Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why Hij is congruent to klm

Based Only On The Information Given In The Diagram, Which Congruencetheorems Or Postulates Could Be Given

Answers

Answer 1

Answer:

C. HA

D. AAS

Step-by-step explanation:

∆HIJ is a right triangle with a given labelled acute angle and a given hypotenuse, which are congruent to the acute angle and hypotenuse length of ∆KLM, by on the Hypotenuse-Acute Angle Theorem (HA), ∆HIJ and ∆KLM are congruent.

Also, the two triangles have two given angles that are congruent, and a non-included side (hypotenuse), which are congruent in both triangles, by definition of the AAS congruency theorem, both triangles can be said to be congruent.

Therefore, the congruency theorems that could be given as reasons why both triangles are congruent to each other are the HA and AAS theorems.

Answer 2

Answer:

The correct answer is HA and AAS.

Step-by-step explanation:

The HA (hypotenuse angle) states "if the hypotenuse and one acute angle of a right triangle are congruent to the hypotenuse an done acute angle of another triangle, then the triangles are congruent.

The AAS (angle-angle-side) theorem states "If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of a second triangle, then the triangles are congruent.


Related Questions

Find the total area of the shape shown below in square feet

Answers

Answer:

Step-by-step explanation:

256

The required solution for the total area of the shape is 129 square feet.

What is rectangle?

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

In the given diagram, there are two shapes,

One is rectangle whose sides are 16 feet and 5 feet.

And other is square whose side is 7 feet.

Since, the area of rectangle = length x width = 16 x 5 = 80 square feet.

And area of square = (side)² = (7)² = 49 square feet.

Total area of shape = area of rectangle + area of square

                                 = 80 + 49

                                 = 129 square feet.

The total area of the shape is 129 square feet.

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Name the sides of the following angle.

Answers

Answer:

your answers c. v t and t w

Answer:

TV and TW

Step-by-step explanation:

Which addition does the model below represent?

3 + (negative 1)
3 + 4
3 + (negative 4)
3 + 1

Answers

Answer:

The correct answer is 3 + -4.

Step-by-step explanation:

First the arrow begins at 0 and moves to the right 3 spaces positive, ending at 3. Then it moves backwards, which is subtracting left 4 spaces towards -1 past zero. When adding a negative to a positive, you convert it to subtraction. 3 + -4 is the same as 3 - 4. We know 4 - 3 normally is 1, but the other way around, since 4 is more than 3, we go one extra space negative to -1. Therefore, 3 + -4 is the answer.

a ___ inequality in which each term is either a constant or the product of a constant and a single variable

Answers

A linear inequality is an inequality in which each term is either a constant or the product of a constant and a single variable.

In mathematics, an inequality expresses a relationship between two quantities using symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to). A linear inequality specifically refers to inequalities where the terms involved are either constants or the product of a constant and a single variable.

For example, consider the linear inequality 3x - 2y < 5.

Here, the terms 3x, -2y, and 5 satisfy the criteria of a linear inequality as they involve constants (3 and -2) and a single variable (x and y).

The multiplication of constants and variables is allowed in linear inequalities as long as each term follows the specified conditions.

Linear inequalities are commonly used in various fields of mathematics, economics, and sciences to represent relationships between quantities, such as constraints in optimization problems or conditions for feasible solutions.

They provide a framework for analyzing and modeling real-world situations where variables are subject to certain limitations or conditions.

In summary, a linear inequality is an inequality where each term is either a constant or the product of a constant and a single variable, allowing for the representation of relationships between quantities in various mathematical and real-world contexts.

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If $120 doubles in approximately 13 years, what is the interest rate?

Answers

Answer:

33.3%

Step-by-step explanation:

Simple Interest = Principal * Rate * Time/100

Amount = Principal + Interest

If  $120 doubles in approximately 13 years, then the amount after 13years = 2*$120 = $240

Interest = $240-$120

Interest = $120

120 = 120*Rate * 13/100

1 = 13Rate/100

13rate = 100

rate = 100/3

rate = 33.3%

Hence the interest rate is 33.3%

A textbook store sold a combined total of 255 math and sociology textbooks in a week. The number
of math textbooks sold was 55 more than the number of sociology textbooks sold. How many textbooks
of each type were sold?

Answers

Answer:

c + s = 258

s = c - 60

---

c + s = 258

c + c - 60 = 258

2c - 60 = 258

2c = 318

---

c = 159

s = 99

Step-by-step explanation:

A package of 16 individual bags of Takis cost $12.80. If each bag contains 12 ounces, what is the unit cost per ounce?

