Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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in the figure below, m∠abc = 132° and m∠1 = 49°. find m∠2.
$83$
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in the figure below, m∠1 = 48° and m∠2 = 99°. find m∠stw.
$147$
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look at this diagram: if df and gi are parallel lines and m∠ihe = 129°,…
$129^{\circ}$
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question 10 for the quadrantal angle 7π/2, give the coordinates of the …
a) $(0, - 1),\cos(\frac{7\pi}{2}) = 0,\tan(\frac{7\pi}{2})$ is undefined b) $\frac{1}{2}$
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(a) an angle measures 81°. what is the measure of its supplement? (b) a…
measure of the supplement: $99^{\circ}$ measure of the complement: $63^{\circ}$
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in the figure below, m∠2 = 36° and m∠gfh = 75°. find m∠1.
$39$
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(a) an angle measures 28°. what is the measure of its complement? (b) a…
Measure of the complement: $62^{\circ}$ Measure of the supplement: $51^{\circ}$
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in the figure below, m∠1 = 25° and m∠2 = 26°. find m∠gfj.
$51$
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natalie is packing 1 - centimeter unit cubes into a prism. what is the …
# Explicación: ## Paso 1: Identificar la fórmula del volumen de un prisma rectangular El volumen $V$ de un prisma rectangular se calcula con la fórmula $V = L\times w\times H$, do…
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in the figure below, m∠fgj = 153° and m∠2 = 99°. find m∠1.
$54$
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6. ∠u and ∠w are vertical angles. if m∠u=(6x + 11)° and m∠w=(10x - 9)°,…
\(41^{\circ}\)
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in the figure below, m∠1 = 89° and m∠2 = 67°. find m∠xwy.
$m\angle XWY = 22^{\circ}$
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5. ∠p and ∠q are supplementary angles. if the m∠p=(4x + 1)° and m∠q=(9x…
$123^{\circ}$
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1. the cities shown on the map lie approximately on a straight line. fi…
1. **For the question about collinear - points (Question 3):** - **Explanation**: - **Step 1: Recall the definition of collinear points** - Collinear points are points that lie on…
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which of the following statements is not true? choose the incorrect sta…
D. The lines $y=\frac{3}{2}x + 7$ and $2x - 3y = 5$ are perpendicular.
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in the figure below, m∠1 = 89° and m∠2 = 67°. find m∠xwy.
$24$
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4. ∠r and ∠s are complementary angles. if the m∠r=(12x - 3)° and m∠s=(7…
\(57^{\circ}\)
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10. use the given two - column proof to write a paragraph proof. given:…
The proof shows that if $\angle1$ and $\angle2$ are complementary and $\angle1\cong\angle3$, then $\angle2$ and $\angle3$ are complementary.
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3. if m∠knm=(8x - 5)° and m∠mnj=(4x - 19)°, find the measure of ∠knm.
$43^{\circ}$
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the function f is defined by f(x)=7x³. in the xy - plane, the graph of …
1. D. \(g(x)=7x^{3}-2\) 2. B. \(\frac{35}{171}\) 3. C. \(15\) 4. \(986\) \(cm^{2}\)
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in the figure below, m∠1 = 2x° and m∠2=(x + 69)°. find the angle measur…
$m\angle1 = 74^{\circ}$ $m\angle2 = 106^{\circ}$
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in the circle below, the measure of arc qt is 43 and the measure of ang…
53
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(a) name the vertex of ∠hfg. (b) write two other names for ∠efh. (c) na…
(a) $F$ (b) $\angle 2$, $\angle HFE$ (c) $\overrightarrow{FE}$, $\overrightarrow{FG}$
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mollie was given 4 problems 9 + 11 = 20 3 + 5 = 8 7 + 15 = 22 1 + 13 = …
Mollie used Inductive reasoning. Maggie used Deductive reasoning.
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identify a biconditional statement, if possible, that could be written …
D. A point is a midpoint, if and only if, it divides a segment into two equal halves.
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in the figure, m∠1=(x + 14)° and m∠2=(3x)°. (a) write an equation to fi…
(a) Equation: $(x + 14)+3x=90$ (b) $m\angle1 = 33^{\circ}$ $m\angle2 = 57^{\circ}$
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15 the diagram below shows ∠ghi inscribed in a circle. the measure of $…
$33^{\circ}$
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question 5 (1 point) solve the inequality. graph the solution - set and…
B. Graph with open circle at 3 and arrow left, Interval notation: \((-\infty, 3)\)
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solve each inequality and graph its solution. 5) -11 > m - 20
$m < 9$; On the number - line, an open circle at 9 and an arrow pointing to the left.
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part a the measure of the minor arc in the circle shown below is degree…
150
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select the term that matches the statement manipulated from the conditi…
A. Contrapositive, Valid B. Inverse, Valid C. Converse, Valid
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in the figure, ∠1 is a central angle and ∠2 is an inscribed angle. find…
$m\angle1 = 143^{\circ}$, $m\angle2 = 71.5^{\circ}$
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identify the hypothesis and the conclusion: if three points are colline…
Hypothesis: Three points are collinear Conclusion: A line connects the points
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in the figure, (mangle1=(2x)^{circ}) and (mangle2=(x + 84)^{circ}). (a)…
(a) Equation: $2x+(x + 84)=180$ (b) $m\angle1 = 64^{\circ}$ $m\angle2 = 116^{\circ}$
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question 2 (3 points) the complement of one angle is 10 more than 4 tim…
Solve for $x$: $x = 16$ Angle = $16$ Complement = $74$
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three intersecting lines form triangle bce. use angle relationships to …
\(360\)
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in the figure shown, t || x and k || w and m∠3 = 20. choose the list wh…
D. 1, 5, 7, 9, 11, 14, 16
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if m∠4 = 35, find m∠2. explain. a. 55; ∠2 and ∠4 are complementary angl…
B. 35; $\angle2$ and $\angle4$ are corresponding angles, so $m\angle2 = m\angle4$
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in the figure below, m∠2 = 60°. find m∠1.
$30$
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show instructions question 1 (3 points) an angle is 63 more than twice …
$x = 141$ Angle = $141$ Supplement = $39$
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what is m∠2 + m∠3? explain. a. 180; m∠1 + 90 = 180, so m∠2 + m∠3 = 180.…
C. 90; $m\angle1 + m\angle2 + m\angle3 = 180$. $m\angle1 = 90$, so $m\angle2 + m\angle3 = 90$.
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in the figure below, m∠wxz = 65°, and m∠2 is four times m∠1. find m∠1. …
$13$
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in the figure shown, line r is parallel to line s. use angle relationsh…
Step 1: $\angle5$; Step 2: alternate - interior; Step 3: $\angle3$, alternate - interior; Step 4: $180^{\circ}$
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question 3 (2 points) state the angle relationship (complementary, supp…
angle relationship = vertical $x = 14$
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(a) an angle measures 40°. what is the measure of its complement? (b) a…
measure of the complement: $50^{\circ}$ measure of the supplement: $112^{\circ}$
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select all the true statements. a. ∠3≅∠2 because they are alternate int…
B. \(m\angle1 + m\angle3 = 180\) because they form a straight angle. C. ∠3≅∠6 because they are alternate interior angles. D. ∠1 and ∠6 are supplementary because ∠3≅∠6 and \(m\angl…
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in the figure below, m∠wxz = 66°, and m∠1 is 18° more than m∠2. find m∠…
$24$
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question 2 (2 points) state the angle relationship (complementary, supp…
angle relationship = complementary x = 30
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in the figure below, m∠1=(x - 4)° and m∠2 = 7x°. find the angle measure…
$m\angle1 = 19^{\circ}$ $m\angle2 = 161^{\circ}$
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question 1 (2 points) state the angle relationship (complementary, supp…
angle relationship = supplementary x = 33
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in the figure below, m∠abc = 72° and m∠1 = 37°. find m∠2.
\(35\)
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triangle abc and triangle def are similar. in triangle abc, m∠a = 82°. …
\(m\angle E = 31\) \(m\angle G = 149\)
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in the figure, m∠1=(6x)° and m∠2=(x - 8)°. (a) write an equation to fin…
(a) Equation: $6x+(x - 8)=90$ (b) $m\angle1 = 84^{\circ}$ $m\angle2 = 6^{\circ}$
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which of the following is not true of sculpture in the round? a. there …
A. There are three main techniques of sculpture in the round which include, casting, carving, and assemblage.
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a large cube has a volume of 1 cubic unit. a small cube has a volume of…
$\frac{2}{3}$
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if (mangle bce=x), and the (mangle dce) is 4 times bigger than (mangle …
x = 26 m∠DCE = 104
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in triangle fgh, m∠f = 59° and m∠h = 77°. complete the equation to dete…
\(m\angle G = 180-(59 + 77)\)
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10) a triangular park has vertices a(-2,9), b(-8,-2) and c(4,3) and pat…
a) (Sketching is a manual process and cannot be shown here in text - but plot the points $A(-2,9)$, $B(-8,-2)$ and $C(4,3)$ and draw the perpendicular from $B$ to $AC$ on the give…
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the faces of a cube have an area of 0.01 square units each. what is the…
$0.001$
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question 2 (3 points) if m∠def=(6x + 2): m∠deg=(4x + 1): and m∠gef = 19…
$x = 9$ $m\angle DEG=37$ $m\angle DEF=56$
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given: $m\\angle abd = m\\angle dbc$. find the value of x, and then fin…
$x = 12$ $m\angle ABD=30$ $m\angle ABC=60$
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which choice is the best paraphrase of the following excerpt from \help…
For the first question: B. The people in the subway cheered as the young man in the green jacket shook off the shock of saving the homeless man, who had fallen from the platform. …
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a cube - shaped box has a volume of 64 cubic inches. what is the area o…
16
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zack wants to determine the missing angle measures in parallelogram jkl…
Part A: A. $\angle 1$ Part B: $79$
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a cube - shaped box has a volume of 64 cubic inches. what is the area o…
16
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42) 19 32° x 44) 49° x 11
For the first triangle, $x\approx10.07$. For the second triangle, $x\approx12.65$.
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what is the perimeter of a square whose area is $\frac{1}{25}$ square u…
$\frac{4}{5}$
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question 3 (2 points) find the coordinates of the midpoint of a the seg…
$(2,2)$
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3) given: ∠2 and ∠3 are supplementary prove: r || m statements reasons …
For the first proof: | Statements | Reasons | |--|--| | a. $\angle2$ and $\angle3$ are supplementary | a. Given | | b. $m\angle2 + m\angle3 = 180^{\circ}$ | b. Definition of suppl…
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a cube - shaped box has a volume of $\frac{1}{8}$ of a cubic meter. wha…
2
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question 2 (1 point) find the distance between the points (-1, 4) and (…
$5.39$
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question 1 (1 point) find the distance between the points: (-4, 6) and …
$14.76$
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rita tells john that since line p is parallel to line q, he can determi…
75
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question 4 (2 points) if r is the mid - point of $overline{qs}$, find q…
$x = 11$ $QS = 76$
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constructed response #1: using the image below, answer each of the foll…
## Constructed Response #1: ### a. $\angle1$ and $\angle9$ are corresponding angles. By the corresponding - angles postulate, $x\parallel y$. ### b. No, because $\angle18$ and $\a…
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question 3 (2 points) given that b is the midpoint of segment ac. if ab…
$x = 6$ $AC = 54$
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in the figure below, m∠1 = 37°. find m∠2.
$143$
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identify the lines that must be parallel based on the angle measures. 1…
1. \(a\parallel c\) 2. \(x = 6\) 3. Follow the construction steps above to construct the parallel line.
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question 1 (3 points) given: jk = 2x + 10, kl = x - 4, and jl = 21 use …
$x = 5$ $JK = 20$ $KL = 1$
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14. identify the lines that must be parallel based on the angle measure…
\(x = 6\)
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what is the area, in square inches, of the rectangle?
40
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the diagram shows parallel lines a and b cut by transversals c and d. m…
m∠2 = 65° m∠12 = 85° m∠16 = 115°
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mabel bought a rug that is 5 feet long and 6 feet wide. what is the are…
30 square feet
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for each of the following, find the indicated angle measures. be sure t…
19. \(a = 74\), \(b = 69\), \(c = 47\) 20. \(d = 39\), \(e = 96\), \(f = 43\)
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(a) an angle measures 81°. what is the measure of its supplement? (b) a…
measure of the supplement: $99^{\circ}$ measure of the complement: $51^{\circ}$
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what is the volume of this rectangular prism? use unit - cubes to solve…
30 cubic feet
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in the figure below, m∠1=(x + 18)° and m∠2 = 3x°. find the angle measur…
$m\angle1 = 36^{\circ}$ $m\angle2 = 54^{\circ}$
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unit 1 exam on lessons 1.1 to 1.12 (33 points possible) 12. (5 points) …
\(15\)
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10. what value of x would prove that lines l and m are parallel? 11. wh…
\(x = 20\) 11.
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11. (1 point each) in the accompanying diagram, $overline{cb}$ intersec…
(a) $m\angle AOB = 66^{\circ}$ (b) $m\angle DOB = 114^{\circ}$ (c) $m\angle COD = 66^{\circ}$
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8. identify the three correct angles that are supplementary to ∠1. 9. c…
8. The angles supplementary to ∠1 are ∠2, ∠3, ∠7. 9. ∠1 and ∠5: Corresponding angles ∠4 and ∠5: Alternate interior angles ∠1 and ∠8: Alternate exterior angles ∠3 and ∠4: Adjacent …
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parallel lines h and g are cut by transversal t. which statements are t…
$\angle4\cong\angle8$, $\angle3\cong\angle1$, $\angle6\cong\angle1$, $\angle3$ and $\angle8$ are supplementary.
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fill in the reasons for 4 and 5 based on the previous statement given a…
4. Congruent Supplements Theorem 5. Corresponding Angle Converse
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4. determine which lines are parallel based on the diagram below.
Lines a and c are parallel.
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determine which lines are parallel based on the diagram below. given: ∠…
In the proof part, the reasons for the statements are: 1. Given 2. Vertical angles are congruent 3. Transitive property 4. Corresponding - angles postulate. For the first part abo…
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6. identify the three correct angles that are congruent to ∠1.
$\angle3$, $\angle5$, $\angle7$
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10. (6 points) given △abc, m∠a=(3x + 28)°, m∠b=(5x + 52)°, and m∠c=(2x …
$x = 11$, $m\angle C=12^{\circ}$
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the diagram shows parallel lines p, q, and r cut by transversal t. drag…
Corresponding Angles: ∠1 and ∠5 Same - Side Interior Angles: ∠4 and ∠5 Alternate Interior Angles: ∠4 and ∠6 Vertical Angles: ∠2 and ∠4
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5. given: ∠4 = ∠5. prove: m||n statements reasons 1. ∠4≅∠5 1. given 2. …
2. Vertical - angles are congruent; 4. Corresponding angles postulate
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5. given: ∠1 is supplementary to ∠2 ∠3 is supplementary to ∠2 prove: m∠…
The proof is completed as shown above. For the second part about angle - bisectors: