Need help for Geometry
Given :
segment AB = segment DEsegment BC = segment EFsegment AC = segment DFSince all sides are equal triangle ABC is congruent to triangle DEF under the SSS congruence criterion.
m∠B = (92+y)°
m∠E = (6y-28)°
We know that :
angle B = angle EWhich means :
[tex] = \tt92 + y = 6y - 28[/tex]
[tex] =\tt 92 = 6y - 28 - y[/tex]
[tex] =\tt 92 = 5y - 28[/tex]
[tex] = \tt92 + 28 = 5y[/tex]
[tex] = \tt120 = 5y[/tex]
[tex] =\tt y = \frac{120}{5} [/tex]
[tex] =\tt y = 24[/tex]
Thus, the value of y = 24
Then :
angle B :
[tex] =\tt 92 + y[/tex]
[tex] =\tt 92 + 24[/tex]
[tex] = \tt116[/tex]
Thus, the measure of angle B = 116
angle E :
[tex] = \tt6y - 28[/tex]
[tex] =\tt 6 \times 24 - 28[/tex]
[tex] =\tt 144 - 28[/tex]
[tex] =\tt 116[/tex]
Thus, the measure of angle E = 116
Since the measure of both these angles is equal we can conclude that we have found out their correct measures.
measure of segment AC = 2x + 47
Measure of segment DF = 6x + 3
Segment AC = Segment EFWhich means :
[tex] = \tt6x + 3 = 2x + 47[/tex]
[tex] = \tt6x + 3 - 2x = 47[/tex]
[tex] = \tt4x + 3 = 47[/tex]
[tex] \tt4x = 47 - 3 \\ 4x = 44[/tex]
[tex] =\tt x = \frac{44}{4} [/tex]
[tex] =\tt x = 11[/tex]
Thus, the value of x = 11
Let us check whether or not we have found out the correct value of x by placing 11 in the place of x :
[tex] = \tt6 \times 11 + 3 = 11 \times 2 + 47[/tex]
[tex] =\tt 66 + 3 = 22 + 47[/tex]
[tex] =\tt 69 = 69[/tex]
m∠B = 69°m∠C = 69°Therefore, the value of x = 11f(x)=x^2+3x-5. find and simplify f(x+h)-f(x)
Answer:
[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 + 3x - 5[/tex]
Required
Find f(x + h) - f(x)
In functions:
[tex]f(x + h) = f(x) + f(h)[/tex]
So:
[tex]f(x + h) - f(x) = f(x) + f(h) - f(x)[/tex]
Collect Like Terms
[tex]f(x + h) - f(x) = f(x) - f(x)+ f(h)[/tex]
[tex]f(x + h) - f(x) = f(h)[/tex]
Solving for f(h)
[tex]f(h) = h^2 + 3h - 5[/tex]
So:
[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]
Help me please. Not much I understand here. Please guys?
Answer:
50.2cm
Step-by-step explanation:
16/sin(65)=17.65 (2 of those)
16/tan(65)=7.46 (base)
17.65+17.65+7.46=50.23
help asap please i will give you a heart
Answer:
32.4
Step-by-step explanation:
i knoiw it
HELP ASAP PLS! The ratio of bows to headbands of Monique’s hair accessories is 8:4. Select all true statements.
A. For every 8 hair accessories, 4 are bows.
B. For every 8 bows, there are 4 headbands.
C. For every 8 headbands, there are 4 bows.
D. For every 8 hair accessories, 4 are headbands.
E. For every 12 hair accessories, 4 are headbands.
The perimeter of the triangle below is 42 units.
x + 5
Х
x+7
What is the value of x?
Answer:
x + 5+x+7+Х=42units
3x=42-12
x=30/3
x=10
What is the value of x in the solution to this system of equations?
X-y=6
y=2x-5
A 1
B-1
C3
D-7
Answer:
B) -1
The 'x' value =-1 and y =-7
The solution of the given system of equations
(-1,-7)
Step-by-step explanation:
Step(i)
Given that the system of equations
x-y = 6 ..(i)
y = 2x -5 ..(ii)
By using substitution method,
substitute y=2x-5 in equation (i) , we get
x -(2x-5) =6
x -2x+5 =6
-x = 6-5
-x =1
x=-1
Step(ii):-
Put x=-1 in equation (ii) , we get
y = 2(-1) -5 = -2-5 =-7
The solution of the given system of equations
(-1,-7)
Answer:
Step-by-step explanation:
B) -1
The 'x' value =-1 and y =-7
The solution of the given system of equations
(-1,-7)
Step-by-step explanation:
Step(i)
Given that the system of equations
x-y = 6 ..(i)
y = 2x -5 ..(ii)
By using substitution method,
substitute y=2x-5 in equation (i) , we get
x -(2x-5) =6
x -2x+5 =6
-x = 6-5
-x =1
x=-1
Step(ii):-
Put x=-1 in equation (ii) , we get
y = 2(-1) -5 = -2-5 =-7
The solution of the given system of equations
(-1,-7)
find the area of the figure
Answer:
30 units
Step-by-step explanation:
The formula for finding the area of a triangle is 1/2b x h
So b = 12
and h = 5
1/2(12) = 6
6 x 5 = 30
I could be wrong here so
Here's a little tip:
I can tell you're using G.oogle Forms, so you can press ctrl + U and find the answers in the code
Convert 2.235 to the simplest fraction
Answer:
2 47/200
I don't know if is right, but that's what I got.
original price is 45 and the new price is 56 what is the percent change
Answer:
podés hacerlo de varias formas cra
PLEASE HELP ME IN ONE MINUTE
Answer: B
Step-by-step explanation:
There are 2 white chocolates for every plain chocolate in a box of chocolates.
