In the figure below, ∠HFG≈HKJ and ∠HF≈HK

Using the information provided, select the triangle congruence criterion that can BEST be used to prove that
ΔHFG≈ΔHKJ.

A. angle-angle-side (AAS)
B. angle-side-angle (ASA)
C. side-side-angle (SSA)
D. side-angle-side (SAS)

In The Figure Below, HFGHKJ And HFHKUsing The Information Provided, Select The Triangle Congruence Criterion

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The triangles ΔHFG and ΔHKJ are congruent with each other by ASA postulates. Then the correct option is B.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔHFG and ΔHKJ, then the condition is given as,

∠HFG = ∠HKJ          (Given)

HF = HK                    (Given)

∠FHG = ∠JHK          (Vertically opposite angles)

The triangles ΔHFG and ΔHKJ are congruent with each other by ASA postulates. Then the correct option is B.

More about the triangle link is given below.

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Related Questions

try to zoom in the picture if you can’t see the numbers , but can someone please help me with this ?

Answers

Step-by-step explanation:

This is my answer, if you need it

Write an equation in Standard form for a line that goes through the points
(-2,-6) and (3, 4).

Answers

Using the point slope equation, we first calculate the slope
m=(4-(-6))/(3-(-2) = 10/5 =2

Now we can choose either point to get the equation
y-(-6) = 2(x-(-2))
y+6 = 2x+4
Subtract 6 from both sides
Y=2x-2

what is the value of this example?

[tex] \frac{1}{6} | \div 12[/tex]

Answers

Answer: I will give you the answer in fraction form and in decimal form. Here is 1/6 divided by 12... Answer: 1/72

Step-by-step explanation:

algebraically find the x-coordinates where the line y=2x+3 intersects the circle (x-3)^2 + (y+6)= 50
** please help its due soon **

Answers

Answer:

x = {-4, -2}

Step-by-step explanation:

To find the intersection we need to solve the system:

y = 2x + 3(x - 3)² + (y + 6)² = 50

Solve by substitution, replace y with 2x + 3 in the second equation:

(x - 3)² + (2x + 3 + 6)² = 50x² - 6x + 9 + 4x² + 36x + 81 - 50 = 05x² + 30x + 40 = 0x² + 6x + 8 = 0x² + 6x + 9 = 1(x + 3)² = 1x + 3 = ± 1x = -4, x = -2

A car travelling at a constant speed travels 90km in 50 min .How far travelling at the same constant speed will the car travel in 2 hours and 25 minutes?​

Answers

Answer:

261 km

Step-by-step explanation:

given,s=constant

d1/T1=d2/T2

d1=90km,t1=50 min

d2=? ,t2=(120+25)min

=145min

therefore,d2=(90×145)/50

=261 km


Last summer, Marrero was at Newgrange, a stone mound in Ireland that has a diameter of 250 feet. He found a walkway 62 feet long that leads to the center of the mound. Help Marrero find perpendicular distance x from the end of the walkway to either side of the mound.

Answers

Answer:

108 ft

Step-by-step explanation:

The line connecting the center with the end of the walkway is radius and is the hypotenuse of the right triangle.

Horizontal leg is the distance x.

Vertical leg has the length:

(250)/2 - 62 = 63 ft

Using Pythagorean theorem to find the length of x:

x² = (250/2)² - 63²x² = 125² - 63²x² = 11656x = √11656x = 107.96 ≈ 108

an element with mass 630 grams decays by 18.8% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?

Answers

Answer:

Step-by-step explanation:

Total Depreciation: 60.24%

Total depreciation: $9,759.50

Car Value after 6 years: $6,440.50

The element is remaining 146.6 grams after 7 minutes, to the nearest 10th of a gram.

What is exponential decay?

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Given:

An element with mass 630 grams decays by 18.8% per minute.

That means, 18.8% = 0.188

Here, we will use the exponential decay function.

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Here,

A₀ = 630 grams

r = 0.188

x = 7 minutes

Substituting the values to the formula,

A₇ = 630(1-0.188)⁷

A₇ = 630(0.812)⁷

A₇ = 630(0.23275134787)

A₇ = 146.633

A₇ = 146.6 grams.

Therefore, element is remaining 146.6 grams.

To learn more about the exponential decay;

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Find a solution to the equation 4(x + 7) = 38

Answers

Answer:

4(x+7)=38

4x+28=38

4x=38-28

4x=10

(divide by 4)

x=2whole number 2/4

=2whole number 1/2

or x=2.5

I need help with this question

Answers

Answer:

Part A

D

Part B

76

Step-by-step explanation:

I don't know how to explain it

Which of these is a function please answer.

Answers

Answer:

1 and 3

Step-by-step explanation:

Answer:

Options 1 and 4

Step-by-step explanation:

Option 1

x-values are different and y-values are sameThis is a function

Option 2

x-values are repeated (3) with different y-valuesThis is not a function

Option 3

x-values are repeated and y-values are differentThis is not a function

Option 4

x- values are different, y-values are differentThis is a function

Reflect across the y-axis. Fill in the new coordinates below:

Answers

Answer:

A(-1,2)

B(-4,4)

C(-3,1)

Step-by-step explanation:

simply reflect across the y-axis. pls give brainliest

. Find f(3) for the following function


[tex]f(x)=3(2)^x+6[/tex]

a.f(3) = 222
b.f(3) = 9
c.f(3) = 24
d.f(3) = 30

Answers

Answer:

[tex]\boxed {\boxed {\sf D. \ f(3)= 30}}[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)= 3(2)^x+6[/tex]

We want to find f(3), so we must substitute 3 in for x.

[tex]f(3)= 3(2)^3+6[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Solve the exponent first.

2³= 2*2*2= 4*2= 8

[tex]f(3)= 3(8)+6[/tex]

Multiply 8 and 3.

[tex]f(3)= 24+6[/tex]

Add.

[tex]f(3)=30[/tex]

For the function given, f(3) is 30.

D is the correct answer

find the inverse of y=100-x^2

Answers

Answer:

The inverse  is ±sqrt(100-x)

Step-by-step explanation:

To find the inverse, exchange x and y

x = 100 -y^2

Solve for y

Subtract 100 from each side

x - 100 = -y^2

Divide by -1

-x +100 = y^2

Take the square root of each side

±sqrt(100-x) = sqrt(y^2)

±sqrt(100-x) =y

The inverse  is ±sqrt(100-x)

If the following data were linearized using logarithms, what would be the equation of the regression line? Round the slope and y-intercept of the regression line to three decimal places. y 2 21 3 69 4 261 5 1029 6 4101​

Answers

Answer:

log y = 0.576x + 0.139

Step-by-step explanation:

Given data:

x  |  2   |   3   |  4    |   5      |  6     y  | 21   |  69 | 261  | 1029  |  4101​

Logarithms of y-values:

log 21 = 1.322log 69 = 1.839log 261 = 2.417log 1029 = 3.012log 4101 = 3.613

The ordered pairs:

(2, 1.322), (3, 1.839), (4, 2.417), (5,3.012), (6, 3.613)

Using an online calculator found the equation of the regression line:

y = 0.576x + 0.139

In our case it is:

log y = 0.576x + 0.139

If f (x) = x-5 and g(x) = 4x what is the value off [g(4)]?​

Answers

Step-by-step explanation:

f[g(4)]

g(x) = 4x

g(4) = 4(4)

= 16

f(x) = x-5

f[g(4)] = f(16) = 16 - 5 = 11

So, f[g(4)] = 11


Circle the volume, in cm^3, of a cylinder with radius 5 cm and height 8 cm
[1 mark]
A)40π
B)80π
C)200π
D)1600π

Answers

Answer:

C

Step-by-step explanation:

Volume of a cylinder is πr²h

V = π * 5² * 8

V = π * 25 * 8

V = π * 200

V = 200π

plz plz help plz plz​

Answers

Answer:

1

Step-by-step explanation:

when dividing numbers with exponents with the same base, subtract the exponents.

[tex]\frac{8^{7} }{8^{7} }[/tex]

7 - 7 = 0

[tex]\frac{8^{7} }{8^{7} }[/tex] = [tex]8^{0}[/tex]

anything to the power of 0 is 1

[tex]8^{0}[/tex]= 1

Answer:

1

Step-by-step explanation:

Any number divided by itself equals 1 with the exception of 0 since 0/0 is undefined.

8^7 is not equal to zero, so without doing any calculations or using any other rules, we know that

8^7/8^7 = 1

We can use the rule of exponents for dividing powers.

Rule:

[tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]

Here we have a = 8, m = 7, and n = 7.

Applying the rule, we get

[tex] \dfrac{8^7}{a^7} = 8^{7 - 7} = 8^0 [/tex]

Another rule of exponents:

[tex] a^0 = 1 [/tex]

We the zero power rule now:

[tex] 8^0 = 1 [/tex]

Therefore,

[tex] \dfrac{8^7}{a^7} = 1 [/tex]

Answer: 1

Garth is building a square shaped frame for a mirror. The area of the mirror is 144 square inches. How long is each side of the frame, in inches?

Answers

Answer: 12 inches

Step-by-step explanation:

This is a square shaped mirror which means that it takes the shape of a square.

All sides on a square are equal and because the way the find the area of a square is to multiple the Length by the Width, you would be squaring the same number to find the area.

Length of each side = √area

= √144

= 12 inches

Jessica picks tomatoes in her garden. She fills several bags. This line plot shows the weight of each bag.

How many more pounds does one of the heaviest bags weigh than one of the lightest bags?

Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Answer:

1 1/4 is the answer

Step-by-step explanation:

What is the constant term in the expression 6׳y + 5× + 4
PLEASE HELP ME OUT I begging you guys p.s. if u give me the correct answer I'll give u brainillesst points

Answers

Answer:

the constant is x

Answer:

its 4

Step-by-step explanation:

Find the value of x.

Answers

Answer:

6

Step-by-step explanation:

Because they are the same

David has 48 baseball cards. Toby has 25% more cards than David. How many cards does Toby have?

Answers

Answer:

he has 60

Step-by-step explanation:

25% of 48 is 12, he has 12 more cards then david

Gregs parents tell him if he works more than 60 hours in May, they will buy him a new lawn mower. In the month of May, Greg earns $1,387-50. Are Greg's parents going to buy Greg a new lawn mower?How many hours did he work?Expain using math terms and words.​

Answers

Answer:

how much money did he make an hour ?? you cant calculate hours if you dont know his rate

Step-by-step explanation:

total made / hourly rate = hours worked and then you can determine if he gets a lawn mower

Write all the factors of 26
Use commas to separate them.

Answers

1,2,13,26

Theses are the factors of 26

    26

------------

1      |     26

2     |     13

1,2,13,26

---

hope it helps

A 10 METER PIECE OF WIRE IS CUT IN TO TWO PIECES ONE PIECE IS 2 METERS LONGER THAN THE OTHER HOW LONG ARE THE PIECES

Answers

one piece is 6m and the other is 4m

one piece is 2m

one is 8m

Jessica has 1,386 books. She must pack them into boxes to ship to a bookstore. Each box holds 10 books. How many boxes will she need to pack all of the books?

Answers

You would divide then round up 1,386÷10= 139

A. f(x) =1/2 (4,000)^x

B. f(x) = 4,000(2)^x

C. f(x) = 2,000 (1/2)^x

D. f(x) = 4,000 (1/2)^x

Answers

the answer is b sit

4s - 3
9r - 17
3r + 13
7s
Solve for s

Answers

Step-by-step explanation:

step 1. the diagram is very unclear and should be redone

step 2. I'll assume 9r - 17 and 3r + 13 are vertical angles and are equal

step 3. 9r - 17 = 3r + 13

step 4. 6r = 30 or r = 5

step 5. I'll assume 4s - 3 and 7s - 24 are alternate interior angles and are equal

step 6. 4s - 3 = 7s - 24

step 7. 3s = 21 or s = 7.

Write the fraction as a decimal.
Round to the nearest hundredth.
7/18~ [?]

Answers

Answer:

0.39

Step-by-step explanation:

7/18= 3.888888888

round up

0.39

factorise p² + pq - p³ - q² completely ​

Answers

Answer:

The expression is not factorable with rational numbers.

p ^2 + p q − p ^3 − q ^2

Step-by-step explanation:

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