1) true or false: Two triangles with three pairs of corresponding congruent angles are congruent.

2) true or false: Two triangles with two pairs of congruent corresponding angles and three pairs of congruent corresponding sides are congruent.​

Answers

Answer 1

Step-by-step explanation:

TrueFalse

For two triangle to be congruent,there must be any three sides or angle including congruent

Answer 2

Congruent triangles have three pairs of corresponding sides that are congruent, while two triangles that have three pairs of corresponding congruent angles are similar and not necessary congruent. Therefore:

Statement 1 is FALSE.Statement 2 is TRUE.

Recall:

Two triangles having three pairs of corresponding sides have the same shape and size, and are congruent.Two triangles having three pairs of corresponding angles have the same shape but may have different sizes. They are rather similar.

1. When the two triangles have the three pairs of corresponding angles that are congruent, they can only be said to be similar. They have the same shape but may be of different sizes.

They will be congruent if all corresponding three pairs of sides of both triangles are congruent.

Therefore, statement 1 is FALSE.

2. Knowing that three pairs of corresponding sides of two triangles are congruent, it is enough to prove that both triangles are congruent to each other.

Therefore, statement 2 is TRUE.

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Related Questions

what is the slope of the equation y=5/4x-7/4

Answers

Answer:   x-intercept = 7/5 = 1.40000

 y-intercept = -7/4 = -1.75000

Step-by-step explanation: Solve   4y-5x+7  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  4y-5x+7  = 0 and calculate its properties

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -1.750 and for x=2.000, the value of y is 0.750. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.750 - (-1.750) = 2.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.500/2.000 =  1.250

 

Kiwis are on sale at the grocery store at a price of 10 kiwis
for $4. How much are 15 kiwis at this price?

Answers

The correct answer is $6 because 4/10 is 0.4 (this is the cost per 1 kiwi) so you multiply 0.4 by 15 to get $6.

Have a nice day

Tap A fills 10/11 of a bottle in a minute. Tap B fills 3 4/5 times as many bottles as Tap A in a minute. Find the number of bottles Tap B fills in a minute.

Answers

Answer:

  3 5/11

Step-by-step explanation:

Tap A's rate is (10/11) bottle/min.

Tap B's rate is 3 4/5 = 19/5 times that of tap A. Then tap B's rate is ...

  (19/5)(10/11) bottles/min = 38/11 bottles/minute

Tap B fills 3 5/11 bottles in a minute.

What is another way to write the equation o 7/8x+3/4=-6​

Answers

Answer:

7+3/8+4 x =-6

C. 7/8 + 3/4x = -6

D. 7/8x - 3/4 = 6

Step-by-step explanation:

What is the rate of change of the table shown?
A)5
B)2
C)-5
D)-2

Answers

The answer would be B) 2

What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?
PLEASE HURRY !!

Answers

Answer:

y= -1/2x-6

Step-by-step explanation:

Can someone help ???

Answers

Answer:

B) 5/4

Step-by-step explanation:

when u multiply

100 x 5/4 you get 125

Answer:

5/4

Step-by-step explanation:

the answer is 5/4

100*5=500

500/4=125

Solve the following compound inequality
-3 < x +7 <10

Answers

Answer:

x > -10

x < 3

Step-by-step explanation:

separate into two inequalities

x+7> -3      

x+7<10

x + 7 -7> -3  + -7

    x > - 10

x + 7 -7 < 10 + -7

     x < 3

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

Answers

Answer:

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

I really need the answer ASP

Answers

Answer: No the deveiation of chicagos tempratures is actually higher than londons standard tempratures so its false

Step-by-step explanation:

It is falseeeeeeeeeee

5.
2
C. Use real numbers to represent the following real-life situations.
1. A temperature of 8 degrees below zero
2. A gain of 6 kg in weight
3. A sea level
4. 50 off the original price
5. An additional of 3 points
6. A dropped of 8 in a heart rate
7. A plane ascends 1 000 ft.
8. Micah got a deduction of 2 points for her offense.
9. Daniel went down 4 floors of a building.
10. A slice of a cake that is divided into 8 equal slices.