There are no chocolates of any other colour in the box.
There are 10 plain chocolates in the box.
How many chocolates are there in the box altogether?
Answer:
The are 30 chocolates in the box.
Step-by-step explanation:
Since there are 2 white chocolates for every plain chocolate in a box of chocolates, and there are no chocolates of any other color in the box, and there are 10 plain chocolates in the box, to determine how many chocolates are there in the box altogether the following calculation must be performed:
10 + (2 x 10) + 0 = X
10 + 20 + 0 = X
30 = X
Therefore, there are 30 chocolates in the box.
What is the measure of angle DFE?
Answer:
28
Step-by-step explanation:
its vertically opposite
Answer:
28
Step-by-step explanation:
Vertical angles always have the same measure, so the measure of DFE would also be 28 degrees
cuales son los angulos de 125
[tex] [/tex]
Answer:
Ángulo de 125 grados Cómo se llama
Este ángulo es obtuso porque 120 es un número mayor que 90 y menor que 180. Es decir, la amplitud de este ángulo mide entre los 90º y los 180º: 90º < 120º < 180º.
Step-by-step explanation:
Can the sides of a triangle have lengths 2, 5, and 9?
Help?
Answer:
no
Step-by-step explanation:
2.2 Roulette wheel: The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) You watch a roulette wheel spin 4 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin
Answer:
9/19
Step-by-step explanation:
Number of slots =38
red balls R = 38, black balls B = 18, green balls G = 2
we want to calculate
P( Red ball/ previous 4 spins are red) = P( red ball) [because each spin is independent to other]
= 18/38 = 9/19
Asha makes a conjecture that the perimeter of a square whose sides are an odd
integer is always even. Which choice is the best proof of her conjecture?
Answer:is the bottom left corner “let n ....”
Step-by-step explanation:
solve: 14.975 divided by 9.5
Answer:
1.57631579
Step-by-step explanation:
14.975 ÷ 9.5 = 1.57631579
A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)
how many bicycles were produced from 8 to 2
Answer:
221
Step-by-step explanation:
Day 8 is the first day of the second week.
Day 21 is the last day of week 3.
We need to know the n umber of bicycles made from t = 1 to t = 3
The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.
We need to integrate the function with the limits of 1 to 3.
[tex] \int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt [/tex]
[tex] \int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt [/tex]
[tex]= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}[/tex]
[tex] = 330.45 - 109.72 [/tex]
[tex] = 220.7333 [/tex]
Answer: 221
what is the reciprocal of 19
Answer:
1/19
Step-by-step explanation:
In order to find the reciprocal of a number, we need to flop it over.
"Flopping over" is not the same as "changing the sign of the number"
So what does "flopping over" actually mean?
Consult the following formula:-
[tex]\sf{The~reciprocal~of~a~is\mapsto\frac{1}{a} }[/tex]
According to the formula,
[tex]\sf{The~reciprocal~of~19~is~\frac{1}{19}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
PLEASE HELP WILL GET MANY POINTS
Answer:
34
Step-by-step explanation:
5644444444444444444
Madison will be 14 in 5 years . Which equation best describes Madison‘s age (x) today?
determine el valor de k en la ecuación de la recta kx-3y=0 que es perpendicular a la recta y=2x+4.
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the volume of the solid figure
Answer:
102 foot^3
Step-by-step explanation:
First, the box in the middle: 4x3x8=96
Then the 2 other boxes are: 2x(1x1x3)=6
6+96=102
PLZ HELP ME ON THIS!!!!
Answer:
C
Step-by-step explanation:
the anderton is between 9 and 13
Answer:
B
Step-by-step explanation
help me please thank you!!
Answer:
y=2/7x+4
Step-by-step explanation:
7y-2x=42
7y=2x+42
y=2/7x+6
slope is 2/7
parallel means the slope is the same so y=2/7x+4 is correct
Find the values of x and y in the diagram.
Answers:
x = 18
y = 6
==========================================================
Explanation:
Focus on triangle TRS. This triangle has congruent base angles as shown by the double arcs. This means that the sides opposite these angles (TR and RS) are congruent. So TR = RS.
Because RS = 11, this makes TR = 11 too.
Now move onto triangle UTR. This triangle is equilateral because each angle is the same measure (each angle being 60 degrees).
So UT and TR are the same length, and,
UT = TR
x-7 = 11
x-7+7 = 11+7
x = 18
--------------
Since every angle of triangle UTR is 60 degrees, this makes angle URT 60 degrees and angle TRS to be 180-60 = 120 degrees.
Move back to triangle TRS. We have these interior angles:
R = 120T = 5yS = 5yFor any triangle, the interior angles always add to 180
R+T+S = 180
120+5y+5y = 180
10y+120 = 180
10y = 180-120
10y = 60
y = 60/10
y = 6
Larry can buy 4 pizzas for $27 at Pizza Rocks or pay $32 for 5 pizzas at Scrabbles Pizza. Which deal
should he take to get the best deal? (Pizza Rocks or Scrabbles Pizza)
Whoever responds first will get marked best
Answer:
the $32 for 5
Step-by-step explanation:
Answer: I think he should get the "Pizza Rocks".
Sorry if its wrong!
Find the value of x
Answer:
60 think
Step-by-step explanation:
Pls help me I really don’t get it