Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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solve. use the diagram shown to solve problems 3–5. 3 in the diagram, l…
s: - \(m\angle 2 = \boldsymbol{115^\circ}\) (supplementary angles) - \(m\angle 5 = \boldsymbol{65^\circ}\) (alternate interior angles) - \(m\angle 13 = \boldsymbol{100^\circ}\) (c…
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solve the inequality and graph the solution. \\(\frac{x}{2} - 1 > 1\\) …
The solution to the inequality is $x > 4$. For the graph: Place an open circle at 4 on the number line, and draw a ray extending to the right from this open circle.
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what is the value of ( mangle dae ) and ( mangle dac )? ( circ ) ( mang…
$m\angle DAE = 45^\circ$ and $m\angle DAC = 135^\circ$ (the first option)
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figure c 8.8, x, 14.72 x = figure d x, 4, 10.25 x =
For Figure C: $5.92 < x < 23.52$ For Figure D: $6.25 < x < 14.25$ *Note: If the triangles are right triangles (no right angle indicated), but if we assume the longest side is the …
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solve. use the diagram shown to solve problems 3–5. 3 in the diagram, l…
### Problem 3 #### Step 1: Find \( m\angle 2 \) \(\angle 2\) and \(\angle 3\) are supplementary (linear pair), so \( m\angle 2 + m\angle 3 = 180^\circ \). Given \( m\angle 3 = 65^…
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what is the relationship between $\\angle poq$ and $\\angle tos$? \\big…
Vertical angles
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10. who was euclid, and why is he important?
Euclid was an ancient Greek mathematician. He is important for writing "Euclid's Elements", a work that systematized geometry with axiomatic - deductive methods, laying foundation…
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finding a missing side using the pythagorean theorem find the missing s…
Figure A: $x = 3.6$ Figure B: $x \approx 13.60$
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solve the inequality and graph the solution. 10 + 9c > 1 to draw a ray,…
The solution to the inequality is $c > -1$. For the graph: plot an open circle at $-1$ on the number line, then draw a ray extending to the right from this point.
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find the length of the leg x of the right triangle shown below. x = \\b…
12.450 cm
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solve the inequality and graph the solution. 3z - 8 > 10 to draw a ray,…
The solution to the inequality is $z > 6$. For the graph: place an open circle at 6 on the number line, and draw a ray extending to the right from this open circle.
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on your own: pairs of angles enter your answer in the box. (8x - 7)° (1…
$45$
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enter your answer in the box. check answer
$110$
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enter your answer in the box. check answer
110
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on your own: pairs of angles enter your answer in the box. check answer…
$130$
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find an equation of the vertical line through (0, -4). the equation is …
$x = 0$
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example in the diagram, lines w, x, and y are parallel. use the terms c…
corresponding angles: $\boldsymbol{\angle 3}$ and $\boldsymbol{\angle 7}$ (or other valid pairs like $\angle 5$ and $\angle 9$, $\angle 2$ and $\angle 10$ etc.) alternate interior…
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look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarr…
\( 70^{\circ} \)
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guided practice see example 1 ( \triangle xyz sim \triangle pqr ) in ea…
1. $a = 15$ cm, $y = 18$ cm 2. $y = 56$ m, unknown side $= 40$ m 3. 28 ft 4. 24.94 ft (rounded) 5. $x = 18$ in 6. $b = 7.2$ ft 7. 3.9 ft 8. ~9 ft 9 in (or 116.67 in)
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5 solve the system of linear equations by graphing. (3 pts) $x + 3y = 6…
The solution to the system of linear equations is \(x = 3,y = 1\) or the ordered pair \((3,1)\)
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1. p and q are points on ab and bc respectively of δ abc. pq || ac. ac …
\( 13.5 \) cm ### Problem 2
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place the six square roots by dragging their dots.
Place the dots representing the square roots at their respective approximate positions on the number line (e.g., \(\sqrt{1}\) at \(1\), \(\sqrt{4}\) at \(2\), etc.). The exact pla…
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which two triangles are congruent? complete the congruence statement. △…
$\triangle QRP \cong \triangle IGH$ (Note: If the correct triangles are $\triangle QRP$ and $\triangle IGH$, but maybe I mislabeled. Wait, another way: $\triangle QRP$ and $\trian…
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vertical angles have the same measure. $m\\angle3 = m\\angle1$ what is …
$m\angle 2 + m\angle 3 = 180^\circ$ Equation to find $m\angle 2$: $m\angle 2 + 62^\circ = 180^\circ$
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determine the perimeter and area of the shape shown below. (both rounde…
Perimeter: $6\pi + 12$ (or approximately 30.85 inches) Area: $9\pi + 36$ (or approximately 64.27 square inches)
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solve. 4 in the diagram, \\(\\overrightarrow{ea} \\perp \\overrightarro…
\(x = 25\) ### Problem 5
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2. a rectangular backyard is x feet long and y feet wide. the new desig…
\( 2.7x + 2.4y + 64 \)
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determine whether the triangle with the given side length is a right tr…
s: - Problem 17: Yes (it is a right triangle) - Problem 18: Yes (it is a right triangle) - Problem 19: No (it is not a right triangle) - Problem 20: No (it is not a right triangle)
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date 02/2/26 period 3 draw a graph for each inequality. 1) ( x < -3 ) 2…
1. Open circle at $-3$, shade all values left of $-3$ 2. Closed circle at $2$, shade all values right of $2$ 3. Open circle at $2$, shade all values right of $2$ 4. Closed circle …
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1. a rectangular pool is x feet long and y feet wide. the new design of…
The perimeter of the redesigned pool (including pathway) is \( 2.3x + 2.22y+32 \) feet.
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the base of a solid oblique pyramid is an equilateral triangle with a b…
$9\sqrt{3}$ in. (Option B)
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the base of a solid oblique pyramid is an equilateral triangle with a b…
14 units
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which lengths can be used, directly or indirectly, to calculate the vol…
- XY and ST - VU and TW - TX and WX
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18. evaluate: (+2)(-3) - (-4)(-5) - (+6) 20. find the perimeter and are…
\(-32\) ### Question 20
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a solid oblique pyramid has an equilateral triangle as a base with an e…
$16\sqrt{3}$ cm³ (Option B)
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a solid right pyramid has a square base. the base edge length is 2 cm l…
128 cm³
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the oblique pyramid has a square base with an edge length of 5 cm. the …
$\boldsymbol{58\frac{1}{3}\ \text{cm}^3}$ (Option C)
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19. find the perimeter and area of this parallelogram. dimensions are i…
Perimeter: \( 68 \) millimeters, Area: \( 272 \) square millimeters
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calculating the volume of an oblique pyramid the area of the base of th…
The height, AB, is 6 cm. The volume of the pyramid is 100 cm³.
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writing the volume as an algebraic expression a right pyramid with a sq…
$\frac{x^2(x+2)}{3}$ cubic inches
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3. the slope of the line determined by a (2, -3) and b (-1, 3) is a) -2…
a) -2
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determining when the volumes of pyramids are the same if two pyramids h…
The areas of the bases must be the same.
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what angle is more than 180 degrees and less than 360 degrees? right ob…
E. Reflex ### Second Question:
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2. 10 ft 6 ft 7 ft 12 ft perimeter: area:
Perimeter: \(29\) ft Area: \(36\) square feet
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1. 12 cm 20 cm 16 cm perimeter: area:
Perimeter: \(48\) cm Area: \(96\) cm²
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six identical square pyramids can fill the same volume as a cube with t…
The height of each pyramid is $\frac{1}{2} h$ units.
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practice calculating the volume of right and oblique pyramids. six iden…
The height of each pyramid is $\frac{1}{2}h$ units.
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1. the rectangular floor has a length of 14 meters and a width of 11 me…
The perimeter of the room is 50 meters. ### Question 2
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using the graph, determine the equation of the axis of symmetry.
The equation of the axis of symmetry is \(x = - 7\)
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10) △nop ≅△ __ by ____ △nop ≅△...
\( \triangle NOP\cong\triangle \boldsymbol{NPQ} \) by \(\boldsymbol{HL}\) (or \( \triangle NOP\cong\triangle \boldsymbol{NQP} \) by \(\boldsymbol{SAS}\))
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2. the perimeter of this pentagon is 52 cm. what is the missing length?…
B. 8 cm ### Question 3
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7) $\\triangle abd \\cong \\triangle \\underline{cdb}$ by ______ 8) $\\…
\( \triangle ABD\cong\triangle \boldsymbol{CDB} \) by \(\boldsymbol{SSS}\) (or if angle - side - angle, but SSS is more likely here) ### Problem 8
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4) $\triangle noq cong \triangle$ ___ by ____ 5) $\triangle utr cong \t…
\( \triangle NOQ \cong \triangle \boldsymbol{PQO} \) by \(\boldsymbol{SSS}\) ### Problem 5
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3. a picture frame is 5 cm long and 4 cm wide. how many square centimet…
20 square centimeters ### Question 4
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3. a picture frame is 5 cm long and 4 cm wide. how many square centimet…
The area of the picture frame is \( 20 \) square centimeters.
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unit 2 quiz 2 review canvas assignment name date 1) $\\triangle abd \\c…
$\triangle ABD\cong\triangle \boldsymbol{CBD}$ by $\boldsymbol{SSS}$ ### Problem 2:
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this quadrilateral is a kite. ∠b and ∠d are vertex angles. find ( mangl…
$m\angle 4 = 90^\circ$
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this quadrilateral is a kite. ∠q and ∠s are vertex angles. find ( mangl…
$53^\circ$
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4) given: $overleftrightarrow{mn} parallel overleftrightarrow{op}$ $ove…
Reason #1: E (Given) Statement #2: C (\(\angle MNO \cong \angle PON\)) Statement #3: A (segment \(NO \cong\) segment \(NO\)) Reason #4: G (SAS) Reason #5: J (CPCTC)
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which sentences feature a first - person point of view? select three an…
- My friend likes cars with a lot of horsepower, but I prefer good gas mileage. - I spent last night studying for the geometry test we're taking in fifth period. - Although his or…
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think about the process what is true about a figure and an image create…
B. <The graph showing the original parallelogram GRAM on the left side of the coordinate plane and its image G'R'A'M' shifted 10 units right and 1 unit up>
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Question was provided via image upload.
Reason #1: E (Given) Reason #2: I (Alternate Interior Angles) Statement #3: C (H is the midpoint of segment GI) Statement #4: B (segment \(GH \cong\) segment \(HI\)) Reason #5: J …
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2) given: $overline{zw} cong overline{wx}$ $overline{wy} perp overline{…
Statement #1: A. segment \( ZW \cong \) segment \( WX \), segment \( WY \perp \) segment \( ZX \) Statement #2: C. segment \( WY \cong \) segment \( WY \) Reason #3: I. HL Reason …
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in δopq, o = 290 inches, p = 720 inches and q=600 inches. find the meas…
\(102.3^{\circ}\)
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statement reason 1 $\\angle a \\cong \\angle c$ given 2 $\\angle dea \\…
C. Zoe established all necessary conditions, but then used an inappropriate congruence criterion.
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proofs 1) given: $overline{ac}$ bisects $angle dab$ $overline{ac}$ bise…
Reason #1: E Statement #2: C Statement #3: A Statement #4: D Reason #5: I Reason #6: H
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directions - solve the system by graphing. \\begin{cases} line 1: \\, y…
The solution to the system is \((3, -2)\) (the point where the two lines intersect when graphed).
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the point (2, 5) is represented on the graph. which point also belongs …
(32, 80)
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given: $overline{hj} parallel overline{lk}$, $overline{hl} parallel ove…
Filled table: | Statements | Reasons | | --- | --- | | 1. \( \overline{HJ} \parallel \overline{LK}, \overline{HL} \parallel \overline{JK} \) | 1. Given | | 2. \( \boldsymbol{\angl…
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the base edge of an oblique square pyramid is represented as x cm. if t…
$3x^2$ cm³ (Option A)
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select all of the equations that can be used to determine the value of …
- $\boldsymbol{\tan(x)=\frac{9}{w}}$ - $\boldsymbol{9^2 + w^2 = (\sqrt{65})^2}$ - $\boldsymbol{\tan(90-x)=\frac{9}{w}}$
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the rectangle shown is rotated about line k. what is the approximate ba…
79 sq. in.
