Use the Side, Side, Side Rule (SSS) to prove that the triangles in each pair are congruent. Draw hash marks to show the congruent sides. Then write a congruence statement for each pair of triangles

Use The Side, Side, Side Rule (SSS) To Prove That The Triangles In Each Pair Are Congruent. Draw Hash

Answers

Answer 1

Answer:

(1) ΔMAN ≅ ΔBOY

(2) ΔMAT ≅ ΔRUG

(3) ΔEBN ≅ ΔUHR

(4) ΔTOP ≅ ΔLID

(5) ΔCAT ≅ ΔDOG

(6) ΔITP ≅ ΔLOH

Step-by-step explanation:

The following combinations of the congruent triangle facts will be sufficient to prove triangles congruent.

The combinations are:

(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.

(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.

(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.

(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.

Part (1):

As we are given two triangles.

Side AM = Side OB

Side MN = Side BY

Side AN = Side OY

That means,

ΔMAN ≅ ΔBOY

Part (2):

As we are given two triangles.

Side MA = Side RU

Side MT = Side RG

Side AT = Side UG

That means,

ΔMAT ≅ ΔRUG

Part (3):

As we are given two triangles.

Side EB = Side UH

Side BN = Side HR

Side NE = Side RU

That means,

ΔEBN ≅ ΔUHR

Part (4):

As we are given two triangles.

Side OT = Side IL

Side OP = Side ID

Side PT = Side DL

That means,

ΔTOP ≅ ΔLID

Part (5):

As we are given two triangles.

Side AC = Side OD

Side AT = Side OG

Side TC = Side GD

That means,

ΔCAT ≅ ΔDOG

Part (6):

As we are given two triangles.

Side TP = Side OH

Side IT = Side LO

Side IP = Side LH

That means,

ΔITP ≅ ΔLOH

Answer 2

Answer:

hehe boi

Step-by-step explanation:


Related Questions

Can y’all help me on question 9?!

Answers

the answer is 36 because 12x3 is 36 and there are three of those triangles

[tex] \underbrace{ \huge \mathcal{Answer }}[/tex]

The Given Trapezoid is divided into three equal triangles, Therefore, Area of Trapezoid is :

[tex] \mathrm {3 \times (area \: \: of \: \: each \: \: triangle)}[/tex]

[tex]3 \times 12 \: in {}^{2} [/tex]

[tex]36 \: \: in {}^{2} [/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

NEED FAST HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3rd

Step-by-step explanation:

i got a 100

In 2006 the number of tickets sold was 210.
The ratio Number of adult tickets: Number of student tickets was 23:19.
How
many
adult tickets were sold?

Answers

Answer:

115

Step-by-step explanation:

There were 115 adult tickets were sold.

What is ratio?

A ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.

Given that, the number of tickets sold was 210. The ratio Number of adult tickets: Number of student tickets was 23:19.

Let the number of tickets sold for adults be 23x and for students be 19x

Therefore, 23x+19x = 210

42x = 210

x = 210/42

x = 5

So,  Number of adult tickets = 5x23 = 115

Hence, There were 115 adult tickets were sold.

For more references on ratios, click;

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32x+(1987x)+674-88*=

Answers

Answer:2019x+-88

Step-by-step explanation: remove the parentheses which leaves you with 32x+1987x+674-88

then collect like therms (all the x's)  - 2019x+674-88

get your answer

What is X? (I forget how to do this)

Answers

Answer:

180-35=145

x=145

*I did not use 180 because the number on the other side is 180 i used it because a straight angle is equal to 180*

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

When you get two lines crossing like this, and one of them is given as in the diagram, then the other one which shares a common ray with it, is the supplement to the given angle.

x = 180 - 35

x = 145.

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

I think it’s the first choice
Three and nine hundred four thousandths

9514 1404 393

Answer:

(a) three and nine hundred four thousandths1, .1 .01, .001

Step-by-step explanation:

(a) For numbers in word form, the word "and" is usually used to signify the location of the decimal point. The number left of the decimal point is "three", and the number right of the decimal point is "nine hundred four thousandths". Then the number in word form is ...

  "three and nine hundred four thousandths"

__

(b) The numbers in the boxes are the respective place value multipliers of the digits. The units (ones) place is where the 3 is located. Each digit to the right has a place value multiplier that is 1/10 of that to its left.

   [tex]3.904=3\times\boxed{1}+9\times\boxed{.1}+0\times\boxed{.01}+4\times\boxed{.001}[/tex]

We have shown the numbers in standard form, but it would also be mathematically correct to use fractional or exponential form. For example, 0.1 = 1/10 = 10^-1. (We don't know what form your computer expects.)

A recipe calls for 24 ounces of oil and 8 ounces of vinegar. Kim is making dressing with 12 ounces
of vinegar using the same ratio of oil to vinegar

How much oil should kin use?Complete the Table

Answers

Answer:

36 ounces.

Step-by-step explanation:

The ratio being 24:8 can be simplified to 3:1

Multiply the one (the vinegar) by a factor of 12

What happens to one side has to happen to the other

12(3:1)

36 ounces.

Answer:36

Step-by-step explanation:

The length of a rectangle is 4 meters more than the width of the rectangle. The perimeter of the rectangle is 40 meters. What are the length and the width of the rectangle? *

Answers

Answer:

snsjduddiebidjddkddnjdnkdkskidndjndjxdn in dhjsndjsjeidndjdjddixdjdnejd

simplify this fully x+x+y×y​

Answers

Answer and Step-by-step explanation:

The answer would be 2x + 2y.

This is because we combine the x's together and the y's together. This is the simplest form of the expression.

#teamtrees #PAW (Plant And Water)

Answer:

2x+y^2

Step-by-step explanation:

Collect like terms and rewrite

2x+y*y

Someone help me please
whats the real cube root of -1 over 27

Answers

9514 1404 393

Answer:

 -1/3

Step-by-step explanation:

∛(-1/27) = ∛((-1/3)³) = -1/3

PLEASE HELP ASAP I NEED THIS LIKE RIGHT NOW NO LINKS OR WILL BE REPORTED! SHOW ALL OF YOUR WORK! 3. The area of the square rug is 484 feet squared. (a) What is the length of one side? Write it as a square root. SHOW ALL OF YOUR WORK. (Hint: How do you find the area of a square? What is the equation?) (b) write the area as a number squared SHOW ALL OF YOUR WORK​

Answers

Answer:

well,

it's more than (20ft)²

bc 20*20 =400

21² = 21 * 21 = 441

getting closer...

22² = 22 * 22 = 484

[tex] \sqrt{484} = {22}^{2} [/tex]

yet, we arrived, short trip tough, pls leave the bus in an orderly manner

Which unit of measure would be appropriate for the area of a picture that is
20 centimeters tall and 15 centimeters wide?
A. Meters
B. Cubic centimeters
C. Square centimeters
D. Centimeters

Answers

Answer:

C:  Square centimeters

Step-by-step explanation:

We are measuring length here, not volume, so recognize that this fact eliminates Answer B.  The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C:  Square centimeters.

Square Centimeters is the right answer

(it wont ley me put 2 pictures so the question to this problem is) what is the longest name length? (i mark brainlist) :)

Answers

9
Same thing applies to this answer as to the last answer I posted

Multiply. Express your answer in simplest form.

Answers

Answer:

7 1/2, 7.5 .

Step-by-step explanation:

just trust me

(3 3/4) × (2 2/9)

= 15/4 × 20/9

= 300/36

= 25/3

= 8 1/3

The sum of two numbers in 106 and the greater exceeds the lesser in 8. Find the numbers.

Answers

Step-by-step explanation:

51 and 51

maybe

hope it help u

Please help me! I will give you Brainlist if you get it right!​

Answers

Answer:

B

Step-by-step explanation:

Have a nice day

Answer:

B as well

Step-by-step explanation:

As you can work out the area of rectangle by l ×w

which is 18×36 =648

and you can also work out the area of a segment which is

[tex]\pi \times {r}^{2} \div 2[/tex]

so pi ×18^2÷2 and then add 648 you get 1156.9.


The surface area of a square pyramid is 125 square feet. The base length is 5 feet. What is the slant height?

Answers

Answer:

10.31 ft

Step-by-step explanation:

the base is 25 ft²

leaves 100 ft² for the 4 sides on top

so each triangle got 25ft²

the base length of the triangle is 5ft, bc it's the base length of the pyramid

so the height of the triangle is 10ft,

bc only then do we get a surface area of 25ft²

(b * h /2) for the triangle

now that we got base length and height,

let's look for the slant

we recall the pythagoras stuff to get the missing side of the triangle. but notice that we need to split the triangle in half to get a 90° angle.

leaving us with 10ft (height) and 2.5ft

slant² = 10² + 2.5²

slant² = 106.25

slant = sqrt(106.25)

slant = 10.31

The answer is 10.31

convert 6 miles to meters​

Answers

Step-by-step explanation:

6miles= 9656.064 metres

Answer:

The answer is 9656.064 meters.

HELP‼️⚠️‼️⚠️‼️⚠️‼️⚠️‼️
Which polynomial is prime?
O 3x^3+3x^2-2x-2
O 3x^3-2x^2+3x-4
O 4x^3+2x^2+6x+3
O 4x^3+4x^2-3x-3

Answers

Answer:

There is either No Answer or

B See if the computer or your maker will take B, but the real answer is that there is no answer.

Step-by-step explanation:

Prime polynomials cannot be factored.

x^2 + 4 can't be factored.

x^2 - 4 can be factored and is not prime

x^2 - 4 = (x + 2)(x - 2)

A) is not prime

3x^2(x + 1) - 2(x + 1)       x + 1 is a common factor

(3x^2 - 2)(x + 1)

B) Not sure. I'll look at the rest. It has a common divisor (x - 1) which turns the result into 0. I don't think you've likely taken this yet, but the answer is        (x - 1)(3x^2 + x + 1), so although this one is not prime, it is not done the same way as the other three. It likely is the answer, but I sure would be tempted to report it to your instructor.

C) 3x^2(x + 1) - 2(x + 1)   x + 1 is a common factor. C is not the answer.

D D is done the same way that A and C are done.

4x^2(x + 1) - 3(x + 1) and x + 1 is a common factor.

So the answer might be B. It doesn't look like it factors the same way as the other three

Answer: D. 2x4+x3–x+2 is prime

Step-by-step explanation:

A prime polynomial is a polynomial that can't be factored. Hope I helped

Question 5 of 20 :
Select the best answer for the question.
5. Determine the diameter of a circle with circumference units.
O A. Tt2 units
O B. 1 unit
O C. T units
O D. 2 units
Mark for review (Will be highlighted the review page)
<< Previous Question
Next Question >>

Answers

Answer:

B. 1 unit

Step-by-step explanation:

the circumference of a circle is

Cc = 2×pi×r

r = radius = diameter / 2

now we need to find the diameter (= 2×r) of a circle with the circumference of pi.

=>

pi = 2×pi×r

1 = 2×r = diameter

so, the diameter is 1 unit.

van wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
A. 1 × 32, 2 × 16, 16 × 2, 32 × 1
B. 1 × 32, 2 × 16, 3 × 12, 4 × 8, 32 × 1
C. 1 × 32, 2 × 16, 3 × 12, 4 × 8, 8 × 4, 12 × 3, 32 × 1
D. 1 × 32, 2 × 16, 4 × 8, 8 × 4, 16 × 2, 32 × 1

Answers

Answer:

1*32, 2*16, 4*8, 8*4, 16*2, 32*1

Step-by-step explanation:

there are 500 pounds of almonds to package If each package contains two-fifths pounds of almonds how many packages are needed

Answers

Answer:
2000
Step-by-step explanation:
500/0.25. :) hope this helped

Fraser scores 70% in a spelling test with 20 questions. How many did he get right? (Working out please)

Answers

Answer:

He got 14 right

Step-by-step explanation:

Percent means out of 100

70% means 70/100

We know there were 20 questions

We can write a ratio

70/100 = x /20

Using cross products

70*20 = 100x

1400 = 100x

Divide by 100 on each side

1400/100 = 100x/100

14 =x

He got 14 right

Answer:

I believe he got 14 right and 6 wrong

Step-by-step explanation:

if 10% is 2 questions each question is worth 5 points to make up of 100 (100 divided by 20 = 5) and there are 100 points in the quiz then every 2 right would be 10% count until you get 70% and you got your answer :) please mark brainliest and have a good day

Which of the following is the inverse of y=3x?

Answers

Answer:

optin 2

Step-by-step explanation:

swap x and y:

[tex]y = 3^x\\\\x = 3^y\\\\log (x) = y log(3)\\\\y = \frac{log (x)}{log(3)} \\\\y = log_3(x)[/tex]      [tex][ using \ the\ rule :\frac{\log _c\left(b\right)}{\log _c\left(a\right)}=\log _a\left(b\right)][/tex]

Is the following statement possible or impossible?

Answers

Impossible

Hope this helps! :)

Answer:

Impossible

Step-by-step explanation:

Based on the Inequality Theorem, in any triangle, the sum of any two sides will be larger than the length of the thrid side. If the side lengths do not follow this rule, then that means that you can not create a triangle with such side lengths. In our case, the sum of two sides with lengths 1 and 8 is 1 + 8 = 9 and 9 is not greater than the length of the third side which is also 9. Therefore, it is impossible to build a triangle with such lengths.

A factory robot found flaws in 6 out of 36 bulbs . Considering this data, how many flawed bulbs would the robot be expected to find in a batch of 84 bulbs?

Answers

Answer:

14

Step-by-step explanation:

that is the procedure above

Triangle Q S R is shown. Angle Q S R is a right angle. Altitude s is drawn from point S to point T on side Q R to form a right angle. Side Q S is labeled r and side W R is labeled q. The length of Q T is 10 and the length of R T is 4.

What is the value of q?

4 StartRoot 5 EndRoot
2 StartRoot 14 EndRoot
20 StartRoot 5 EndRoot
64 StartRoot 5 EndRoot

Answers

Answer:

2 StartRoot 14 EndRoot

Step-by-step explanation:

To solve for q, we apply the leg rule theorem :

The hypotenus = 10 + 4 = 14

Leg 1 = q

Part1 = 4

According to the leg rule theorem :

Hypotenus / leg 1 = leg 1 / part 1

14 / q = q / 4

Cross multiply :

q * q = 14 * 4

q² = 56

q = √56

√56 = √4 * √14 = 2√14

Answer:

B

Step-by-step explanation:

edge 2021

cindy scored 56 more marks than betty in a science test. If their total score was 160 calculate cindy's score

Answers

Answer:

108

Step-by-step explanation:

c = b + 56

c + b = 160

Substitute for c

(b + 56) + b = 160

2b + 56 = 160

2b = 104

b = 52

c = 52 + 56 = 108

create a set of coordinates to model a relation that is linear function.

Answers

A  set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).

What is a linear relation?

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

The points on a line always form a linear relation.

Therefore, consider the line y = x.

The set of coordinates on y = x is as follows:
(0,0), (1,1), (2,2), (3,3), (4,4)... and so on.

Hence, a set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).

Learn more about linear relations:

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HELP!! Create a system of equations with the solution (-4, 1)

Answers

9514 1404 393

Answer:

  x -y = -5

  3x +y = -11

Step-by-step explanation:

We assume you want two linear equations. Since you know a point on each line, the only thing you need to choose is the slope of the two lines through that point. We can make the slopes be +1 and -3, for example. Then the point-slope equations are ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

 y -1 = +1(x +4)

  y -1 = -3(x +4)

We can use these equations "as is", or put them in whatever form you like. I personally prefer "standard form:" ax+by=c.

First equation:

  y -1 = x +4 . . . . . . eliminate parentheses

  -5 = x -y . . . . . . . keep positive x term, put x and y together, separate from the constant

  x - y = -5 . . . . . . standard form

Second equation:

  y -1 = -3x -12 . . . . eliminate parentheses

  3x +y = -11 . . . . . . add 3x+1 to both sides

__

A system of equations with solution (-4, 1) is ...

x - y = -53x + y = -11
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