Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$, with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passin…
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12. apply when a stepladder is placed as shown, is it possible for the …
No, it is not possible. Using the Law of Cosines on the isosceles triangle with sides \(a = b=12\) ft and included angle \(58^\circ\), the distance between the lower ends is calcu…
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10. similar? how? ~ 12. similar? how? ~
Similar? No How? The ratios of corresponding sides are not equal (3/6 = 1/2, 4/8 = 1/2, but 5/9 ≠ 1/2), and one is a right triangle (3-4-5) while the other is not (6-8-9, not a ri…
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question to indirectly measure the distance across a lake, rashad makes…
171.23 meters
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to indirectly measure the distance across a lake, isaac makes use of a …
$194.48$ m
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diagram below, \\(\\overline{fg}\\) is parallel to \\(\\overline{cd}\\)…
\( 6.6 \)
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solve for ( x ). figures are not necessarily drawn to scale.
\( x = 12 \)
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a pair of similar figures is given below. (note: the figures are not dr…
$WX = 4$ m Perimeter of Figure 2 = 30 m
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for each pair of triangles, determine whether the hypotenuse-leg (hl) c…
(a) Yes (b) No (c) No (d) Yes
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for each pair of triangles, determine whether the hypotenuse-leg (hl) c…
(a) No (b) Yes (c) No (d) Yes
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use the given information to prove that $\\angle 8 \\cong \\angle 4$. g…
Transitive Property
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complete the proof by choosing the correct eason\. given: ( cf = eg ) (…
1. Segment Addition Property 2. Segment Addition Property 3. Given 4. Substitution Property 5. Given 6. Substitution Property 7. Addition and Subtraction Properties
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which is the slope of a line perpendicular to the line $y - 3 = \\frac{…
1. $-\frac{15}{2}$ 2. $1$ 3. $x=8$ and $x=-3$
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complete the proof by choosing the correct eason\. given: ( mangle cye …
| Statement | Reason | |-----------|--------| | 1 $m\angle CYE = m\angle 1 + m\angle 2$ | Angle Addition Property | | 2 $m\angle FXH = m\angle 3 + m\angle 4$ | Angle Addition Prop…
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complete the following equations. enter an equation for line r: y = -5 …
\(y = - 5x-2\) (assuming the y - intercept is - 2 from the graph's vertical translation)
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use the given information to prove that ( mangle 3 = mangle 4 ). given:…
For Step 1 (Statement: $m\angle QPS = m\angle TPV$): Given For Step 2 (Statement: $m\angle 1 = m\angle 2$): Given For Step 3 (Statement: $m\angle 3 = m\angle 4$): Addition and Sub…
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12 numeric 1 point find the slope of the line between the two points. a…
1. $-0.75$ 2. B. $f(x) = |x - 3|$ 3. $448$
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find the measures of angles 1, 2, 3, and 4 in the given quadrilateral (…
# Explanation: ## Step1: Identify shape properties The figure is a parallelogram, so opposite sides are parallel and congruent, and opposite angles are equal. Also, alternate inte…
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solve the following system of equations graphically on the set of axes …
The solution (intersection point) is $(2, -6)$ To plot: 1. For $y = -\frac{3}{2}x - 3$, plot $(0, -3)$ and $(2, -6)$, then draw the line through them. 2. For $y = x - 8$, plot $(0…
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estimation a ramp is being built to a building to help with deliveries.…
The exact measure of the other acute angle is \(50.4^\circ\).
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problem solving (lms graded) due jan 30 - 11:59 pm writing for the figu…
\(124\)
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in the triangle below, b = ______. if necessary, round your answer to t…
\( 60.23 \)
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answer the following questions. make sure to explain all your work and …
No triangle exists because when we use the Law of Sines to find $\sin B$, we get $\sin B = 1.532$, which is greater than 1, and the sine of an angle cannot be greater than 1.
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r is the midpoint of \\(\\overline{qs}\\) and t is the midpoint of \\(\…
\( 18 \)
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v is the midpoint of \\(\\overline{wz}\\) and x is the midpoint of \\(\…
\( 43 \)
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find the range of possible values for y. the range of possible values i…
$12.5 < y < 78.5$
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other than a no solution set, use interval notation to express the solu…
For the solution set choice: A. The solution set is $(3, \infty)$ For the graph choice: B. <the number line with open circle at 3 and arrow pointing right>
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2. ( jklm ) is a rhombus. theorem 6.3c 7. match the correct answers. gi…
- Is the parallelogram a square? Yes (assuming it's a rhombus with congruent diagonals). - Theorem for rectangle: 1. \( \parallelogram ABCD \) is a rectangle. Theorem (matches \( …
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Question was provided via image upload.
- For reason 5: rectangle - For reason 7: SAS (or HL) Congruence Theorem (more precisely SAS as per the sides and angle we have)
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given: ∠ghi is a rt ∠; ∠1 = ∠2; ∠3 = ∠4 is the parallelogram a square? …
Yes ### For "1. \( \parallelogram GHIJ \) is a rectangle. Theorem"
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what is the volume of a hemisphere with a radius of 34.1 in, rounded to…
$83056.7$ cubic inches
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1) match the correct answers. given: mnop is a kite. prove: ∠n ≅ ∠p sta…
- Reason 2: e. kite - Reason 3: d. Reflexive Property of $\cong$ - Statement 4: g. $\triangle MNO \cong \triangle MPO$; Reason 4: a. SSS - Reason 5: b. CPCTC
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the volume of a right cone is $252\\pi$ units$^3$. if its height is 21 …
$12\pi$ units
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Question was provided via image upload.
1. \(\overline{AB} \cong \overline{CD}\) (Def. of \(\boldsymbol{e}\) (isosceles trapezoid)) 2. \(\overline{AD} \cong \overline{AD}\) (\(\boldsymbol{h}\) (Reflexive Property of \(\…
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given trapezoid (abcd) with midsegment (ef), (ef parallel ad), (ef para…
- \(AD = 8\) - \(BC = 4\) - \(EF = 6\) - \(\frac{1}{2}(AD + BC)=6\) - Yes, \(EF=\frac{1}{2}(AD + BC)\)
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what is the area of the shaded region? 9 mi 8 mi square miles submit
36 square miles
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in parallelogram jklm if m∠klm = 35° find m∠mjk.
$\boldsymbol{35^\circ}$
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in parallelogram pqrs if m∠qrs = 45° find m∠spq.
$45^\circ$
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in parallelogram abcd if m∠cda = 110° find m∠abc.
$110^\circ$
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find the area of the triangle. the height is 9 mi, the base is 8 mi. th…
36 square miles
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14) match the correct answers. given: ∠abc is a rt. ∠; \\(overline{ac} …
- Must the parallelogram be a square? No - 1. Theorem: A parallelogram with one right angle is a rectangle. - 2. Theorem: The diagonals of a rectangle are congruent. ### Question …
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find the surface area of the rectangular prism. 8 mi 5 mi 6 mi
236 square miles
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rhombus mnop complete this informal proof. you are given that mnop is a…
- \( \overline{MN} \cong \overline{MP};\overline{NO} \cong \overline{PO} \) (Def. of rhombus) - \( \overline{MO} \cong \overline{MO} \) (Reflexive Prop. of \( \cong \)) - \( \tria…
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prove: abcd is a parallelogram. abcd is a rhombus. statements 1. abcd i…
s: - Reason 3: c. Reflexive - Reason 4: d. SSS - Step 6: e. $\overline{AB}\parallel\overline{CD}$
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prove: wxyz is a rhombus. statements\treasons 1. wxyz is a parallelogra…
### Step-by-Step Explanation for Each Blank: #### Blank 4: - **Step 1: Analyze the statement and reason** Statement 3 says \( \angle WPX \) and \( \angle XPY \) are \( 90^\circ \)…
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express the interval in set-builder notation and graph the interval on …
A. The solution set in set-builder notation is $\{x \mid x < 8\}$ ### Number Line Graph Description: Draw a horizontal number line. Place an open circle at 8 (to indicate 8 is not…
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express the interval in set - builder notation and graph the interval o…
A. The solution set in set-builder notation is $\{x \mid 4 \leq x \leq 8\}$ (For the number line graph: Draw a closed circle at 4 and a closed circle at 8, then shade the segment …
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9 mi, 8 mi, square miles
36 square miles
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6. the rectangle with the smallest perimeter the rectangles a and b on …
The rectangle with the smallest perimeter is a square with dimensions $\boldsymbol{6\ \text{cm} \times 6\ \text{cm}}$.
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11 cm, 10 cm, 5 cm, square centimeters
80 square centimeters
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multiple choice 1 point the sides of a rectangle have a length of 6x - …
$42x^2 + 26x - 36$ (Option A)
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write the coordinates of the vertices after a translation 5 units right…
$D'(-3, 5)$ $E'(-3, 6)$ $F'(-2, 6)$ $G'(-2, 5)$
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problem #2: solve triangle abc if a = 65°, b = 65°, and c = 6. if no tr…
Angle \(C = 50^\circ\), side \(a\approx7.1\), side \(b\approx7.1\), side \(c = 6\).
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write the coordinates of the vertices after a translation 6 units left …
$R'(-7, -4)$ $S'(-2, 2)$ $T'(-3, 2)$
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marisol has 486 square inches of wrapping paper to cover a gift box. wh…
9 inches
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question 19 of 20 how many solutions does a triangle with values a = 22…
0
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question 19 of 20 how many solutions does a triangle with values a = 22…
0
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question 18 of 20 which of the following problem types can always be so…
A. SAS B. ASA E. SAA F. SSS
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use the law of cosines to find the value of $cos\theta$. round your ans…
B. 0.35
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in the triangle below, b = ______. if necessary, round your answer to t…
44.73
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for each point on the unit circle, select the angle that corresponds to…
- Point A: $\frac{\pi}{4}$ - Point B: $\frac{5\pi}{6}$ - Point C: $\frac{7\pi}{4}$
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which graph represents the solution to this sy y ≤ -2x y > 3x - 4 a.
A. The graph with a solid line through $(0,0)$ and $(-1,2)$ shaded below, and a dashed line through $(0,-4)$ and $(1,-1)$ shaded above.
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suppose a triangle has sides a, b, and c, and that $a^2 + b^2 < c^2$. l…
B. $\cos\theta < 0$, C. The triangle is not a right triangle., D. $a^2 + b^2 - c^2 = 2ab\cos\theta$
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calculate the side lengths a and b to two decimal places. a. $a = 5.45$…
E. a = 12.94 and b = 11.08
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graphing inequalities use the two points and solid/dashed, above/below …
- Line type: Solid - Region: Above - Points: One point at \( (0, - 1) \) (y - intercept) and another point (e.g., \( (4,-6) \) or \( (-4,4) \)) plotted according to the slope, wit…
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in the following triangle, $\\theta = 60\\degree$. find the values of t…
A. $B = 70.27^\circ$ or $B' = 109.72^\circ$
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determine the following values. isosceles trapezoid rvdx is shown with …
$x=5$ $BM=14$ $XD=17$ $RV=11$ Perimeter of RVDX = 40
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write the coordinates of the vertices after a translation 3 units left.…
$K'(-10, 2)$ $L'(-10, 10)$ $M'(-9, 2)$
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suppose a triangle has sides a, b, and c, and that $a^2 + b^2 > c^2$. l…
A. The triangle is not a right triangle. B. $\cos\theta > 0$ C. $\theta$ is an acute angle.
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determine the following values. * trapezoid bhln is shown where \\( \\o…
$x = 6$ $DP = 30$ $BH = 42$ $NL = 18$
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write the coordinates of the vertices after a translation 8 units down.…
$B'(-7, -3)$ $C'(3, -3)$ $D'(3, -1)$ $E'(-7, -1)$
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determine the following values * xztp is a trapezoid where xp || zt. sl…
$x = 9$ $XP = 6$ $ZT = 14$
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write an equation to show the relationship between ( sl ) and the bases…
$\boldsymbol{(XP + ZT)/2}$ (corresponding to the last option: $\boldsymbol{(XP + ZT)/2}$)
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12 list the side lengths from shortest to longest.
