Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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what is the value of v? write your answer as an integer or as a decimal…
$v = 16$
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what is the value of t? write your answer as an integer or as a decimal…
$t = 13$
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what is the value of p? p - 2° p p + 45° p = °
$47$
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what is the value of v? v + 30° v - 5° v - 3° v = °
$38$
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what is the value of w? write your answer as an integer or as a decimal…
$0.9$
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what is the value of s? write your answer as an integer or as a decimal…
$15$
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what is the value of x? write your answer as an integer or as a decimal…
\(x = 0.7\)
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which ratio has a value equal to $\frac{12}{13}$? $sin(r)$ $sin(p)$ $\t…
$\sin(R)$
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what is the value of c? c - 37° c c - 31° c = °
$68$
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what is the value of x? x x + 32° x - 27° x =
$x = 59$
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what is the value of b? b - 4° b + 38° b
$b = 42^{\circ}$
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what is the value of b?
$b=\frac{146}{3}$
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what is the value of z? z - 30° z - 31° z z = °
$61$
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what is the value of a? a + 34° a a - 20° a =
$54$
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note: triangle may not be drawn to scale. suppose a = 10 and b = 8. fin…
$\sin(A)=\frac{5\sqrt{41}}{41}$ $\cos(A)=\frac{4\sqrt{41}}{41}$ $\tan(A)=\frac{5}{4}$ $\cot(A)=\frac{4}{5}$ $\sec(A)=\frac{\sqrt{41}}{4}$ $\csc(A)=\frac{\sqrt{41}}{5}$
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7. write an expression for each of the verbal descriptions below. state…
A. $2(3x + 2y)$ B. $(p - q)^2$ C. $\frac{m}{n}-6$ D. $3a + 2b$
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directions: find the desired ratios of the given triangle. write your a…
a. $\frac{\sqrt{3}}{2}$ b. $\frac{\sqrt{3}}{2}$ c. $B$ d. $\cos$ e. $B$
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write the coordinates of the vertices after a dilation with a scale fac…
$R'(-10,-10)$, $S'(-10,0)$, $T'(0,10)$, $U'(0,-10)$
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write the coordinates of the vertices after a dilation with a scale fac…
$R'(-10,-10)$, $S'(-10,0)$, $T'(0,10)$, $U'(0,-10)$
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which value is the closest measure for the angle shown above? 30° 55° 8…
85°
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what is the value of b? write your answer as an integer or as a decimal…
$11$
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write your answer as an integer or as a decimal rounded to the nearest …
$20$
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what is the value of s? write your answer as an integer or as a decimal…
19
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what is the value of t? t =
$t = 64^{\circ}$
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what is the value of w?
$32$
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what is the value of w? w + 2° w + 48° w + 14° w =
\(w = \frac{116}{3}\)
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what is the value of y? y + 42° y - 39° y y = °
$y = 81$
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what is the value of c? c c - 10° c + 42° c = °
$52$
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what is the value of y? y - 30° y + 43° y - 33° y =
$106$
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note: triangle is not to scale. in ight\ triangle abc above, what is th…
\(\frac{16}{20}\)
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of \(J\) are \((-10,-10)\), of \(K\) are \((6,-10)\), of \(L\) are \((6,10)\), of \(M\) are \((-10,10)\)
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of \(B\) are \((-3,3)\), the new coordinates of \(C\) are \((3,3)\), and the new coordinates of \(D\) are \((-3,-3)\).
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match each trig function with its ratio. cosine sine a. $\frac{hyp}{opp…
Cosine: e. $\frac{adj}{hyp}$ Sine: c. $\frac{opp}{hyp}$
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what is the value of b? b + 29° b - 26° b - 43° b = °
\(b = 98^{\circ}\)
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what is the value of b?
\(42^{\circ}\)
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what is the value of z? z + 47° z + 6° z z =
$z = 41$
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what is the value of w? w + 3° w w + 44°
$41^{\circ}$
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what is the value of w?
\(w = \frac{133}{3}\)
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what is the value of u? u + 30° u - 39° u - 49° u = ° submit
\(u = 118\)
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what is the value of b? b + 50° b b - 10° b =
$60$
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write your answer as an integer or as a decimal rounded to the nearest …
\(22.3\)
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what is the value of s? 11s - 96° 4s 50° write your answer as an intege…
$20.9$
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what is the value of s? 13s - 43° 8s 30° write your answer as an intege…
$14.6$
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what is the value of y? 15y - 51° 8y y + 22° write your answer as an in…
$y\approx12.2$
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what is the value of x? 7x - 57° 3x 2x write your answer as an integer …
$x = 28.5$
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what is the value of c? write your answer as an integer or as a decimal…
$5.7$
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what is the value of a? write your answer as an integer or as a decimal…
$6.25$
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2. sam is designing a rectangular garden. the four sides are labeled wi…
a. Since there are two pairs of expressions that can represent opposite sides (the expressions with $x$ are equal and we can assume the expressions with $y$ represent the other pa…
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what is the value of a? write your answer as an integer or as a decimal…
$a = 26$
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what is the value of a? write your answer as an integer or as a decimal…
$a = 7$
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write your answer as an integer or as a decimal rounded to the nearest …
$y = 27.5$
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y - 46° y y - 50° y = ° submit
$96$
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what is the value of x? x + 27° x - 50° x - 28° x =
$105$
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what is the value of a? 10a + 52° 12a a + 26° write your answer as an i…
$a=\frac{26}{3}\approx8.67$
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what is the value of a? 10a + 52° 12a a + 26° write your answer as an i…
$a\approx8.67$
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what is the value of a? 10a + 52° 12a a + 26° write your answer as an i…
$a=\frac{26}{3}$
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chapter 2 vocabulary geometry vocabulary\tdefinition\texample parallel …
Parallel Lines: Definition: Two lines in a plane that never intersect. Example: Railroad tracks. Perpendicular Lines: Definition: Two lines that intersect at a 90 - degree angle. …
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write your answer as an integer or as a decimal rounded to the near p =
$28.5$
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what is the value of v? write your answer as an integer or as a decimal…
$1.3$
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what is the value of s? 6s - 88° s + 94° write your answer as an intege…
$45.5$
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what is the value of s? 6s - 88° s + 94° write your answer as an intege…
\(s = 30\frac{1}{3}\)
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what is the value of c? write your answer as an integer or as a decimal…
15
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what is the value of s? s + 34° 11s+35° 31° write your answer as an int…
\(s = 3\)
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write your answer as an integer or as a decimal rounded to the nearest …
$z\approx5.6$
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what is the value of a? write your answer as an integer or as a decimal…
$a = 21$
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what is the value of s? write your answer as an integer or as a decimal…
\(2.7\)
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what is the value of z? write your answer as an integer or as a decimal…
$z = 10$
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what is the value of t? write your answer as an integer or as a decimal…
$t = 9.3$
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what is the value of s? write your answer as an integer or as a decimal…
$17.6$
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what is the value of s? s s - 37° s + 46° s = °
\(83\)
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what is the value of p? p - 30° p + 40° p p =
$70$
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what is the value of a? a - 42° a - 45° a a = °
$87$
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what is the value of t? t - 12° t + 20° t - 14°
$46$
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what is the value of a? a + 34° a - 15° a a = °
\(49\)
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what is the value of v? v v + 35° v - 50° v = °
$v = 85^{\circ}$
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what is the value of b? b + 10° b + 48° b
$b=\frac{122}{3}^{\circ}\approx40.67^{\circ}$
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what is the value of c? c - 48° c c + 44° c =
$92$
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what is the value of u? u + 10° u u + 45° u =
$35^{\circ}$
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what is the value of z?
$z = 97^{\circ}$
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what is the value of z? z =
\(z=\frac{131}{3}\)
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5. noah is trying to bisect angle bac. he draws circles of the same rad…
Noah should have drawn circles centered at point A instead of B and C.
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what is the value of p? p + 18° p + 48° p + 15° p =
\(p = 15^{\circ}\)
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what is the value of p? p = °
\(p = 62^{\circ}\)
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what is the value of t? t - 28° t - 32° t + 32°
$t = 92$
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what is the value of c? c - 39° c + 49° c =
$c = 88^{\circ}$
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s s + 38° s = submit
\(\frac{142}{3}\)
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what is the value of s? s + 32° s s - 47° s = °
$79$
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find the image based on the graph of the pre - image. dilation of $\fra…
The coordinates of \(W'\) are \((-\frac{1}{2},1)\)
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(from unit 1, lesson 5.) 4. jada wanted to construct a line perpendicul…
The centers of the circles were not chosen correctly on line \(l\) for constructing a perpendicular line through point \(C\).
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what is the value of p? p - 45° p + 40° p + 50° p =
\(p = 55\)
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what is the value of w? w + 37° w - 20° w w =
$w = 57^{\circ}$
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find the image based on the graph of the pre - image. dilation of 1.5 a…
$(4.5,0)$
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what is the value of p? p p + 34° p - 24° p =
$p = 58^{\circ}$
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find the image based on the graph of the pre - image dilation of 1.5 ab…
$(-1.5,-9)$
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of $L$ are $(-3,-3)$, of $M$ are $(-3,3)$, and of $N$ are $(3,-3)$.
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates of \(L\) after dilation are \((-3,-3)\), the coordinates of \(M\) after dilation are \((-3,3)\), and the coordinates of \(N\) after dilation are \((3,-3)\).
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write the coordinates of the vertices after a dilation with a scale fac…
$C'(-10,-10)$, $D'(10,-10)$, $E'(10,0)$, $F'(-10,0)$
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find the image based on the graph of the pre - image. dilation of 1.5 a…
\(R'(-3,-3)\)
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write the coordinates of the vertices after a dilation with a scale fac…
$P'(1,-2)$, $Q'(1,1)$, $R'(2,2)$, $S'(2,-1)$
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find the image based on the graph of the pre - image dilation of 1.5 ab…
If the coordinates of \(S\) are \((1,2)\), then the coordinates of \(S'\) are \((1.5,3)\) (The actual answer depends on the real - coordinates of \(S\) from the graph. The general…