Answers

Step-by-step explanation:

Words like "below", "loss", "off", "dropped", "deduction" mean negative.

Words like "above", "gain", "on", "ascend", "gain" mean positive.

1. -8°C

2. +6 kg

3. 0 m

4. -50

5. +3

6. -8

7. +1000 ft

8. -2

9. -4

10. 1/8

Where it says “Exercises.”
Is number 1 = 90 ?

Answers

Yes you are correct. The diagonals of any kite are perpendicular.

This can be proven by showing that triangle KGH is congruent to triangle KJH through the SSS congruence theorem. From there you break up the triangles focusing on triangle JRK and triangle GRK, now using the SAS rule to conclude that angle JRK = angle GRK. Since those are a linear pair, those angles must be right angles.

Side note: A kite is defined to be any quadrilateral in which it has two pairs of adjacent congruent sides. Not all four sides are the same length though (otherwise we would have a rhombus).

you lent your cousin $25.75 and she sent you $30.00 who owes who money and how much money

Answers

Answer:

you owe her 4.28

Step-by-step explanation:

30.00-25.75= 4.28

what is the 9th term in the sequence -1, 4, -9, 16, -25,...?​

Answers

Answer:

-81

Step-by-step explanation:

looks like they're doing perfect squares inversed..

so it'd go from -1,4,-9,16,-25,36,-49,64,-81

The answer above is correct my dude!

Can I get some help please?

Answers

Answer:

at least 28

Step-by-step explanation:

Answer:

The answer is C. at least 28

Step-by-step explanation:

Connor- 58 comic books

Drew-31 comic books

So, 58-31=27

if Drew add 27 comic books than it would be equal to Connor. So in order to have a larger collection than Connor he should at least add 28 comic books.

Hope it helps :)

Which of these is the answer please.

Answers

answer: the first one

rewrite 1/6 book 2/3 hour as a unit rate ​

Answers

Answer:

1/4 books per hour

Step-by-step explanation: Pls mark brainliest!

Answer:

it is 1\4 bro you working apix quiz don't be cheating

Step-by-step explanation:

Write each number in scientific notation.
160,000,000
29,830
0.000350

Please answer asap!!
Thank you

Answers

Answer:

one hundred sixty million, twenty-nine thousand eight hundred thirty, thirty-five hundred thousandths

Step-by-step explanation:

Each of the numbers written in word form instead of standard form. Hope it helps!

The table provides information on road accidents reported to the police for the days in December.

Accidents reported Frequency
0 - 5 18
6 - 10 4
11 - 15 6
16 - 20 3

Estimate the mean.
Give your answer rounded to 1 DP.

Answers

Answer:

31/20 = 1.55

1.6

The mean of on road accidents reported to the police for the days in December is 6.7

What is the meaning of mean ?

In a group of numbers, the mean is the average or most common value. It is a measure of central tendency of a probability distribution along the median and mode in statistics.

It is given in the question about the  information on road accidents reported to the police for the days in December.

Mid point of (0-5) = 2.5

Mid point of (6-10) =8

Mid point of (11-15)=13

Mid point of (16-20) = 18

Mean = (∑Midpoint * frequency )/ (∑ frequency)

[tex]\rm Mean = \dfrac{2.5\times18+8 \times4+13\times6+18\times3}{18+4+6+3}\\\\\\\rm Mean = \dfrac{209}{31}\\[/tex]

Mean = 6.74

Mean = 6.7

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whats the answer to number 3? please and thank you! and please provide steps

Answers

Answer:

33°

Step-by-step explanation:

In triangle ABC,

<ABC +<BAC+<ACB =180°[Sum of three angles of a triangle]

2x+15+2x+x=180

5x=180 - 15

x=165/5

x=33°

Hope this helps!!

2. Find the value of p, if the mean of the following distribution is 20.
X
15
17
19
20+p
23
f 2,3, 4, 5, 6​

Answers

Answer:

p = 6

Step-by-step explanation:

I'm omitting the x since you cannot have 2 unknowns.

(15 + 17 + 19 + 20 + p +23) /5 = 20      Combine the left

(94 + p) / 5 = 20                                   Multiply both sides by 5

94 + p = 20 * 5

94 + p = 100                                         Subtract 94

P = 100 - 94

P = 6

consider the following figure

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

<c & <f would be alternate interior angles because they're a pair of angles on the inner side of each of those two parallel lines but on opposite sides of the transversal.

what do temperature and elevation have in common

Answers

Answer: As you increase in elevation, there is less air above you thus the pressure decreases. As the pressure decreases, air molecules spread out further (i.e. air expands) and the temperature decreases. If the humidity is at 100 percent (because it's snowing), the temperature decreases more slowly with height.

Step-by-step explanation:

Trust  me

given the y-intercept of (0,19) and the slope of 2/3 write a linear equation

Answers

Answer:

y = (2/3)x + 19

Answer:

y=2/3x + 19

Step-by-step explanation:

2/3 is gradient and at x=0 y=19 giving that constant value

There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several
weeks later, the overall change in the water level is found. The results are shown in the table. What
is the range of the data?
Changes in Amount of Water (gallons)
-0.3 - 1.2 - 1.3 2.6 2.5 -0.7 0.8 -0.8 2.7 2.9
The range in the change of the amount of water is
gallons

Answers

Answer: 3.2

Step-by-step explanation: you need to take the maximum minus the minimum

2.9 - (-.3) = 3.2

EMERGENCY! PLEASE ANSWER ASAP! ​

Answers

Answer:

Its the second one

Step-by-step explanation:

What is the equation of the line that passes through the point (-5, 2) and has a
slope of 4/5 ?

Answers

Answer:

y - 2 = 4/5(x + 5)

Step-by-step explanation:

Well, the equation format your question is asking for is Point-slope form which is represented by:

[tex]y - y^{1} = m (x - x^{1})[/tex]

[tex]y^{1}[/tex] = y in point

[tex]x^{1}[/tex] = x in point

m = slope

Now, we have to input our values into our equation.

y - 2 = 4/5(x + 5)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

.3y + 3 (1 - y - y = 6​

Answers

Answer:

sorry it's too long

Step-by-step explanation:

Simplifying

3y + 3(1 + -1y) + -1y = 6

3y + (1 * 3 + -1y * 3) + -1y = 6

3y + (3 + -3y) + -1y = 6

Reorder the terms:

3 + 3y + -3y + -1y = 6

Combine like terms: 3y + -3y = 0

3 + 0 + -1y = 6

3 + -1y = 6

Solving

3 + -1y = 6

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1y = 6 + -3

Combine like terms: 3 + -3 = 0

0 + -1y = 6 + -3

-1y = 6 + -3

Combine like terms: 6 + -3 = 3

-1y = 3

Divide each side by '-1'.

y = -3

Simplifying

y = -3

Write an equation in standard form of the line that passes through (4,−1) and has the slope m=3.

Answers

Answer :

m = 3

Point = (4,-1)

x1 = 4

y1 = -1

Formula =

y - y1 = m (x-x1)

y - (-1) = 3 (x -4)

y + 1 = 3x -12

y - 3x + 1 + 12 = 0

y - 3x + 13 = 0

The line = y - 3x + 13 = 0 or -3x + y + 13 = 0

I'm sorry if I'm wrong.

Cmiiw

Good luck

Love from Indonesia

y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=3

We need to find slope intercept form, for this we should know the y intercept with slope m =3 and point (4,-1)

-1=3(4)+b

-1=12+b

-1-12=b

b=-13

y intercept is -13

Hence, y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.

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PLEASE HELP . Nicole has to spend $2,675 on monthly supplies for her hair salon. She charges
$25 from each customer for a haircut. How many haircuts would she need to do to
pay for the cost of her monthly supplies?

Answers

Answer:

107

Step-by-step explanation:

2675 ÷ 25 = 107

Answer:

107 haircuts

Step-by-step explanation:

25x [tex]\geq[/tex] 2,675

25x/25  [tex]\geq[/tex] 2,675/25

x [tex]\geq[/tex] 107

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