All Questions ⁺⁰235735 Questions

-1

13

1

+1443

Angle bisector

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 14$, $AY = 14$, and $CY = 8$, find $BZ$.

blackpanther Mar 12, 2024

-1

19

1

+1443

Angle bisector

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 14$, $AY = 14$, and $CY = 8$, find $BC$.

blackpanther Mar 12, 2024

-1

36

1

+1443

Triangle

Find the circumradius of triangle ABC.

blackpanther Mar 12, 2024

-1

22

0

+1443

Triangle

Find the inradius of triangle ABC.

blackpanther Mar 12, 2024

+1

14

1

+5

Angle Chasing

In triangle ABC, angle BAC measures 20° and angle BCA measures 23°. Points D and E are inside triangle ABC such that angles BAD, DAE, and EAC have the same measure and angles BCD, DCE, and ECA have the same measure. Lines DE↔ and AC↔ intersect at F. Compute read more ..

aw007 Mar 12, 2024

0

27

1

+704

Series

Let $a_1,$ $a_2,$ $a_3,$ $\dots,$ $a_{10},$ $a_{11},$ $a_{12}$ be an arithmetic sequence. If $a_1 + a_3 = -2$ and $a_2 + a_4 = 5$, then find $a_1$.

booboo44 Mar 12, 2024

0

14

1

+704

Sum

Find the sum of all positive integers less than $1000$ ending in $1$ or $2$ or $3$ or $4.$

booboo44 Mar 12, 2024

0

17

8

+77

Domain Question

If is a function whose domain is , and , then the domain of is an interval of what width?
Thanks in advance :D

CPhill ●●●●●●●●

NotLatePY Mar 12, 2024

0

22

2

+704

Algebra

When the same constant is added to the numbers $60,$ $110,$ and $165,$ a three-term geometric sequence arises. What is the common ratio of the resulting sequence?

booboo44 Mar 12, 2024

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