election.
Step-by-step explanation:
Let x = Total number of votes.
Mason got [tex]\dfrac{x}{3}[/tex] votes.
Isabella got 40 votes, Amelia got 60 votes.
Then,
Combined votes = [tex]40+60+\dfrac{x}{3}=x[/tex]
[tex]100=x-\dfrac{x}{3}\\\\100=\dfrac23x\\\\ x=100\times\dfrac32\\\\ x=50\times3\\\\ x=150[/tex]
Hence, 150 people voted in the election.
Ella wants to buy apples and strawberries to make a fruit tart. Apples cost 3.50 per pound and strawberries cost 3.75 per pound. How many pounds of fruit does she buy if she buys 0.5 pounds of apples and 1.5 pounds of strawberries? How many pounds of fruit does she buy if she buys x pounds of apples and y pounds of strawberries?
Answers
Answer:
2 pounds of fruit
x+y pounds of fruits
Step-by-step explanation:
The first questions asks for total amount of fruit she bought. Before that, it stated, she bought .5 pound and 1.5 pounds of apples and strawberries. The equation would be 1.5+.5= 2. The next question is asking for the total amount of fruits if X was total pounds of apples while Y was total pound of strawberry. It is again asking for the total amount so the equation would be x+y= total.
Jillian has a total debt of $36. She is trying to pay back $4 each week for the next 4 weeks. If Jillian is successful, which amount will represent the change in the amount of her debt?
-$8
-$12
-$16
-$20
Answers
Answer: $8
Step-by-step explanation:
Total Debt : $36
Every Week Paying Back: $4
So in 4 weeks so earns a total of $28 to pay back.
36 - 28 = 8
$8 is left to pay
----
so the answer is $8
Find the volume of each cylinder. (use nr = 3.14)
Answers
Answer:
V = 8591.04 ft³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder: V = πr²h
V is volumer is radiush is heightStep-by-step explanation:
Step 1: Identify
Radius r = 12 ft
Height h = 19 ft
Step 2: Find Volume
Substitute in variables [Volume of Cylinder]: V = π(12 ft)²(19 ft)Evaluate exponents: V = π(144 ft²)(19 ft)Multiply: V = 2736π ft³Substitute π: V = 2736(3.14) ft³Multiply: V = 8591.04 ft³I’m desperate Please help don’t answer if you don’t know
Answers
Answer:
I'm pretty sure the equation would be b=4×12, the answer would be b=$48.00
Step-by-step explanation:
find the number that makes the ratio equivalent to 1:8
Answers
Divide any number by 9. Then then ur answer times 1 then times 8.
Example 9:9=1 1 and 8
36:9=4. 4 and 32
Chad is making an orange smoothie. The recipe calls for 3 parts frozen yogurt to 5 parts orange juice. How many ounces of orange juice does he need to get a total of 16 ounces?
Answers
Answer:
8
Step-by-step explanation:
If you add 5 and 3 then subtract the answer from 16 you get 8
Which of the following coordinates are exactly 5 units from (2, -1)? Select all that apply.
(3, 4)
(5, 3)
(-2, 2)
(-3, -1)
20 Brainly points!
Answers
Answer:
-3-1
Step-by-step explanation: