幾何
三角形、円、座標幾何、証明問題。
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what is the area of this triangle? 42in squared 83in squared 21in squar…
21in squared
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circle o is represented by the equation ((x + 7)^2 + (y + 7)^2 = 16). w…
B. 4
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which equation represents a circle with center t(5,-1) and a radius of …
B. $(x-5)^2+(y+1)^2=256$
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select the correct answer. a circle is described by the equation ( x^2 …
A. (3,-4), 5 units
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what is the area of this triangle? 72.09in squared 72.09 78.0in squared…
36.045 (the option with 36.045)
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type the correct answer in the box. use numbers instead of words. the r…
30
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what is the area of this figure? 9 km 7 km 2 km 18 km 9 km 5 km 2 km 2 …
148 km²
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sample response: the graph consists of a parabola and a line. the parab…
- The graph contains a parabola that opens down and has a vertex at (0, 4). - The graph contains a line that has a slope of 1 and a y-intercept of 2.
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what is the area of this triangle? 130 squared 70 squared 130.5 squared…
70 m squared
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type the correct answer in the box. use numbers instead of words. what …
2400
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what is the area of this triangle? 130 squared 70 squared 130.5 squared…
70 m squared
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what is the area of this figure? 4 ft 1 ft 2 ft 6 ft 5 ft 6 ft square f…
34 square feet
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type the correct answer in the box. use numbers instead of words. the r…
120
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which of the graphs below shows correctly plotted points for the follow…
The bottom-most graph with points $(-1,-1)$, $(0,-2)$, $(1,-3)$, $(2,-4)$
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both sides of an equation have linear expressions. the graph of one lin…
1
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both sides of an equation have quadratic expressions. the graph of one …
0, 1, 2
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the paradox of value: determining the monetary value of products (goods…
1. **Utility (definition):** The satisfaction/benefit from consuming a good/service. 2. **Table Responses:** - Diamonds: Utility? Yes; Relatively scarce? Yes; Relatively Expensive…
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quadrilateral bcde is inscribed in circle a as shown. what is m∠e? a. 1…
A. $111^\circ$
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select the correct answer. quadrilateral bcde is inscribed in circle a …
C. The perpendicular bisectors of $\triangle BCD$ intersect at the same point as those of $\triangle BED$.
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each week, marcia travels to the office where she works, the supermarke…
B. the center of the circumscribed circle of the triangle
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the city council is planning to construct a park on north street that h…
B. at the center of the inscribed circle of the park
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select the correct answer from each drop - down menu. point a lies outs…
Step 3: M going through A and O Step 5: AB and AC
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ghlj and gstu are both parallelograms. why is ∠l ≅ ∠t?
\(\angle L \cong \angle T\) because in a parallelogram, opposite angles are congruent. For parallelogram \(GHLJ\), \(\angle L \cong \angle G\); for parallelogram \(GSTU\), \(\angl…
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proving part of the supplementary consecutive angles theorem given: abc…
First blank: same - side interior Second blank: parallel Third blank: supplementary
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finding a diagonal measure in parallelogram hgjl, hk = c - 7, jk = 3c -…
50
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find the missing measure. 4 $51^{\\circ}$ and $x^{\\circ}$ are vertical…
First, the correct option for "Therefore, they" is "are congruent". Then, \( x = 51 \).
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finding an angle measure what is the measure of ∠a? □° what is the meas…
Measure of \(\angle A\): \(\boxed{72}\) Measure of \(\angle B\): \(\boxed{108}\)
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find the missing measure. 51° and x° are therefore, they x =
\(x = 51\) For the dropdowns: - The first dropdown (describing the angle relationship): vertical angles - The second dropdown (describing their measure relationship): are equal
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identifying a side length what is the value of r? what is the length of…
The value of \( r \) is \( \boldsymbol{9} \). The length of segment \( EF \) is \( \boldsymbol{55} \) units.
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which concept is used to prove that the opposite sides of a parallelogr…
C. congruent triangles
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the sequence of figures shows a pattern. if the pattern repeats, how ma…
25
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3 m∠b = 37° the supplement of ∠b = the complement of ∠b =
The supplement of \(\angle B = 143^\circ\) The complement of \(\angle B = 53^\circ\)
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graph square efgh with vertices e(5, -1), f(5, 10), g(-6, 10), and h(-6…
121
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using the parallelogram diagonal theorem what is the length of segment …
69 units
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solving for unknown values use parallelogram abcd. what are the values …
\( x = 17 \) \( y = 10 \)
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practice with parallelogram theorems. what are the remaining angle meas…
\(m\angle B = 101^\circ\), \(m\angle C = 79^\circ\), \(m\angle D = 101^\circ\)
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graph rectangle fghi with vertices f(6, 2), g(-1, 2), h(-1, 10), and i(…
30
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a triangular prism and its net are shown below. the top and bottom of t…
a) $A=7$ cm, $B=15$ cm, $C=8$ cm, $D=17$ cm b) $420$ $\text{cm}^2$ c) $556$ $\text{cm}^2$
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the coordinate plane below represents a large city. a clock tower is lo…
(a) (Clock tower plotted at (10, 20); windmill plotted at (10, -25) as shown on the grid) (b) $|20| + |-25|$ (c) 45 kilometers
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which figures show starting steps in the construction of an equilateral…
The top-right figure and the bottom-left figure
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select the correct answer from each drop - down menu. zahid started the…
To finish his construction, Zahid needs to draw segments DF, **AB**, and **EC**
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select the correct answer from each drop - down menu. zahid started the…
Segments DF, **BE**, and **EC**
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the coordinate plane below represents a parking lot. there is a parked …
(a) (Plotted points: Motorcycle at (250, -350), Car at (250, -150) on the coordinate plane) (b) $\boldsymbol{|-350| - |-150|}$ (or $\boldsymbol{|-150 - (-350)|}$, matching the sub…
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select the correct answer from each drop - down menu. zahid started the…
Segments DF, FB, and BD (or alternatively, connecting every other point: DF, FB, BD; the correct dropdown selections are FB and BD, from the options, the valid ones are FB (not li…
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mary is inscribing a square in the circle shown, but she is having diff…
C. Create the perpendicular bisector of $\overline{FG}$. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the …
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termites land on the coordinate plane below. the first termite is locat…
1. (a) Plotted points: $(-3, 5)$ (left blue dot) and $(7, 5)$ (right blue dot) 2. (b) $\boldsymbol{|7| - |-3|}$ (or $\boldsymbol{|-3| - |7|}$; the absolute value makes the order i…
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mary is inscribing a square in the circle shown, but she is having diff…
C. Create the perpendicular bisector of $\overline{FG}$. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the …
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select the correct answer. vincent wants to construct a regular hexagon…
D. Vincent's construction method produces a hexagon that may not be equilateral and may not be equiangular.
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what is the scale factor from abc to abc
$\frac{1}{6}$
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coordinate plane below represents a large city. a windmill is located a…
1. (Plot: Windmill at (-30, 25), Water tower at (-15, 25) on the grid) 2. $\vert -15 - (-30) \vert$ 3. 15 kilometers
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the coordinate plane below represents a parking lot. there is a parked …
### Part (a) To plot the motorcycle at \((100, 150)\), move 100 units to the right on the x - axis (since \(x = 100\)) and 150 units up on the y - axis (since \(y=150\)). To plot …
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what is the length of the hypotenuse of the triangle when x = 2? the le…
15
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writing find the length of the hypotenuse of the right triangle. use pe…
50
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consider the following two sectors. which statement correctly gives the…
C. The unknown arc length is 30.33 cm. Because all circles are similar, the length of the arc intercepted by an angle is proportional to the radius.
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select the correct answer from the drop - down menu central angle bac o…
55.2
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note that jklm has vertices j(-5, -3), k(2, -1), l(4, 4), and m(-3, 2).…
(A) Slope of $\overline{LM}$: $\frac{2}{7}$ Slope of side adjacent to $\overline{LM}$: $\frac{5}{2}$ (B) Length of $\overline{LM}$: $\sqrt{53}$ (or $\approx 7.28$) Length of side …
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select the correct answer from each drop - down menu. juan is clearing …
The land Juan has cleared by midday has an arc length of about 64 inches and an area of about 826 square inches.
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select correct answer from the drop - down menu. charlie stands at poin…
86
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drag each tile to the correct box. consider the given circles. order th…
Sector A < Sector C < Sector B
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persevere with problems the bullseye on an archery target has a radius …
\( 226.08 \)
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reason inductively explain how you could find the area of the three - q…
\(\frac{3}{4}\)
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(a) find the length of $overline{pq}$ and the length of $overline{rs}$.…
The quadrilateral is a parallelogram because it has one pair of opposite sides that are both congruent and parallel.
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tarek has 72 feet of plastic fencing to make a flower garden in his bac…
\( 88.38 \)
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tarek has 72 feet of plastic fencing to make a flower garden in his bac…
\( 88.38 \)
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you might need: calculator find the area of the shape. either enter an …
Exact answer: $27\pi$ units$^2$ Decimal approximation: $84.78$ units$^2$
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the exact circumference of a circle is 34π meters. what is the approxim…
907.46
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vidur needs to buy mulch for his garden. what is the area of his garden…
The area of Vidur's garden is \( 47.49 \) square yards.
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which statement is true regarding the parallel and perpendicular lines …
D. \( w \parallel n \) and \( w \perp m \) (assuming the last option is labeled D; if the options are labeled as per the order, the last option with \( w \parallel n \) and \( w \…
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given $m\\parallel n$, find the value of $x$.
\( x = 17 \)
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find the slope of the line graphed below.
\(-\frac{5}{2}\) (or -2.5)
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the movement of the progress bar may be uneven because questions can be…
22 feet
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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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3) classify each figure as line, ray, or line segment. then, show how t…
Type: line Proper Notation: \( \overleftrightarrow{UT} \) (or \( \overleftrightarrow{TU} \)) ### Part (b)
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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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graph each equation. 9) \\(\frac{x^2}{4} + \frac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$, with vertices at $(0, 3)$, $(0, -3)$, $(2, 0)$, and $(-2, 0)$, forming a vertically elongated oval shape passing through th…
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graph \\(\\frac{1}{12}\\), \\(\\frac{1}{2}\\), and \\(\\frac{1}{4}\\) o…
\(\frac{1}{2}\), \(\frac{1}{4}\), \(\frac{1}{12}\)
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line c has an equation of ( y = -\frac{3}{4}x - 3 ). line d, which is p…
$y = -\frac{3}{4}x - \frac{7}{2}$
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find the length x.
\( \boxed{4.5} \) (or \( \frac{9}{2} \))
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find the tangent of $\\angle x$. simplify your answer and write it as a…
$\frac{35}{12}$
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using the graph, determine the coordinates of the y-intercept of the pa…
$(0, -4)$
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what is the equation of the vertical line through (2, 3)?
$x = 2$
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find the length of side ( x ) to the nearest tenth. (there is a right t…
\(x = 5.2\)
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find the length of side x in simplest radical form with a rational deno…
\(\frac{\sqrt{2}}{2}\)
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use the graph to estimate the x- and y-intercepts of the function and d…
x-intercept(s): $(-1, 0)$ y-intercept: $(0, 3)$ positive: when $x > -1$ negative: when $x < -1$
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the medians of $\\triangle abc$ are $\\overline{ae}$, $\\overline{bf}$,…
$GD = 10$ $GF = 9$ $AE = 21$
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solve for ( x ) and graph the solution on the number line below. if pos…
## Inequality Notation: $x > 10$ ## Number Line: Draw an open circle at 10, with an arrow pointing to the right (toward positive infinity) along the given number line.
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the figure below is a square. find the length of side ( x ) to the near…
\(0.7\)
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the triangle below is equilateral. find the length of side x to the nea…
\( 4.5 \)
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which of the following describes the transformation from the preimage t…
A reflection over the y - axis
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which of the following describes the transformation from the preimage t…
A reflection over the x - axis
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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 measure of the missing angles. answer attempt 1 out of 2 d = \…
$d = 34^\circ$, $e = 58^\circ$, $f = 64^\circ$
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1. what is the area of this shape? \\(\\square\\) = 1 square unit
20 square units
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find the measure of the missing angles. answer attempt 1 out of 2 x = \…
$x = 61^\circ$ $y = 29^\circ$
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find the length of side ( x ) to the nearest tenth.
13.9
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this is a parallelogram. which shows the parallelogram cut and rearrang…
56
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which figure is a translation of figure a? figure b figure c figure d
Figure C
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find the perimeter. simplify your answer.
The perimeter of the rectangle is \( 4u - 2 \)
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#6 6.8m 21.1m area:
71.74 square meters (assuming right triangle with given sides as legs)
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nadia is crossing a pool that is 1 meter wide. she has a log that is 4 …
$\frac{1}{4}$