Answers

Answer:

$0.067

Step-by-step explanation:

Total cost of 16 bags = $12.80

weight in 1 bag = 12 ounce

weight in 16 bag = 16 * weight in 1 bag

weight in 16 bag = 16* 12 ounce = 192 ounce

Thus,

192 ounce cost = Total cost of 16 bags= $12.80

cost of 182 ounce = $12.80

to find cost of 1 ounce , we divide both side by 182

cost of 1 ounce = 12.80/192 = $0.067

Thus,

the unit cost per ounce is $0.067

HURRY NEED HELP WITH THIS MATH

Answers

I think the answer is C

What is the greatest common factor of 30b^2, 80b^2, and 20b^2

Answers

Answer:

10b²

Step-by-step explanation:

First, let's look at the coefficients. The greatest common factor of all three numbers 30, 80, and 20, is 10. Now, let's look at the variables. All three terms are divisible by b² (with no remainder). We can combine 10 and b² so they become one term, and that is the GCF. 10b².

PLEASE HELP ME PLSSSSSSSSZZ

Answers

Answer:

The answer is 5.

Step-by-step explanation:

Use order of operations. Parentheses come first, so I will compute what is in parentheses first. 11-3 is 8. Then, division comes next. I will divide 8 by 2 to get 4. Lastly, add 1 to get 5.

What is added to2/4 added to1/3?​

Answers

Answer:

5/6, multiply the denominators so that they are the same number. multiply their numerators by the same number you did for the denominator. 2/4 becomes 6/12 and 1/3 becomes 4/12. then you add them and simplify.

If the complement of an angle is 32 degrees, what is the measure of the supplement

Answers

Answer:

122

Step-by-step explanation:

The complement of an angle adds up to 90.

The supplement of an angle adds up to 180.

So if the unknown angle has a complement of 32, then that angle has to be 58.   32 + 58 = 90.

You now know the angle is 58 so the supplement is

180 - 58  which is 122

Write an equation in point-slope form of the line through point J(4,1) with slope -4. Help

Answers

Answer:

for example...

Step-by-step explanation:

dame un ejemplo!!

Answer:

(y-1)= -4(x-4)

Step-by-step explanation:

point slope form is y - y1= m (x - x1) so just plug in the slope and the (x,y).

a tax accountant requires 2 1/2 hours to prepare a personal tax return and 4 7/8 hours to prepare a small business tax return. how much longer does it take the accountant to prepare the small business tax return

Answers

Answer:

2 3/8 hours longer

Step-by-step explanation:

Please mark Brainliest when able.

How do you write 8,300 in scientific notation?

Answers

Answer:

8.3 x 10³

Step-by-step explanation:

8,300 can be written as

8.3 x 1000  (re-writing 1000 in terms of powers of 10, 1000 = 10³)

= 8.3 x 10³

What is the image point of (3, 1) after a translation left 3 units and up 3 units?

Answers

Answer:

0,4

Step-by-step explanation:

Question is in the picture

Answers

The formula that describes the average revenue per person in terms of weeks since the movie debuted is R = 1.4 / w².

How to calculate the value

Given:.M = 350w

T = 250w³

In order to find the average revenue per person (R), we divide M by T:

R = M / T

Substituting the given formulas:

R = (350w) / (250w³)

Now, let's simplify this expression:

R = 350w / 250w³

R = (350 / 250) * (w / w³)

R = 1.4 * (1 / w²)

R = 1.4 / w²

Therefore, the formula that describes the average revenue per person in terms of weeks since the movie debuted is R = 1.4 / w².

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find the airthmetic mean
x= 10-20, 20-30,30-40,40-50,50-60,60-70,70-80
F= 4,10,5,7,3,4,2

Answers

Answer:

x

Step-by-step explanation:

I need math people, please
ok so my parents have a small bouncy house company and I work with them and I get paid 5 dollars an hour which is fine because I'm literally 13 but anyway
These past 2 weeks I've worked 6 hours and 48 minutes so since I get paid 5 dollars an hour how much money would that be?

Answers

Answer:

it's 60 dollars if I'm wrong in sorry

I think it should be 30 dollars and something ...
If I am wrong sorry

an object accelerates 16m/s2 when a force of 4N is applied what is the mass​

Answers

Answer:

0.25kg

Step-by-step explanation:

Newton's second law states that Force=Mass x Acceleration.

Since we are given two of the three values, we can plug them into this equation to solve for the third: Mass.

Force = 4N

Acceleration = 16m/s/s

4 = Mass x 16

Divide both sides by 16 so Mass is by itself on one side:

4/16 = Mass x 16/16

0.25 = Mass

The mass of the object is 0.25 kg (SI Units).

Hope this helped!

