幾何
三角形、円、座標幾何、証明問題。
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how many lateral faces does a decagonal prism have? explain. there are …
There are 10 lateral faces because a decagonal prism has a decagon as its base and the number of lateral faces of a prism is equal to the number of sides of its base - polygon.
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given the prism shown to the right, name the following a. vertices b. e…
a. B, C, Q, O, D, R b. $\overline{BC}$, $\overline{CQ}$, $\overline{BQ}$, $\overline{OD}$, $\overline{DR}$, $\overline{OR}$, $\overline{BO}$, $\overline{CD}$, $\overline{QR}$ c. f…
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9 caroline know the height and the required volume of a cone - shaped v…
B. $r = \sqrt{\frac{3V}{\pi h}}$
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given the prism shown to the right, name the following a. vertices b. e…
a. O, B, C, D, Q, R b. OB, BC, CD, DO, OQ, QR, RB, BQ, CQ, DR c. $\triangle$OBC, $\triangle$OCD, $\triangle$ODR, $\triangle$OBR, $\triangle$BCQ, $\triangle$DQR, quadrilateral OBCD…
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given the prism shown to the right, name the following a. vertices b. e…
a. Vertices: O, B, C, D, Q, R b. Edges: $\overline{OB}$, $\overline{BC}$, $\overline{CO}$, $\overline{OD}$, $\overline{DQ}$, $\overline{QR}$, $\overline{RO}$, $\overline{BQ}$, $\o…
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which pair of angles is complementary?
The pair of angles with measures 56° and 34° is complementary.
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given the prism shown to the right, name the following a. vertices b. e…
a. B, C, Q, D, O, R b. $\overline{BO}$, $\overline{OR}$, $\overline{BR}$, $\overline{BC}$, $\overline{CQ}$, $\overline{BQ}$, $\overline{OD}$, $\overline{DR}$, $\overline{QR}$, $\o…
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for each pair of figures below, choose how they are related. translatio…
First pair: Rotation Second pair: Rotation Third pair: Reflection Fourth pair: Rotation
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5. the target at right is made of three concentric circles, with their …
a. \(\frac{8}{9}\) b. \(\frac{5}{9}\) c. \(\frac{8}{9}\) 6. \(\frac{1}{2}\) Challenge 1. \(1-\frac{3\sqrt{3}}{2\pi}\) Challenge 2. \(1\)
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given the prism shown to the right, name the following. a. vertices b. …
a. B, C, Q, D, O, R b. $\overline{BC},\overline{CQ},\overline{BQ},\overline{BD},\overline{DO},\overline{OQ},\overline{QR},\overline{DR},\overline{OD},\overline{OB},\overline{OC}$ …
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identifying linear pairs which are linear pairs? ∠bac and ∠cae ∠cae and…
∠BAC and ∠CAE; ∠FAD and ∠EAD
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for the figure, find v + f - e, where v, e, and f stand, respectively, …
$2$
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the right hexagonal prism shown to the right has regular hexagons as ba…
a. Pairs of parallel lateral faces: quadrilaterals $AA'B'B$ and $DD'E'E$, quadrilaterals $BB'C'C$ and $EE'F'F$, quadrilaterals $CC'D'D$ and $FF'A'A$. b. D. The measure of the angl…
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in the figure shown, m || n. if m∠1=(5x + 8)° and m∠8 = 122°, determine…
Since \(m\parallel n\), \(\angle1\) and \(\angle8\) are alternate - exterior angles. So \(5x + 8=122\), solving for \(x\) gives \(x = 22.8\). \(m\angle1=(5\times22.8 + 8)^{\circ}=…
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the right hexagonal prism shown to the right has regular hexagons as ba…
A. The following faces are parallel: quadrilaterals AFF'A' and DCC'D'; quadrilaterals BAA'B' and EDD'E'; quadrilaterals CBB'C' and FEE'F'
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the figure on the right represents a card attached to a wire. determine…
C. Cylinder
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sketch a pyramid that is a hexahedron (six faces). choose the correct a…
C.
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the base of a prism has n sides. a. how many lateral faces does it have…
a. \(n\) b. \(n + 2\)
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determine the measures of ∠l and ∠m.
\(\angle L = 90^{\circ}\), \(\angle M = 45^{\circ}\)
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how many possible pairs of bases are there in a heptagonal prism? expla…
There is 1 possible pair of bases because only 2 bases lie in parallel planes.
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how many possible pairs of bases are there in a heptagonal prism? expla…
is 1 possible pair
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a rectangle has a height of $k^{2}+3$ and a width of $k^{2}+7$. express…
$k^{4}+10k^{2}+21$
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given the tetrahedron shown, name the vertices, the edges, the faces, t…
The intersection of face QVJ and edge CJ is J. The intersection of face QVJ and face QCV is QV.
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a rectangle has a height of x + 9 and a width of x^2 + 2x. express the …
$x^{3}+11x^{2}+18x$
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given: m∠edf = 120°; m∠adb=(3x)°; m∠bdc=(2x)° prove: x = 24 what is the…
vertical angles are congruent
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a rectangle has a height of $x + 4$ and a width of $x^{2}+3x + 2$. expr…
$x^{3}+7x^{2}+14x + 8$
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given: m∠ade = 60° and m∠cdf=(3x + 15)° prove: x = 15 what is the missi…
Statement: $60 = 3x + 15$; Reason: substitution
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given: m∠orp = 80° m∠orn=(3x + 10)° prove: x = 30 which statement could…
$\angle ORP$ and $\angle ORN$ are a linear pair
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marcus states that angle orp and angle lrp are a linear pair. which bes…
He is incorrect. Ray RO and ray RL are not opposite rays.
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what is m∠mhj? 35° 50° 72.5° 92.5° (2x - 20)° (x + 15)° m h k l j
$50^{\circ}$
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given the tetrahedron shown, name the vertices, the edges, the faces, t…
Vertices: Q, C, V, J; Edges: QC, QV, QJ, CV, CJ, VJ; Faces: QCV, QVJ, QCJ, CVJ; Intersection of face QVJ and edge CJ: J; Intersection of face QVJ and face QCV: QV
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which are vertical angles? ∠afe and ∠bfd ∠bfc and ∠dfe ∠afe and ∠cfd ∠b…
∠BFC and ∠DFE
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identify the polyhedron. choose the correct answer below. a. truncated …
A. Truncated cube
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what is the value of x? 20 35 60 70
A. 20
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in the diagram, which angles are vertical angles? select two options. ∠…
∠ABE and ∠CBD, ∠ABC and ∠EBD
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multiply binomials by polynomials: area model a rectangle has a height …
$2y^{5}+12y^{4}+5y^{2}+30y$
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which pair of angles are vertical angles? ∠wru and ∠srt ∠wrs and ∠vrt ∠…
∠WRS and ∠VRT
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in which diagram are angles 1 and 2 vertical angles?
The first diagram.
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finding unknown angle measures what is the measure of ∠dae? 45° 46° 91°…
$46^{\circ}$
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6.) prove that c is on the perpendicular bisector of segment ab.
We need to show that the distance from \(C\) to \(A\) is equal to the distance from \(C\) to \(B\) (i.e., \(CA = CB\)) using distance formula or triangle - congruence criteria. If…
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4) give an example of an irrational number____ 5) simplify: 8÷(6 - 4) 6…
4) $\pi$ 5) 4 6) 8 7) The correct answer is 1. The error was in not solving the innermost parentheses first. 8) 15 9) 12
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when you do the lcm method, you actually get to practice another math s…
Times Tables (multiplication facts)
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5) given (a(-3,8)), find the coordinates of the point (b) such that (c(…
$(13,-28)$
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practice a suffix is a syllable or group of syllables added to the end …
## Part A 1. negligence; His negligence led to the failure of the project. 2. detestable; His behavior is detestable. 3. responsibility; She takes on the responsibility of running…
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the side - length of a square is $sqrt{14}$ units. what is the area of …
C. 14 square units
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here is an equation y = 6x + 2. what form of linear equation is this eq…
- Form: Slope - intercept form - a) Slope $m = 6$ - b) Y - intercept $y = 2$ - c) X - intercept $x=-\frac{1}{3}$
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9. right - angle abc is shown. bd is inside ∠abc. m∠abd = 43°. a. use t…
\(x = 17\)
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in right triangle abc,m∠a = 30° and m∠b = 90°. which of the following a…
B. II and IV
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a florist makes a string of flowers along a pole and ties it at a point…
Approximately 19.1 feet
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1.4.3 quiz: solving problems with right triangles: mastery test solve t…
A. $m\angle D = 55^{\circ},DE\approx8.40$ units,$DF\approx14.65$ units
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1.23 quiz: special right triangles: mastery test rounded to the nearest…
B. 54.6 cm
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what is the value of x in the triangle? a. 4 b. 2 c. 4√2 d. 2√2
D. $2\sqrt{2}$
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janet is fencing a triangular portion of her yard, which has measuremen…
A. 241 ft
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1.2.3 quiz: special right triangles: mastery test a model of stevens ho…
C. 1976 square feet
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in right triangle abc, ∠b is the right angle and m∠c = 30°. if ac = 10,…
A. 5
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which number line shows the inequality n > -3?
The number - line with an open circle at - 3 and an arrow pointing to the right shows the inequality $n > - 3$.
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a rectangle has an area of 18 square centimeters. which of the followin…
A. 1 cm and 18 cm B. 2 cm and 9 cm C. 3 cm and 6 cm
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a rectangle has an area of 81 square centimeters. which of the followin…
A. 1 cm and 81 cm, B. 3 cm and 27 cm, D. 9 cm and 9 cm
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the equation of the line is: the equation of the line is:
$y=-1$ $x = 5$
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the length of a rectangle is 1 less than twice the width. the area of t…
The equation representing the situation is $2w^{2}-w - 28 = 0$. The length of the rectangle is 7 feet.
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give the equation for each graph.
The equation for the first graph is $y = - 2$. The equation for the second graph is $x=-4$.
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question 18 of 30 approximately what portion of the box is shaded blue?…
C. $\frac{1}{6}$
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for △fgh, shown below, which of the following is an expression for y in…
E. $\sqrt{x^{2}+16}$
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what has an eccentricity of zero? a straight line, a large ellipse, a c…
C. a circle
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which of the following most accurately identifies the types of extrema …
There is one relative maximum and one relative minimum.
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4.15.2 test (cst): fractions approximately what portion of the circle i…
B. $\frac{1}{2}$
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which triangle is similar to triangle fgh? * not drawn to scale
# Explanation: ## Step1: Recall similarity - ratio rule For two triangles to be similar, the ratios of their corresponding sides must be equal. In triangle FGH, if we assume the s…
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10. circle the irrational number in the list 7.27 $\frac{5}{9}$ $sqrt{1…
$\sqrt{15}$
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hatties grandma has baked a cake, as shown in the picture, for hattie a…
$81$
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background research who was tupac shakur? how does starr feel about bei…
1. Tupac Shakur was an American rapper, actor, and activist. 2. Starr feels she shouldn't have come to the party. 3. Could be due to being in a different social - circle or not be…
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2. in the construction, a is the center of one circle, and b is the cen…
A. segment AC
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a student constructs a line tangent to circle o at point p on the circl…
B. Step 2: Set the compass on \(O\), not \(P\)
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4. this diagram was created by starting with points c and d and using o…
B. Construct a circle centered at C, C. Construct a circle centered at D, D. Label the intersection points of the circles A and B, E. Draw the line through points C and D, F. Draw…
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let w = width and 4 + w = length. which equation represents the situati…
The equation representing the situation (assuming area \(A\)) is \(A=w(4 + w)\) (or if \(A = 60\), \(w^{2}+4w-60 = 0\)). The factored form for zero - product property application …
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gianna is constructing a circle that passes through all three vertices …
D. outside the triangle
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the length of a rectangle is 4 more than the width. the area of the rec…
10 yards
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quadrilateral jklm is inscribed in a circle. quadrilateral jklms angles…
C. angle M
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the length of a rectangle is 4 more than the width. the area of the rec…
10 yards
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select the correct answer from each drop - down menu. consider triangle…
The center of the circumscribed circle of the triangle lies on segment AC, which is the diameter of the circle.
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the length of a rectangle is 4 more than the width. the area of the rec…
10 yards
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in the diagram, p1p2 and q1q2 are the perpendicular bisectors of ab and…
The center of the inscribed circle of \(\triangle ABC\) is point \(P\), and the center of the circumscribed circle of \(\triangle ABC\) is point \(R\)
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4. which of the following is not a polygon? triangle rectangle circle p…
C. Circle
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3. what is the shape shown? a concave hexagon a convex nonagon a concav…
A. A concave hexagon
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2. name the types of polygons in the picture. rectangle, square, octago…
A. rectangle, square, octagon, square, rectangle
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1. what type of quadrilateral is shown (choose the most specific answer…
C. Parallelogram
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the length of a rectangle is 4 more than the width. the area of the rec…
$2 + 2\sqrt{5}$
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which graph represents the solution set of the compound inequality? -5 …
The graph with an open circle at - 1, an open circle at 6, and a line segment between them.
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identifying vertical angles which is a pair of vertical angles? ∠vru an…
∠TRV and ∠WRU
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midpoint and distance formulas find the midpoint of the line segment wi…
$(-0.5,0.5)$ ### 2. For endpoints $(-1,0)$ and $(-3,-4)$
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which angles are linear pairs? check all that apply. ∠srt and ∠trv ∠srt…
∠SRT and ∠TRU, ∠VRW and ∠WRS
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3. starting with 2 marked points, a and b, precisely describe the strai…
1. Set compass width to AB. 2. Draw a circle centered at A. 3. Draw a circle centered at B (same width). 4. Select an intersection point as C. 5. Connect A to C and B to C with a …
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2. in this diagram, line segment cd is the perpendicular bisector of li…
Point \(E\) is closer to point \(A\).
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1. this diagram is a straightedge and compass construction. a is the ce…
A. Line \(CD\) is perpendicular to segment \(AB\) B. Point \(M\) is the midpoint of segment \(AB\) E. \(CB + BD>CD\)
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6. graph (h(x)=-2|x + 5|-3). 7. specify whether the vertex of (h(x)=-2|…
6. Plot the vertex at $(-5,-3)$ and additional points like $(-4,-5)$ and $(-6,-5)$ and draw the V - shaped graph opening down. 7. maximum 8. left; down; $x$; stretched
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solve for x. (56 - 5x)° (62 - 8x)° x =
$2$
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solve for x. x = save answer
$35$
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in the diagram, the length of the external portion of the secant segmen…
The length of the external portion of the secant segment $\overline{PN}$: $14$ The length of the entire secant segment $\overline{LN}$: $36$ The value of $x$: $14$
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the sum of the measures of complementary angles is 90°. the measure of …
x = 12, y = 55, z = 22, w = 9.6
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look at this diagram: if (overleftrightarrow{fh}) and (overleftrightarr…
$63$
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be is 2 units longer than ae, de is 5 units longer than ae, and ce is 1…
11