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
Ok last question its very "hard" mods don't delete
what is 3x+12= 42
Answer:
x is 10.
Step-by-step explanation:
3x + 12 = 42
Subtract 12 from both sides
3x = 42 - 12
Subtract 12 from 42 to get 30
3x = 30
Divide both sides by 3
x = 30/3
Divide 30 by 3 to get 10
x = 10
Find the composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 – 3.
Answer:
Step-by-step explanation:
(f∘g)(x) = f(g(x))
= f(x²-3)
= 2(x²-3) + 1
= 2x² - 5
(f∘g)(-2) = 2(-2)² - 5
= 2·4 - 5
= 8 - 5
= 3
The composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 – 3 will be 3
What is composition of a function ?
The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.
The notation used for composition is: (f o g)(x) = f(g(x))
(fog)(x) = f(g(x))
this implies , (fog)(-2) = f(g(2))
given :
f(x) = 2x + 1
g(x) = x2 – 3
(fog)(x) = f(g(x)) = f(x^2 - 3)
= 2 (x^2 -3) +1
= 2x^2 - 5 equation 1
fog(-2) = f(g(2))
substituting the value of x = 2 in equation 2
= 2 * (2)^2 -5
= 3
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Triangle similarity-
Solve for x!!!
Please help!
Answer: im thinking it is 5 but i could be totally wrong. im not the smartest lol
Step-by-step explanation:
Move values to the lines to complete the sentence about triangle p’ q’ r’
please answer these questions
14 is whatpercent of 25
Answer: the answer is 56
Hope this Help
Step-by-step explanation:
100%= 25
X%= 14
100%=25(1)
X% = 14(2)
100%/x% = 25/14
X%/ 100% = 14/25
X=56%
What is the value of A when we rewrite
(1/7)^x-2 - (1/7) ^x as A x (1/7)^x
Answer:
48
Step-by-step explanation:
Khan Academy
The value of [A] will be 48.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that we have rewritten -
(1/7)ˣ ⁻ ² - (1/7)ˣ as [A] x (1/7)ˣ
We have (1/7)ˣ ⁻ ² - (1/7)ˣ rewritten as [A] x (1/7)ˣ. So, we can write -
(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.
Now, we can write [(1/7)ˣ ⁻ ² - (1/7)ˣ] as :
[(1/7)ˣ / (1/7)²] - (1/7)ˣ
(1/7)ˣ [1/(1/7)² - 1]
We have -
(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.
So, we can write -
(1/7)ˣ × [1/(1/7)² - 1] = [A] × (1/7)ˣ.
On comparing, we get -
[A] = [1/(1/7)² - 1]
[A] = 48
Therefore, the value of [A] will be 48.
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In your own words what is the definition of reflection (in geometry)
Answer:
a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip
Step-by-step explanation:
You are building a door frame. The two sides are parallel and the top and bottom are also parallel. Which additional statement(s) give enough information to conclude that the door frame forms a rectangle?
Answer:
you would take away the bottom
Step-by-step explanation:
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
Work out the total cost, in pounds, of the flights, the apartment and the car hire.
Which relationship describe angles 1 and 2
Vertical angles
Adjacent angles
Supplementary angles
Complementary angles
True or false A graph that shows distance per unit of time shows speed. _________
The cross country team practices by jogging on
the town’s streets. The average jogging rate
is 6 mi
les per hour. One member jogged for
3.5 hours one weekend. How many mi
les did
the team member jog?
Write a story that could represent this math problem.
can someone help I will give the brainliest Plz help u will get 50 points
Answer:
B.) 6
2.) 70
3.) 56
Step-by-step explanation:
B.) 2(6) - 6
= 12 - 6
=6
2.) 7(2(3)+4)
=7(6+4)
=42+28
=70
3.) 10(3) + 4(3) + 14
= 30 + 12 + 14
= 42+14
=56
Have a wonderful day
:)
Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain
Answer: She has enough.
