All Questions ⁺⁰231357 Questions

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Help please

AlyA4 Apr 30, 2024

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+8

Right EFG has its right angle at F, EG=8, and FG=2.

Right △EFG has its right angle at F, EG=8, and FG=2.
What is the value of the trigonometric ratio of an angle of the triangle?
Drag a value to each box to match the trigonometric ratio with its value. read more ..

AlyA4 Apr 30, 2024

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+269

Geometry

In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?

rtsdylifdts Apr 30, 2024

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+269

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

rtsdylifdts Apr 30, 2024

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+60

Rhombus

In a rhombus, all the side lengths are $12,$ and one of the angles is equal to $20^\circ.$ Find the area of the rhombus.

RedDragonl Apr 30, 2024

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+60

Parallelogram

Find the area of parallelogram ABCD.

RedDragonl Apr 30, 2024

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+60

Rectangle

The perimeter of a rectangle is $40,$ and the length of one of its diagonals is $10 \sqrt{2}.$ Find the area of the rectangle.

RedDragonl Apr 30, 2024

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+60

Transformations

Point $B$ is the image of point $A$ under a dilation with center $O$. If $OB = 30$, and the scale factor of the dilation is $5$, then what is $OA$?

RedDragonl Apr 30, 2024

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+85

Geometry

Let A1 A2 A3 ... A15 be a regular polygon. A rotation centered at $A_4$ with an angle of $\alpha$ takes $A_3$ to $A_5$. Given that $\alpha < 180^\circ$, find $\alpha,$ in degrees.

Rangcr897 Apr 30, 2024

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+85

Geometry

Let $ABCD$ be a square with side length $1.$ A laser is located at vertex $A,$ which fires a laser beam at point $X$ on side $\overline{BC},$ such that $BX = \frac{1}{2}.$ The beam reflects off the sides of the square, until it ends up at another read more ..

Rangcr897 Apr 30, 2024

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+269

help me help

In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $AF = 1$ and $DF = 2$, then what is $BD$?

rtsdylifdts Apr 30, 2024

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+269

need help

Let $IJKLMN$ be a hexagon with side lengths $IJ = LM = 3,$ $JK = MN = 3,$ and $KL = NI = 3$. Also, all the interior angles of the hexagon are equal. Find the area of hexagon $IJKLMN$.

rtsdylifdts Apr 30, 2024

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+269

help with geometry

Points $X$, $Y$, and $Z$ are on the sides $\overline{QR}$, $\overline{PR}$, and $\overline{PQ}$, respectively, of right triangle $PQR$ such that $PZXY$ is a square. If $PQ = 6$ and $PR = 6$, then what is the side length of the square?

rtsdylifdts Apr 30, 2024

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+269

help geometry

In triangle $ABC,$ $AB = 15,$ $BC = 9,$ and $AC = 10.$ Find the length of the shortest altitude in this triangle.

rtsdylifdts Apr 30, 2024

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+269

need help quick

In triangle $ABC,$ the angle bisector of $\angle BAC$ meets $\overline{BC}$ at $D.$ If $\angle BAC = 60^\circ,$ $\angle CAD = 45^\circ,$ and $AD = 24,$ then find the area of triangle $ABC.$

rtsdylifdts Apr 30, 2024

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+269

hard geo

Let $P$ be a point inside rectangle $ABCD$. If $AP = 3$, $BP = 3$, and $CP = 3$, then find $DP$.

rtsdylifdts Apr 30, 2024

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+269

help with geo

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.

rtsdylifdts Apr 30, 2024

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+269

plz help

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 area of triangle $EAD$ is $5.$ Find the area of parallelogram read more ..

rtsdylifdts Apr 30, 2024

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+1612

Algebra

Suppose a\neq 0. Compute \log_{8a} b in terms of a and b.

bader Apr 30, 2024

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+1612

Algebra

Find x if \log_2 (\log_3 x) = \log_3 (\log_2 x).

bader Apr 30, 2024

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+1612

Algebra

Find all $c$ such that $|c + 5| - 3|c + 7| = 10 + 2|c - 8|.$ Enter all the solutions, separated by commas.

bader Apr 30, 2024

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+1612

Algebra

Let $x$, $y$, and $z$ be nonzero real numbers. Find all possible values of
\frac{x}{|x|} + \frac{y}{|y|} + \frac{z}{|z|} + \frac{x + y + z}{|x + y + z|}

bader Apr 30, 2024

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+269

help me help

In parallelogram EFGH, let M be the point on EF such that FM : ME = 3 : 7, and let N be the point on EH such that HN : NE = 2 : 5. Line segments FH and GM intersect at P, and line segments FH and GN intersect at Q. Find PQ / FH.

rtsdylifdts Apr 30, 2024

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+269

help geometry

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.

rtsdylifdts Apr 30, 2024

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+269

need help

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 ..

rtsdylifdts Apr 30, 2024

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