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3 years ago

Solve for X, each figure is a parallelogram

Mathematics

2 answers:

LiRa [457]3 years ago

8 0

Step-by-step explanation:

$x + 80 = 180 - (64 + 36) \\ x + 80 = 180 - 100 \\ x + 80 = 80 \\ \boxed{x = 0}$

<h2>0 is the right answer.</h2>

Juli2301 [7.4K]3 years ago

4 0

LKJ= 360
L and J are congruent
360-64-36= 260
X=260-80
260-80 =180
X=180

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Two basketball players average the same number of points per game. What information would be most helpful in determining which p

Alenkasestr [34]

Answer:

The number of games each player has played

Step-by-step explanation:

Generally to measure variability, we use the range, the variance, the standard deviation and inter quartile ranges.

Given is that the averages are same, this implies that the mean of the two data sets are same. Variability can also be measured by the total number of points each player has scored. It can also be determined by the average number of points each player’s team scores per game.

So, correct answer is option B: the number of games each player has played.

7 0

3 years ago

Read 2 more answers

The two-way table shows the number of people who have or have not graduated from college and who live or do not live in their ho

neonofarm [45]

Answer:

0.28

Step-by-step explanation:

Refer the attached figure

Given :

People who live in their hometown and graduated from the college =8

People who do not live in their hometown and graduated from the college = 10

People who did not graduate from college and lives in home town = 6

People who did not graduate from college and do not live in home town = 4

To Find : Among people who do not live in their hometown, what is the relative frequency of not graduating from college?

Solution :

The total no. of people who do not live in home town whether they are graduated or not graduated = 14

People who did not graduate from college and do not live in home town = 4

Thus Among people who do not live in their hometown the relative frequency of not graduating from college :

People who did not graduate from college and do not live in home town/total no. of people who do not live in home town whether they are graduated or not graduated

⇒ $\frac{4}{14}$

⇒ $\frac{2}{7}$

⇒ $0.28$

Thus , Among people who do not live in their hometown the relative frequency of not graduating from college = 0.28

5 0

4 years ago

Read 2 more answers

I NEED THIS DONE, PLEASE SHOW ALL WORK!! PICTURE 1 IS FOR QUESTION 3 AND PICTURE 2 IS FOR QUESTION 2. THANK YOU

Artemon [7]

Answer:

See explanation

Step-by-step explanation:

<u>Question 1. </u>Write two-column proof.

Statement Reason

1. $4x=8(x-2)$ Given

2. $4x=8x-16$ Distributive Property of Equality

3. $4x-8x=8x-8x-16\\ \\-4x=-16$ Subtraction Property of Equality

4. $x=4$ Division Property of Equality

<u>Question 2.</u>

Statement Reason

1. $m\angle SQR = 55^{\circ}$ Given

2. $m\angle PQS = 35^{\circ}$ Given

3. $m\angle SQR+m\angle PQS=m\angle PQR$ Angle Addition Postulate

4. $m\angle PQR=55^{\circ}+35^{\circ}\\ \\m\angle PQR=90^{\circ}$ Substitution Property of Equality

5. $\angle PQR$ is a right angle Definition of a right angle

6. $\triangle PQR$ is a right triangle Definition of a right triangle

<u>Question 3:</u>

Statement Reason

1. $\angle 1$ and $\angle 2$ are supplementary Given

2. $m\angle 1+m\angle 2=180^{\circ}$ Definition of supplementary angles

3. $m\angle 1=27^{\circ}$ Given

4. $27^{\circ}+m\angle 2=180^{\circ}$ Substitution Property of Equality

5. $27^{\circ}-27^{\circ}+m\angle 2=180^{\circ}-27^{\circ}\\ \\m\angle 2=153^{\circ}$ Subtraction Property of Equality

3 0

3 years ago

A man earns a base salary of 2000$ and every year he got araise of 7% on his total income.huv much total income would he get by

e-lub [12.9K]

Answer:

his total income by the end of 4 years will be: $2622.

Step-by-step explanation:

A man earns a base salary of $2000, and every year he got a raise of 7% on his total income.

The first year, he will earn: 1.07($2000) = $2140

The second year he will earn: 1.07($2140) = $2289.8

The third year he will earn: 1.07($2289.8) = $2450.086

The fourth year he will earn: 1.07($2450.086) = $2621.59202

Therefore, his total income by the end of 4 years will be: $2622.

7 0

3 years ago

Mariam’s uncle donate 120 cans of juice and 90 packs of cheese cracker for the school picnic. Each student must receive the same

monitta

Answer:

8 students,

15 cans of juice and 11 packs of cheese cracker

Step-by-step explanation:

Mariam’s uncle donate 120 cans of juice and 90 - 2 = 88 packs of cheese cracker (eats two packs) for the school picnic.

Factor these numbers:

$120=2\cdot 60=2\cdot 2\cdot 30=2\cdot 2\cdot 2\cdot15=2\cdot 2\cdot 2\cdot 3\cdot 5\\ \\88=2\cdot 44=2\cdot 2\cdot 22=2\cdot 2\cdot 2\cdot 11$

The greatest common factor is

$2\cdot 2\cdot 2=8,$

so the greatest number of students who can share the food equally is 8 and each student will get $3\cdot 5=15$ cans of juice and 11 packs of cheese cracker.

4 0

3 years ago