Help, please! In the diagram, FH = 1/3AC and 3FG = AB. What additional information is necessary to prove that ΔABC is similar to ΔFGH, using the SSS similarity theorem?
1.
2.
3. BC/GH = 3
4. BC/GH = 1/3
Answers
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Explanation:
The order of the letters is very important. This is because the order tells us how the angles pair up and that leads to telling us how the sides correspond to one another.
Note with ABC and FGH, the first and last letters are AC and FH respectively. These sides correspond. We're told that FH is 1/3 as long as AC when your teacher wrote FH = (1/3)*AC; we can solve for AC to get AC = 3*FH.
Going back to ABC and FGH, we see that the first two letters of each are AB and FG. This is another pair of corresponding sides. We're told that 3*FG = AB. So AB is three times longer than FG.
So far we can see that
AC = 3*FHAB = 3*FGThe missing information we need is that BC = 3*GH. If we know this, then we can use the SSS similarity theorem to prove the triangles are similar. Note how BC are the two last letters of ABC while GH are the last two letters of FGH.
Starting with BC = 3*GH, we can divide both sides by GH and we get BC/GH = 3.
Related Questions
Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more
than Amari, and DJ collected $15.60 less than Kobe.
If x = the amount raised by Amari, choose the expressions that represent the amount
each other player raised.
Answers
Answer:
x+8.95 and x+24.55
Step-by-step explanation:
im not going to do this
Tameka pilots a hot air balloon. She lowers the balloon
five times, going down an equal distance each time. In
all, Tameka lowers the balloon 75 m.
What integer represents the change in the hot air
balloon’s elevation each time Tameka lowers it?
What does this integer tell you?
Answers
Answer:
15 m
Step-by-step explanation:
Given that :
Change in distance is the same each time Ballon is lowered ;
Number of times Ballon is lowered = 5 times ;
Total change in distance = 75 m
Change in distance per time lowered equals ;
(Total change in elevation / Numbe rof times Ballon is lowered)
75m / 5
= 15 m
Hence, Ballon height changes by 15 m each time it is lowered.
The integer gives the lowering rate.
HELP FAST I'LL MARK YOU BRAINLIEST What is an equation of the line that passes through the point (−2, 3) and is perpendicular to the line whose equation is y = 3/2( x ) − 4?
Answers
Answer: y = -2/3x + 5/3
Step-by-step explanation:
The slope of a perpendicular line is opposite reciprocal --> -2/3Using point given (-2, 3), find b.3 = -2(-2/3) + b3 = 4/3 +b5/3 = bHELP NEEDED Please emergency help :)
Answers
Answer:
See below.
Step-by-step explanation:
a. Geometric
b. Arithmetic
c. Neither
d. +4
e. 5
f. 2, 4, 6, 8
g. 2, 4, 8, 16
60 points! Will mark brainliest! I only want the correct answer please. Random answers will be reported
Answers
For a line to be parallel, it must have the same gradient/slope.
Answer:
First Option: y = 1/2x + 8
Step-by-step explanation:
for lines to be parallel they must have the same slopes
HELP ASAP!! I WILL MARK BRAINLIEST!! Write an equation for the graph.
Answers
Answer:
y = 7/4x
Step-by-step explanation:
All you have to do is find the slope by using the formula change in y divided by change in x of the two points. You can see that y goes up by 14 when x goes up by 8. This means that the slope is 14/8, or 7/4.
The equation would then be y = 7/4x
Y+4=-6(x+6) what is the answer
Answers
Answer:
y+4+−4=−6x−36+−4
y=−6x−40
y=−6x−40
slope is -6
y intercept is -40
Answer:
y = -6x - 40
in standard form its:
y + 6x = -40
Step-by-step explanation:
Jaylen's family has completed 30% of a trip. They have traveled 33 miles. How far is the
trip?
Use a t-chart, double number line diagram, tape diagram or fraction strategy to help.
Answers
Answer:
[tex] \frac{30}{100} = \frac{33}{x} \\ 30x = 3300 \\ x = \frac{3300}{30} = 110[/tex]
18.
Can someone help me with this?
Answers
Answer: A
Step-by-step explanation:
Which triangle is both scalene and right?
PLZ HELP NEED IT ASAP
Answers
PLSSSSSSSSSS URGENT I NEED HELP!!!
The diagram shows the graph of y = ax + b. Find the values of a and b *
Answers
Answer:
The values of a and b are:
a = 2b = 2Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = ax+b
where
a is the slopeb is the y-interceptFrom the diagram of the line graph, we can fetch the two points
(0, 2)(-1, 0)Determining the slope between (0, 2) and (-1, 0)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)[/tex]
[tex]a=\frac{0-2}{-1-0}[/tex]
[tex]a=2[/tex]
Thus, the value of a = 2
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting a = 2 and b = 2 in the slope-intercept form of the line equation
y = ax+b
y = 2x + 2 ∵ a = 2 , b = 2
Thus, the line of equation is:
y = 2x+2
now comparing with y = ax+b
Here:
a = 2
b = 2
Therefore, the values of a and b are:
a = 2b = 2Which statement is a refusal strategy?
O "I will try it once, but that's it."
"I like to use a different brand."
O "My parents will be very disappointed in me."
O "My friends and I prefer weed to what you are using."
(Posting this in math so people see it)
Answers
Answer:
2.) "My parents will be very disappointed in me."
Step-by-step explanation:
This is the only explanation that will get you out of any bad situations.
1.) I'll try it once: if you try it once, you'll be hooked on it forever.
2.) Correct answer: Only way to get out of a situation like this affectively.
3.) My friends and I prefer weed: This would still suggest you still use drugs.
(I think it's smart to post it in math! :)
f(n) = 4n +3
g(n) = 3n²+2
Find f(n) - g(n)
help lol
Answers
Answer:
[tex](4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = - 3 {n }^{2} + 4n + 1 \\ ( - 3 {n}^{2} - 3n) - (1n + 1) \\ - 3n(n + 1) - 1(n + 1) \\ (n + 1)( - 3n - 1) \\ n = - 1 \\ n= \frac{1}{ - 3} [/tex]
Answer:
[tex]f(n) - g(n) = (4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = \boxed{4n - 3 {n}^{2} + 1}[/tex]
(4n²-3n+1) is the right answer.please help me im very confused
Answers
Answer:
56 units long
Step-by-step explanation:
the whole line is 73 units long, and CB is 17 units long. You would subtract 17 from 73 and then you have the missing value which is 56. (or in other words 17 plus what equals 73).
Part ?? of i need these
Answers
R = 74
Q = 32
:)
Answer:
You already have the answer so ima just get the points
Have a good night
pls help ASAP best answer gets brainlest
Answers
Answer:
F
Step-by-step explanation:
Square root of 10 is 3.16
3.1
EXPLANATION
y = 1^2-2x+4
find y pls
Answers
Answer:
y = − 2 x + 5
Step-by-step explanation:
Try this
Answer:
y = −2x+5
Step-by-step explanation:
lmk if you need to see the work shown
The line shown in the graph passes through the points (2, 4) and (-1, 6). Which is the
equation of the line?
Answers
6 - 4 / -1 - 2
2 / - 3
m = -2/3 x (slope)
find f(-10) f(x)=7x-5
Answers
Answer:
f(-10) = -75Step-by-step explanation:
F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.
f(-10) = 7(-10) - 5
f(-10) = -70 - 5
f(-10) = -75
Answer:
Rewrite the equation in term of
x
and
y
.
f
(
x
)
=
2
x
2
−
7
x
+
5
Rewrite the equation in vertex form.
Tap for fewer steps...
Complete the square for
2
x
2
−
7
x
+
5
.
Tap for more steps...
2
(
x
−
7
4
)
2
−
9
8
Set
y
equal to the new right side.
y
=
2
(
x
−
7
4
)
2
−
9
8
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
2
h
=
7
4
k
=
−
9
8
Find the vertex
(
h
,
k
)
.
(
7
4
,
−
9
8
)
Step-by-step explanation:
li can walk 2 miles in 45 minuets. At the rate,how far can she walk in 135
Answers
Answer:
6 miles
Step-by-step explanation:
Li can walk 6 miles if you divide 135 and 45 you'll get 3 finally if you multiply 2 and 3 you'll get 6 So in total Li walks 6 miles
Find the y intercept of the graph
Answers
Answer:
i believe the y intersept is -4
9. If y varies directly with x and y = -3 when x = 6, find y when x = 14.
14 -
10. If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.
11. If y varies directly with x and y = -6 when x = 2, find the constant of variation.
please help
i will give brainliest
Answers
9)
If y varies directly with x and y = -3 when x = 6, find y when x = 14.
