Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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6. find the value of x.
$x = 90$
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solve the inequality and graph the solution on the line provided. 8x + …
Inequality Notation: $x\geq - 5$ Number Line: Draw a number line. Mark a closed - circle at - 5 (because the inequality is $\geq$) and shade to the right of - 5.
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for the purpose of purchasing new baseboard and carpet, complete parts …
a. Area: 72 square - feet; Perimeter: 34 feet b. C. The baseboard has to do with perimeter and the carpet has to do with area.
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what is the area of this figure? if necessary, round your answer to the…
$202.28$ square feet
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which statement is true about this argument? premises: if a quadrilater…
The argument is valid by the law of syllogism.
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9. un triangle rectangle possède des catètes qui mesurent (2x10^8) cm e…
$6\times10^{12}$ cm
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question solve for k and w.
$w = \frac{5\sqrt{5}}{2}$, $k=\frac{5\sqrt{15}}{2}$
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solve the inequality and graph the solution on the line provided. 6 + 7…
Inequality Notation: $x\leq - 3$ Number Line: Draw a number line. Put a closed - circle at - 3 (because the inequality is $\leq$) and shade to the left of - 3.
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question solve for w and k. answer attempt 1 out of 4 k = w =
$k=\sqrt{3}$ $w = 2\sqrt{3}$
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which statement is true about this argument? premises: if a triangle ha…
The argument is not valid because the conclusion does not follow from the premises.
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find the length of side x in simplest radical form with a rational deno…
$3\sqrt{3}$
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question solve for x and w. answer attempt 1 out of 3 x = w =
$x = 24\sqrt{2}$ $w=12\sqrt{2}$
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which statement is true about this argument? premises: if two lines are…
The argument is not valid because the conclusion does not follow from the premises.
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question solve for k and w.
$w = \frac{5\sqrt{5}}{2}$, $k=\frac{5\sqrt{15}}{2}$
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solve the inequality and graph the solution on the line provided. 19 + …
Inequality Notation: $z < 7$ Number - Line: Draw a number line. Put an open circle at 7 (since $z$ is less than 7, not less than or equal to) and shade the line to the left of 7.
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chloe draws three parallelograms. in each figure, she measures a pair o…
In a parallelogram, consecutive angles are supplementary.
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question solve for w and k.
$k = 4$, $w = 4\sqrt{3}$
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timothy draws three isosceles triangles. in each figure, he measures a …
In an isosceles triangle, two of the angles are congruent.
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question solve for w and x. answer attempt 1 out of 3 w = x =
$W = 2\sqrt{3}$ $x = 4$
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solve the inequality and graph the solution on the line provided. 15 + …
Inequality Notation: $x\leq - 1$ Number Line: Mark a closed - circle at - 1 and shade to the left.
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kathryn draws three pairs of intersecting lines. in each figure, she me…
When a pair of lines intersect, the vertical angles are congruent.
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find the surface area of this sphere. sphere formulas sa = 4πr² v = $\f…
$196$
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derive the formula for the circumference of a circle with radius r by f…
$2r$
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find the volume of this sphere. sphere formulas sa = 4πr² v = $\frac{4}…
$\frac{10976\pi}{3}$
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1. because all circles are similar, set up a proportion of the circumfe…
$\pi$
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find the surface area of this sphere. sphere formulas sa = 4πr² v = $\f…
$256$
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find the volume of this sphere. sphere formulas sa = 4πr² v = $\frac{4}…
$8788$
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look at this rectangle. find the value of t. perimeter = 46 millimeters…
$15$
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10. 4.38×10^(-2) 11. 6.2×10^(-8) 12. 2×10^(-4) 13. 5,000 directions: wr…
10. $0.0438$ 11. $0.000000062$ 12. $0.0002$ 13. $5\times10^{3}$ 14. $7.4\times10^{6}$ 15. $2.88\times10^{2}$ 16. $2.3\times10^{-4}$ 17. $9.7\times10^{-1}$ 18. $8.94\times10^{-8}$ …
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what is the missing length? area = 48 in² t = inches 12 in
8
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the circumference of a circle is 3π meters. what is the radius? c = 3π …
$\frac{3}{2}$
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what is the missing length? area = 255 m² v = meters
15
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what is the area of this figure? if necessary, round your answer to the…
$223$
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examples: 1. graph points a (3, 7), b (3, 4), and c (9, 4) and the segm…
$d_{AB}=3$, $d_{BC}=6$, $d_{AC}=3\sqrt{5}$ ### 2.
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find each missing angle measure. 2. (65x - 12)° (43x + 10)°
$53^{\circ}$
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kimberly wants to paint all the surfaces of the table shown below. whic…
C. the surface area of 1 rectangular prism and 4 cylinders
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2. identify each missing angle measure. vertical (65x - 12)° (43x + 10)°
\(53^{\circ}\)
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rectangular arrays/area models: grids or drawings to represent the divi…
1. 6 counters 2. 3 counters
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r(45, 85) and s(77, 90) are the endpoints of a line segment. what is th…
$(61,87.5)$
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a line segment has the endpoints g(1, 13) and h(20, 18). find the coord…
$(10.5,15.5)$
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a line segment has the endpoints s(-12, 18) and t(-20, -10). find the c…
$M=(-16,4)$
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quadrilateral a has side lengths 3, 4, 5, and 6. quadrilateral b is a s…
B. 6, D. 8
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j(0, 2) and k(12, -16) are the endpoints of a line segment. what is the…
$(6,-7)$
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11. clare created figure a. then she created figure b by translating tr…
a. Figure A is congruent to Figure B c. Triangle C is congruent to Triangle C' d. Triangle D' is congruent to Triangle D
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a line - segment has the endpoints j(5, 11) and k(20, 2). find the coor…
$(12.5,6.5)$
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4. the following two polygons are similar. find the missing side length…
D. 22.1 in
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p(1, 0) and q(9, 8) are the endpoints of a line segment. what is the mi…
$(5,4)$
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if each square weighs 10 pounds and each circle weighs x pounds, then t…
Since the diagrams for parts a - f are not provided, I'll assume a general approach for creating equations based on the given weights. # Explanation: The key idea is that for a ba…
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3. the following two triangles are similar. find the missing side lengt…
C. 5
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a line - segment has the endpoints g(9, 2) and h(3, 2). find the coordi…
$(6,2)$
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2. true or false, rectangles hijk and pqrs are similar.
true
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3. lisa is wondering how she could find the total area of just the walk…
Follow the above four - step process to find the total area of the walking paths.
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st has endpoints at s(0, 4) and t(8, 10). find the midpoint m of st. wr…
$(4,7)$
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point d is on segment dc. segment bc measures 8x units in length. what …
144
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2. this hanger containing 2 pentagons and 6 circles is in balance. use …
1. A hanger with 1 pentagon and 3 circles. 2. A hanger with 4 pentagons and 12 circles.
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5. which number line represents the solution to the inequality 5 - 3x <…
The number - line with an open circle at - 2 and an arrow pointing to the right represents the solution.
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the area of a circle is 9π square centimeters. what is the diameter? a …
6
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the circumference of a circle is 20π miles. what is the diameter? c = 2…
20
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the coordinates of the endpoints of cd are c(-6, -1) and d(6, 5). point…
$(-4,0)$
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the coordinates of the endpoints of gh are g(2, 7) and h(11, 16). point…
\((6,11)\)
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graph the solution set of the following inequality. |2x - 5| > 9 one po…
The solution set is \(x<-2\) or \(x > 7\). On the number line, we have open - circles at \(x=-2\) and \(x = 7\), and we shade the regions to the left of \(x=-2\) and to the right …
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what is the midpoint of $overline{lq}$? -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 …
point N
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point s lies on qr such that qs:rs is 4:3. graph s.
The point \(S\) is at \((7,9)\). Plot the point \((7,9)\) on the graph.
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tonya and pearl each completed a separate proof to show that alternate …
Pearl completed the proof incorrectly because she misidentified $\angle AKL$ and $\angle GKB$ as adjacent angles instead of vertical angles in step 2 of her proof.
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the area of a circle is 4π square miles. what is the radius? a = 4π mi²…
2
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the figure shows adjacent angles bac and cad. given: m∠bad = 134°, m∠ba…
Part A: $x = 22$ Part B: $m\angle CAD=87^{\circ}$
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the circumference of a circle is 18π kilometers. what is the diameter? …
18 kilometers
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Question was provided via image upload.
30
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the circumference of a circle is 16π inches. what is the radius? c = 16…
8
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35 63 56 48 54 ?
\(72.25\)
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the circumference of a circle is 10π inches. what is the diameter? c = …
10 inches
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? 48 54 63 35 56
30
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2. what is the overall area of the gardening space? (the gardening spac…
$A = l\times w$ square units (where $l$ and $w$ are the length and width of the overall gardening space respectively)
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Question was provided via image upload.
5
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Question was provided via image upload.
10
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of the following inequality. |2x - 7| < 1 one point graph point 1 solid…
The solution of the inequality \(|2x - 7|\lt1\) is \(3\lt x\lt4\). On the number - line, the open circles are at \(x = 3\) and \(x = 4\), and the shading is between them.
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10 8 14 4 7 ?
5
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12 ? 24 15 25
20
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question 2 (essay worth 10 points) (mc) jaymie wants to construct congr…
The similarity is that both use a compass to measure and transfer lengths and a straight - edge to draw straight lines in their geometric construction tasks.
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a soccer ball is kicked 6 m north. then a teammate kicks it 3 m east in…
9 m
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set up ratios to find the missing side. 10 15 24 15
16
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2. what is the overall area of the gardening space? (the gardening spac…
$A$ square units (where the actual values of $l$ and $w$ need to be determined from the full problem - context)
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what is the area? 10 in 13 in square inches
130
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what is the friendliest kind of airplane? circle out the box containing…
1. $1\frac{1}{4}$ gal 2. 5 s 3. $\frac{3}{8}$ c 4. 7.5 ft 5. $\frac{1}{10}$ 6. $\frac{4}{5}$ (assuming one - bottle amount) 7. $\frac{3}{5}$ 8. $2\frac{1}{3}$ oz 9. $\frac{1}{12}$…
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2. for each pair of shapes, decide whether or not the two shapes are co…
The two shapes are not congruent.
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scale factor:
$\frac{1}{2}$
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underline the verb(s). circle past, present, or future to identify the …
Underline "repaired" and "collected". Circle "past".
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additional practice problem set unit 1 lesson 12 additional practice pr…
a. The two pentagons are congruent as their corresponding sides and angles are equal (by observing the grid - based figure and noting equal side - lengths and angle - measures). b…
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a. verify that each set of numbers forms a pythagorean triple. 8, 15, 1…
The set of numbers 8, 15, 17 is a Pythagorean triple because \(8^{2}+15^{2}=64 + 225=289=17^{2}\). The set of numbers 16, 30, 34 is a Pythagorean triple because \(16^{2}+30^{2}=25…
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line p passes through points (8, 5) and (1, 10). line q passes through …
parallel
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10. underline the verb(s). circle past, present, or future to identify …
Underline "repaired" and "collected". Circle "past". ### 11.
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what type of lines intersect and are coplanar? select all that apply. a…
B. perpendicular
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multiple choice (single) find the volume of the following cone. a 18π c…
B. $24\pi$ $cm^{3}$
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what type of lines intersect and are coplanar? select all that apply. a…
B. perpendicular
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a transitive verb may have both a direct and an indirect object. the in…
Circle: Tammy; Underline: a gift
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quadrilateral abcd is the result of translating quadrilateral abcd by 5…
A. $\angle C$ and $\angle C'$ have the same measures. B. The areas of quadrilateral $ABCD$ and quadrilateral $A'B'C'D'$ are the same. C. The perimeters of quadrilateral $ABCD$ and…
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circle a is the result of reflecting circle a across the line l. select…
A. The radii of circle \(A\) and circle \(A'\) have the same lengths B. Circle \(A\) and circle \(A'\) have the same circumference C. Circle \(A\) and circle \(A'\) have the same …
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quadrilateral abcd is the result of rotating quadrilateral abcd by 60° …
B. \(\angle B\) and \(\angle B'\) have the same measure.
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circle a is the result of translating circle a by 2 units to the right …
B. Circle $A$ and circle $A'$ have the same area. C. The radii of circle $A$ and circle $A'$ have the same lengths.
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the radius of a circle is 8 kilometers. what is the circumference? r = …
$16\pi$ km