Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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7) \\( x = \\) \\( (5x)\\degree \\) \\( (16x - 9)\\degree \\) \\( (8x -…
s: Problem 5: \(x = 9\) Problem 7: \(x = 19\)
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recall that two angles are complementary if the sum of their measures i…
\( 30 \)
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4) $(23x + 1)^circ$ $(17x + 31)^circ$ $x = $ 6) $(7x + 4)^circ$ $(10x -…
\(x = 5\) ### Problem 6
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in $\\triangle vwx$, $wx = 17$, $xv = 12$, and $vw = 8$. which list has…
m∠V, m∠W, m∠X
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in $\\triangle ijk$, $m\\angle i = 30^\\circ$ and $m\\angle j = 89^\\ci…
JK < IJ < KI
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in $\\triangle xyz$, $yz = 11$, $zx = 10$, and $xy = 19$. which stateme…
$\boldsymbol{m\angle Y < m\angle X < m\angle Z}$
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in $\\triangle uvw$, $\\overline{uv} \\cong \\overline{wu}$ and $m\\ang…
$78^\circ$
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in $\\triangle klm$, $\\overline{kl} \\cong \\overline{mk}$ and $m\\ang…
$60^\circ$
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in $\\triangle cde, \\overline{ec} \\cong \\overline{de}$ and $m\\angle…
$\mathrm{m}\angle C = 34^\circ$
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in $\\triangle ghi, \\overline{gh} \\cong \\overline{ig}$ and $m\\angle…
$\text{m}\angle H = 55.5^\circ$
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in △qrs, \\(overline{rs} \\cong overline{qr}\\) and \\(m\\angle q = 46^…
$\boldsymbol{46^\circ}$
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in $\\triangle opq, \\overline{op} \\cong \\overline{qo}$ and $m\\angle…
$84^\circ$
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the triangles are congruent by sss or hl. which transformation(s) can m…
C. rotation, then reflection
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the triangles shown are congruent by the sss congruence theorem. the di…
D. translation, then rotation, then reflection
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in the following triangle, \\(\\frac{ec}{ae} = \\frac{db}{ad}\\). below…
The completed Part B proof is: 8. $\boldsymbol{\angle A \cong \angle A}$ | Reflexive property 9. $\boldsymbol{\triangle AED \sim \triangle ABC}$ | Side-side-side similarity (Part …
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solve the system of inequalities by graphing. $y \\leq 1$ $y \\geq -3x …
1. Both lines remain solid (correct as shown). 2. Shade the region that is **below the line $y=1$ and above the line $y=-3x+10$** (the small bounded area to the left of $x=3$, bet…
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which graph represents a function?
A. The first graph (the curved line passing through the origin with one branch in the first quadrant and one in the third quadrant)
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obriens author moves- literary techniques the things they carried mini …
### Mini Practice #1: Diction Analysis 1. Red (Opinions): - They used a hard vocabulary to contain the terrible softness. - It wasn't cruelty, just stage presence. - They were act…
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an ice cream shop sells ice cream in waffle cones and waffle bowls. the…
a. False b. False c. False
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directions: find the perimeter and area of each figure b 22. 3ab² 5a²b⁴…
22. Perimeter: $10a^2b^4 + 6ab^2$, Area: $15a^3b^6$ 23. Perimeter: $4m^2 + 10mn^2$, Area: $6m^3n^2$ 24. Perimeter: $24mn$, Area: $16m^3n$ 25. Area: $27a^3b^2$
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tell a story one group from the card sort did not have a matching story…
Lila buys 4 identical notebooks and a $2 pencil. The total cost of her purchase is $28. Let $x$ represent the cost of one notebook. This situation matches the equation $4x + 2 = 2…
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for each graph, decide if the two lines are parallel, perpendicular, or…
Parallel ### Graph 2
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when solved graphically, which system of equations will have exactly on…
$\boldsymbol{y = \frac{3}{5}x + 12 \\ y = 0.6x - 19}$ (second option), $\boldsymbol{y = -x - 20 \\ y = x + 17}$ (third option)
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a system of equations is graphed on the set of axes below. the solution…
(4, 2)
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wer the questions about each triangle. (a) one triangle has side length…
### Part (a) #### Step 1: Calculate the sum of the squares of the shorter lengths We need to compute \(12^2 + 16^2\). First, find \(12^2 = 144\) and \(16^2 = 256\). Then add them …
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17. find the area of the triangle. $a = \\frac{1}{2}bh$ the triangle ha…
$x^2 + \frac{19}{2}x + 12$
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find the length x.
$\boxed{4.5}$ (or $\boxed{\dfrac{9}{2}}$)
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which line segment is a perpendicular bisector? i h g f 67 d 67 e submit
The line segment \( GE \) (or \( EG \)) is the perpendicular bisector (assuming the segment from \( G \) to \( E \) with the right angle at \( E \) and \( E \) as midpoint of \( D…
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find the length x.
\( \boxed{4.5} \) (or \( \frac{9}{2} \))
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find hi. write your answer as an integer or as a decimal rounded to the…
\( 6.5 \)
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find the sine, cosine, and tangent of $\\angle y$. simplify your answer…
\( \sin(Y)=\frac{15}{17} \) \( \cos(Y)=\frac{8}{17} \) \( \tan(Y)=\frac{15}{8} \)
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find the sine, cosine, and tangent of ∠r. simplify your answers and wri…
\( \sin(R)=\frac{35}{37} \) \( \cos(R)=\frac{12}{37} \) \( \tan(R)=\frac{35}{12} \)
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a system of equations is graphed on the set of axes below. the solution…
(4, 2)
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find the length x.
\(\frac{9}{2}\) (or \(4.5\))
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find ce. write your answer as an integer or as a decimal rounded to the…
\( 6.6 \)
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find ( mangle v ). write your answer as an integer or as a decimal roun…
\( 26.6 \)
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find rs. write your answer as an integer or as a decimal rounded to the…
\( \approx 5.5 \) (if rounded to nearest tenth) or \( 5.53 \) (to nearest hundredth). But let's check with more precise steps. Wait, maybe the problem is in the triangle, \( RQ = …
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solve for ( x ) and graph the solution on the number line below. (-12 <…
Inequality Notation: $x > -2$ For the number line: Draw an open circle at $-2$, then draw an arrow pointing to the right (towards positive infinity) to represent all values greate…
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graph the line that passes through the points (-2, 5) and (-4, 3) and d…
The equation of the line is \( y = x + 7 \)
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find vw. write your answer as an integer or as a decimal rounded to the…
\( 5.0 \)
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in the figure below, s is the center of the circle. suppose that jk = 1…
\( x = 6 \) \( KP = \frac{13}{2} = 6.5 \) (or 6.5) Wait, but let's confirm the first step again. The key is that equal chords are equidistant from the center. So \( JK \) and \( L…
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graph the line that passes through the points (3, -6) and (9, -2) and d…
The equation of the line is \( y=\frac{2}{3}x - 8 \)
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groups 1-1 triangle: justification: triangle: justification: triangle: …
To analyze the triangles and their justifications, we can use the properties of triangle congruence and classification (e.g., equilateral, isosceles, scalene, acute, right, obtuse…
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in the figure below, z is the center of the circle. suppose that ( qr =…
\( x = 3 \) \( VS = 5 \)
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graph the line that passes through the points (6, 4) and (3, 0) and det…
The equation of the line is \( y = \frac{4}{3}x - 4 \)
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graph the line that passes through the points (8, 4) and (2, 7) and det…
The equation of the line is \(y =-\frac{1}{2}x + 8\). To graph the line, plot the points \((8, 4)\) and \((2, 7)\) and draw a straight line through them.
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graph the line that passes through the points (0, -8) and (5, -5) and d…
The equation of the line is \(y=\frac{3}{5}x - 8\)
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graph the line that passes through the points (2, -6) and (-4, -3) and …
The equation of the line is \(y =-\frac{1}{2}x-5\)
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graph the line that passes through the points $(-3, -9)$ and $(6, 3)$ a…
The equation of the line is \(y=\frac{4}{3}x - 5\)
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6. reflect the figure through (1, 2)
$K'(1, 4)$ $M'(0, -1)$ $U'(-2, 3)$
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graph the line that passes through the points (-6, 2) and (-8, 1) and d…
The equation of the line is \( y=\frac{1}{2}x + 5 \)
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find the surface area of a cylinder with a height of 8 yd and a base ra…
\( 527.52 \) square yards (or \( 527.52 \, \text{yd}^2 \))
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graph the line that passes through the points $(-2, 0)$ and $(4, -9)$ a…
The equation of the line is \(y =-\frac{3}{2}x - 3\). To graph the line, plot the points \((-2,0)\) and \((4, - 9)\) and draw a straight line through them.
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find v. 6√2 mi write your answer in simplest radical form. miles
\(3\sqrt{2}\)
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3. reflect the figure through r(-1, -2)
$R'(-1, -2)$ $S'(0, -1)$ $T'(2, -2)$ $Y'(1, -1)$
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find w. 12 mm write your answer in simplest radical form. □ millimeters
\(4\sqrt{3}\)
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2. reflect the figure through l (1, 2)
$L'(1, 2)$ $Q'(-2, 5)$ $G'(-1, -1)$
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given vector \\(\\mathbf{u} = \\langle -1, -4 \ angle\\) and \\(\\mathb…
\(\langle -1, 7 angle\)
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given vector \\(\\mathbf{u} = \\langle -1, -1 \ angle\\) and \\(\\mathb…
\(\langle 8, - 8 angle\)
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given vectors \\(\\mathbf{u} = \\langle -8, 1 \ angle\\) and \\(\\mathb…
\(\langle - 3,9 angle\)
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given vectors \\(\\mathbf{u} = \\langle -6, 2 \ angle\\) and \\(\\mathb…
\(\langle1, - 6 angle\)
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given vectors \\(\\mathbf{u} = \\langle 4, 8 \ angle\\) and \\(\\mathbf…
\(\langle 5, 1 angle\)
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given vectors \\(\\mathbf{u} = \\langle 7, -5 \ angle\\) and \\(\\mathb…
\(\langle 10, 1 angle\)
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write the equation of the line in fully simplified slope-intercept form.
\(y = -x - 7\)
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given vectors \\(\\mathbf{u} = \\langle -2, 3 \ angle\\) and \\(\\mathb…
\(\langle 6, 8 angle\)
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given vectors \\(\\mathbf{u} = \\langle -1, -6 \ angle\\) and \\(\\math…
\(\langle 6,-2 angle\)
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given vectors \\(\\mathbf{u} = \\langle -8, -7 \ angle\\) and \\(\\math…
\(\langle - 3,-12 angle\)
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if abcde ~ pqrst, then find the ratio of perimeters of pqrst to abcde. …
BLACK: $\frac{2}{3}$
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write the equation of the line in fully simplified slope-intercept form.
