All Questions ⁺⁰235735 Questions

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Area

In trapezoid $ABCD$ segments $AB$ and $CD$ are parallel. Point $P$ is the intersection of diagonals $AC$ and $BD$. The area of $\bigtriangleup PAB$ is $16$ square units, and the area of $\bigtriangleup PCD$ is $16$ square units. What is the area of trapezoid read more ..

falafronk Mar 18, 2024

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11

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help coordinates

Determine the area in square units of parallelogram $ABCD$ with vertices $A (-6, 2)$, $B (12, 2)$, $C (12, -2)$ and $D (-6, -2)$.

falafronk Mar 18, 2024

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Parallelogram

The coordinates of three vertices of a parallelogram are $(-3,1)$, $(5,-2)$, and $(0,0)$. Find the sum of the coordinates of the fourth vertex which is in the third quadrant.

falafronk Mar 18, 2024

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34

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Parallelogram

The diagonals of a parallelogram have lengths 82 cm and 44 cm. One altitude is 16 cm long. What is the smallest possible area of the parallelogram?

falafronk Mar 18, 2024

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help angles

The measure of the second angle of a particular triangle is $10^{\circ}$ more than twice the measure of the first angle and the measure of the third angle is $10^{\circ}$ less than three times the measure of the second angle. In degrees, what is the measure read more ..

falafronk Mar 18, 2024

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23

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squares

Square I is inscribed in circle I and square II is inscribed in circle II. The perimeter of square I is 2 inches and the perimeter of square II is 4 inches. What is the ratio of the area of circle II to the area of circle I? Express your answer as a common read more ..

falafronk Mar 18, 2024

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33

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Rectangle

In rectangle $WXYZ$ point $A$ is on segment $WX$ so that $WA\cdot AX = 1:2$. Points $B$ and $C$ are on segment $YZ$ so that $YB:BC:CZ = 3:4:5$. Segments $AB$ and $CX$ intersect at point $D$. What is the value of $CD/DX$? Express your answer as a common read more ..

falafronk Mar 18, 2024

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Right triangle

A right triangle has a hypotenuse of 10 m and a perimeter of 24 m. In square meters, what is the area of the triangle?

falafronk Mar 18, 2024

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23

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Triangle

Triangle $ABC$ has sides of length $11$ inches, $15$ inches and $20$ inches. What is the length of the altitude to the side of length $15$ inches? Express your answer in simplest radical form.

falafronk Mar 18, 2024

Mar 17, 2024

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34

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+4

Ratio & Proportions

If I want to make fruit smoothies for 6 people, and my fruit smoothie includes a ratio of 2 cups of strawberries to 1 cup of bananas, how many cups of bananas should I use to make smoothies for 6 people? Please show me how to write this out

tinawill40 Mar 17, 2024

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help needed quick

What is the number of degrees in the exterior angle of the largest angle of a triangle if the interior angles are in the ratio of $2:3:4$?

falafronk Mar 17, 2024

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34

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Angles

Two angles of a triangle have a ratio of $5$ to $7$. The third angle has a measure of $60$ degrees. What is the measure in degrees of the smallest angle in the triangle?

falafronk Mar 17, 2024

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21

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+359

Circles

Circles with centers of $(2,2)$ and $(17,17)$ are both tangent to the $x$-axis. What is the distance between the closest points of the two circles?

falafronk Mar 17, 2024

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31

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help plz

A right triangle with integer length sides has a perimeter of $120$ units and an inscribed circle with a radius of $15$ units. What is the length of the hypotenuse?

falafronk Mar 17, 2024

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24

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help! due tmrw

Two circles are externally tangent at T. The line AB is a common external tangent to the two circles, and P is the foot of the altitude from T to line AB. Find the length TP. read more ..

faiafronk Mar 17, 2024

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more geometry!

A circle lies inside a quarter-circle, as shown below. The circle is tangent to side and arc . Find the radius of the circle. read more ..

faiafronk Mar 17, 2024

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geometry

Quadrilateral PQRS is a trapezoid with bases and . The median meets the diagonals and at X and Y, respectively. Find PQ. read more ..

faiafronk Mar 17, 2024

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16

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help!

I tried a lot of attempts on this problem, but I couldn't get the right answer. (12.06, 5.44, 5.35, 11.47, 18.69, 18.67, 19.56, 27.03 are all incorrect)
Find the length BC, to two decimal places. read more ..

faiafronk Mar 17, 2024

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22

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+1768

help with system

For certain values of k and m, the system
3a + 2b = 2 - 7a + 5b
6a + 2b = k - 5a + mb + 17 - 11a + 18b
has infinitely many solutions (a,b). What are k and m? read more ..

bader Mar 17, 2024

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33

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Word problem

Seven years ago, Grogg's dad was $12$ times as old as Grogg. Three years ago, Grogg's dad was $7$ times as old as Grogg. How old is Grogg's dad currently?

bader Mar 17, 2024

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19

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+1768

Digits

Sophie's favorite (positive) number is a two-digit number. If she reverses the digits, the result is $36$ less than her favorite number. Also, one digit is $3$ less than double the other digit. What is Sophie's favorite number? read more ..

bader Mar 17, 2024

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help algebra

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48a^2 b$ and $a^2 b^5 = 6a^3 b$. What is the value of $b$ in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)

bader Mar 17, 2024

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