All Questions ⁺⁰235615 Questions

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45

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+688

Triangles

In triangle $PQR$, let $M$ be the midpoint of $\overline{PQ}$, let $N$ be the midpoint of $\overline{PR}$, and let $O$ be the intersection of $\overline{QN}$ and $\overline{RM}$, as shown. If $\overline{QN}\perp\overline{PR}$, $QN = 15$, and $PR = 20$, read more ..

booboo44 Dec 14, 2023

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54

0

+1533

trapezoid

In trapezoid $ABCD,$ $\overline{AB} \parallel \overline{CD}$. Find the area of the trapezoid.

parmen Dec 14, 2023

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26

1

+1533

trapezoid

The area of a trapezoid is $80$. The length of one base is $4$ units greater than the other base, and the height of the trapezoid is $12$. Find the perimeter of the trapezoid.

parmen Dec 14, 2023

0

34

1

+1533

This is so hard!

I don't know what to do here!!!! Help!!!
In parallelogram $EFGH,$ let $M$ be the point on $\overline{EF}$ such that $FM:ME = 3:5,$ and let $N$ be the point on $\overline{EH}$ such that $HN:NE = 2:5.$ Line segments $\overline{FH}$ read more ..

parmen Dec 14, 2023

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55

0

+1533

Geometry question

In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $4,$ and the area of triangle $PSR$ is $8.$ Find the area of trapezoid read more ..

parmen Dec 14, 2023

0

26

1

+1348

How to Factor

Fill in the blank so that the resulting expression can be factored as the product of the two linear equations
21mn - 21m + 19m + 6n - 14n + 8 + ___

sandwich Dec 14, 2023

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38

1

+1533

Parallelogram

I get 10, but that's not the right answer.
Quadrilateral $ABCD$ is a parallelogram. Let $E$ be a point on $\overline{AB},$ and let $F$ be the intersection of lines $DE$ and $BC.$ The area of triangle $EBF$ is $5,$ and the read more ..

parmen Dec 14, 2023

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33

1

+1533

Trapezoid

Help I don't know what to do
In trapezoid $EFGH,$ $\overline{EF} \parallel \overline{GH},$ and $P$ is the point on $\overline{EH}$ such that $EP:PH = 2:5$. If the area of triangle $PEF$ is $4$, and the area of triangle $PGH$ is read more ..

parmen Dec 14, 2023

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14

1

+1533

Geometry

I need help!
Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 90^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle XZW$, in degrees. read more ..

parmen Dec 14, 2023

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32

1

+1911

Binomial Theorem

Find the coefficient of y^4 in the expansion of (2y - 5 + y - 6)^4.

tomtom Dec 14, 2023

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49

1

+1911

Binomial Theorem

Fill in the blanks with positive integers:
(3 + sqrt(5) - 1 + 2*sqrt(3) + 5)^2 = ___ + ___ *sqrt(5)

tomtom Dec 14, 2023

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42

0

+1911

Need help

At my office, $4$ people own cats, $2$ people own dogs, and $5$ people own both cats and dogs. How many people own a cat or a dog?
(Remember that in mathematics, the word "or" is used in the inclusive sense. So if you own read more ..

tomtom Dec 14, 2023

0

46

1

+1911

Help plz

South High School offers only Chinese and Spanish. There are $5$ more students in Chinese than in Spanish, and every student takes at least one language. If there are a total of $12$ students in South High School, and $15$ students take only read more ..

tomtom Dec 14, 2023

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60

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+1911

Counting question

North High School has a math club and a science club. There are a students in the math club and b students who are members of both clubs. The total number of students is c. Find an expression for the total number of students read more ..

tomtom Dec 14, 2023

0

49

0

+1911

Counting question

North High School has a math club and a science club. There are a students in the math club and b students who are members of both clubs. The total number of students is c. Find an expression for the total number of students read more ..

tomtom Dec 14, 2023

0

36

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+817

counting

We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and read more ..

maximum Dec 14, 2023

0

32

0

+817

counting

We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and read more ..

maximum Dec 14, 2023

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