All Questions ⁺⁰233097 Questions

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+752

Geometry

An isosceles triangle has two sides of length $7$ and an area of $14.$ What is the product of all possible values of its perimeter?

learnmgcat Jun 4, 2024

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3

1

+752

Algebra

How many integers $n$ with $70 \leq n \leq 90$ can be written as $n = ab + 3a + 7b$ for at least one ordered pair of positive integers $(a, b)$?

learnmgcat Jun 4, 2024

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+1367

Coordinates

Find all points $(x,y)$ that are $5$ units away from the point $(2,7)$ and that lie on the line $y = 5x - 28.$

parmen Jun 4, 2024

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5

+29

geometry help

Points A , B, and C are drawn, with the following:
AB = 6
AC = 16
BC = 10 read more ..

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dplostthegame Jun 4, 2024

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1

+432

Graph

Assume that $f(3) = 4$. Name a point that must be on the graph of $y= 1/5*f(5x + 5) - 5$.

siIviajendeukie Jun 4, 2024

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+432

Geometry

In triangle $PQR,$ let $X$ be the intersection of the angle bisector of $\angle P$ with side $\overline{QR}$, and let $Y$ be the foot of the perpendicular from $X$ to side $\overline{PR}$. If $PQ = 28,$ $QR = 35,$ and $PR = 17,$ then compute the length read more ..

siIviajendeukie Jun 4, 2024

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1

+432

Geometry

In parallelogram $EFGH,$ let $M$ be the point on $\overline{EF}$ such that $FM:ME = 1:1,$ and let $N$ be the point on $\overline{EH}$ such that $HN:NE = 1:1.$ Line segments $\overline{FH}$ and $\overline{GM}$ intersect at $P,$ and line segments $\overline{FH}$ and read more ..

siIviajendeukie Jun 4, 2024

0

5

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+432

geometry

Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.

siIviajendeukie Jun 4, 2024

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1

+432

Geometry

The area of a trapezoid is $80$. The length of one base is $16$ units greater than the other base, and one base of the trapezoid is $12$. Find the length of the median of the trapezoid.

siIviajendeukie Jun 4, 2024

0

1

1

+432

Geometry

Let P_1 P_2 P_3 \dotsb P_{10} be a regular polygon inscribed in a circle with radius $1.$ Compute
P_1 P_2 + P_2 P_3 + P_3 P_4 + \dots + P_9 P_{10} + P_{10} P_1

siIviajendeukie Jun 4, 2024

0

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1

+432

geometry

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 AB. read more ..

siIviajendeukie Jun 4, 2024

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1

+432

Geometry

Triangle DEF is equilateral. Find AE.

DA = 3, AF = 2

siIviajendeukie Jun 4, 2024

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1

1

+432

Geometry

In the diagram, ABCD is a square. Find sin PAQ.

siIviajendeukie Jun 4, 2024

0

5

0

+432

Help plz

A circle is inscribed in a rhombus with sides of length 4 cm. If the two acute angles in the rhombus each measure $90^{\circ}$, what is the length of the circle's radius? Express your answer in simplest radical form.

siIviajendeukie Jun 4, 2024

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+432

Help geometry

Triangle $ABC$ is similar to triangle $XYZ$ with side $AB$ measuring $14$ units, side $BC$ measuring $8$ units and side $XY$ measuring $16$ units. What is the measure of side $YZ?$

siIviajendeukie Jun 4, 2024

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+118

Help - Geometry

I have found that ST = 5 using similar triangles, but I don't know what to do next.

SilviaJendeukie Jun 4, 2024

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+432

Need help

In rectangle $ABCD$, points $E$ and $F$ lie on segments $AB$ and $CD$, respectively, such that $AE = \frac{AB}{8}$ and $CF = \frac{CD}{5}$. Segment $BD$ intersects segment $EF$ at $P$. What fraction of the area of rectangle $ABCD$ lies in triangle $EBP$? read more ..

siIviajendeukie Jun 4, 2024

0

1

1

+432

Help geometry

Rectangle $ABCD$ contains a point $X$ such that $AX = 3$, $BX = 3$, and $CX = 3$. Find $DX$.

siIviajendeukie Jun 4, 2024

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2

4

+118

Help - Geometry

In triangle ABC, AB = 10, BC = 4, and angle ABC = 135 degrees. Find the area of triangle ABC

SilviaJendeukie Jun 4, 2024

0

2

1

+432

help Cphill

Find the coordinates of the center of the circle.
The points on the circle are (22,15), (-25,0), (22,-29).

siIviajendeukie Jun 4, 2024

0

2

1

+432

Geometry

In the diagram, $ABCD$ is a square. Find $PR.$

The side length of the square is 10. L, M, N, O are midpoints.

siIviajendeukie Jun 4, 2024

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3

1

+432

Help with geometry

In triangle $ABC,$ $AB = 15,$ $BC = 10,$ and $AC = 12.$ Find the length of the shortest altitude in this triangle.

siIviajendeukie Jun 4, 2024

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3

1

+118

Help - Geometry

In triangle $ABC,$ $\angle B = 90^\circ.$ Point $X$ is on $\overline{AC}$ such that $\angle BXA = 90^\circ,$ $AX = 15,$ and $CX = 6$. What is $BX$?

SilviaJendeukie ●

SilviaJendeukie Jun 4, 2024

Jun 3, 2024

0

2

2

+432

Help geometry

Find the area of triangle $ABC$ if $AB = 6,$ $BC = 8,$ and $\angle ACB = 30^\circ$.

siIviajendeukie Jun 3, 2024

0

2

1

+118

Help - Geometry

In triangle ABC, point D is on side AC such that line segment BD bisects angle ABC. If angle A = 30, angle C = 90, and AC = 12, then find the area of triangle ABD.

SilviaJendeukie Jun 3, 2024

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