Step-by-step explanation:
You need to add up the quantities of water needed first. That will then tell if she has enough water.
Convert the fractions to decimals then add them up:
3/8 = 0.375
1/4 = 0.25
= 0.25 + 0.375
= 0.625 cups of water is required.
This is less than the 1 cup she has so she has enough water to make the snack.
plz help this is what might get m to a 100 so plz help me
Answer:
I'd say it's the first dot in from the left (close to 2.4)
Step-by-step explanation:
the square root of 6 is 2.4494, and that's very close to 2.4
Given the set of ordered pairs: {(1,3), (2,7), (x,5), (6,4)}.
What is a value for x that would NOT make the set a function? Explain why.
Answer:
2
Step-by-step explanation:
2 is a value of x that would not make the set a function because a function can't have multiple coordinates wit hthe same domain (x-coordinate). 2 is a domain that has already been used in the point (2,7). If this is used in (x,5), the point would become (2,5) and repeat a domain.
Note:
The x-coordinate could also be 1 or 6 because they have been used as domains as well.
Hope it helps!
Yolanda bought 4 pounds of potatoes how many ounces of potatoes did yolanda buy?
Answer:
D. 64 oz.
Step-by-step explanation:
There are 16 ounces in a pound. So multiply 4 x 16 to get 64 ounces.
Hope it helps!
Answer:
64
Step-by-step explanation:
well. there’s 16 oz in a pound. so if there’s 4 pounds then take 16 x 4 which is 64
she bought 64 oz of potatoes
Which of the following is a polynomial?
Answer:
A. 3x^2+6x is a polynomial
What is the correct factorisation of?
X^2+6x+8
Answer:
Step-by-step explanation:
Given that: x
2
+6x+8
=x
2
+4x+2x+8, (split middle term)
=(x
2
+4x)+(2x+8), (group pair of terms)
=x(x+4)+2(x+4), (factor each binomials)
=(x+4)(x+2), (factor out common factor (x+4)
Hence factors of x
2
+6x+8 are (x+4)(x+2)
Find the slope of the line segment.
Answer:
Option 3
Step-by-step explanation:
-2/3 since the line is a total of 3 the 2 is negative which would make it the answer meaning that is the only negative option.
170 in ratio of 9:8 sorry I’m not to good at math
Answer:
if 170 is subbed for 9, then the answer is 151.111111111(continued) and if its in the 8, then the answer is 191.25
Step-by-step explanation:
hope this helps
PLEASEEEE HELPPPPPP!!!
Answer:
18
Step-by-step explanation:
A bag contains pennies, nickels, dimes and quarters. There are 50 coins in all. Of the coins 16% are pennies and 42% are dimes. There are 5 more nickels then pennies. How much does the bag contain
Answer: 21 Nickels
21 dimes
8 pennies
Step-by-step explanation:
T= 3x + 4y
Toe ons
(a) Work out the value of I when x = 5 and y=-7
Note: Consider the dependent variable is T instead of I, and we need to find the value of T when x=5 and y=-7.
Given:
[tex]T=3x+4y[/tex]
To find:
The value of T when x=5 and y=-7.
Solution:
We have,
[tex]T=3x+4y[/tex]
Putting x=5 and y=-7, we get
[tex]T=3(5)+4(-7)[/tex]
[tex]T=15-28[/tex]
[tex]T=-13[/tex]
Therefore, the value of T is -13 when x=5 and y=-7.
Solve the system using substitution.
Y-2x=3
3x – 2y=5
A.(-1/2,2)
B. (2,7)
C. (-8,-13)
D. (-11,-19)
plzzz help me yall due soon
Answer:
the answer is d ur welcome.
Use the distributive property to write (−1)( + 3) as an equivalent expression.
Answer:
-3
Step-by-step explanation:
- times + is equal to -
SOMEONE PLEASE HELP ME WITH THIS QUESTION!
Answer:
i dont know but i have a pic for u
Step-by-step explanation: