Step-by-step explanation:
We know that HK and GL are congruent by Given. We can also see that GK is congruent to itself on both sides because of reflexive property. A works, because it corresponds and might fit into SAS. B doesn't, because the two angles don't correspond. C is the same as A, so it will work as well. D's angles correspond, but don't fit SAS.
This means that angle KHG and angle GLK will be congruent, as well as angles GHK and KLG (They're the same angles though).
To prove that [tex]\triangle GHK \cong \triangle KLG[/tex] by the SAS Congruence Theorem, the additional information we need is: D. ∠HKG ≅ ∠LGK
Recall:
If two sides and an included angle in one triangle is congruent to two sides and an included angle in another triangle, both triangles are proven by the SAS Congruence Theorem to be congruent to each other.Given the image showing [tex]\triangle GHK $ and $ \triangle KLG[/tex], the following are known:
[tex]HK \cong GL\\\\GK \cong GK[/tex]
This implies that two corresponding sides of both triangles are congruent to each other.However, for us to prove that both triangles to be congruent, we need an additional information that tells us an included angle in one triangle is congruent to a corresponding included angle in the other.
Therefore, to prove that [tex]\triangle GHK \cong \triangle KLG[/tex] by the SAS Congruence Theorem, the additional information we need is: D. ∠HKG ≅ ∠LGK
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Answer pls i need the answer ASAP if you know then pls answer i beg of you.
Answer:
A 19.8
Step-by-step explanation:
Mrs. Santiago is buying donuts for her office. Each box contains 6 glazed, for cream filled, and two chocolate flavored Donuts. If there were 20 total cream filled Donuts, how many chocolate donuts did she buy?
ANSWER ASAP PLEASE.
Answer:
She would get less chocolate donuts then the cream filled donuts
Step-by-step explanation:
so I have 6 glazed donuts I bought, I also bought 2 chocolate donuts, if you subtract that you'd have 18 chocolate donuts
Find the value of c so that (x+1) is a factor of the polynomial p(x)
Answer:
The answer is in the step by step below (image)
Step-by-step explanation:
will give brainliest
Answer:
D
Step-by-step explanation:
I hope this helps
Solve the system of equations - x - y = 6 and 5x -7y=66 by combining the equations
Answer: Let's solve for x.
−x−y=6
Step 1: Add y to both sides.
−x−y+y=6+y
−x=y+6
Step 2: Divide both sides by -1.
−x
−1
=
y+6
−1
x=−y−6
Answer:
x=−y−6
Let's solve for x.
5x−7y=66
Step 1: Add 7y to both sides.
5x−7y+7y=66+7y
5x=7y+66
Step 2: Divide both sides by 5.
5x
5
=
7y+66
5
x=
7
5
y+
66
5
Answer:
x=
7
5
y+
66
5
Step-by-step explanation:
Approximate the solution to this system of equations. y = –2x + 6 y = 4x – 1
Answer:
x = 1[tex]\frac{1}{6}[/tex], y = 3[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
y = -2x + 6 --- Equation 1
y = 4x - 1 --- Equation 2
Since both (-2x + 6) and (4x - 1) have the same total, y, they are equal.
-2x + 6 = 4x - 1
Isolate the like terms.
6 + 1 = 4x + 2x
Evaluate like terms.
6x = 7
Find x.
x = [tex]\frac{7}{6}[/tex]
x = 1[tex]\frac{1}{6}[/tex]
Substitute x = [tex]\frac{7}{6}[/tex] into Equation 2:
y = 4x - 1
y = 4([tex]\frac{7}{6}[/tex]) - 1
= 4[tex]\frac{2}{3}[/tex] - 1
y = 3[tex]\frac{2}{3}[/tex]
A stereo costs $418.70, including 6% sales tax. How much was the sales tax itself?
Answer:
25.12
Step-by-step explanation:
Which system is equivalent to StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row 7 x squared + 2 y squared = 10 EndLayout?
Answer:
The answer is D, or the bottom one.
[tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex] is equivalent to [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex].
An equivalent relation of [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex] is to determine.
Relation between two values is defined as the how the value associate with others.
Here,
⇒ [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex]
⇒ multiply by 7 in first equation and by -5 in second equation.
⇒ [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex]
Thus, [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex] is equivalent to [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex].
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How many extraneous solutions does the equation below have?
fraction numerator 2 m over denominator 2 m plus 3 end fraction minus fraction numerator 2 m over denominator 2 m minus 3 end fraction equals 1
Answer:
Two extraneous solutions
Step-by-step explanation:
What is the correct value of x?
Answer:
x= -5
Step-by-step explanation:
First get X alone by dividing both sides by -4.2
-4.2x=21
-4.2. -4.2
then you're left with X = -5
To verify your answers, multiply -5 by -4.2
helppppppp oof this is not what i want to do right bought now so please help
Hi there! :)
[tex]\large\boxed{\text{H. 2.19}}[/tex]
Let x = number of pounds of grapes and y = cost in dollars:
Find the constant of proportionality by finding the price per pound:
[tex]\frac{6.57}{3} = \frac{c}{1} \\\\2.19 = c[/tex]
Therefore, the constant of proportionality is H. 2.19
The equation, y = 36/x, is an example of what kind of variation?
a.) direct variation
b.) inverse variation
Answer: Inverse variation
Do the equations 3x + 2y =7 and y= -x + 7 define the same line . plsssss help
9514 1404 393
Answer:
no
Step-by-step explanation:
When the second equation is put in standard form like the first equation is, then you can see they are different. They do not define the same line.
3x +2y = 7
x + y = 7 . . . . . second equation in standard form
What is the slope of the line?
Answer:
-3/2
Step-by-step explanation:
Rise/run
You count down/up however many until the line hits another point, and then go across until it matches. So I counted down 3 squares and over 2, and since it is going down it is negative.
I hope this helps :)
Answer:
all endjsj
dhsieosjskso
PLSS ANSWER
The electricity goes out in a house. The temperature in the house changes by 35 F in 5 hours On
average, by how many degrees is the temperature changing per hour?
7 degrees F
Alya loves to read. She read 90 pages in half an hour. How many pages does she read per minute?
Answer: 3
90 pages in 30 minutes so divide 90 by 30 and 90 divided 30 = 3
Hope this helps!
Answer: 3
Step-by-step explanation:
Step 1: Divide 90 by 30
Step 2: 90 divided by 30 = 3
6 pounds of strawberries cost $13.50. What is the cost of 50 pounds of strawberries?
Answer:
$112.50
Step-by-step explanation:
13.50 / 6 = 2.25; this is how much it cost per pound
2.25 * 50 = 112.50
could you help me with this
What is the 9th term in the geometric sequence?
a(n)=-6⋅(2)^(n-1)
A. -1536
B. 1536
C. 3072
D. -3072
The perimeter of a rectangle is 36 cm and its area is 77 sq cm.
Find the dimensions of the rectangle, if the length is x and the
width is y.
Length=______cm
Width=_______cm
Answer:
y
Step-by-step explanation:
HELP FIND X AND Y PLS
Answer:
X=56 Y=56
Step-by-step explanation:
55 points.
Please simplify it .
Don't answer of your don't know.
Step-by-step explanation:
i) answer =1
ii) 2 -3m + 6n -2 x 3 3-m
Answer:
( i ) [tex]\boxed{1}[/tex]
( ii ) [tex]\boxed{2^{6n - 3m - 2}\times 3^{3 - m}}[/tex]
.
Step-by-step explanation:
( Part i )
[tex]\left(\frac{1}{x^{a - b}} \right)^{a + b}\left(\frac{1}{x^{b + a}} \right)^{b - a}[/tex]
[tex]= \left(\frac{1}{x^{(a - b)(a + b)}} \right)\left(\frac{1}{x^{(b + a)(b - a)}} \right)[/tex]
[tex]= \left(\frac{1}{x^{a^2 - b^2}} \right)\left(\frac{1}{x^{b^2-a^2}} \right)[/tex]
[tex]= \frac{1}{x^{a^2 - b^2 + (b^2 - a^2)}}[/tex]
[tex]= \frac{1}{x^0}[/tex]
[tex]= \frac{1}{1}[/tex]
[tex]= \boxed{1}[/tex]
.
( Part ii )
[tex]\frac{2^{m + n}\times 3^{2m + 3} \times 4^{2n -1}}{6^{2m + n}\times 12^{m - n}}[/tex]
[tex]=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{2(2n -1)}}{(2\times3)^{2m + n}\times (3\times 2^2)^{m - n}}[/tex]
[tex]=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{4n -2}}{2^{2m + n}\times3^{2m + n}\times 3^{m - n}\times 2^{2(m - n)}}[/tex]
[tex]=\frac{2^{m + n + 4n - 2}\times 3^{2m + 3}}{2^{2m + n + 2m - 2n}\times3^{2m + n + m - n}}[/tex]
[tex]=\frac{2^{m + 5n - 2}\times 3^{2m + 3}}{2^{4m - n}\times3^{3m}}[/tex]
[tex]= 2^{m + 5n - 2 - (4m - n)}\times3^{2m + 3 - 3m}[/tex]
[tex]= \boxed{2^{6n - 3m - 2}\times 3^{3 - m}}[/tex]
.
Happy to help :)
Simplify the expression use the screen shot
Answer:
(a/b)^k=a^k/b^k
Step-by-step explanation:
Using the laws of exponents, we know that (a/b)^k=a^k/b^k.
I couldn't get it to format correctly so just know that the "/" are for the fraction signs and the "^" is for the exponent marking.
Answer:
a^k / b^k
Step-by-step explanation:
You have to use the properties of the powers.
PLEASE HELP!! look at the image below
Answer:
A right 4 down 5
Step-by-step explanation:
counting the grid spaces from any point for example R and going to the point R' (R prime) will give you the translation
What is the answer to 1/4x=2?
Answer: x=8
Step-by-step explanation: Solve for the x by simplifying both sides of the equation, then isolate the variable.
I hope this help you out!
What is the area of a box that is 2ft 3ft 5 1/2ft
Answer:
3,300
Step-by-step explanation:
4. A hot air balloon hovers 100 feet about the ground. The balloon is tethered to the ground with a
rope that is 250 feet long. At what angle of elevation, is the rope attached to the ground? Round
you answer to the nearest degree.
Answer:
[tex]\theta=24^\circ[/tex]
Step-by-step explanation:
Trigonometry and Right Triangles:
The ratios of the sides of a right triangle are called trigonometric ratios. Any angle or side length can be calculated using the appropriate trigonometric ratio.
Please refer to the image below. The balloon is 100 feet high and the rope has a length of 250 feet. The right triangle formed allows us to apply a trigonometric ratio that relates the two given side lengths: the hypotenuse and the opposite leg to angle θ.
The sine ratio is defined as:
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin\theta=\frac{100}{250}=0.4[/tex]
[tex]\displaystyle \sin\theta=0.4[/tex]
Calculating θ:
[tex]\theta=\arcsin 0.4[/tex]
[tex]\theta=23.6^\circ[/tex]
To the nearest degree:
[tex]\mathbf{\theta=24^\circ}[/tex]
ANSWER CORRECTLY AND ILL MARK YOU AS THE BRAINLIEST
Answer:
2/3
Step-by-step explanation:
im pretty sure that's the answer
Answer:
y=3x-6
Step-by-step explanation:
pls help i will give 15 brainly points
Solve for 0
Answer:
24.15°
Step-by-step explanation:
sinΦ = 18/44
Φ= 24.15°
Please help me I forgot this subject
Answer:
C
Step-by-step explanation: