All Questions ⁺⁰235737 Questions

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26

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+1533

Rectangle

In rectangle $WXYZ$, $A$ is on side $\overline{WX}$, $B$ is on side $\overline{YZ}$, and $C$ is on side $\overline{XY}$. If $AX = 15$, $BY = 20$, $\angle ACB= 60^\circ$, and $CY = 3 \cdot CX$, then find $AB$.

parmen Mar 20, 2024

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27

1

+1533

triangle

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?

parmen Mar 20, 2024

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17

1

+1533

Geometry

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

parmen Mar 20, 2024

0

35

0

+1533

Triangle

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 $CE =3$ and $DF = 3$, then what is $BD$?

parmen Mar 20, 2024

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25

1

+1533

Quadrilateral

In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 8$, $BC = 3$, $CE = 1$, $AC = 19$ and $AB = 13$, then what is $DE$?

parmen Mar 20, 2024

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28

1

+479

Algebra

Let a1, a2, a3, ... be an arithmetic series. Let Sn denote the sum of the first n terms. If S1 = 5 and S2 = 15, then find S15.

ChiIIBill Mar 20, 2024

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20

1

+479

Algebra

Laverne starts counting out loud by 5's. She starts with 1. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds 40, Shirley runs screaming from the room. What number does Laverne say that sends Shirley screaming read more ..

ChiIIBill Mar 20, 2024

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26

0

+479

Algebra

Let a1, a2, a3, ..., a10, a11, a12 be an arithmetic sequence. If a1 + a2 = 4 and a2 + a3 = 5, then find a1.

ChiIIBill Mar 20, 2024

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20

1

+1911

geometry

In triangle ABC, point X is on side BC such that AX=13,BX=10,CX=10, and the circumcircles of triangles ABX and ACX have the same radius. Find the area of triangle ABC.

tomtom Mar 20, 2024

0

12

1

+1768

Algebra

Let $f(x) = 3x - 8 + 4x^2$ and $g(x) = 15x + c - 3x^2$. Find $c$ if $(f \circ g)(x) = (g \circ f)(x)$ for all $x$.

bader Mar 20, 2024

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30

1

+1768

Function

Let
\[f(x) = \frac{2x + 5}{x - 4} + \frac{x^2 + 1}{4x - 3}.\]
Find the inverse $f^{-1}(x)$.

bader Mar 20, 2024

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34

1

+1768

help algebra

Suppose $a(x) = 2x + 5 - 3x^2 + x^3$ and $b(x) = 4 - x^2 + 4x^4$. Find $(a\circ b)(3) - (b\circ a)(3).$

bader Mar 20, 2024

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21

1

+70

back at it again (this time in an image)

find PQ. the answer is not 42 btw

faiafronk Mar 20, 2024

0

13

1

+1455

geometry

Let $\overline{XY}$ be a tangent to a circle, and let $\overline{XBA}$ be a secant of the circle, as shown below. If $AX = 10$ and $XY = 8$, then what is $AB$?

kittykat Mar 20, 2024

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26

1

+1455

help geometry

Chords $\overline{PR}$ and $\overline{QS}$ of a circle are perpendicular. Find $RS$.

kittykat Mar 20, 2024

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7

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+1455

Circles

Chords $\overline{AB}$ and $\overline{CD}$ of a circle meet at $P$. If $AP = 3 \cdot PB$, then what is $AB$?

kittykat Mar 20, 2024

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21

1

+1455

help circles

Let $X$, $Y$, and $Z$ be points on a circle. Let line $XY$ and the tangent to the circle at $Z$ intersect at $W$. If $\overline{WY} \perp \overline{WZ}$, then find $YZ$.

kittykat Mar 20, 2024

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28

0

+1455

help with circles

Let $\overline{AB}$ and $\overline{CD}$ be chords of a circle, that meet at point $Q$ inside the circle. If $CD = 34$, then find the minimum length of $CQ$.

kittykat Mar 20, 2024

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32

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+1455

Circles

Let $\overline{TU}$ and $\overline{VW}$ be chords of a circle, which intersect at $S$, as shown. Find $SW$.

kittykat Mar 20, 2024

0

27

0

+1455

Circle

A circle is centered at $O.$ The tangent to the circle at $P$ is extended to $Q.$ Line segment $\overline{QS}$ intersects the circle at $R.$ Find the radius of the circle.

kittykat Mar 20, 2024

Mar 19, 2024

+1

23

2

+60

:) Fun little question (:

A rectangular sheet of paper inches by 11 inches is folded and then taped so that one pair of opposite vertices coincide. What is the number of inches in the perimeter of the resulting pentagon? Express your answer as a decimal to the nearest read more ..

hasAquestion Mar 19, 2024

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13

1

+1455

Circle

Let $\overline{AB}$ be a diameter of a circle, and let $C$ be a point on the circle such that $AC = 8$ and $BC = 4.5.$ The angle bisector of $\angle ACB$ intersects the circle at point $M.$ Find $\angle CMA.$

kittykat Mar 19, 2024

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