Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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find the area of the figure. 3 m 6 m 5 m 2 m a =
\(34\) \(m^2\)
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graph the compound inequality. x ≤ 206 or x > 208 plot the endpoints. s…
Graph with a closed - circle at \(206\) and a ray to the left, and an open - circle at \(208\) and a ray to the right.
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use the formulas developed in this section to find the area of the figu…
\(336\)
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graph the compound inequality. -3 < x ≤ 1 plot the endpoints. select an…
Graph with an open circle at \(-3\) and a closed circle at \(1\), connected by a line segment.
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use the formulas developed in this section to find the area of the figu…
\( 37.525\)
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graph the compound inequality. x < -320 or x > -304 plot the endpoints.…
On the number line, place an open circle at \(x = - 320\) and draw a ray to the left of \(x=-320\). Place an open circle at \(x=-304\) and draw a ray to the right of \(x = - 304\).
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use the formulas developed in this section to find the area of the figu…
\( 70\) in²
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use the formulas developed in this section to find the area of the figu…
\( 81 \)
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use the formulas developed in this section to find the area of the figu…
\( 48\,\text{m}^2 \)
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graph the compound inequality. -895 ≤ x < -875 plot the endpoints. sele…
Plot a closed - circle at \(-895\) and an open - circle at \(-875\) and connect them with a line segment.
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i is the midpoint of \\( \\overline{gh} \\). complete the proof that \\…
6. \(\triangle FIG\cong\triangle FIH\); SAS (Side - Angle - Side) Congruence Criterion
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graph the compound inequality. x > 40 and x < 70 plot the endpoints. se…
Plot an open - circle at \(40\) and an open - circle at \(70\), then draw a line segment between them on the number line.
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graph the compound inequality. $x\\leq - 860$ or $x\\geq - 840$ plot th…
On the number - line, place a closed - circle at \(x = - 860\) and draw a ray to the left. Place a closed - circle at \(x=-840\) and draw a ray to the right.
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graph the compound inequality. -100 ≤ x ≤ -65 plot the endpoints. selec…
Plot closed circles at \(-100\) and \(-65\) and draw a segment between them on the number line.
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hk bisects ∠ihj. complete the proof that ∠hkj ≅ ∠hki. statement 1 hk bi…
5. \(\triangle HKI\cong\triangle HKJ\) ; SAS Congruence Criterion
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graph the compound inequality. x > -90 and x ≤ -82 plot the endpoints. …
Plot an open circle at \(-90\) and a closed circle at \(-82\), then draw a line segment between them on the number line.
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graph the compound inequality. -144 < x < -140 plot the endpoints. sele…
Plot open circles at \(x=-144\) and \(x = - 140\), then draw a line segment between them on the number - line.
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graph the compound inequality. x ≤ 0 or x ≥ 30 plot the endpoints. sele…
On the number - line, there is a closed circle at \(0\) with a ray extending to the left and a closed circle at \(30\) with a ray extending to the right.
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graph the compound inequality. 16 ≤ x ≤ 18 plot the endpoints. select a…
On the number line, place a closed circle at \(16\) and a closed circle at \(18\), then draw a line segment connecting these two points.
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tw bisects ∠utv and tv ≅ tu. complete the proof that uw ≅ vw.
5. \( \triangle UTW\cong\triangle VTW\); SAS Congruence Criterion 6. \( \overline{UW}\cong\overline{VW}\); Corresponding parts of congruent triangles are congruent (CPCTC)
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graph the compound inequality. x ≥ 191 and x < 197 plot the endpoints. …
We plot a closed - circle at \(191\) and an open - circle at \(197\) and connect them with a line segment.
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graph the compound inequality. x ≥ 0 and x < 2 plot the endpoints. sele…
Graph a line segment on the number line with a closed - circle at \(0\) and an open - circle at \(2\).
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5. your refrigerator uses 700 watts per hour and is only \on\ for 1/3 o…
\(5.6\) kilowatts.
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graph the compound inequality. 8 ≤ x < 10 plot the endpoints. select an…
Plot a closed - circle at \(8\) and an open - circle at \(10\), then draw a line segment between them on the number line.
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graph the compound inequality. $x\\leq3$ or $x > 7$ plot the endpoints.…
Graph with a closed - circle at \(3\) and a ray to the left for \(x\leq3\), and an open - circle at \(7\) and a ray to the right for \(x > 7\).
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graph the compound inequality. x ≥ -1 and x < 4 plot the endpoints. sel…
Plot a closed circle at \(-1\) and an open circle at \(4\), then connect them with a line segment.
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graph the compound inequality. 6 ≤ x < 8 plot the endpoints. select an …
On the number line, place a closed - circle at \(6\) and an open - circle at \(8\), then draw a line segment between them.
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question a cast iron pipe used as a water main for a home has an outer …
\(269.33\) cubic inches
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29) find ( mangle tef ).
\(120^{\circ}\)
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question a cast iron pipe used as a water main for a home has an outer …
\(269.20\) cubic inches
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which could be the missing reason in step 3?
Alternate interior angles theorem.
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28) 30) find $m\\angle c$.
\(52^{\circ}\)
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question an aquarium can be modeled as a right rectangular prism. its d…
\(256.5\)
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which is a true statement about the diagram? ( m angle 5 + m angle 6 = …
\(m\angle1 + m\angle2 = 180^{\circ}\)
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which statement regarding the interior and exterior angles of a triangl…
An exterior angle is supplementary to the adjacent interior angle.
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what is the value of x? $x = 32$ $x = 36$ $x = 37$ $x = 40$
\(x = 37\)
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9. proof: write a two - column proof. given: rstv is a rectangle and u …
| Statements | Reasons | |---|---| | \(RSTV\) is a rectangle and \(U\) is the mid - point of \(\overline{VT}\) | Given | | \(\overline{RV}\cong\overline{ST}\) | Opposite sides of …
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$$ \\overline { x y } \\perp \\overline { y z }, \\angle v \\cong \\ang…
\(\triangle VZY\cong\triangle XYZ\) (by AAS)
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which represents an exterior angle of triangle abf? ∠bad ∠afe ∠cad ∠cab
$\angle BAD$
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are △bcd and △qrs congruent?
\(\triangle BCD\) and \(\triangle QRS\) are congruent.
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wx ≅ vx and tx ≅ ux. complete the proof that uv ≅ tw.
\(\triangle TWX\cong\triangle UVX\) (by SAS); \(\overline{UV}\cong\overline{TW}\) (by CPCTC)
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if ( mangle x = 34^{circ} ) and ( mangle z = 26^{circ} ), what is ( man…
\(m\angle Y = 120^{\circ}\)
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given: \\( \\triangle abc \\) prove: \\( m\\angle zab=m\\angle acb + m\…
The first blank: Linear Pair Postulate; the second blank: Triangle Angle - Sum Theorem; the third blank: Subtraction Property of Equality.
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use the diagram showing ( m parallel n ), as well as the relationships …
The measure of angle \(ABC\) is \(120^{\circ}\). The measure of angle \(BAC\) is \(50^{\circ}\). The measure of angle \(ACB\) is \(10^{\circ}\).
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which statements are always true regarding the diagram? check all that …
\(m∠3 + m∠4 = 180^{\circ}\), \(m∠2 + m∠4=m∠5\)
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given: ( m parallel overline{cb} ) prove: ( m angle abc + m angle bac +…
Alternate interior angles of parallel lines cut by a transversal are congruent.
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which represents an exterior angle of triangle xyz? ∠lxz ∠jxm ∠jxz ∠hxj
$\angle JXZ$
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solving for exterior angle measures what is the measure of ∠abd? 27° 54…
\(114^{\circ}\)
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applying angle relationships of isosceles triangles what is the measure…
\(\angle EGF = 65^{\circ}\), \(\angle CGF=115^{\circ}\)
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solving for angle measures what is the value of k? 115° (4k + 5)° (6k +…
\(10\)
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and exterior angles of a triangle. what is the value of x?
\(98\)
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wx ≅ vx and tx ≅ ux. complete the proof that uv ≅ tw. statement 1 wx ≅ …
4. \(\triangle TXW\cong\triangle UXV\); SAS (Side - Angle - Side) Congruence Rule.
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in this figure, \\( \\overline { a b } \\) and \\( \\overline { c d } \…
\(a\)
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serena constructed a wire barrier to protect her tomato plant from squi…
D. a circle with a diameter of 5 feet
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select the correct answer.why do the hands on the clock form an angle?a…
D. The hands are two line segments that share the same endpoint.
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the angle by which \\( \\overline { a b } \\) turns clockwise about poi…
The angle by which \(\overline{AB}\) turns clockwise about point \(B\) to coincide with \(\overline{BC}\) is \(63.9\) degrees. The angle by which \(\overline{AB}\) turns countercl…
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the angle by which \\( \\overline { a b } \\) turns clockwise about poi…
\(116.1\)
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analyze the diagram to complete the statements. the ( mangle mxn ) is t…
The \(m\angle MXN\) is equal to the \(m\angle YZX\). The \(m\angle LZX\) is equal to the \(m\angle ZYX + m\angle YXZ\). The \(m\angle MYL\) is equal to \(180^{\circ}-m\angle ZYX\).
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shade the venn diagram to show the set. aud use the graphing tool to gr…
Shade the entire universal set \(U\) except the overlapping part of circles \(A\) and \(D\).
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shade the venn diagram to show the set. b∩g use the graphing tool to gr…
Shade the region of circle \(G\) that does not overlap with circle \(B\) in the Venn - diagram.
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what is the measure of \\( \\angle xbc \\)? 1. \\( m \\angle xbc = m \\…
\(135\)
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homework question 2, 8.2.1 hw score: 5.56%, 1 of 18 points points: 0 of…
Shade the entire circle \(G\) and the part of the universal set \(U\) that does not overlap with circle \(B\) (i.e., the region outside of circle \(B\) in the universal set \(U\)).
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homework question 1, 8.2.1 hw score: 0%, 0 of 18 points points: 0 of 1 …
Shade the part of circle \(C\) that does not overlap with circle \(D\) in the Venn - diagram.
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complete the sentence with the present perfect form of the verb. since …
have sung
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algebra quadrilateral abcd is a rectangle. 1. if ( ac = 2x + 13 ) and (…
\(DB = 27\)
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literary lenses after reading the paragraph, identify which critical le…
Psychoanalytic
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vw || tu, ∠utv ≅ ∠tuv, and tv ≅ uw. complete the proof that tw ≅ uv. 1 …
1. Given; 2. Alternate - interior angles; 3. Given; 4. Alternate - interior angles; 5. Alternate - interior angles; 6. Transitive property; 7. Transitive property; 8. Reflexive pr…
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given: x || y and w is a transversal prove: ∠3 ≅ ∠6 what is the missing…
transitive property
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given: m || n and p is a transversal prove: m∠2 = m∠7 what is the missi…
transitive property
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solve for x. 11) 20x 65° 75°
\(x = 2\)
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two parallel lines are crossed by a transversal. what is the value of x…
\(x = 115\)
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the ( mangle6=(11x + 8)^{circ} ) and ( mangle7=(12x - 4)^{circ} ) what …
# Explanation: ## Step1: Find the value of \(x\) Since \(\angle6\) and \(\angle7\) are supplementary (they form a linear pair), \(m\angle6 + m\angle7=180^{\circ}\). So, \((11x + 8…
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two parallel lines are crossed by a transversal. what is the value of x…
\(x = 110\) (corresponding to the third option in the given choices)
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trigonometric ratios maze! directions: beginning at the start box, find…
The path through the maze is: Start (calculate \(\sin Z=\frac{8}{17}\)) → Find: \(\cos A\) (\(\frac{24}{25}\)) → Find: \(\tan T\) (\(\frac{5}{3}\)) → Find: \(\tan A\) (\(\frac{3}{…
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lines b and c are parallel. what is the measure of ∠2? m∠2 = 31° m∠2 = …
\(m\angle2 = 130^{\circ}\)
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$\\overline{ux}\\cong\\overline{tu},\\overline{vw}\\cong\\overline{ty}$…
1. Given 2. Given 3. Given 4. Segment Addition Postulate 5. Segment Addition Postulate 6. Substitution (because \(XY = UV\)) 7. Transitive Property of Equality 8. SSS (\(\overline…
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hijk ~ vuxw. what are ( mangle k ) and ( mangle u )? ( mangle k=) ( ^{c…
\(m\angle K = 97^{\circ}\) \(m\angle U = 89^{\circ}\)
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△wxy ≅ △wvz. complete the proof that ∠xzy ≅ ∠vyz. 1 △wxy ≅ △wvz 2 \\ove…
1. Given 2. CPCTC 3. CPCTC 4. CPCTC 5. Segment Addition Postulate 6. Segment Addition Postulate 7. Substitution Property of Equality 8. Transitive Property of Equality 9. Reflexiv…
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△bcd ~ △xwy. what is m∠w? m∠w = □°
\(48\)
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rstu ~ jihg. find ru and tu. ru= tu=
\(RU = 18\), \(TU = 12\)
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lines b and c are parallel. what is the measure of ∠6? m∠6 = 45° m∠6 = …
\(m\angle6 = 126^{\circ}\) (the fourth option)
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cdef ~ hijg. what are ( mangle c ) and ( mangle g )? ( mangle c=square^…
\(m\angle C = 117^{\circ}\) \(m\angle G = 98^{\circ}\)
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use the cylinder shown to mark each statement as true or false. rewrite…
9. False 10. False 11. True
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abcde ~ wvutx. what is m∠t? m∠t = °
\(101\)
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δwxz ≅ δyvz. complete the proof that \\overline{vw} ≅ \\overline{xy}.
1. Given 2. CPCTC 3. CPCTC 4. Vertical Angles Theorem 5. SAS 6. CPCTC
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abcd ~ rstu. what are m∠t and m∠s? m∠t = □° m∠s = □°
\(m\angle T = 63^{\circ}\), \(m\angle S = 53^{\circ}\)
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which statements regarding the diagram are true? check all that apply. …
\(\angle EFG\) is an interior angle of \(\triangle EFG\), \(\angle YGE\) is an exterior angle of \(\triangle EFG\), \(\angle EGF\) and \(\angle FGY\) are supplementary angles. So …
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abcd ~ ijkh. find ab and bc. ab = bc =
\(AB = 5\) \(BC = 10\)
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two parallel lines are crossed by a transversal. what is the value of h…
\(h = 120\)
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complete the proof that \\( \\overline { h i } \\cong \\overline { f k …
1. Given 2. Given 3. Vertical angles are congruent 4. Segment addition postulate 5. Segment addition postulate 6. Substitution property (of equality) 7. Transitive property (of eq…
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△ghi ~ △efd. find de. de =
\(2\)
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△xyz and △vwz are equilateral. complete the proof that ∠vyz ≅ ∠wxz. 1 △…
1. Given 2. Given 3. All sides of an equilateral triangle are congruent 4. All sides of an equilateral triangle are congruent 5. Vertical angles are congruent 6. SAS (Side - Angle…
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given: lines a and b are parallel and line c is a transversal. prove: ∠…
alternate interior angles theorem
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determining an unknown angle measure m∠6 is (2x - 5)° and m∠8 is (x + 5…
\(115\)
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give the solution set in both interval and graph form. $| - 5 + x | > 1…
A. The solution set is \((-\infty,4)\cup(6,\infty)\) and the correct graph is the one with open - circles at \(4\) and \(6\) and rays going to the left of \(4\) and to the right o…
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wx || uv and uv ≅ wx. complete the proof that ux ≅ vw. 1 wx || uv 2 uv …
1. Given; 2. Given; 3. Alternate interior angles theorem; 4. Reflexive property of congruence; 5. SAS (Side - Angle - Side); 6. CPCTC (Corresponding Parts of Congruent Triangles a…
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given: a and b are parallel and c is a transversal. prove: ∠2 ≅ ∠7 use …
First blank: vertical; Second blank: alternate exterior; Third blank: transitive property of congruence.
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what is the ( mangle acb )? ( 10^{circ} ) ( 50^{circ} ) ( 90^{circ} ) (…
\(50^{\circ}\)
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∠srw ≅ ∠tuv, ∠rws ≅ ∠utv, and \\( \\overline { vw } \\cong \\overline {…
The reasons for each step are: 1. Given; 2. Given; 3. Given; 4. Segment Addition Postulate; 5. Segment Addition Postulate; 6. Substitution Property of Equality; 7. Transitive Prop…
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11. crater lake in oregon is shaped like a circle with a diameter of ab…
The area of the surface of Crater Lake is approximately \(23.75\) square miles.