We know if y varies directly with x, we get the equation
y ∝ x
y = kx
k = y/x
where k is called the constant of variation.
we are given y = -3 when x = 6
so substitute y = -3 and x = 6 to determine 'k'
k = y/x
k = -3/6 = -1/2
Now we have to find y when x = 14
so substituting x = 14 and k = -1/2 to find y
y = kx
y = -1/2 × 14 = -7
Therefore, the value of y = -7 when x = 14
10) If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.
we are given y = 4 when x = 3
so substitute y = 4 and x = 3 to determine 'k'
k = y/x
k = 4/3
Now we have to find x when y = -12
so substituting y = -12 and k = 4/3 to find x
y = kx
x = y/k
x = [-12] / [4/3] = [-12×3] / [4]
x = -36/4
x = -9
Therefore, the value of x = -9 when x = 3
11)
If y varies directly with x and y = -6 when x = 2, find the constant of variation.
We are given
y = -6
x = 2
so substitute y = -6 and x = 2 in the equation
k = y/x
k = -6/2
k = -3
Therefore, the value of the constant of variation will be:
k = -3Am I the only one here that is having a huge problem with Geometry?
Answers
Answer:
18y+30y+14y+150°+142=540
62y+292=540
subtract 292 from both sides
62y= 248
divide 62
y=4°
pleaseee help meee will give brainliest or whateva
Answers
Answer:
The value of x = 12.
Step-by-step explanation:
We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.
We also know that a straight line angle measures 180°.
It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.
Therefore,
9x° + 72° = 180°
9x° = 180° - 72°
9x° = 108
divide both sides by 9
9x/9 = 108/9
x = 12
Therefore, the value of x = 12.
In ΔABC, the measure of ∠C=90°, CB = 7, BA = 25, and AC = 24. What ratio represents the cotangent of ∠B?
Answers
Answer:
[tex]\frac{7}{24}[/tex]
Step-by-step explanation:
The cotangent of [tex]m\angle B[/tex] can be represented as [tex]\frac{1}{\tan (m\angle B)}[/tex]. Using trig rules for a right triangle, we can write the following equation:
[tex]\tan B=\frac{24}{7}[/tex].
Therefore, the cotangent of [tex]m\angle B[/tex] is:
[tex]\cot B = \frac{1}{\tan B}=\frac{1}{\frac{24}{7}}=\fbox{$\frac{7}{24}$}[/tex].
The ratio of cotangent of angle B is [tex]\frac{7}{24}[/tex]. for understanding check the calcualtiion here ,
From the given information ,
In ΔABC, the measure of ∠C=90°, CB = 7, BA = 25, and AC = 24
Contangent of any angle is equal to adjacent side divide by opposite side
Cotangent of an angle is a relationship found by dividing the length of the side adjacent to given angle by the length of side opposite to the given angle.
The side opposite to angle B is CB and side opposite of angle B is AC
cot (B) = adjacent side / opposite side
[tex]cot(B)=\frac{CB}{AC}[/tex]
CB = 7, BA = 25, and AC = 24
[tex]cot (B)=\frac{7}{24}[/tex]
The ratio of cotangent of angle B is [tex]\frac{7}{24}[/tex]
Learn more information about 'cotangent ' here
brainly.com/question/10430279
Are these correct?? I need help quick!!!
Answers
Answer:
No, it is A for the first question and C for the last one
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
1/9= .111111111111 repeating
Solve for n.
-53 + n = -28
A. -35
B. 25
C. -25
D. 35
Answers
Answer:
B. 25
Just use Photomath in those questions
Answer:
B) N=25
Step-by-step explanation:
the distance between -53 and -28 is positive 25
I need the angle of elevation
Answers
Answer:
multiply and see what you get
Which equation describes the line with slope 5 that contains the point (-2,4)?
A. y= 5x +4
B. y = 5x-22
C. y - 5x + 14
D. y = 5x-2
Answers
Answer:
C. y=5x+14
Step-by-step explanation:
Solve using this formula: y=mx+b
4 = (5) (-2) + b
4 = -10 + b
+10 +10
14 = b
Then you will plug in what you found for b in:
y=5x+14
Jeff, Lauren, and Sarah finished their meal, and their total for the three dinners before tax was $21.65. If the tax on their meal was 8.5%, how much was the total cost of their meal with tax? Round to the nearest hundreth.
Answers
Answer: The total cost of their meal with tax= $23.49
Step-by-step explanation:
Given: Cost of the three dinners before tax = $21.65
Tax = 8.5%
Tax amount = 8.5% of ( Cost of the three dinners before tax)
= (0.085) x 21.65 [0.085 = 8.5%]
= $1.84025 ≈ $ 1.84
The total cost of their meal with tax = Cost + Tax amount
= 21.65 + 1.84
= $23.49
Hence, the total cost of their meal with tax= $23.49