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3 years ago

PLEASE HELP!!

Mathematics

1 answer:

dangina [55]3 years ago

6 0

Answer:

We can use excel regression data analysis tool to find the equation of the regression line that best fits the data.

The excel output is attached here.

Therefore, the equation of the linear regression is:

$\hat{y}=21.9028+1.5736x$

Where:

21.9028 is the intercept and 1.5736 is the slope.

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Please Help.<br> Match the reasons to the statements given.

marishachu [46]

Answer:

1. Given

2. Diagonals of a parallelogram bisect each other.

3. Vertical angles are equal.

4. Definition of parallelogram.

5. If lines parallel, then alternate interior angles are equal.

6. ASA

7. CPCTE

Step-by-step explanation:

Statement 1:

The first statement is a parallelogram ABCD, which is already given in the question. So, reason 1 is: Given.

Statement 2:

BT and TD are equal because for a parallelogram, its diagonal bisect each other. Here, BD and AC are the diagonals of parallelogram ABCD. So, the diagonals bisect each other at T. Hence, $BT = TD$

Statement 3:

Angles 1 and 2 is a pair of vertical angles. A pair of vertical angles are always equal to each other.

Statement 4:

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. Hence, $BC ||AD$ is because of the definition of a parallelogram.

Statement 5:

Angles 3 and 4 is a pair of alternate interior angles. If two lines are parallel, then the alternate interior angles are always equal.

Statement 6:

The triangles BET and DFT are now congruent because:

i.Angle- $\angle1=\angle2$

ii. Side - $BT = TD$

iii. Angle - $\angle3=\angle4$

Therefore, by ASA postulate the two triangles are congruent.

Statement 7:

As the two triangles are congruent, then their corresponding parts are also equal.

So, by CPCTE, $ET=FT$

5 0

3 years ago

Given a triangle has side lengths of 4 inches and 6 inches, which of the following could be a length of the third side? (Check a

Solnce55 [7]

10 inches your hypotenuse is always going to be equal or bigger than the sum of the two sides

3 0

3 years ago

I bed help with these two

frozen [14]

Well if each band needs 15.5 inches and she needs to make 12 headbands she needs 15.5 inches 12 times. Now you can add 15.5 + 15.5 +15.5 (so on) 12 times or you can do it the easier way and do 15.5 times 12. this comes out to 186 inches of ribbon. She estimated 160 inches of ribbon, this is unreasonable because it is significantly less that 186.

5 0

3 years ago

Read 2 more answers

Given JM=27, ml=16, jl=46, nk=15, KLM= 48, JkM=78, MJL=22, find each missing value.

Llana [10]

Answer:

KL = 27

JK = 16

MK = 30

NL = 23

m∠JKL = 132°

m∠KLJ = 22°

m∠KMJ = 54°

m∠KJL = 26°

Step-by-step explanation:

The given parameters of the quadrilateral JKLM are;

JM = 27, ML = 16, JL = 46, NK = 15, KLM = 48, JKM = 78, MJL = 22

Taking the sides as parallel, we have that quadrilateral JKLM is a parallelogram

Therefore;

KL = JM = 27

JK = ML = 16

m∠KLJ = m∠MJL = 22°

MN = NK = 15

MK = MN + NK = 15 + 15 = 30

NL = JL/2 = 46/2 = 23

m∠KJM = m∠KLM = 48°

m∠KJL = m∠KLM - m∠MJL = 48° - 22° = 26°

m∠KML = m∠JKM = 78°

m∠MKL = 180° - m∠KML - m∠KLM = 180° - 78° - 48° = 54°

m∠MKL = 54°

m∠JKL = m∠JKM + m∠MKL = 78° + 54° = 132°

m∠KMJ = m∠MKL = 54°

3 0

2 years ago

Please help answering questions 215 and 216.

kodGreya [7K]

Problem 215

Check out the attached image. Line up the letters ABC and CDE so the first set of letters are over the second set of letters. Order is important here. Note how A corresponds to C (second C), B corresponds to D, and (the first) C corresponds to E.

We have this mapping:

A <--> C

B <--> D

C <--> E

This means...

Angle BAC corresponds to Angle DCE (red angles)

Angle ABC corresponds to Angle CDE (blue angles)

Angle BCA corresponds to Angle DEC (green angles)

It also means...

Side BC corresponds to Side DE (red sides)

Side AC corresponds to Side CE (blue sides)

Side AB corresponds to Side CD (green sides)

Check out the attached image which I hope clears up any confusion you may have. Often I think it helps to represent stuff like this in a visual way.

============================================

Problem 216

Answer: True

Since triangle ABC is congruent to triangle DEF, this means that side AB is congruent to side ED. These are corresponding sides. Since AB = 6, this means ED = 6 as well.

8 0

3 years ago