Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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use the following information to answer questions 3 and 4.candice drew …
3. B. $(x,y) \longrightarrow (x,-y)$ 4. A. $(6,-5)$
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9. which of the rectangular prisms below has the greatest total surface…
A. Rectangular prism with dimensions 12 in, 6 in, 6 in (surface area = 360 square inches)
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find the distance between the points a and b g(that is, find the length…
4.24 units
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y-intercept=-2 (-2, 6) y-intercept what is the y-intercept of the blue …
The y-intercept of the blue line is $\boldsymbol{5}$ (or the point $(0, 5)$)
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(x, y) → (x, -y) d (x, y) → (x, y - 2) 8.10c (m) 4. if candice rotated …
B. $(x, y) \longrightarrow (x - 4, y)$
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name find the slope, y-intercept of the line, and then write an equatio…
### For Line 1: Slope $m$: $\boldsymbol{\frac{-4}{3}}$ y-intercept $b$: $\boldsymbol{\frac{20}{3}}$ Equation: $\boldsymbol{y=\frac{-4}{3}x+\frac{20}{3}}$ ### For Line 2: Slope $m$…
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directions: for each equation below, make a blue circle around the y-in…
-2
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finding arc length using radians in circle o, angle aob measures $\frac…
\(4\pi\) in. (the blank should be filled with 4)
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8. the pyramid pictured below has a total surface area of 336 centimete…
8 cm
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arc ab is $\frac{1}{3}$ of the circumference of a circle. what is the r…
$\frac{2\pi}{3}$ radians
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types of arcs determine whether the arc is a minor arc, a major arc, or…
19. Minor arc 20. Minor arc 21. Major arc 22. Minor arc 23. Major arc 24. Semicircle 25. Major arc 26. Major arc
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what is the approximate solution to the system of equations shown in th…
B. $(-2, 2)$
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finding arc length try it in circle u below, vt = 90 inches. what is th…
26$\pi$ inches
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12.1 geometric sequences 31) geometric sequences have a common _______2…
1) ratio 2) $\frac{\text{any term}}{\text{previous term}}$ 4) Not a geometric sequence 5) Geometric sequence, common ratio $r=6$ 6) Geometric sequence, common ratio $r=-2$ 7) Not …
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go solve each inequality and graph the solution set on the number line.…
1. For $16 \leq 3x + 4$, the solution is $x \geq 4$. (Graph: closed circle at 4, shade right) 2. For $-37 < 7x - 2$, the solution is $x > -5$. (Graph: open circle at -5, shade rig…
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g the polygon interior angle sum theorem what is the sum of the measure…
1. $1080$ 2. $135$
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find the perimeter of each polygon. assume that lines which appear to b…
13) $\boldsymbol{41}$ 14) $\boldsymbol{56.8}$
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what is the measure of $angle b$ of the pentagon? $square^circ$ the pen…
$111^\circ$
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$\\overline{bd}$ and $\\overline{ac}$ are chords that intersect at poin…
4 units
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$\\overline{ax}$ and $\\overline{ex}$ are secant segments that intersec…
3 units
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line segment ba is tangent to the circle. what is the length of line se…
98 units
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point o is the center of the circle. what is the perimeter of quadrilat…
28 units
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line segment qp is tangent to the circle. what is the length of line se…
20 units
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$\\overline{rt}$ and $\\overline{gj}$ are chords that intersect at poin…
20 units
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$\\overline{su}$ and $\\overline{vt}$ are chords that intersect at poin…
13 units
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what is the length of line segment pq? ○ 4 units ○ 5 units ○ 6 units ○ …
5 units
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using the intersecting chords theorem custom drapes are being fitted fo…
10 feet
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using the two tangent theorem circle o is inscribed in the given triang…
44 units
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using the secant and segments theorem what is the value of x? ○ $x=2$ ○…
x=3
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segments theorem which equation results from applying the secant and ta…
D. $x(2x + 4) = (x + 2)^2$
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determining lengths of intersecting chord segments be is 2 units longer…
11 units
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geo - b - 9.4 -9.5 - trigonometric functions worksheet in exercises 3-8…
### Problem 3: $\sin D = \frac{4}{5} = 0.8000$, $\sin E = \frac{3}{5} = 0.6000$, $\cos D = \frac{3}{5} = 0.6000$, $\cos E = \frac{4}{5} = 0.8000$ ### Problem 4: $\sin D = \frac{35…
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practice analyzing segments created inside and outside circles. chords …
2.5 units
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question the sides of a triangle are 95, 34, and 70. use the pythagorea…
The triangle is obtuse, because the square of the largest side is greater than the sum of the squares of the other two sides.
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question the sides of a triangle are 26, 10, and 24. use the pythagorea…
The triangle is right because the square of the largest side equals the sum of the squares of the other two sides.
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10. given $\\triangle slz$ and $\\triangle bld$. are the triangles simi…
The triangles are not similar. The ratios of their corresponding sides are not equal, and their corresponding angle measures do not match (only one right angle is shared, but the …
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question show examples the sides of a triangle are 62, 87, and 73. use …
The triangle is **acute** because the square of the largest side is less than the sum of the squares of the other two sides.
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circle each letter in the title that should be capitalized.alexander an…
1. Correct capitalized title: Alexander and the Terrible, Horrible, No Good, Very Bad Day 2. nonliterally 3. In a way that shows irritation or restlessness while waiting; unable t…
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question which of the following sets of numbers could not represent the…
$\{5, 8, 10\}$
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a student attempts to draw a freehand circle. she marks 12 points on th…
| $x$ | 4.5 | 3.5 | 2 | 0 | -2 | -3.5 | -4.5 | -3.5 | -2 | 0 | 2 | 3.5 | |-----|-----|-----|---|---|----|------|------|------|----|---|---|-----| | $y$ | 0 | 2 | 3.5 | 4.5 | 3.5 |…
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animals (rely) ______ on rivers for food and water.write the meaning of…
1. Animals **rely** on rivers for food and water. 2. Not showing good judgment; foolish 3. Abstract noun (underlined): mood Concrete nouns (circled): Jane, vacation, Canada 4. Cir…
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which kind of triangle is shown? scalene triangle isosceles triangle eq…
scalene triangle
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a triangle is equilateral if ______ sides are the same length. all 3 on…
all 3
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how many obtuse angles are in an obtuse triangle? 0 2 1 3
1
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classifying polygons complete the statement. the polygon is ▼ and is ▼.
The polygon is an octagon and is regular.
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underline the abstract nouns, circle the concrete nouns. jane was in a …
- Underlined (abstract noun): mood - Circled (concrete nouns): Jane, vacation, Canada
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ms. nazer geo - b - 9.4 -9.5 - trigonometric functions worksheet in exe…
$\sin D = \frac{4}{5} = 0.8000$, $\cos D = \frac{3}{5} = 0.6000$ $\sin E = \frac{3}{5} = 0.6000$, $\cos E = \frac{4}{5} = 0.8000$ --- #### Problem 4 ## Step1: Identify sides for ∠…
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obtuse equilateral right scalene
Green triangle ↔ scalene Red triangle ↔ equilateral
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find two cards that match this triangle. acute isosceles obtuse scalene
acute, isosceles
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which of these shapes is an acute scalene triangle?
The bottom-left pink triangle (the small, wide acute triangle with all sides of unequal length)
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which of these shapes is a right isosceles triangle?
The light blue triangle (bottom-right shape) is a right isosceles triangle.
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finding angle sums a diagonal is drawn on a square. how many triangles …
1. 2 2. $180^\circ$ 3. $360^\circ$
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which names describe this triangle? choose yes or no for each name. acu…
- acute: No - right: No - obtuse: Yes - equilateral: No - isosceles: Yes - scalene: No
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write an equation and solve for $x$ if the area of the rectangle is 55 …
$x = 4$
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6. write an equation and solve for $x$ if the area of the rectangle is …
$x = 6$
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answer the questions about the polygons below. figure a figure b figure…
Which figure is a pentagon? Figure A Which figure is a hexagon? None Which figure is an octagon? Figure C
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what is the value of the dot marked on the number line below? if the an…
-1
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7. calculate the surface area and volume of the square based pyramids b…
a. Surface Area = 28160 square inches, Volume = 193600 cubic inches b. Surface Area = 3168 square meters, Volume = 9680 cubic meters
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find the correct answers below. * 30 points quadrilateral rtwv is shown…
What value of x will make RTWV a parallelogram? $\boldsymbol{21}$ What value of y will make RTWV a parallelogram? $\boldsymbol{20}$ What is the length of VT? $\boldsymbol{150}$
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solve for $x$ and graph the solution on the number line below. $18 < 10…
Inequality Notation: $x > 8$ For the number line: - Draw an open circle at 8 (since 8 is not included in the solution) - Draw an arrow pointing to the right from the open circle t…
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solve for $x$ and graph the solution on the number line below. $30 \\ge…
Inequality Notation: $x \geq -5$ For the number line graph: - Draw a closed (filled) circle at $-5$ (since the inequality includes equality, $x$ can equal $-5$) - Draw a line exte…
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question given $m\\parallel n$, find the value of x. answer attempt 1 o…
$x = 16$
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given $m\\parallel n$, find the value of x. answer attempt 1 out of 2 $…
$x = \frac{190}{9}$ or $x \approx 21.11$
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what is the length of the longer of the two chords shown? length of lon…
$2\sqrt{73}$ (or approximately 17.09) units
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3) 92° ? ? ? ? ? ? ? ? ? ? ? ? ? ? 65° ? ? ? ? 110° ? ? ? ?
1. First diagram (left intersection): $88^\circ$, $92^\circ$, $88^\circ$; (right intersection): $92^\circ$, $88^\circ$, $92^\circ$, $88^\circ$ 2. Second diagram (bottom intersecti…
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16. the net for a cube is shown below.2.5 cmwhat is the lateral surface…
d) 27.5 *Note: There is a discrepancy in the given options; the correct lateral surface area is $25$ $\text{cm}^2$. If we assume a typo and the side length is $2.5$ cm, the closes…
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if $m\\angle vst = (5x + 23)^\\circ$ and $m\\angle vut = (8x - 49)^\\ci…
$20^\circ$ Wait, no, mistake: $\angle SVT$ is not equal to $\angle UVT$, $\angle SVT$ is the angle we need, and $\angle UVT=20^\circ$, and $\angle SVT = \angle UVT$ only if $VT$ b…
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in the figure, line m is parallel to line n. if $m\\angle3=(7x - 10)^\\…
$m\angle 3 = 95^\circ$, $m\angle 6 = 85^\circ$
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9.) describe what the “solution to a system of equations” is. (le 10.)
9. A solution to a system of equations is a set of variable values that makes every equation in the system true at the same time; for a graphed 2-variable system, it is the inters…
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> enter the answer in the space provided. use numbers instead of words.…
$\frac{1}{3}$
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graph the inequality on a plane. (click to shade a region below or abov…
1. Keep the dashed boundary line $y=\frac{3}{2}x+2$ (it is already correctly formatted as dashed for the $<$ inequality). 2. Shade the entire region **below** this dashed line (th…
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ine the > enter the answer in the space provided. use numbers instead o…
2
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b. where do you draw the line? review the topics and types of people a …
Conversations that should remain confidential: - Military secrets - Spy operations in foreign countries - Treaties with foreign countries - Family doctor - Tax preparer/personal f…
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a straw is placed inside a rectangular box that is 5 inches by 2 inches…
$\sqrt{129}$ inches
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find the slope of the line that passes through (8, 9) and (2, 4). simpl…
$\frac{5}{6}$
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question a straw is placed inside a rectangular box that is 7 inches by…
$\sqrt{211}$ inches
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8.03 problems 1-2: here is the line segment gh. each grid square repres…
1. Approximate length of $GH$: $\approx 5.6$ units 2. Exact length of $GH$: $4\sqrt{2}$ units 3. $\sqrt{16} = 4$ 4. $\sqrt{35} \approx 5.9$ 5. $\sqrt{66} \approx 8.1$ 6. $\sqrt{7}…
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finding measures find the measure in parallelogram abcd. explain your r…
20. $DE = 10$ 21. $BA = 11$ 22. $BC = 12$ 23. $m\angle CDA = 120^\circ$ 24. $m\angle ABC = 120^\circ$ 25. $m\angle BCD = 60^\circ$
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volume 1. a rectangular prism is made of 64 linking cubes. what might t…
1. Possible base areas are $1\ \text{unit}^2$, $2\ \text{unit}^2$, $4\ \text{unit}^2$, $8\ \text{unit}^2$, $16\ \text{unit}^2$, $32\ \text{unit}^2$, $64\ \text{unit}^2$. These com…
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find s. write your answer in simplest radical form. centimeters
$4\sqrt{2}$ centimeters
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the pythagorean theorem do the following lengths form a right triangle?…
1) No, the lengths do not form a right triangle. 2) Yes, the lengths form a right triangle. 3) Yes, the lengths form a right triangle. 4) Yes, the lengths form a right triangle. 5…
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27. mp modeling real life the area of a square patch of fabric is 2.25 …
1.5 inches
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use pythagorean theorem to find perimeter what is the perimeter of the …
$16 + 4\sqrt{10}$ (or approximately 28.65) units
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15. find the degree measures $x$ and $y$ of the missing angles in the d…
$x = 110^\circ$, $y = 110^\circ$
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directions: use the distance and slope formula to determine whether $ov…
$\overline{AB}$ and $\overline{CD}$ are equivalent. --- ### For Problem 12:
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the measure of $angle 5$ is $110^\\circ$. find the remaining angle meas…
$m\angle6 = 70^\circ$ $m\angle7 = 70^\circ$ $m\angle8 = 110^\circ$
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9. area = $\frac{36}{49}$ yd$^2$ $s$
The side length $s$ of the square is $\frac{6}{7}$ yards.
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period: 4name: angel carventeb - 9.2 pythagorean theorem and special ca…
1. $x = 10\sqrt{2}$ 2. $x = 2$ 3. $x = 8$ 4. $x = 6\sqrt{2}$ 5. $x = 15\sqrt{3}$, $y = 30$ 6. $x = 11$, $y = 11\sqrt{3}$ 7. $x = 3\sqrt{3}$, $y = 6\sqrt{3}$
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the measure of $angle 1$ is $130^\\circ$. what is the measure of $angle…
$50^\circ$
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finding side lengths fin 7. area = 441 $cm^{2}$
$21$ cm
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triangle abc is shown on the coordinate grid. triangle abc is rotated $…
$A'(-3, 6)$ $B'(8, 5)$ $C'(3, -9)$ (using the only valid mapping from the rule; if restricted to given values, the coordinates use the provided numbers as: $A'(-3, 6)$, $B'(8, 5)$…
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$\\overline{qr}$ is a tangent to $\\odot$t. true false
False
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∠vzw and ∠vzy are ____________ angles. ∠vzy measures ____________ ° ∠vz…
∠VZW and ∠VZY are **supplementary/linear pair** angles. ∠VZY measures $\boldsymbol{160}$ ° ∠VZW and ∠YZX are **vertical** angles. ∠YZX measures $\boldsymbol{20}$ ° ∠WZX and ∠YZX a…
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what is cold and comes in cans? find the surface area of each figure. c…
The remaining letters spell: CHILLED BEANS
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fiona must find the length indicated by the dotted line for the tiles s…
3.75 in.
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a regular hexagon is shown. what is the measure of the radius, c, round…
14 in.
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the area of the regular hexagon is $10.4\\ \\text{in.}^2$. what is the …
1.7 in.
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a square has an apothem measuring 2.5 cm and a perimeter of 20 cm. what…
25 cm²
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economics 2025-26 unit 3 study guide b. short answer answer in 2-4 sent…
6. A binding apartment price ceiling is set below equilibrium rent, causing quantity demanded to outstrip supply and create a shortage, which leads to long waiting lists. With pri…
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3. use a number line to help order rational numbers. a. plot and label …
a. (Number line plot description: Mark $S$ at -3.5, $P$ at -2.5, $R$ at 1.25, $Q$ at 2.75 on the provided number line with ticks for integers -5 to 5.) b. $-3.5, -\frac{5}{2}, 1.2…