All Questions ⁺⁰235624 Questions

0

43

0

+1533

equation

Find all values of $x$ such that
\frac{x}{x - 5} = \frac{4}{2x - 4} + 2x

parmen Nov 12, 2023

0

24

0

+1533

quadratic

The roots of the quadratic equation $z^2 + bz + c = 0$ are $4 + 2i$ and $-5 + 8i$. What is $b+c$?

parmen Nov 12, 2023

0

52

1

+1533

help with system

Find all ordered pairs $(x,y)$ of real numbers such that $x + y = 10$ and $x^2 + y^2 = 32 + 2xy$.
For example, to enter the solutions $(2,4)$ and $(-3,9)$, you would enter "(2,4),(-3,9)" (without the quotation marks).

parmen Nov 12, 2023

0

22

1

+1533

quadratic

For what real values of $k$ does the quadratic $12x^2 + kx + 27 = 6x^2 + 12x + 18$ have nonreal roots? Enter your answer as an interval.

parmen Nov 12, 2023

+5

30

1

+180

In triangle ABC, D,E and F are the midpoints of BC, CA and AB respectively. A dilation maps A to D, B to E and C to F What is the scale

In triangle ABC, D,E and F are the midpoints of BC, CA and AB respectively. A dilation maps A to D, B to E and C to F What is the scale factor of this dilation?

itsash Nov 12, 2023

0

38

2

+77

Congrats @tomtom

Congrats tomtom, almost 150 questions and most unanswered! Although I guess asking 1 question per minute wasn't quite effective, eh?

NotLatePY Nov 12, 2023

0

46

0

+1911

hard geometry

Find angle x, in degrees.

tomtom Nov 12, 2023

0

30

0

+1911

trianlge

Point $P$ is on side $\overline{AC}$ of triangle $ABC$ such that $\angle APB =\angle PBA$, and $\angle ABC - \angle ACB = 24^\circ$. Find $\angle PBC$ in degrees.

tomtom Nov 12, 2023

0

35

0

+1911

exterior angles

Two of the exterior angles of a triangle are $120^\circ$ and $75^\circ.$ Find the third exterior angle, in degrees.

tomtom Nov 12, 2023

0

57

0

+1911

angles

In a certain triangle, the exterior angles are in the ratio $3:5:10.$ What is the measure of the smallest interior angle of the triangle, in degrees?

tomtom Nov 12, 2023

0

13

1

+1911

geometry

Let $ABC$ be a triangle. If $\angle A = \angle B + 2 \angle C - 60^\circ$ and $\angle B = 3 \angle A + 7 \angle C - 35^\circ$, then among all three exterior angles of triangle $ABC,$ what is the measure in degrees of the smallest exterior angle?<read more ..

tomtom Nov 12, 2023

0

43

1

+1911

help with geometry

In the diagram below, $\overline{AB}$ and $\overline{EF}$ are parallel. If $\angle ABC = 155^\circ$, $\angle BCD = 180^\circ$, and $\angle ECD = 37^\circ$, then what is $\angle CEF$, in degrees?

tomtom Nov 12, 2023

0

22

1

+1911

angles

In triangle $ABC$, the angles $\angle A$, $\angle B$, $\angle C$ form an arithmetic sequence. If $\angle A = 45^\circ$, then what is $\angle C$, in degrees?

tomtom Nov 12, 2023

0

14

1

+1911

clock

What is the number of degrees in the smaller angle formed by the hands of a clock at $8:55$?

tomtom Nov 12, 2023

0

30

0

+1911

acute angles

In the diagram below, all four lines pass through the same point. How many acute angles are in the diagram?

tomtom Nov 12, 2023

0

41

0

+1911

triangles

In triangle $ABC,$ $\angle A = p + 2q$ degrees, $\angle B = 6p - 5q + 3r$ degrees, and $\angle C = 11p + 3q - 7r$ degrees. Find $p$ (in degrees).

tomtom Nov 12, 2023

0

52

0

+1911

angles

In the diagram, what is the measure of $\angle ACB$ in degrees?

tomtom Nov 12, 2023

0

58

0

+1911

need help

In the diagram below, point $A$ is on line segment $\overline{CE}$, and $\overline{AB}$ bisects $\angle DAC.$ If $\overline{DA} \parallel \overline{EF}$ and $\angle AEF = 8 \cdot \angle BAC + 25^\circ$, then what is $\angle DAC$ in degrees? read more ..

tomtom Nov 12, 2023

0

64

0

+1911

help angles

In the diagram, $\angle DBC = \angle BDC$, $\angle PBA = 6x-1^\circ$, and $\angle QDE = 8x+5^\circ$. What is $\angle DBA$ (in degrees)?

tomtom Nov 12, 2023

0

62

0

+1911

angles

Given that $\overline{JD} \parallel \overline{EK}$, $\angle FBD = 30^\circ$, and $\angle ABG = 40^\circ$, find $\angle ECG$ (in degrees).

tomtom Nov 12, 2023

0

63

0

+1911

geometry

In the diagram below, $a = 3b.$ Find angle $a,$ in degrees.

tomtom Nov 12, 2023

+1

49

1

+1678

need help

Find all values of $x$ such that
\frac{2x}{x + 2} = \frac{x}{x - 4}.
If you find more than one value, then list your solutions, separated by commas.

wiseowl Nov 12, 2023

0

35

1

+1678

help with equation

Find all values of x such that 9(x + 3) = -8 + x.

wiseowl Nov 12, 2023

+1

52

1

+1678

solve

Find all values of $x$ such that $x^2 - 5x + 4 = 0 $. If you find more than one value, then list your solutions, separated by commas.

wiseowl Nov 12, 2023

0

34

0

+1678

equation

I'm thinking of a number. My number has the property that its square is equal to $270$ more than five times the number. Enter all numbers that have this property.

wiseowl Nov 12, 2023

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