I think the answer is 0.25kg :)

Question is below

A. x + 2
B. x + 3
C. x - 2
D. x + 1

Answers

Answer:

D. x + 1

Step-by-step explanation:

The expression[tex] \frac{x^2+3x+2}{x+2} [/tex] can be simplified as follows:

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

Doing middle term factorisation

[tex]= x^2+(2+1)x+2[/tex]

[tex]=x^2+2x+1x+2[/tex]

[tex]=(x + 2)(x + 1)[/tex]

Again

Dividing both side by x+2.

[tex]\frac{x^2 + 3x + 2}{x + 2} = \frac{(x + 2)(x + 1)}{x + 2}[/tex]

we get

[tex]\frac{x^2 + 3x + 2}{x + 2}= x + 1[/tex]

Therefore, the expression

[tex]\frac{x^2+3x+2}{x+2}[/tex] is equivalent to D. x + 1.

Note that the expression is only equivalent to x + 1 when x is not equal to -2. If x = -2, then the expression is undefined.

How to solve 4x-10>x/3-12 step by step showing to to get rid of fractions

Answers

Answer:

x > -6/11

Step-by-step explanation:

4x - 10 > x/3 - 12

~Simplify

4x - 10 > 1/3x - 12

~Add 10 to both sides

4x > 1/3x - 2

~Subtract 1/3x to both sides

11/3x > -2

~Multiply 3/11 to both sides

x > -6/11

Best of Luck!

If u (x) = negative 2 x squared and v (x) = 1/x, what is the range of (u circle v) (x)? (1/3, 0) (3, infinity) (negative infinity, 3) (negative infinity, positive infinity)

Answers

The range of (u ∘ v) (x) is (negative infinity, positive infinity).

To find the range of (u ∘ v) (x), we need to determine the possible output values of the composite function (u ∘ v) (x), which is formed by applying function u to the output of function v.

1. Let's start by evaluating the composite function (u ∘ v) (x):

  (u ∘ v) (x) = u(v(x))

2. Substitute v(x) into function u:

  u(v(x)) = u(1/x)

3. Replace u(x) with its given expression:

  u(1/x) = -2(1/x)^2

4. Simplify the expression:

  u(1/x) = -2/x²

5. Now, we need to determine the possible values of -2/x². Since x can take any real value except 0 (as 1/0 is undefined), the expression -2/x² will vary based on x.

6. As x approaches negative infinity, -2/x² approaches 0 from the negative side.

  As x approaches positive infinity, -2/x² approaches 0 from the negative side as well.

7. Therefore, the range of (u ∘ v) (x) is (negative infinity, positive infinity), which means that the composite function can take any real value.

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Jorge runs 12 yards 6 seconds. What is the rate
of how fast Jorge runs?

Answers

Jorge runs 2 yards per second this is because if you divide 12 by 6 you would get 2

Solve the equation for y.

9x + 3y = -3

Answers

Answer:

-3-9x/3=y or just 9x if you divide completely by the 3

You can finish 9 math problems in 20/3 minutes. What is your unit rate of problems per minute? (Please help now!)

Answers

Answer:

You can finish 1 problem (rounded) or 1.35 problems

Step-by-step explanation:

6 2/3 minutes=9 math problems

1 minute=1.35

?
0.07
What is 70 x 10^2

Answers

Answer:

7000

Step-by-step explanation:

I think this is the answer

The paragraphs below come from the rental agreement signed by a customer when they set up an account at Super Video.

“All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid.”

According the rental agreement, which of the following is not a responsibility of the customer?
a.
Pay a $1.50 late fee per movie per day past the due date.
b.
Get his or her rentals back by midnight the day they are due.
c.
Return a rental item kept out thirteen days past the due date.
d.
Pay the purchase price and five days of late fees for any item kept more than five days past the due date.

Answers

Answer:

C) Return a rental item kept out thirteen days past the due date.

Step-by-step explanation:

Right on edge2020

All rentals are due back by midnight of the due date as printed on the transaction receipt.  Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale.  The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid.

According the rental agreement, Returning a rental item kept out thirteen days past the due date is not a responsibility of the customer.

The responsibilities of the customerReturn the rentals by the due date in the receipt.To pay a late service charge once due by each day.Buy the item after the 5th day following the failure to return it.

These are all the responsibilities expected of the consumer when they do not follow due process. Returning the rental after 13 days is not a responsibility here.

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Remove the parentheses from the following expression, and combine like terms: (a + b - c) + 3a - 2c

Answers

Answer:

4a + b - 3c

Step-by-step explanation:

you combine a and 3 a, there is nothing to add to be, and since both c's are negative you get - 3c

Answer:

4a + b - 3c

Step-by-step explanation:


1. Name the property the equation illustrates.
a + C + 2b = a + 2b + c
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Identity Property of Addition

Answers

Answer:

communtative propperty of addition

Step-by-step explanation:

search up what the communitve property is

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