几何
三角形、圆、解析几何与证明题。
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what well - known mathematical model could you use to determine the siz…
A. \(A = L\times W\); The area formula would give the general area of the ground, thus estimating the size of the yard.
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question a boat leaves the marina and sails 5 miles west, then 10 miles…
$7.81$
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question the vector $overrightarrow{ab}$ has initial point $a(5, - 1)$ …
$|\overrightarrow{AB}| = \sqrt{162}$; $\theta = 135^{\circ}$
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question given the points f(-7,1) and e(-2,-7), determine the position …
B. $\langle - 5,8 angle$
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question given the points q(-5, -4) and p(-3, 7), determine the positio…
A. $\langle - 2,-11 angle$
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question the vector $overrightarrow{cd}$ has initial point $c(1, - 6)$ …
$(2,-3)$
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use the image to answer the question. to prove that quadrilateral abcd …
11
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find the value of x.
$66$
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identifying the rule for a composition of transformations. which rule d…
$R_{o,180}\circ T_{2,0}(x,y)$
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solve the inequality and graph the solution. 2 > t - 4. to draw a ray, …
The solution of the inequality is $t<6$. On the number - line, we have an open circle at 6 and an arrow pointing to the left.
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the coordinates of the endpoints of $overline{pq}$ are $p(3, 5)$ and $q…
$(6,7)$
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write the vector in component form.
\(\langle4,10 angle\)
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find the area of the shape. (sides meet at right angles.) square inches
14
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look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarr…
$49$
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question 6 of 10 which term describes the red curve in the figure below…
A. Ellipse
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in the diagram, the length of segment vs is 39 units. what is the lengt…
# Explanation: ## Step1: Set up an equation using the property of a kite. In a kite, the non - congruent adjacent sides are equal. So, \(3x + 4=6x - 3\). Solve for \(x\): \[ \begi…
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figure 1 and figure 2 below are congruent. which side corresponds to si…
LN
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graph the line y = 3.
Draw a horizontal line passing through the point $(0,3)$ on the $y$-axis. All points on this line have a $y$-coordinate of 3 regardless of the $x$-coordinate.
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determine visually whether the graph is symmetric with respect to the x…
Is the graph symmetric with respect to the x - axis? B. No Is the graph symmetric with respect to the y - axis? B. No Is the graph symmetric with respect to the origin? B. No
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determining vertices after a sequence of transformations. analyze the p…
\(D''(1,-2)\)
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analyzing a sequence of transformations analyze the diagram. what is th…
The first transformation was a translation down and right. The second transformation was a rotation about point A.
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figure 1 and figure 2 below are congruent. which point corresponds to p…
T
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figure 1 and figure 2 below are congruent. which angle corresponds to a…
Angle O
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4. solve for x and graph the solution on the number line below. 3 - x >…
The solution of the inequality is \(x<-\frac{3}{2}\) or \(x>\frac{3}{2}\). On the number line, open - circles are at \(x=-1.5\) and \(x = 1.5\), and the regions to the left of \(x…
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score on last try: 6.67 of 10 pts. see details for more. at least one s…
\(0\)
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which expression can be used to find the surface area of the triangular…
36
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which net represents the three - dimensional figure shown on the right?
The first figure (top - left figure)
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determine a series of transformations that would map polygon abcde onto…
First, translate polygon \(ABCDE\) 10 units to the left, then reflect the resulting polygon over the \(x -\)axis.
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hallar el área de un círculo cuyo radio mide 4 ft. usar 3.14 como valor…
$50.24$ square - feet
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which expression can be used to find the surface area of the trapezoida…
162
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a net for a three - dimensional figure is shown on grid paper. each squ…
$72$ in.$^{2}$
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line d has a slope of $\frac{-2}{9}$. line e has a slope of $\frac{9}{2…
perpendicular
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solve the linear inequality for b and graph the answer in the number li…
The solution in inequality notation is $b\geq - 1$. On the number - line, you would have a closed circle at - 1 (because the inequality is $\geq$) and an arrow pointing to the rig…
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question 8 of 10 what is the area of the obtuse triangle given below? 1…
B. 104.5 sq. units
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question 1 of 10 what is the polygon being rotated to create the blue q…
A. Triangle
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question 8 of 10 how do you know if two line segments are perpendicular…
B. Their slopes are negative reciprocals.
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question 3 of 10 what is the distance formula? a. $sqrt{(x_2 - x_1)+(y_…
B. $\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
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question 9 of 10 the lines shown below are parallel. if the green line …
D. -4
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a cement path consists of six equal - sized cement squares arranged in …
# Explicación: ## Paso 1: Encontrar el área de un solo cuadrado Dividimos el área total entre el número de cuadrados. El área total es 96 pies cuadrados y hay 6 cuadrados. Entonce…
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yz is a translation of yz. write the translation rule. (x, y) → (x + , …
$(x,y)\to(x + 6,y + 15)$
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tv || fh and fh || qs. complete the proof that m∠srw + m∠puv = 180°. 1.…
3. Corresponding angles postulate 4. Same - side interior angles postulate 5. Substitution property of equality
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inglés español statement reason 1 (overleftrightarrow{tv}paralleloverle…
Corresponding Angles Theorem
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complete the proof that ∠stw≅∠twx. statement reason 1. $overleftrightar…
Transitive Property of Congruence
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complete the proof that m∠rut + m∠qru = 180°. 1 (overleftrightarrow{tv}…
Substitution
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complete the proof that ∠suv≅∠wxz. statement reason 1 wy || tv given 2 …
Transitive Property of Congruence
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which statements are true regarding the symmetry of the isosceles trape…
The trapezoid has 1 line of reflectional symmetry.
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analyzing the symmetry of trapezoids. which statements are true regardi…
The trapezoid has 1 line of reflectional symmetry. The trapezoid has rotational symmetry of order 1.
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5. which quadrilateral is the image of reflecting quadrilateral dlsf ac…
5. Cannot be determined without more information (use $(x,y)\to(x, - y)$ rule for x - axis reflection). 6. Cannot be determined without more information (use $(x,y)\to(-x,y)$ rule…
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5. which quadrilateral is the image of reflecting quadrilateral disf ac…
5. Cannot be determined without coordinates, use $(x,y)\to(x, - y)$ for each vertex. 6. Cannot be determined without coordinates, use $(x,y)\to(-x,y)$ for each vertex. 7. Compare …
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15. △cde is an isosceles triangle with ∠d≅∠e. if cd = 4x + 9, de = 7x -…
\(x=\frac{14}{3}\), \(CD=\frac{83}{3}\), \(DE=\frac{83}{3}\), \(CE=\frac{143}{3}\)
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22. determine if the triangles below are congruent. if yes, state which…
a) Yes, by SAS. b) Yes, by SSS. c) Yes, by SAS. d) Yes, by HL.
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write the coordinates of the vertices after a translation 6 units right…
$Q'(-2,-6)$ $R'(7,-6)$ $S'(-1,-2)$
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21. what are the methods to prove triangles are congruent?
Side - Side - Side (SSS), Side - Angle - Side (SAS), Angle - Side - Angle (ASA), Angle - Angle - Side (AAS), Hypotenuse - Leg (HL) for right - angled triangles.
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graph the image of parallelogram stuv after a translation 4 units down.
Plot the points $S'(-1,-3)$, $T'(1,-3)$, $U'(1,5)$, $V'(-1,5)$ and connect them to get the translated parallelogram.
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20. if △wxy≅△hji, complete each part. a) ji = b) jh = c) m∠w = d) m∠j =…
a) $JI = 16$ m b) $JH = 15$ m c) $m\angle W=37^{\circ}$ d) $m\angle J = 114^{\circ}$ e) $m\angle I = 29^{\circ}$
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graph the image of trapezoid bcde after a translation 4 units left.
Graph the trapezoid with vertices \(B'(-10,-8)\), \(C'(-10,1)\), \(D'(-3,0)\), \(E'(-3,-8)\) on the given coordinate - plane.
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identifying reflectional symmetry of a regular hexagon how many lines o…
6
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graph the image of parallelogram stuv after a translation 3 units right…
Graph the parallelogram with vertices \(S'(-2,-1)\), \(T'(3,-1)\), \(U'(6,7)\), \(V'(1,7)\) on the same coordinate - grid.
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graph the image of trapezoid tuvw after a translation 4 units right and…
Graph the trapezoid with vertices $(0,-9)$, $(0,-5)$, $(8,1)$, $(8,0)$.
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graph the image of rectangle cdef after a translation 4 units left and …
Graph the rectangle with vertices $(-10,3),(-6,3),(-6,9),(-10,9)$ on the given coordinate - grid.
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19. if △kpl≅△acm, complete each part. a) \\(\\overline{kl}\\cong\\_\\_ …
a) $\overline{AM}$ b) $\overline{KP}$ c) $\overline{CM}$ d) $\angle C$ e) $\angle A$ f) $\angle L$
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graph the image of square jklm after a translation 10 units left and 3 …
Graph the square with vertices $(-10,-5)$, $(0,-5)$, $(0,5)$, $(-10,5)$.
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18. write three valid congruency statements given the triangles below.
a) $\triangle PQR\cong\triangle TUS$ b) $\triangle RQP\cong\triangle UTS$ c) $\triangle QRP\cong\triangle TSU$
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graph the image of △stu after a translation 4 units left and 5 units up.
Graph the points $S'(3,1)$, $T'(3,10)$, $U'(-3,2)$ and connect them to get the image of $\triangle STU$ after the given translation.