\(m < n < o\)
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11 a. $\\angle 4$ and $\\angle 6$ are what type of angles?
Alternate Interior Angles
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10 a. $angle 3$ and $angle 8$ are what type of angles?
Alternate Interior Angles
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9 a. $\\angle 1$ and $\\angle 5$ are what type of angles?
Corresponding Angles (also, if considering parallel lines, they could be equal, but the type is corresponding angles)
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8 a. $\\angle 2$ and $\\angle 3$ are what type of angles?
Vertical angles
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correctly select the statement that best represents the figures on the …
#6. False; The pre-image is in quadrant II. #7. True #8. False #9. True #10. True
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correctly select the statement that best represents the figures on the …
#6. ❌ #7. ✅ #8. ✅ #9. ❌ #10. ✅
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reflections on the coordinate plane pre - image image q(-9, -8) q(9, -8…
$T'(4, -8)$
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#4. which best represent the transformation algebraically? pre - image:…
The transformation rule is $\boldsymbol{(-x,y)}$, and the missing image point is $\boldsymbol{T'(4,-8)}$ Correct option: $\boldsymbol{(-x,y)}$
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reflections on the coordinate plane #3. the table represents the locati…
The coordinates of $T'$ are $(4, -8)$. The transformation is a reflection over the y-axis (the vertical line $x=0$), where each point's x-coordinate is negated and the y-coordinat…
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reflections on the coordinate plane #2. write an algebraic representati…
The algebraic representation for the reflection is $\boldsymbol{(x, y) \to (-x, y)}$, which reflects the figure over the $y$-axis. The reflected vertices are $I'(6, -7)$, $J'(1, -…
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10. d: r: function?
- \( D: (-\infty, \infty) \) (all real numbers) - \( R: \) The set of y - values of the two horizontal lines (e.g., if the lines are at \( y = k_1 \) and \( y = k_2 \), then \( R=…
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4. in the figure on the right, the lines $ell_1$ and $ell_2$ are parall…
4. D) Angle D 5. D) Two squares are similar. 6. C) The correlation in group B is positive.
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in the diagram: - \\(\\overline{eh}\\) forms the altitude for \\(\\tria…
Approximately $34.55$ mi (the value can be more precise depending on the square - root calculation method, for example, using a calculator for a more accurate $\sqrt{1193.93}$). I…
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1. the two lines ( l_1 ) and ( l_2 ) are drawn in the following cartesi…
C) $y=\frac{2}{3}x + 3$ --- ### 문제 2
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calculate the perimeter of the following object to the nearest tenth.
\( 63.8 \)
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using the paths shown, how far is it from campbell to lancaster? campbe…
The distance from Campbell to Lancaster is 4.7 kilometers.
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find the area of the carpet tile. then find the area covered by 120 car…
The area of the carpet tile is \( \boldsymbol{256} \) square inches. The area covered by 120 carpet tiles is \( \boldsymbol{30720} \) square inches.
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a) what is the exact perimeter of the figure? b) what is the approximat…
The exact perimeter of the figure is \( 30 + 4\pi \) inches. ### Part b)
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the congruent sides of an isosceles triangle are each 1 unit longer tha…
10
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consider the figure below. a) what is the exact perimeter of the figure…
\(88\pi\) inches ### Part b)
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what is the perimeter of the figure below? you may round your answer to…
43.32 ft
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what is the perimeter of the figure below? you may round your answer to…
\( 147.30 \) ft (or more accurately, if we calculate \( \frac{91\pi}{3}+52\approx95.295 + 52=147.295\approx147.30 \) ft)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{1}{4}\)
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write an equation for the area, a, of the parallelogram shown. a = \\sq…
$A = 3 \cdot \frac{2}{3}$
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what is the area of the parallelogram? □ mm²
35
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what is the perimeter of the figure below? the curves are circular. 30 …
\( 122.83 \) meters (rounded to two decimal places)