Mathematics High School

Which statement is not used to prove that ΔFGH is similar to ΔFIJ?


A. Angle F is congruent to itself, due to the reflexive property.

B. Angles FJI and FHG are congruent, due to the corresponding angles postulate.

C. Points F, J, and H are collinear.

D. Segments JI and HG are parallel.

Answers

Answer 1

Answer:

C. Points F, J, and H are collinear.

Step-by-step explanation:

Given

See attachment for triangle

Required

Which statement is false

Options A, B and D are true while C is false.

Two points are said to collinear if a straight line can pass through them.

From the attached triangle, we can see that a straight line cannot pass through F, J and H.

Hence, they are not collinear.

Since the statement is false, then it cannot be used as part of the proof.

Which Statement Is Not Used To Prove That FGH Is Similar To FIJ?A. Angle F Is Congruent To Itself, Due

Related Questions

The length of your family's garden is 3 feet greater than the width. The area of the garden is 460 square feet. What are the dimensions of the garden?

Answers

Given:

The length of your family's garden is 3 feet greater than the width.

The area of the garden is 460 square feet.

To find:

The dimensions of the garden.

Solution:

Let x feet be the width of the garden. Then,

Length = [tex]x+3[/tex] feet

The area of a rectangle is:

[tex]A=l\times w[/tex]

Where, l is the length and w is the width of the rectangle.

The area of the rectangular garden is:

[tex]A=(x+3)\times x[/tex]

[tex]A=x^2+3x[/tex]

It is given that the area of the garden is 460 square feet.

Putting [tex]A=460[/tex], we get

[tex]460=x^2+3x[/tex]

[tex]0=x^2+3x-460[/tex]

Splitting the middle term, we get

[tex]x^2+23x-20x-460=0[/tex]

[tex]x(x+23)-20(x+23)=0[/tex]

[tex](x+23)(x-20)=0[/tex]

[tex]x=-23,20[/tex]

The width of a garden cannot be negative. So, [tex]x=20[/tex].

Now,

[tex]l=x+3[/tex]

[tex]l=20+3[/tex]

[tex]l=23[/tex]

Therefore, the length of the garden is 23 feet and the width of the garden is 20 feet.

Rylan is calculating the standard deviation of a data set that has 9 values. He determines that the sum of the squared deviations is 316.
What is the standard deviation of the data set?
Round the answer to the nearest tenth.

Answers

The formula for the sum of the squares of the deviations is
SS = s² (N -1)

We are given
SS = 316
N = 9

Substituting
316 = s² (9 - 1)
Solving for s
s = 6.28

The standard deviation is 6.28

what is the radius of (x+5)^{2}+(y-4)^{2}=121?

Answers

Answer: 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

The figure drawn is a circle.  It's center is a (-5,4) just the opposite of what is in the brackets.  I'm giving you this information just to be complete.

For a circle the radius is found using the lone number on the other side of the equal side -- in this case 121

The radius is the square root of that lone number.  

radius^2 = 121

sqrt(radius^2) = sqrt(121)

radius = 11

Which is the number name for 32.611? thirty-two and ciy bundrom​

Answers

Answer:

Winnipeg.

Step-by-step explanation:

When flipping a coin, what is the probability of flipping heads and then heads?

Answers

Answer:

answer: 1/4

Step-by-step explanation:

Hello Love! The answer would be 1/4 because each time when flipping the coin you have a probability of 1/2 because you have equal chances of getting heads or tails then you multiply 1/2 by 1/2 and get 1/4

Answer: 1/4

Step-by-step explanation: In this problem, we are flipping a coin and we want to find the probability of flipping heads and heads.

Flipping a coin twice are events because the outcome of flipping 1 coin

does not affect the outcome of flipping the other coin.

First, find the probability of each event.

The probability of flipping headsnon the first coin toss is 1/2 since there

is 1 favorable outcome, flipping heads, and 2 possible outcomes.

The second flip will also be 1/2.

Now multiply the probabilities to get 1/4.

Write an expression for 213 increased by d.

Answers

Write an expression for 213 increased by d: [tex]213+d=x[/tex]

Peter hired a cleaning company to clean his house. The cleaning company charges a fixed fee $15 plus $17 per hour to clean a house

Answers

what’s the question?

Sabina had Rs. 50,000. She deposited some amount of it in Sanima Bank
5% p.a. and rest in Agriculture Development bank at 4% p.a. After 3 years
she withdrew her money which amounted to Rs 57080. Find the interes
separately she got from each bank.​

Answers

Thanks for points broski

help me out? thank you so much whoever does :)))

Answers

Answer:

93

Step-by-step explanation:

both of the angles are on a straight line. Therefore, together they add up to 180°. So 180°-87°=93°

Please!!!!!!!
Can someone please help me with this question.
I will mark the first person brainliest if they answer with an actual answer not a link.

Answers

Answer:

It's 5,-5 because you always put the x axis numbers first.

Step-by-step explanation:

I’ll not sure but I think it’s 3/-8

does anyone know this ?


Answers

Answer:

Step-by-step explanation:

√196 = 14

√169 = 13

√121 = 11

√225 = 15

√144 = 12

√100 = 10

Answer:

Hope this helps!!!

Have a great day!!!

√196=14

14*14=196

√169=13

13*13=169

√121=11

11*11=121

√225=15

15*15=225

√144=12

12*12=144

√100=10

10*10=100

question 5. find the total number of unit cubes that fill the entire prism

Answers

Answer:

72

......................

HOW DO YOU SOLVE THESE DIAMOND PATTERNS!!!