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in △jkl, if (overline{jk}congoverline{jl}), (mangle j=(23x - 4)^{circ})…
\(x = 6\), \(m\angle J=134^{\circ}\), \(m\angle K = 23^{\circ}\), \(m\angle L=23^{\circ}\)
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16. △qrs is an equilateral triangle. if qr is seventeen more than twice…
$x = 9$, $QR=35$, $RS = 35$, $QS = 35$
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15. △cde is an isosceles triangle with ∠d≅∠e. if cd = 4x + 9, de = 7x -…
$x=\frac{14}{3}$, $CD=\frac{83}{3}$, $DE=\frac{83}{3}$, $CE=\frac{143}{3}$
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14. (9x - 3)° x = ____
$x = 7$
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13. (8x - 23)° 34° x = ___
\(12\)
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12. m p n m∠p = m∠n = m∠m =
\(m\angle M = 60^{\circ}\), \(m\angle N=60^{\circ}\), \(m\angle P = 60^{\circ}\)
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11. a 9 ft 48° 48° b m∠a = ac = 12. m n p m∠p = m∠n = m∠m =
$m\angle A = 84^{\circ}$, $AC = 9$ ft, $m\angle M=m\angle N$, $m\angle P=180^{\circ}-2m\angle M$ (more information needed for exact numerical values of angles in $\triangle MNP$)
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10. m∠e = m∠g =
\(m\angle E = 37^{\circ}\), \(m\angle G = 37^{\circ}\)
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9. p 74° r m∠q = m∠r =
$m\angle R = 74^{\circ}$, $m\angle Q = 32^{\circ}$
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m∠a = 8 a (5x - 27)° (10x - 23)° c b (7x - 26)°
\(\frac{343}{11}\) degrees
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for questions 7 and 8, find the measure of ∠a. m∠a =
116°
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m∠1 = m∠2 = m∠3 = m∠4 = m∠5 = m∠6 = m∠7 =
$m\angle1 = 4^{\circ}$ $m\angle2 = 115^{\circ}$ $m\angle3 = 29^{\circ}$ $m\angle4 = 65^{\circ}$ $m\angle5 = 65^{\circ}$ $m\angle6 = 86^{\circ}$ $m\angle7 = 29^{\circ}$
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m∠1 = m∠2 = m∠3 = m∠4 = m∠5 =
$m\angle1 = 88^{\circ}$ $m\angle2 = 11^{\circ}$ $m\angle3 = 81^{\circ}$ $m\angle4 = 86^{\circ}$ $m\angle5 = 13^{\circ}$
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a farmer has 3600 feet of fence to enclose a rectangular area. what dim…
The length is 900 ft and the width is 900 ft, and the maximum area is 810000 square feet.
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a building is 3 ft from a 7 - ft fence that surrounds the property. a w…
$15.6$
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a house 25 m by 9 m is surrounded by a walkway 1.6 m wide. a) find the …
a) $344.04$ m² b) $119.04$ m²
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topic 11 classifying triangles 1. classify each triangle by its angles …
a. Scalene right - triangle b. Scalene acute triangle c. Isosceles acute triangle d. Isosceles acute triangle
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solve the problem. a kite is flying on 149 feet of string. how high is …
140
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solve the problem. a kite is flying on 149 feet of string. how high is …
191
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a house 25 m by 9 m is surrounded by a walkway 1.6 m wide. a) find the …
a) $344.04$ $m^{2}$ b) $119.04$ $m^{2}$
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approximate the area of a circle with the given radius. use π ≈ 3.14 an…
$4.5$ m²
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a cardboard box is 67 cm long, 51 cm wide, and 66 cm tall. a) round all…
a) The estimated volume is 245000 $cm^{3}$. b) The actual volume is 225522 $cm^{3}$.
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1. classify each triangle by its angles and sides. a. △abe. b. △bec. c.…
$\triangle QRT$ is an isosceles triangle.
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a baseball diamond is a square whose sides are about 25 m in length. a)…
a) 400 m b) 0.4 km c) 400000 mm
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a painting, including the frame, measures 52 cm by 82 cm. a) how many c…
a) 268 cm b) 2680 mm
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which pair of angles are vertical angles? ∠wru and ∠srt ∠wrs and ∠vrt ∠…
$\angle WRS$ and $\angle VRT$
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in the diagram, which angles are vertical angles? select two options. ∠…
$\angle ABE$ and $\angle CBD$, $\angle ABC$ and $\angle EBD$
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if the m∠srw = 85°, what are the measures of ∠vru and ∠urw? m∠vru = m∠u…
$m\angle VRU = 85^{\circ}$ $m\angle URW = 95^{\circ}$
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what is the measure of ∠dae? 45° 46° 91° 146°
$46^{\circ}$
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given: m∠qvr = 49° prove: x = 15 complete the steps of the proof. state…
4. vertical angles are congruent 6. $3x + 4 = 49$
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what is m∠srw? 18 54 126 108 (2x + 18)° (3x)°
$108$
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what is m∠srw? 18 54 126 108 (2x + 18)° (3x)°
# Explanation: ## Step1: Note vertical - angle property Vertical angles are equal. $\angle SRW$ and $\angle TRV$ are vertical angles. Also, $\angle TRS$ and $\angle VRW$ are verti…
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imagine two lines intersect. how can the properties of linear pairs and…
We can use the property that linear pairs of angles sum to 180° to find the measure of an adjacent angle when one is known. And we can use the property that vertical angles are co…
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given: m∠elg = 124° prove: x = 28 complete the steps in the two - colum…
4. The sum of measures of angles in a linear pair is 180 degrees. 6. $2x=56$
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what is the value of x? 30 45 55 60
45
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what does the word compensatory mean? extraordinary large designed to a…
given in order to make up for a loss