幾何
三角形、円、座標幾何、証明問題。
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a figure containing $\\angle lmn$ is dilated by a scale factor of $\\fr…
$79^\circ$
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question \\(\\overline{de}\\) is dilated by a scale factor of 2 to form…
7
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draw the front, top, and side views of the figure.
To draw the views: ## Front View: Draw three vertical columns of squares. The left column has 4 squares, the middle column has 3 squares, and the right column has 2 squares (stack…
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identify the figure shown in the front, top, and side views.
The figure is a composite of unit cubes: a base row of 5 unit cubes (arranged in a line, depth = 1), and on the 4th unit cube (from the left) of this base row, 2 more unit cubes a…
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find the value of each variable. 10. 11. 12.
10. $x = 36$ 11. $n = 125$ 12. $x = 205$
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find the value of each variable 10. 11
Problem 10: $x = 36$ Problem 11: $n = 83.4$ Problem 12: The unknown angle is $150^\circ$
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the roof of a house is the shape of an isosceles right triangle as show…
A. 5 ft
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question 2 of 9 draw the figure shown in the front, top, and side views…
The 3D figure consists of a horizontal row of 5 cubes (in the bottom layer) with the middle (3rd) cube having 2 additional cubes stacked vertically on top of it, resulting in a st…
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rectangles r and s are similar. if the area of rectangle r is 154, what…
The area of rectangle S is \( 55.44 \).
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2. the ratio of the measures of the sides of a triangle is 9:12:5. if t…
The side lengths are 45 feet, 60 feet, and 25 feet.
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topic 1: ratio & proportion 1. the ratio of the measures of the angles …
The measures of the angles are $96^\circ$, $36^\circ$, and $48^\circ$.
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9. ______ the language of the indo - aryans in the indus valley in whic…
9. b. Sanskrit 10. d. Sewage, Grid 11. d. Hinduism 12. d. No one knows for sure 13. c. Caste System 14. d. No 15. b. Brahmins 16. c. Dalits 17. c. Jainism 18. b. Buddhism
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determine a series of transformations that would map figure t onto figu…
Reflection over the x-axis followed by a translation (10 units right and 9 units up)
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determine the intercepts of the line. y-intercept: (\\square , \\square…
y-intercept: (0, 2) x-intercept: (3, 0)
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in the figure above, $rt = tu$. what is the value of $x$? a) 72 b) 66 c…
C) 64
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what is the area of the letter zora made? a = ? in.²
\(50\)
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find the volume of each figure. round to the nearest tenth. 1) 2) 15 yd…
1) $\boldsymbol{15}$ yd³ 2) $\boldsymbol{10}$ mi³ 3) $\boldsymbol{15}$ yd³ 4) $\boldsymbol{3.1}$ km³ 5) $\boldsymbol{37.7}$ in³ 6) $\boldsymbol{8}$ m³ 7) $\boldsymbol{22.5}$ yd³ 8…
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select the correct answer from each drop down menu points a, b, and c f…
To solve the problem of proving the sum of the interior angles of \(\triangle ABC\) is \(180^\circ\), we analyze the given statements and reasons: ### First Drop - Down (for \(\an…
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find the lateral surface area of the cylinder. lsa =? cm² round to the …
\( 87.92 \)
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describe coles first encounter with what appears to be spirit bear. dis…
### Cole's First Encounter with Spirit Bear: Cole Matthews, exiled to an Alaskan island as part of Circle Justice, is roaming the woods when he spots a rare white Spirit Bear. Ove…
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type the correct answer in the box. the figure shows five polygons: abc…
KLMNO
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in quadrilateral abcd, ∠abc is a right angle and ab = 4 units. quadrila…
A. \(\overline{A'B'}\) is 8 units long and lies on the same line as \(\overline{AB}\)
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for each pair of figures below, choose how they are related. options fo…
1. Rotation 2. Reflection 3. Rotation 4. Translation
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in the figure below, $\\triangle opq$ is drawn. the line $\\overleftrig…
$\boldsymbol{m\angle PQO = m\angle QOS}$ because they are **alternate interior angles**
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are these shapes congruent? yes no
yes
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are these shapes congruent? yes no submit
yes
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse with vertices at \((0,\pm3)\) and co - vertices at \((\pm2,0)\), plotted and connected as described above. (To actually draw it, plot the points \((0,3)\),…
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the diagram shows a convex polygon. what is the value of y? y = \\squar…
$52$
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the diagram shows a regular polygon. what is the value of x? write your…
$60$
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determine if triangle uvw and triangle xyz are or are not similar, and,…
The triangles are similar. We know this because the ratios of all corresponding sides are equal ( \( \frac{28}{140} = \frac{16}{80} = \frac{22}{110} = \frac{1}{5} \) ), so by the …
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read the poem. there are several questions about this poem. there are 5…
3. In their imaginations, the speaker and listener immerse themselves in Rousseau’s world and feel included in one of his paintings. ### Part B
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here are some facts about units of length. unit symbol fact inch in foo…
$72\ \text{in} = 6\ \text{ft}$ $15\ \text{ft} = 5\ \text{yd}$
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a right triangle has one side that measures 4 in. the angle opposite th…
4.1 in.
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what is the length of the side opposite ∠b? ○ 3 units ○ 4 units ○ 5 uni…
4 units
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julian describes an angle in the triangle using these statements. \\(\\…
$\boldsymbol{\angle G}$
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consider triangle qrs. the legs each have a length of 10 units. what is…
D. $10\sqrt{2}$ units
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each leg of a 45°-45°-90° triangle measures 12 cm. what is the length o…
D. $12\sqrt{2}$ cm
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the formula for the circumference of a circle is $c = 2pi r$, where $r$…
B. $r = 8$
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which of these relations are functions? select all that apply.
The top-left linear graph, top-right curved graph, and bottom-left parabolic graph are functions.
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find the area of the triangle below. be sure to include the correct uni…
210 $\text{ft}^2$
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fill in the sentence below with the description that most specifically …
exactly one pair of sides is parallel
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what is the length of the hypotenuse? if necessary, round to the neares…
100 meters
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in the rectangle below, $eg = 5x + 36$ and $qp = 10x - 14$. find $x$.
$x = 10$
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Parallel Graph 2: Perpendicular Graph 3: Neither Graph 4: Parallel
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question write the equation of the line in fully simplified slope - int…
$y = x - 2$
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fill in the blanks below. (a) find the slope of the line passing throug…
(a) slope: $0$ (b) slope: undefined
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what is the length of the hypotenuse? if necessary, round to the neares…
5
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given ( l parallel m parallel n ), find the value of ( x ).
$x = 115$
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given ( l parallel m parallel n ), find the value of ( x ).
$x = 53$
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name the figure below in two different ways. symbol: and
$\overrightarrow{TR}$ and $\overrightarrow{TF}$
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solve for t and graph the solution. 9|t - 4| < 9 click two endpoints to…
The solution is $3 < t < 5$. To graph it, mark open circles at 3 and 5 on the number line, then shade the segment between them.
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what is the length of the missing leg? if necessary, round to the neare…
$59.0$ centimeters
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complete the proof that \\(\\overline{xz} \\cong \\overline{vz}\\). (im…
Statement for step 7: \( \boldsymbol{\triangle VWZ \cong \triangle XWZ} \) Reason for step 7: \( \boldsymbol{\text{SAS}} \) (and then \( \overline{XZ} \cong \overline{VZ} \) by CP…
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look at the diagram. which equation can be used to solve for x? $2x + 2…
Equation to solve for \(x\): \(5x + 25 = 145\) \(x = 24\)
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these figures are congruent. what is ( mangle i )?
$71$
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list the angle measures of \\(\\triangle ijk\\) in order from smallest …
\(m\angle K<m\angle I < m\angle J\)
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select the correct answer from each drop - down menu. complete the stat…
The ratio of the heights is $3:1$. The ratio of the base areas is $9:1$. The ratio of the volumes is $27:1$.
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find the area of the triangle below. be sure to include the correct uni…
$161.5\ \text{ft}^2$
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a dilation centered at the origin is applied to figure a. the result is…
\( 3 \)
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find the area of the figure. (sides meet at right angles.)
$58$ $\text{in}^2$
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find the area of this trapezoid. be sure to include the correct unit in…
$84\ \text{cm}^2$
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applying the segment addition postulate point b lies between points a a…
The value of \( x \) is \( 5 \). The length of \( \overline{AB} \) in inches is \( 5 \). The length of \( \overline{BC} \) in inches is \( 15 \).
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the equation of a circle is given below. identify the radius and the ce…
Radius: \(4\) Center: \((-4,-2)\)
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find the area of the figure. (sides meet at right angles.)
36
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find the area of the figure. (sides meet at right angles.) 8 in 5 in 5 …
$24 + 6 = 30$ square inches
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calculate the area of the given irregular shape. type only the number v…
44
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solve the following inequality. then graph the solution set. |x + 8| < …
A. The solution is an interval. The solution is $\boldsymbol{(-14, -2)}$ C. (the graph with open circles at -14 and -2, shading between them, option C in the image)
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triangle inequalities review! solve the following inequalities. watch o…
1. $x > 7$ 2. $x < 11$ 3. $x < \frac{14}{5}$ (or $x < 2.8$) 4. $x > 6$ 5. $4 < x < 14$ 6. $13 < x < 21$
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find wx in rectangle vwxy. w v 7a+32 a+68 x 4a-5 y wx =
$\frac{607}{3}$ (or $202\frac{1}{3}$ as a mixed number)
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give the equation of the circle centered at the origin and passing thro…
\(x^2 + y^2 = 81\)
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find ( mangle q ) in rhombus ( qrst ). ( mangle q = square^circ )
$\frac{230}{3}$ or approximately $76.67^\circ$
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3. two complementary angles are expressed as 4x - 16 and 2x + 10. find …
Angle relationship: Complementary angles; this means the sum of the two angles equals $90^\circ$. Measure of first angle: $48^\circ$ Measure of second angle: $42^\circ$
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find ij in parallelogram ghij. the parallelogram ghij has side ij label…
$4(9)+23 = 36 + 23 = 59$ $IJ = 59$
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find the value of s in parallelogram abcd.
$s = 8$
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5.qr.2.1 1. what is the area of the rectangle below? 3.5 cm 10.1 cm ___…
38.38 square centimeters
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find the measure of each lettered angle. a = b = c = d = e =
$a = 20^\circ$ $b = 90^\circ$ $c = 70^\circ$ $d = 110^\circ$ $e = 180^\circ$
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find the value of v that makes quadrilateral rstu a parallelogram. v =
$43$
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can you show that this quadrilateral is a parallelogram? yes no
yes
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find the values of x and y. (the image shows a coordinate - like diagra…
\(x = 17\) \(y = 14\)
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can you show that this quadrilateral is a parallelogram? 62° 118° 62° y…
yes
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find the value of x that makes quadrilateral stuv a parallelogram.\ \ \…
$39$
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can you show that this quadrilateral is a parallelogram? yes no
yes
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i) find the value of y that makes quadrilateral fghi a parallelogram. h…
$4$
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one angle of a parallelogram measures 136°. what are the measures of th…
$44^\circ$, $136^\circ$, and $44^\circ$
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two angles of a quadrilateral measure 47° and 279°. the other two angle…
$12^\circ$ and $22^\circ$
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one angle of a parallelogram measures 60°. what are the measures of the…
$60^\circ$, $120^\circ$, and $120^\circ$
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4. which graph represents the equation $-4x^{2}+8y + 7 = 0$?
The correct graph is an upward-opening parabola with vertex at $(0, -\frac{7}{8})$ (matching the equation $y = \frac{1}{2}x^2 - \frac{7}{8}$; the provided partial options do not i…
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two angles of a quadrilateral measure 258° and 56°. the other two angle…
$20^\circ$ and $26^\circ$
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3. which conic section is represented by the equation $36x^{2}+8y^{2}=8…
Ellipse
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a quadrilateral has two angles that measure 259° and 23°. the other two…
$12^\circ$ and $66^\circ$
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2. which conic section is represented by the equation $x^2 - 8y + y^2 +…
Circle
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one angle of a parallelogram measures 29°. what are the measures of the…
$29^\circ$, $151^\circ$, and $151^\circ$
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question 8 ray is constructing a flowerbed for the zoo and wants to kno…
41 ft
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4.) a parallelogram has one angle that measures 14°, what are the measu…
$14^\circ$, $166^\circ$, and $166^\circ$
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question 7 which set of side lengths can be used to form a right triang…
30, 40, 50
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1. which graph corresponds to the equation $x^2 - y^2 = 16$?
The first graph (the hyperbola opening left and right with vertices at $(\pm 4, 0)$, scaled to the grid shown)
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a quadrilateral has two angles that measure 167° and 117°. the other tw…
$12^\circ$ and $64^\circ$
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question 6 what is the length of the diagonal of the rectangle? 17 12.7…
21.25
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question 5 this is a diagram of a ramp that will be constructed in one …
16 in.
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two angles of a quadrilateral measure 70° and 120°. the other two angle…
$80^\circ$ and $90^\circ$