\(y = -x - 2\)
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given vectors \\( \\mathbf{u} = \\langle 8, 8 \ angle \\) and \\( \\mat…
\(\langle 0, 4 angle\)
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14 the lengths of the sides of a triangle are in the ratio 3:5:7. its p…
YELLOW: 56 cm
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system a line 1: $y = -\frac{2}{3}x - 4$ line 2: $y = -\frac{2}{3}x + 1…
This system of equations is: Inconsistent This means the system has: no solution ### System B
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5. in right triangle ( abc ), hypotenuse ( ab = 15 ) and ( angle a = 35…
c. 8.6
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4. find the approximate value of x: a 90.23 b 95.84 c 76.05 d 88.54
b. 95.84
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line 1: ( y = 2x ) line 2: ( -2x + y = 0 ) this system of equations is:…
This system of equations is: consistent dependent This means the system has: infinitely many solutions Solution: (All points on \( y = 2x \), e.g., for any \( x \), \( (x, 2x) \))…
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3. find the three trigonometric ratios of each of the acute angles in t…
c. $\sin N = \frac{3}{5}, \cos N = \frac{4}{5}, \tan N = \frac{3}{4}; \sin M = \frac{4}{5}, \cos M = \frac{3}{5}, \tan M = \frac{4}{3}$
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2. use the given information about $\\triangle abc$ with right angle $b…
c. \( a \approx 15.01, b \approx 16.56 \)
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question write the equation of the line in fully simplified slope - int…
$y=-2x + 8$
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1. use the given information about $\\triangle abc$ with right angle $b…
a. \( c \approx 23.18, a \approx 6.21 \)
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4. an angle of a parallelogram measures 30°. list the measures of the o…
The other angles are $30^\circ$, $150^\circ$, and $150^\circ$.
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graph y = 3
A horizontal straight line passing through the point $(0, 3)$ (parallel to the x-axis, where every point on the line has a y-coordinate of 3)
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4. find the circumference. 22 cm
$22\pi$ cm (or approximately 69.14 cm, or $\frac{484}{7}$ cm)
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using the graph, determine the coordinates of the y-intercept of the pa…
$(0, -5)$
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using the graph, determine the coordinates of the y-intercept of the pa…
$(0, -4)$
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question graph the line that passes through the points (8, -4) and (-8,…
The equation of the line is \( y =-\frac{3}{4}x + 2 \). To graph the line, plot the points \((8,-4)\) and \((-8,8)\) and draw a straight line through them.
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graph the image of rectangle pqrs after a reflection over the line y = …
The image of rectangle \( PQRS \) after reflection over \( y = 1 \) has vertices \( P'(-9, 9) \), \( Q'(-8, 9) \), \( R'(-8, 3) \), \( S'(-9, 3) \). (To graph, plot these points a…
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find the volume of this triangular prism. be sure to include the correc…
\( 270 \text{ in}^3 \)
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5. the bakery makes square 2-layer cakes for $45. each layer measures 1…
216 cubic inches
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find the volume of this triangular prism. be sure to include the correc…
$224\ \text{yd}^3$
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directions: find the value of each variable. 5. 4. 7. 8. 9. 10. 11. if …
5. $x=4$ 6. $x=\frac{205}{29} \approx 7.07$ 7. $x=16$ 8. $x=20.5$ 9. $x=27$ 10. $x=\frac{123}{11} \approx 11.18$ 11. $m\angle 1=43^\circ$, $m\angle 2=17^\circ$, $m\angle 3=120^\ci…
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3. e f g triangle, angle at e is 25°, angle at g is 25°, side gf is 18 …
For $\triangle EFG$: $EF = 18$ m $m\angle F = 134^\circ$ For $\triangle PQR$: $m\angle P = 60^\circ$ $m\angle Q = 60^\circ$ $m\angle R = 60^\circ$
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graph the image of kite pqrs after a reflection over the y - axis.
The image of kite \( PQRS \) after reflection over the \( y \)-axis has vertices at \( P'(6, -1) \), \( Q'(4, 0) \), \( R'(6, 5) \), and \( S'(8, 0) \). (Graphing these points and…
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question find the length of side ( x ) to the nearest tenth. answer att…
\(5.8\)
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find the length of side ( x ) to the nearest tenth. answer attempt 1 ou…
\( x = 1.5 \)
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find the length of side ( x ) to the nearest tenth.
\(2.1\)
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find the length of side ( x ) to the nearest tenth.
13.9
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question find the length of side ( x ) to the nearest tenth. answer att…
\(10.4\)
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regularity find each measure. 20. ( mangle cad ) 21. ( mangle acd ) 22.…
\( 44^\circ \) ### Problem 21: \( m\angle ACD \)
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the triangle below is equilateral. find the length of side ( x ) to the…
\(1.0\)
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10. triangle lmn is on a coordinate plane with its vertices located at …
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