Answers

Answer:

Cut them in half and do this

Step-by-step explanation:

1/2(?)(?)

Answer: The pattern of the numbers is constant: On the left and right side of the diamond, you have two numbers, sometimes called factors;In the top part you can find their product; and In the bottom section - their sum

Step-by-step explanation:

PLEASE HELP!!! WILL GIVE BRAINLIEST

Answers

Given:

Angle 1 = 90 (An)

Angle 2= 45 (An)

Angle 3 = 36 (An)

Angle 4 = 50 (An)

Angle 5 = 20 (An)

Find the perimeter show all work

Answers

Answer:

38 cm

Step-by-step explanation:

The perimeter is the sum of the sides

Starting from the left and going clockwise, then

9 + (10 - 6) + (9 - 2) + 6 + 2 + 10

= 9 + 4 + 7 + 6 + 2 + 10

= 38

Answer: 35 cm

Step-by-step explanation: to find the perimeter you add all the sides but sense there is on side that doesn't have a number you subtract 2 from nine then add all the sides plus 7.

Brainliest Which is a true statement about the solutions of the equation x/x-2 = x-3/2x

Answers

I don’t see the statements.

(416-645)x(4965^3)+50222+

Answers

Answer:

It's

−28028073006403

Hope it helps!

Answer: − 2 8 0 2 8 0 7 3 0 0 6 4 0 3

Step-by-step explanation: i assume ur last + was supposed to be = ?

Simplify the expression.
7x2 + 3 - 5(x^2- 4)

Answers

Answer:

2x² + 23

Step-by-step explanation:

Distribute the -5 and combine like terms.

7x² + 3 - 5(x² - 4) =

= 7x² + 3 - 5x² + 20

= 2x² + 23

5. THINK SMARTER There are 246 children at
Debbie's school. There are 328 children
at Jacob's school. Without adding, explain
how you could estimate the number of
children at the two schools.

Answers

Answer:u can estimate 246 to 200 and u can estimate 328 to 300

Step-by-step explanation:

add 34

If x² = 12x – 7 is solved by completing the square,
one of the steps in the process is
1) (x-6)=-43
2) (x+62 = -43
3) (x-6)2 = 29
4) (x + 6 = 29

Answers

Answer: i believe the answer is 4).

Step-by-step explanation:

Because x= + [tex]\sqrt{ 29[/tex] + 6

What is the lateral area and surface area? If you amswer correctly i will mark it as brainliest ​

Answers

Answer:

Lateral area:

L = πdh = 3.14*12*10 = 376.8 in²

Total surface area:

S = L + 2*πd²/4S = 376.8 + 3.14*12²/2 = 602.9 in² (rounded)

please give it to me I'm giving you enough but do it well
these simple equations

Answers

Answer:

em sorry

Step-by-step explanation:

How many solutions does the system of equations below have?
y=x+2
y=x-1
A one
B two
С none
D infinitely many

Answers

Answer:

C

Step-by-step explanation:

Answer:

C:  none

Step-by-step explanation:

Here we have two separate functions named 'y.'  Eliminate 'y' temporarily by equating these functions together:

x + 2 = y = x - 1

Subtracting x from both sides, we get:

0 + 2 = y = 0 - 1, or

       2 = -1

This is never true, so C is the correct answer:  NO solutions.

An easier way in which to do this problem is to visualize the graphs of

y = x + 2 and y = x - 1.  The graphs are parallel straight lines; they never intersect, and therefore we can conclude "no solution."

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

D. Causation implies correlation

Answer:

B. is the answer

Step-by-step explanation:

a can contains 15/16pounds of vegetable. one serving of these vegetable weights1/4pound.what is the total number of servings of vegetables in the can​

Answers

Answer:

The total number of servings of vegetables will be [tex]3\frac{3}{4}[/tex]

Step-by-step explanation:

hope it helps...

have a great day!!

Hi! brainliest giving :)))
Find the volume of a cone with a base circumference of 17π m and a height 4 m less than twice the radius. Give your answer both in terms of π and rounded to the nearest tenth.

Answers

this is the answer:)

2. Jill swam 200 meters in 2 minutes 42 seconds. If each lap is 50 meters long,

which is MOST LIKELY to be her time, in seconds, per lap?

Answers

Answer:

40.5

Step-by-step explanation:

there are 4 laps in 200 metres.

(200m÷50m)

2min 42 sec=120 sec+42sec (162sec)

so,

162÷4=40.5

How much of a radioactive kind of lanthanum will be left after 120 hours if you start with 160
grams and the half-life is 40 hours?

Answers

Answer:

20 grams should be correct

Step-by-step explanation:

1. Find the area of the shaded region.
22cm

Answers

Step-by-step explanation:

dztdxfchvjbkniuklyhj8nuoihyn897uiohy897iuohy87uiohy8nj,bhkbnjomiklj;miojkmojno;ioki987779807u

A person invested $2,500 in an account growing at a rate allowing the money to
doubleevery 11 years. How long, to the nearest tenth of a year would it take for the
value of the account to reach $3,800?

Answers

Answer:

Step-by-step explanation:

A person invested $2,500 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the

value of the account to reach $3,800?

The formula for exponential growth given as:

A(t) = Ao (1/2)^t/t½

A(t) = Amount after time t = $3,800

Ao = Initial amount invested = $2500

t = Time in years

t½ = Time it takes to double = 11 years

Hence,

3800 = 2500(1/2)^t/11

Divide both sides by 2500

3800/2500 = 2500(1/2)^t/11/2500

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