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score on last try: 0 of 1 pt. see details for more. get a similar quest…
37 in
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identify the triangle that contains an acute angle for which the sine a…
The triangle with vertices \(A\), \(B\), \(C\) (the second triangle) where \(\angle A = 45^{\circ}\), \(\angle B=45^{\circ}\), \(\angle C = 90^{\circ}\) (the isosceles right - tri…
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write the coordinates of the vertices after a reflection over the line …
$R'(-5, -1)$ $S'(-5, 1)$ $T'(-7, 1)$
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use the pythagorean theorem and the square root property to solve the f…
In simplified radical form, the pedestrian route is $9\sqrt{5}$ miles long. The decimal approximation to the nearest tenth is 20.1 miles.
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the equation of a circle is given below. identify the radius and the ce…
Radius: \(3\) Center: \((2,1)\)
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explain why the triangles are similar. then find the distance represent…
D. There is a pair of congruent angles and a pair of congruent right angles, so the triangles are similar by the AA - Postulate. $x = 15.75$ feet
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8. solve $x + 10 \\geq 14$. then graph the solution.
The solution is $x \geq 4$. For the graph: - Closed circle at 4 on the number line, with shading extending to the right.
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select the correct answer from each drop - down menu. complete the sent…
First blank: distance Second blank: absolute value of the difference
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select the correct answer from each drop - down menu. given: $\\angle x…
First drop - down: linear pair theorem Second drop - down: substitution property of equality
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select the correct answer from each drop - down menu. given (overline{u…
The first error is in Step 3 (the reason "addition property of equality" does not justify the statement, as it misapplies the addition property; the correct reasoning should invol…
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a building manager needs to order 9 replacement panes that are all the …
The angle measures for each pane are 42,42,96. The side lengths of each pane are 13.5, 13.5, 20 ft. The angles are the same by the definition of similar triangles. The sides are $…
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the figures below are similar. the labeled sides are corresponding. wha…
\( 1:2 \)
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the figures below are similar. the labeled sides are corresponding. 8.1…
\( 30.6 \)
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select the correct answer from each drop - down menu. given: $overline{…
AC does not equal XZ
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point q was rotated by $-150^circ$ (the center of rotation is indicated…
B. B
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graph 0.5 on the number line. -1 0 1 submit
To graph 0.5 on the number line, locate the midpoint between 0 and 1 (since 0.5 is halfway between 0 and 1) and place a mark (dot) at that position. On the given number line, this…
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what is the area of the parallelogram? 9 in. 9 in. 6 in. square inches …
54 square inches
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the equations of three lines are given below. line 1: $6x - 4y = 2$ lin…
- Line 1 and Line 2: Neither - Line 1 and Line 3: Neither - Line 2 and Line 3: Parallel
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the figures below are similar. the labeled sides are corresponding. 4.6…
\( 27.6 \)
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the figures below are similar. the labeled sides are corresponding. 9 f…
10
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find the missing angle measure. the measure of the missing angle is \\(…
95
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a. a wheelchair ramp with a length of 100 inches has a horizontal dista…
a. 28 inches b. No, this ramp does not satisfy the requirements, as the required horizontal run for a 28-inch vertical rise is 336 inches, which is much longer than the actual 96-…
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use the pythagorean theorem and the square root property to solve the f…
In simplified radical form, the pedestrian route is $4\sqrt{5}$ miles long. The decimal approximation to the nearest tenth is 8.9 miles.
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6. gabby is designing a quadrilateral on the coordinate plane. she know…
a) (1,3)
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for the points p and q, find the distance ( d(p,q) ). ( p(3, -2) ), ( q…
D. 5
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name: homework lesson 5.11 directions: now graph and label quadrilatera…
1. The graph has vertices $S(1, 0)$, $M(6, 7)$, $R(8, 1)$, $T(3, -6)$ connected in sequence to form quadrilateral $SMRT$. 2. Quadrilateral $SMRT$ is a parallelogram because both p…
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current skill write the domain as an inequality write the range as an i…
# Explanation: ## Step1: Determine the domain The domain of a graph is the set of all x - values for which the graph exists. Looking at the graph, the left - most point (the start…
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question 10 4.3 hw #2 mh $3y - 6 = 2x$ a) graph of a line b) graph of a…
A) [The graph with a positively sloped line passing through (-3, 0) and (0, 2)]