HELP PLEASE!! ;-; !! TWO PART QUESTION!! 1) Consider the image. Are the two triangles congruent if a is congruent to d and b is congruent to e?
A) Yes, by the ASA postulate.
B) Yes, by the SAS postulate.
Yes, by the SSS postulate.
D) No, they are not congruent.


2) suppose that three corresponding angles are congruent for two triangles (AAA), why can’t congruence be proved between the two triangles?
A) the triangles could have the same shape but not the same size.
B) The triangles could have the same size but not the same shape.
C) with three equal angles, only the shortest side of the triangles can be congruent.
D)With three equal angles, only the longest side of the triangles can be congruent.

Answer:

3. ASA

4. Corresponding sides of congruent triangles are congruent

Step-by-step explanation:

I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.

If the triangles are congruent, then all corresponding angles and sides are also congruent.

Answer:

The ratio of y to x is the slope

The equation of the graph is y = 1/2x

Step-by-step explanation:

In this scenario, we see that 1/2 of x always equals y, so the y-intercept is 0. This means that the slope is equal to 1/2, and that is the ratio of y to x.

Answer:

domain: [0, ∞)

range: (-∞, 0]

Step-by-step explanation:

the domain is all the possible x-values, which is all the numbers from 0 to infinity.

the range is all the possible y-values, which is all the numbers from negative infinity to 0.

[tex]Given: AD \parallel BCAD∥BC and AD=CB[/tex]

To Prove: [tex]AB \parallel DCAB∥DC[/tex]

1. [tex]AD \parallel BCAD∥BC , AD=CB[/tex]

Reason: Given

2. AC = AC

Reason: Reflexive Property of Equality

3. [tex]\angle 2 = \angle 3∠2=∠3[/tex]

Reason: If Lines are parallel, then Alternate Interior Angles are Equal).

4. [tex]\Delta ACD \cong \Delta CABΔACD≅ΔCAB[/tex]

Reason: SAS

5. [tex]\angle 1 = \angle 4∠1=∠4[/tex]

Reason: CPCTE

6. [tex]AB \parallel DCAB∥DC[/tex]

Reason: If Alternate Interior Angles are Congruent, then Lines are Parallel.

Answer:

The missing Statements and reasons are given below

Statement                                                  >>   Reason

4. CB ≅ BC                                               >> reflexive property of congruence

5. ∠ABC ≅ ∠DCB and ∠ACB ≅ ∠DBC   >>   Alternate interior angles theorem

6. ΔACB ≅ ΔDBC                                      >>   ASA congruence

7. AB ≅ DC and AC ≅ DB                         >>   CPCTC

Answer:

3.2t - 2.4

Step-by-step explanation:

Answer:

5 5/8%, 5.6%, 5.51%, 5 1/2%, 5.099%

Step-by-step explanation:

5 5/8% reduces to 5.625…and 5.099% is the least because it isn’t even 5.1%…

So it goes—> 5.625%, 5.6%, 5.51%, 5 1/2% (5.50), and then 5.099%.

The descending order of interest rates is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

What is Descending Order?

When numbers are arranged in descending order, they are done so from  largest to least . We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in descending order: Determine how many digits each number has.

Given data ,

Let the total number of data be = 5

Now , the data can be represented in Set A = { 5.51% , 5 1/2% , 5 5/8% , 5.099% , 5.6% }

On simplifying the elements in the set , we get

5.51 % = 5.51 / 100

5 1/2 % = 5.5 / 100

5 5/8 % = 5.625 / 100

5.099 % = 5.099 / 100

5.6 % = 5.6 / 100

Now , the arranging the numbers in the descending order , we get

Hence , the interest rates in the descending order is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

To learn more about descending order click :

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Answer:

130

Step-by-step explanation:

Step 1: write equations:

Company A: y = 0.20x + 110

Company B: y = 0.50x + 80

Step 2: graph your lines

Step 3: Find your intersect point

Step 4: find the points: (100,130)

The number of miles is y, so at 130 miles, both trucks are the same cost

Hope that helps

hello! :p

area of shape one is 12

and area of shape to is 36

In not 100% sure but I thought I could try to help! Don't take my word for it though. :) Have a wonderful day!

The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.

It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.

On this note, it follows that the expression evaluation at x = 3 represents the required remainder.

Therefore, we have;

-2 (3)² + 7 (3) - 9

= -18 + 21 - 9

= -27 + 21

= -6

Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.

Therefore, the correct answer choice is; Choice A; -6.

Read more on synthetic division of Polynomials;

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Answer:

-37.675

Step-by-step explanation:

27.5 X -1.37 = -37.675

Answer:A. (22)(40)+(22)(6)

Step-by-step explanation: (22)(40)+(22)(6)

880+(22)(6) 880+132 1012

Answer:

D

Step-by-step explanation:

50-40=10

8-39=-31

-31/10=-3.1

So the answer is D.

Hope this helped! :)

Answer:

1 ticket would be $4.25

5 tickets would be $21.25

Step-by-step explanation:

Hope that help, mind if a get a brainliest now?

Answer:

4.25 for 1 ticket, 21.25 for 5

Step-by-step explanation:

12.75 divided by 3 = 4.25 x 5 = 21.25

Answer:

D) each input has only one output.

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

They are opposite angles. You can tell because they are on the same line, and one is smaller than the other. So together they equal 180.

180 - 65 = 115

I hope this helps!!

Answer:

$44.68

Step-by-step explanation:

plus you have would have to find out what the money would be 10% off and then you add on the sales tax

Hi!

There are a few ways we can do this. The first one is this:

The ratios 18:7 and 2:1 can be represented as fractions: [tex]\frac{18}{7}[/tex] and [tex]\frac{2}{1}[/tex]

To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are not equal.

Therefore they are not proportions.

The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:

[tex]\frac{18}{7}[/tex]  [tex]\frac{2}{1}[/tex]

To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.

Therefore they are not proportions.

Hope this helps! Have a great day! Let me know if you need any other help :D

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Explanation:

A = multiples of 5 between 1 and 30

A = {5,10,15,20,25,30}

B = multiples of 6 between 1 and 30

B = {6,12,18,24,30}

There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}

The probability we want is 10/30 = 1/3

Step-by-step explanation:

Since the first coordinates are both (0,0) it implies that the line passes through the origin.

The slope of the line is therefore 5/8

The equation:

y-0=5/8(x-0)

y=5/8x

Answer:

Yes

Step-by-step explanation:

Yes! If you multiply both of the values in the ratio 12:3 by 2, you get the ratio 24:6. A ratio is equivalent to another if one can be multiplied by or divided by the same number to result in the other ratio.

For example, 1:2 and 3:6 are equivalent ratios since 1:2 can be multiplied by 3 to result in 3:6.

Hopefully that's helpful! :)

[tex]\text{Given that,}\\\\s_1 = 5.95,\\\\s_2 = 5.42\\\\\\F= \dfrac{(s_1)^2}{(s_2)^2} = \dfrac{(5.95)^2}{(5.42)^2} = 1.21[/tex]

Answer:

Step-by-step explanation:

A I think sorry if I’m wrong

Answer:

7 and a half minutes. have a good one.

Answer: The answer is B, a car traveling 25 km/h.