Answer:
[tex]\angle DFE = \angle DFG[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
What makes DEF and DGF congruent
We have:
[tex]EF = GF[/tex] --- this is indicated by the single line on both sides
Also:
[tex]DF = DF[/tex] --- both triangle share same side
For SAS to be true;
2 sides and 1 angle must be equal in either triangles
So far, we have:
[tex]EF = GF[/tex] ---- S
[tex]DF = DF[/tex] ---- S
The additional to complete the proof is:
[tex]\angle DFE = \angle DFG[/tex] ---- angle between the above sides
Reflection is a type of rigid transformation which requires the turning of an object, shape or figure about a reference point or line. Therefore, the needed additional information is ∠DFE ≅ ∠ DFG. Option B.
Reflection implies turning the given triangle DEF about its side DF, so as to produce an image with the same dimensions but different orientation.
The required proof by Side-Angle-Side (SAS) implies that the relations will be in respect of two of its sides and their included angle.
So that,
GF ≅ FE (given)
DF is the common side to triangles DEF and DFG.
DFG is the included side.
Thus;
∠DFE ≅ ∠ DFG (Side-Angle-Side postulate, SAS)
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What is an equation of the line that is parallel to y = 3x - 8 and passes
through the point (4,-5)?
Answer:
[tex]y=3x-17[/tex]
Step-by-step explanation:
Parallel equations always share a slope.
So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]
[tex]-5=3(4)+b[/tex]
simplify both sides
[tex]-5=12+b[/tex]
isolate the variable
[tex]-17=b[/tex]
plug [tex]b[/tex] back into the equation and you get
[tex]y=3x-17[/tex]
Answer:
y = 3 x + 11
Explanation:
Parallel lines have the same slopes.
The slope of the new line will have the same slope as the given line:
y = 3 x − 4
⇒ m = 3
One point on the line is given,
( − 2 5 ) .
This is ( x 1 y 1 )
The formula for slope is
m = ( change in y values/ change in x-values ) = y 2 − y 1/ x 2 − x 1
If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.
y − y 1 = m ( x − x 1 )
y − 5 = 3 ( x − ( − 2 ) )
y − 5 = 3 ( x + 2 )
Simplify to get the required equation of the line.
y = 3 x + 6 + 5
y = 3 x + 11
Step-by-step explanation:
Which of the following is a solution to 2sin^(2)x+sinx-1=0
45\deg
200\deg
240\deg
270\deg
330\deg
Hello,
[tex]2*sin^2(x)+sin(x)-1=0\\\Delta=1+4*2*1=9=3^2\\sin^2(x)=\frac{-1-3}{4} =-1\ (impossible)\\or\\sin^2(x)=\frac{-1+3}{4} =\dfrac{1}{2}\\sin(x)=\dfrac{\sqrt{2} }{2} \Longrightarrow (x=45^o\ or\ x=135^o)\\or\\sin(x)=-\dfrac{\sqrt{2} }{2} \Longrightarrow (x=315^o\ or\ x=225^o)\\[/tex]
Answer A : 45°
PLEASE HELP!!!
Verify sin(180°- θ) = sin θ
SHOW WORK!!!
Answer:
see explanation
Step-by-step explanation:
Using the identity
sin(x - y) = sinxcosy - cosxsiny , then
sin(180 - θ)
= sin180cosθ - cos180sinθ
= (0) cosθ - (- 1)sinθ
= 0 + sinθ
= sinθ
What is the 7th term in the sequence below?
5, 25, 125, 625, …
A. 78,125
B. 15,625
C. 3,125
D. 825
Answer:
its 3125
Step-by-step explanation:
you multiply it by 5 every time
Answer:
C
Step-by-step explanation:
Identify the parts of the following algebraic expression.
-8z + 1
2
y - 7.7
Term:
Variable:
Coefficient:
Constant:
Answer:
-8z+1
term:2
variable:z
coefficient:-8
constant:1
2
term:1
variable:nil
coefficient:nil
constant:2
y-7.7
term:2
variable:y
coefficient:nil
constant:-7.7
The solution is given below.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
now, we get,
-8z+1
term:2
variable: z
coefficient:-8
constant:1
again,
2
term:1
variable : nil
coefficient : nil
constant:2
now,
y-7.7
term:2
variable : y
coefficient : nil
constant:-7.7
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Question: Dentify the parts of the following algebraic expression.
-8z + 1
2
y - 7.7
Term:
Variable:
Coefficient:
Constant:
Benjamin writes an expression for the sum of 1 cubed, 2 cubed, and 3 cubed -- What is the value of the expression? options---
18, 36, 38, or 20-- ANSWER FAST!!!
Answer:
36
Step-by-step explanation:
1^3 + 2^3 + 3^3= 1+8+27
9+27= 36
Solve the following simultaneous equations : 5m - 3n = 19; m - 6 = -7
Answer:
m = -1
n= -8
Step-by-step explanation:
5m -3n = 19
m - 6 = -7
solve for m:
m = -7+6
m = -1
plug in m
5(-1) - 3n = 19
-5 - 3n = 19
-3n = 24
n = -8
What is the area of this figure
Answer:
247 yd²
Step-by-step explanation:
this figure can be "split" into 3 sub-figures.
2 rectangles and one triangle "at the top".
these 3 areas can be easily calculated, and the we simply sum them all up, and that is the total area.
my approach is to pick the first rectangle to be the one extruding one to the right.
R1 = 11×5 = 55 yd²
the second rectangle is then the rest of the"straight" area up to the beginning of the triangle top
R2 = 8 × (13+5) = 8×18 = 144 yd²
and the area of a triangle is
baseline × height / 2
we can clearly see in our example, it is a right-angled triangle, so the left side is also the height, which is the remainder of the long side of the original figure, when we deduct all the other parts we used for the rectangles.
so, we have
T = 8 × (30 - 5 - 13) / 2 = 8×12/2 = 8×6 = 48 yd²
so, in total we have
F = 55 + 144 + 48 = 247 yd²
Help me with this problem
Answer:
Angle A is F Angle A = 57. 52+71=123. 180-123=57
Help and explain !!!!!!!!!!!!!
Answer:
6x - 15
Step-by-step explanation:
f(x) = 2x + 3 and g(x) = 3x - 9.
[tex]f(g(x))=2(3x-9)+3\\f(g(x))=6x-18+3\\f(g(x))=6x-15[/tex]
Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1?
Answer:
On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0). Step-by-step explanation: If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.
Step-by-step explanation:
A conditional statement is logically equivalent to a biconditional statement. True False pls help i have a test and i was absent for 3 days i know nothing about this help help help help pls
Answer:
false.
Step-by-step explanation:
A conditional statement is something like:
If P, then Q.
This means that if a given proposition P is true, then another proposition Q is also true.
An example of this is:
P = its raining
Q = there are clouds in the sky.
So the conditional statement is
If its raining, then there are clouds in the sky.
A biconditional statement is:
P if and only if Q.
This means that P is only true if Q is true, and Q is only true if P is true.
So, using the previous propositions we get:
Its raining if and only if there are clouds in the sky.
This statement is false, because is possible to have clouds in the sky and not rain.
(this statement implies that if there are clouds in the sky, there should be rain)
Then we could see that for the same propositions, the conditional statement is true and the biconditional statement is false.
Then these statements are not logically equivalent.
The statement is false.
We can use SOH-CAH-TOA for
A. Any triangle ever
B. Non-right triangle only
C. right triangle only
D. Never
Answer:
C. right triangle only
Step-by-step explanation:
Other triangles use other laws such as law of cosines or sines to solve them. Right triangles exclusively use SOH-CAH-TOA because side opposite to 90 degree is always hypotenuse.
List a function that's it's own inverse
==========================================================
Explanation:
If g(x) is the inverse of f(x), and vice versa, then we have these two properties:
f(g(x)) = xg(f(x)) = xSince we want to find a function that is its own inverse, we want f(x) and g(x) to be the same function.
Through trial and error, you should find that f(x) = g(x) = x fit the description.
f(x) = x
f( g(x) ) = g(x) ... replace every x with g(x)
f( g(x) ) = x
You should find that g(f(x)) = x as well.
One possible answer is f(x) = x
---------------------------
Through more trial and error, you should find that f(x) = g(x) = 1/x works as well. In fact, anything of the form f(x) = g(x) = k/x will work.
The proof can be written as follows
f(x) = k/x
f( g(x) ) = k/( g(x) )
f( g(x) ) = k/( k/x )
f( g(x) ) = (k/1) divide (k/x)
f( g(x) ) = (k/1) * (x/k)
f( g(x) ) = x
Through similar steps, you should find that g(f(x)) = x is the case also.
This proves that f(x) = k/x is its own inverse, where k is a real number constant.
Another possible answer is anything of the form f(x) = k/x
If we pick k = 3, then we get f(x) = 3/x which is the answer I wrote above.
You can pick any k value you want.
---------------------------
There may be other types of functions that have this property, but I'm blanking on what they might be.
Determine the period
Answer:
It's 10, on acellus :)
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
12
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] x - [tex]\frac{5}{4}[/tex] + 2x = [tex]\frac{5}{6}[/tex] + x
Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions
6x - 15 + 24x = 10 + 12x
Answer:
12
Step-by-step explanation:
[tex]12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)[/tex]
6x-15+24x=10+12x
Which graph represents a function?
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.(x+4y)^(6)
Can Someone please me how to do this PLEASE!
How do I find the area for this shape
Answer:
you do length times width then add them
4. If carbon was the most common element found in the moons and planets, what element is missing that would make them similar to Earth? Explain why. (Hint: Think about the carbon cycle.)
Oxygen
Step-by-step explanation:
That's what I think
Question 18 (5 points)
Determine the sum of the measures of the interior angles of a dodecagon (12-sided
polygon).
540°
1,800°
360°
2,160°
Answer:
its 540 bro
Step-by-step explanation:
need help asap plsss!!
Step-by-step explanation:
13x - 12 = 7x - 6( remaining side of the similar triangle is equal).
BRAINLIEST FOR ANSWER WITH EXPLANATION
JUST ONE QUESTION ATTACHED BELOW:
Answer:
m=16
Step-by-step explanation:
(6+6)/m=6/8
12/m=6/8
M=16
Answer:
16
Step-by-step explanation:
This triangle has been dialated; ILM is a dialated version of IJK. We know that dialations are by scale factors, and we also know the length of two corresponding sides.
IM is 6 m long, and IMK is 6+6 m long, so 12 m. So using simple ratios, we know the dialation factor from ILM to IJK is 2. The corresponding side for JK (m) is LM, which we know is 8 m. So side m is 16 because of the scale factor (2).
Maybe you thought we were solving for "m", as in a varriable all the sides are multiplied by, but I think that's just bad labeling. Hope this helps!
The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.
What is the equivalent equation solved for h?
StartFraction StartFraction p Over m EndFraction Over g EndFraction equals h. = h
StartFraction p Over m g EndFraction equals h.= h
Pmg = h
StartFraction p Over StartFraction m Over p EndFraction EndFraction equals h. = h
The equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]
Subject of FormulaFrom the question, we are to determine the equivalent equation solved for h
From the given information,
The amount of potential energy, P, is modeled by the equation
P = mgh
To determine the equivalent equation solved for h, we will make h the subject of the equation,
From,
P = mgh
Divide both sides of the equation by mg
That is,
[tex]\frac{P}{mg} = \frac{mgh}{mg}[/tex]
∴ [tex]\frac{P}{mg} = h[/tex]
Hence, the equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]
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Answer
B
Step-by-step explanation:
Edge 2022
Si 4/9 de los adolencentes que confirmaron su asitencia fueron varones y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron y 24 que confirmaron su asistencia si participaron ¿cuantos adolecentes en total confirmaron su asitencia?¿Cuantos adolencentes varones confirmaron su asistencia?
Answer:
216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.
Step-by-step explanation:
Dado que 4/9 de los adolescentes que confirmaron su asistencia fueron varones, y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron, y 24 que confirmaron su asistencia si participaron, para determinar cuántos adolescentes en total confirmaron su asistencia y cuántos adolescentes varones confirmaron su asistencia se deben realizar los siguientes cálculos:
5/9 x 1/5 = 24
5/45 = 24
1/45 = 4.8
4.8 x 45 = 216
216 / 9 x 5 = 120
216 / 9 x 4 = 96
Por lo tanto, en total 216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.
If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be
7
18
11
0
Answer:
please mark me brainlist
Step-by-step explanation:
a) On the grid draw lines to show
the region satisfied by the three
inequalities
y = x + 1
Inequalities are used to represent unequal expressions
How to determine the grid linesThe inequality is given as;
[tex]y \ge x + 1[/tex]
The above inequality means that the upper part of the graph is shaded, and the line of the graph is a closed line
See attachment for the grid that represents the inequality [tex]y \ge x + 1[/tex]
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If and are the zeroes of the polynomial 2x^2+3x+5 then the value of 1/alpha + 1/beta
Pls answer fast..I’ll mark the brainlest
Answer:
-4/15
Step-by-step explanation:
Mathematically, we know that;
alpha= -b/a and beta = c/a
a refers to the coefficient of the x^2 which is 2
b is the coefficient of x which is 3
c is the last number which is 5
alpha = -b/a = -3/2
beta = c/a = 5/2
1/alpha = -2/3
1/beta = 2/5
so we have the sum as;
-2/3 + 2/5
= -5(2) + 3(2)/15 = (-10 + 6)/15 = -4/15
A new computer company earns a profit of $245000 in its first year. The company expects the profits to increase by 15% each year for each subsequent year. Using your series formula, find the profit earned in its seventh year.
Answer:
$566,700 to the nearest dollar.
Step-by-step explanation:
This is a geometric series with nth term = a1r^(n-1) where common ratio r
= 1.15 and first term a1 = 245000
So in its 7th year the profit will be 245000^ 1.15^(7-1)
= 566699.8876.
HELP ME PLZ!!
-x - 1 = 221 + 2x
Answer:
[tex]-x\:-\:1\:=\:221\:+\:2x[/tex]
[tex]-x-1+1=221+2x+1[/tex][tex]-x=2x+222[/tex][tex]-x-2x=2x+222-2x[/tex][tex]-3x=222[/tex][tex]\frac{-3x}{-3}=\frac{222}{-3}[/tex][tex]\hookrightarrow Answer:x=-74[/tex]
-------------------------
hope it helps...
have a great day!!