幾何
三角形、円、座標幾何、証明問題。
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select all the true statements. a. p⊥q b. q⊥n c. m||n d. p⊥m e. m||q f.…
C. $m\parallel n$
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for items 1-2, use the figure shown. select all the true statements. a.…
A. The slope of $m$ is $-\frac{2}{5}$. B. The slope of $q$ is $-\frac{5}{2}$.
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what must be true to prove that q ⊥ n? a. the product of the slopes of …
B. The product of the slopes of $q$ and $n$ is - 1.
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select all the true statements. a. p||q b. q⊥n c. m||n d. p⊥m
D. $p\perp m$
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the length of a rectangle is 6 m longer than its width. if the perimete…
$91$
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find ∠bac and ∠acb in the figure shown alongside. 60° + 50°+90°≠180° so…
\(\angle BAC = 70^{\circ}\), \(\angle ACB = 50^{\circ}\)
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check your understanding 15. explain how to find the distance between t…
The distance between two points on a number line with coordinates \(a\) and \(b\) is \(|a - b|\). ### 16.
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check your understanding 13. use the number line to solve each problem.…
a. 24 b. 3 c. -1 d. 11
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in the diagram below, $overline{ad}paralleloverline{eg}$, $angle bfc = …
\(37^{\circ}\)
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question in the diagram below, ad || eg. angle bfc = 75°. angle gfc = 3…
The measure of $\angle BFG$ is $37^{\circ}$ and the reason is Angle subtraction postulate.
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friday = use the image below to answer questions 8-9. 8. which angle is…
8. ∠7 9. ∠8 10. x = 13
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find the length of side x to the nearest tenth.
$4.2$
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the triangle below is equilateral. find the length of side x to the nea…
$4.6$
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step angle reason 1 m∠bfc = 75° given 2 m∠gfc = 38° given 3 m∠fbc = 67°…
\(67\)
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in the diagram below, $overline{ad}paralleloverline{eg}$, $mangle bfc =…
\(m\angle FBC = 67^{\circ}\)
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step angle reason 1 m∠c = 55° given 2 m∠b = 44° given try m∠cab = 81° s…
The reason is Sum of angles in a triangle.
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in the diagram below, $overline{ad}perpoverline{dc}$, $mangle c = 55^{c…
$81^{\circ}$
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directions: using a ruler, measure each line to the closest 1/16 of an …
Since no actual measurements are provided in the text, we cannot give specific answers for lines A - J. You need to measure each line with a ruler and express the lengths as whole…
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part i directions: determine the measurement of each line from start to…
C. \(1\frac{3}{16}\) inches D. \(3\frac{3}{4}\) inches E. \(2\frac{3}{4}\) inches F. 4 inches
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2. a. the lines a and b are parallel. identify a pair of corresponding …
110°
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directions: determine the measurement of each line from start to end po…
# Explanation: ## Step1: Identify start - end points For each line, find the start and end positions on the ruler marked in 1/16 - inch increments. ## Step2: Calculate length Subt…
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directions: determine the measurement of each line from start to end po…
Without clear start - end points for each line segment in the image, we cannot provide specific numerical answers. However, the lengths should be calculated as described above and…
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verbs 9. circle the verb in each sentence. discuss if the verb shows an…
1. Verb: run, Action 2. Verb: was, State of being 3. Verb: drifted, Action 4. Verb: feels, State of being 5. Verb: thinks, Action
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pentagon abcde is the image of pentagon abcde under a dilation. what is…
$\frac{1}{3}$
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part i directions: determine the measurement of each line from start to…
First line: $2\frac{5}{8}$ inches; Second line: $3\frac{1}{4}$ inches
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i was able to map line segment $overline{ab}$ onto line segment $overli…
C. There is no error. This is a correct conclusion.
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practice (continued) nouns and verbs c. read the words in the bank, and…
1. Arjun thinks. 2. Ducks waddle. 3. Bacon sizzles. 4. Ice melts. 5. Students arrive.
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determine whether each claim about the properties of △abc and △abc is t…
1. False 2. False
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directions: determine the measurement from zero to the marked point on …
A. $\frac{5}{8}$ inches B. $\frac{7}{8}$ inches C. $1\frac{3}{16}$ inches D. $\frac{13}{16}$ inches E. $1\frac{5}{16}$ inches F. $1\frac{7}{8}$ inches
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#3 (64%) aaron and beth live on highway 61 and the intersection for int…
For the first problem: D. $(1,-2)$ For the second problem: $(1,4)$
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15 consider the congruent trapezoids. a describe the transformation tha…
a. Reflection across the x - axis. b. $\text{ABCD}\cong\text{QRST}$
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classify the decimal form of each number as terminating, repeating, or …
Repeating: $\frac{5}{7}$ Terminating: $\sqrt{121},\frac{1}{2}$, Perimeter of a square with area 16, $\frac{2}{5}$ Neither: Circumference of a circle with radius 5, $\pi,\sqrt{7}$
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if dgfe ≅ tuvw, what are the corresponding parts? select all that apply…
1. $\overline{DG}\cong\overline{UV}$ 2. $\angle F\cong\angle W$ 3. $\overline{GD}\cong\overline{UT}$
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is △nop congruent to △qrs? justify your answer using rigid motions. yes…
Yes. A rotation can map \(\triangle NOP\) onto \(\triangle QRS\).
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mrs. brooks geometry unit 2 vocabulary for each term below, add a defin…
| TERM | DEFINITION | PICTURE | |--|--|--| | Conditional statement | An “if - then” statement | Two boxes, one labeled “if - part” connected by arrow to box labeled “then - part” …
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if △dcb ≅ △mnl, what are the corresponding parts? select all that apply…
1. $\overline{DB}\cong\overline{ML}$ 2. $\angle B\cong\angle L$ 3. $\angle D\cong\angle M$ 4. $\angle C\cong\angle N$
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if edcf ≅ tuvs, what are the corresponding parts? select all that apply…
\(\angle C\cong\angle V\), \(\overline{DE}\cong\overline{UT}\), \(\angle F\cong\angle S\), \(\overline{CD}\cong\overline{VU}\)
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what are the values of x and y? r s 71° x y t x = ° y = ° submit
\(x = 54.5\) \(y = 54.5\)
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what is the length of segment $overline{cd}$? units
4
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describe any reflections that map the figure onto itself.
There is a reflection across the vertical line (the red - colored line in the figure) that maps the figure onto itself.
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what is the value of b? b = □°
$39$
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what is the value of b? b = °
$70.5$
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determine whether the figure has line symmetry. if so, draw the line(s)…
The figure has line symmetry. The line of symmetry is a vertical line passing through the middle of the figure.
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solve the right triangle using the given information. a = 76.5 yd, b = …
c = 87.2 yd A = 61°18' B = 28°42'
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the circumferences of three circular fountains are shown. the circles a…
Greatest: Circle M Middle: Circle T Least: Circle H
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what is the value of z? z = □°
52
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what is the value of c? c = ° submit work it out not feeling ready yet?…
$57.5$
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what is the value of y? y = °
73
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what is the value of s? s = °
\(60\)
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b. a circle with equation x² + y² - 6x + 16y + 57 = 0
The standard - form equation of the circle is $(x - 3)^{2}+(y + 8)^{2}=16$, with center $(3,-8)$ and radius $r = 4$.
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equations - draw right triangles to calculate the slope and write a pro…
**Problem 1**: slope = $\frac{5 - 0}{2 - 0}=\frac{5}{2}$; $y=\frac{5}{2}x$ **Problem 2**: slope = $\frac{2 - 0}{4 - 0}=\frac{1}{2}$; $y=\frac{1}{2}x$ **Problem 3**: slope = $\frac…
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graph the following equation in a rectangular coordinate system. x = 5 …
A vertical line passing through the point $(5,0)$ on the x - axis, where for all real - valued $y$, $x = 5$.
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is △efg congruent to △xyz? justify your answer using rigid motions. yes…
Yes. A translation and a rotation can map \(\triangle EFG\) onto \(\triangle XYZ\).
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is △efg congruent to △xyz? justify your answer using rigid motions. yes…
Yes. A translation and a rotation can map \(\triangle EFG\) onto \(\triangle XYZ\).
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is △efg congruent to △hig? justify your answer using rigid motions. yes…
Yes. A reflection can map $\triangle EFG$ onto $\triangle HIG$.
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is △abc congruent to △xyz? justify your answer using rigid motions. yes…
Yes. A translation and a rotation can map $\triangle ABC$ onto $\triangle XYZ$.
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is △rst congruent to △ijk? justify your answer using rigid motions. yes…
No. It is not possible to map $\triangle RST$ onto $\triangle IJK$ using only rigid motions.
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in triangle abc, the measure of angle b is 90° and (overline{bd}) is an…
D. \(\frac{38}{15}\)
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is △xyz congruent to △rst? justify your answer using rigid motions. yes…
Yes. A reflection can map $\triangle XYZ$ onto $\triangle RST$.
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is △bcd congruent to △wxy? justify your answer using rigid motions. yes…
No. It is not possible to map $\triangle BCD$ onto $\triangle WXY$ using only rigid motions.
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is △ijk congruent to △ljm? justify your answer using rigid motions. yes…
No. It is not possible to map \(\triangle IJK\) onto \(\triangle LJM\) using only rigid motions.
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#3.) in the diagram below l || m. fill in the chart below: angles angle…
| Angles | Angle Pair Name | Relationship | |--|--|--| | ∠2 and ∠12 | Corresponding Angles | Congruent | | ∠5 and ∠7 | Vertical Angles | Congruent | | ∠7 and ∠10 | Alternate Inter…
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is △eix congruent to △aox? justify your answer using rigid motions. yes…
No. It is not possible to map \(\triangle EIX\) onto \(\triangle AOX\) using only rigid motions.
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is △abc congruent to △ade? justify your answer using rigid motions. yes…
Yes. A rotation can map $\triangle ABC$ onto $\triangle ADE$.
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4 yd 6 yd 8 yd 13 yd □ yd²
80
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directions: using the diagram below, determine the measurement at each …
A. $\frac{3}{16}$ inches C. $1\frac{9}{16}$ inches D. $1\frac{5}{8}$ inches E. $2\frac{13}{16}$ inches F. $2\frac{7}{8}$ inches G. $3\frac{1}{16}$ inches H. $4\frac{9}{16}$ inches…
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Question was provided via image upload.
136
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which is the best way to complete the text? francis scott key penned th…
Fort McHenry; he
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a rectangular region is formed. 8 mm 8 mm 17 mm mm²
136
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7 ft 3 ft 12 ft 8 ft □ ft²
$75$
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(a) use the calculator to find the perimeter and area of the field. mak…
(a) Perimeter: 202 yd Area: 1738 yd² (b) Perimeter (c) Area
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an ice - cream shop serves about 60 customers in one day. about how man…
The first rectangle represents the problem.
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triangles pqr and rst are similar right triangles. which proportion can…
F. $\frac{3 - 7}{-4-(-7)}=\frac{-5 - 3}{2-(-4)}$
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27 ft 18 ft (a) use the calculator to find the area and perimeter of th…
(a) Area: $486$ square feet Perimeter: $90$ feet (b) Area (c) Perimeter
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label the side lengths. each square is 10 units wide and 10 units long.…
Top box: 5; Left - hand box: 3
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19. 0 / 1 points 6/15 submissions used find all angles θ between 0° and…
$92.3^{\circ}$
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which rectangle represents 30 x 50? each square is 10 units wide and 10…
(You need to count the squares in the two given rectangles in the actual picture and pick the one with 15 squares. Since the picture - related counting is not done here, the final…
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(a) use the calculator to find the perimeter and area of the parking lo…
Perimeter: 280 yd Area: 4800 yd² (b) Perimeter (c) Area
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(a) use the calculator to find the perimeter and area of the window. ma…
(a) Perimeter: 212 in Area: 2553 in$^{2}$ (b) Perimeter (c) Area
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1 write the ratio 3 different ways. gray parts to total parts 2 gray ci…
1. $\frac{2}{6}$, $2:6$, $\frac{1}{3}$ 2. $\frac{3}{12}$, $3:12$, $\frac{1}{4}$ 3. $\frac{3}{4}$, $3:4$ 4. $\frac{2}{6}$, $2:6$, $\frac{1}{3}$
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consider a regular hexagon inscribed in circle c with radius r. regular…
Length of segment \(AB\): \(r\) \(\angle ACB\): \(60^{\circ}\) Perimeter of the hexagon: \(6r\) Circumference of the circle: \(2\pi r\)
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find the exact values of the six trigonometric functions of the angle. …
\(\sin(-495^{\circ})=-\frac{\sqrt{2}}{2}\), \(\cos(-495^{\circ})=-\frac{\sqrt{2}}{2}\), \(\tan(-495^{\circ}) = 1\), \(\csc(-495^{\circ})=-\sqrt{2}\), \(\sec(-495^{\circ})=-\sqrt{2…
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find the exact values of the six trigonometric functions of the angle. …
$\sin(-330^{\circ})=\frac{1}{2}$, $\cos(-330^{\circ})=\frac{\sqrt{3}}{2}$, $\tan(-330^{\circ})=\frac{\sqrt{3}}{3}$, $\csc(-330^{\circ}) = 2$, $\sec(-330^{\circ})=\frac{2\sqrt{3}}{…
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solve -9x < -45. graph the solution. the solution is □.
$x>5$; For the graph, you would use an open - circle at $x = 5$ (since $x$ is strictly greater than 5) and draw an arrow to the right on the number line.
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name: angel ocel period: date: 10/9/25 seat: geometry homework 2.01: sw…
See the above - filled table and angle - measure calculations.
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solve $\frac{x}{-3}-9 < -11$. graph the solution. the solution is .
$x>6$; For the graph, you would use the open - circle (○) and the arrow pointing to the right (→) starting from 6 on the number line.
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find one solution for the equation. assume that all angles involved are…
$40$
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a triangle has side lengths of (8f + g) centimeters, (4f - 5h) centimet…
$8g + 12f+4h$
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solve -27 ≤ -3x - 9 ≤ -12. graph the solution. the solution is
$1\leq x\leq 6$ To graph: Place a closed - circle at 1 and a closed - circle at 6, and shade the region between them on the number line.
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determine the slope of the stairs. write your answer in simplest form. …
$\frac{1}{4}$
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determine the pitch (slope) of the roof. write your answer in simplest …
$\frac{1}{3}$
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the width of a rectangle measures (4v + 3w) centimeters, and its length…
$-6w + 20v$
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the width of a rectangle measures (7r - 2s) centimeters, and its length…
$16r - 14s$
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name: writing & solving equations review write an equation for each sta…
1. $x + 9 = 20$ 2. $x - 4 = 2x$ 3. $P = 2(l + w)$ 4. $x = 15$ 5. $x = 5$ 6. $x = 16$ 7. $x = 4$ 8. $x = 6$
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review problem 5. these triangles are scaled copies of each other. for …
a. \(\frac{1}{4}\) b. 4 c. \(\frac{1}{16}\) d. 9 e. \(\frac{9}{4}\) f. \(\frac{16}{9}\)
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solve 3x - 9 ≤ -21 or 2x - 2 > -4. graph the solution. the solution is …
$x\leq - 4$ or $x> - 1$ The graph would have a closed - circle at $x = - 4$ and an arrow pointing to the left for $x\leq - 4$, and an open - circle at $x=-1$ and an arrow pointing…
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draw a line representing the “rise” and a line representing the “run” o…
$-\frac{2}{3}$
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16. $\frac{3x}{2}-4=\frac{x}{3}+2$ 18. $0.5x + 6 = 0.25x+9$ 20. $4(x + …
16. $x=\frac{36}{7}$ 18. $x = 12$ 20. $x=6$ 22. All real numbers 24. All real numbers
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4 moses drew the array to solve a problem. what multiplication problem …
4. $9\times4$ 5. $(9\times2)+(9\times2)=18 + 18=36$ 6. Break it into a $6\times4$ part and a $3\times4$ part. Calculate $6\times4 = 24$ and $3\times4 = 12$, then $24+12 = 36$.
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solve the inequality. graph the solution set and write it in interval n…
The solution in interval - notation is $[6,7]$. The correct graph would be a line - segment on the number line starting at 6 (closed circle) and ending at 7 (closed circle).