幾何
三角形、円、座標幾何、証明問題。
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use pascals triangle to complete the expansion of $(w + x)^{6}$. $w^{6}…
The first blank is \(6\), the second blank is \(15\).
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use pascals triangle to complete the expansion of $(v + w)^{3}$. $v^{3}…
The first blank is \(1\) and the second blank is \(3\). So the expansion is \(1v^{3}+3v^{2}w + 3vw^{2}+w^{3}\)
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use pascals triangle to complete the expansion of $(r + s)^4$. $r^{4}+4…
The coefficient is \(4\) and the exponent is \(3\).
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use pascals triangle to complete the expansion of $(q - r)^{5}$. $q^{5}…
\(-10\)
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which diagram shows lines that must be parallel lines cut by a transver…
The first diagram (the one with \(115^{\circ}\) and \(65^{\circ}\) as same - side interior angles) shows lines that must be parallel lines cut by a transversal.
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two parallel lines are crossed by a transversal. what is the value of y…
\( y = 80 \)
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the given line segment has a midpoint at (3, 1). what is the equation, …
\(y=\frac{1}{3}x\) (the first option)
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use the graph of the parabola to fill in the table. (a) does the parabo…
(a) upward (b) \(x\) - intercept(s): \(3\); \(y\) - intercept(s): \(5\) (c) vertex: \((3,0)\) (d) equation of axis of symmetry: \(x = 3\)
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which point is on the line that passes through point z and is perpendic…
\((4,4)\)
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consider the diagram. lines ac and rs can best be described as intersec…
skew
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a pipe cleaner lay across a wire shelf. the wires that make up the shel…
They are same - side interior angles, so angle 3 measures \(50^{\circ}\).
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which two triangles are congruent? complete the congruence statement.
\(\triangle UWV\cong\triangle SRQ\)
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in the diagram, the length of segment qv is 15 units. what is the lengt…
# Explanation: ## Step1: Find the value of \(x\) Since \(SR\) is the perpendicular bisector of \(TQ\), \(ST = SQ\) and \(VT=VQ\). So, \(3x + 2=4x - 1\). Subtract \(3x\) from both …
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what is the missing reason in the proof?
transitive property of congruence
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a company manufactures aluminum mailboxes in the shape of a box with a …
\(1949\)
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find the surface area of a cylinder with a height of 5 ft and a base ra…
\(150.72\space ft^{2}\)
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find the surface area of a cylinder with a height of 8 ft and a base di…
\(125.6\mathrm{ft}^{2}\)
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which angles are adjacent angles? \\( \\angle efc \\) and \\( \\angle e…
$\angle EFC$ and $\angle BCF$
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find the surface area of this triangular prism. be sure to include the …
$1800m^{2}$
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find the surface area of this triangular prism. be sure to include the …
\(390m^{2}\)
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find the surface area of this triangular prism. be sure to include the …
\(240m^{2}\)
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a company is going to make a storage container with sheet steel walls. …
\(3060\)
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which angles are consecutive interior angles? ∠klo and ∠pol ∠klj and ∠n…
\(\angle KLO\) and \(\angle POL\)
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ivan built a large wooden storage box. the box was in the shape of a re…
\(3\)
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find the surface area of this rectangular prism. be sure to include the…
\(118\space m^{2}\)
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kites and trapezoids hw #1 given kite abcd, in which an = 3.9 m, what i…
\(AC = 7.8\) m
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find the surface area of a cylinder with a height of 9 m and a base rad…
\(565.2m^{2}\)
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which point is on the line that passes through point r and is perpendic…
\((-4,-8)\)
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which angles are alternate exterior angles? ∠mnq and ∠pqn ∠pqs and ∠rqs…
\(\angle ONL\) and \(\angle PQS\)
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an empty swimming pool needs to be filled to the top. the pool is shape…
\(8\) hours (rounded to the nearest hour)
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a company makes steel rods shaped like cylinders. each rod has a diamet…
\(81\)
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two parallel lines are crossed by a transversal. what is the value of m…
\(m = 78\) (i.e., the second option \(m = 78\))
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a grain silo has a cylindrical shape. its radius is 7 ft, and its heigh…
\(4462\) \(ft^{3}\)
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a factory makes bottled cologne. each bottle is in the shape of a trian…
\(40\)
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find the volume of this triangular prism. be sure to include the correc…
\(75\text{ in}^3\)
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solve for x. 7) 6x + 4 50°
\(x = 6\)
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the radius, r, of a sphere is 4.6 m. calculate the spheres volume, v. u…
\(407.5\)
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given: e || f and g is a transversal prove: ∠1 ≅ ∠8 given that e || f a…
vertical angles theorem
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which angles are vertical angles? ∠qps and ∠opn ∠qpn and ∠rsp ∠tsp and …
\(\angle TSP\) and \(\angle OPN\)
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what must be the value of x so that lines c and d are parallel lines cu…
12
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statements reasons 1. ( g parallel h ) 1. given 2. ( angle 1 cong angle…
converse of the corresponding angles theorem
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which angles are alternate interior angles? ∠tus and ∠tux ∠yxz and ∠yxu…
\(\angle VUS\) and \(\angle TUX\)
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two parallel lines, e and f, are crossed by two transversals. what is t…
\(m\angle15 = 83^{\circ}\) (the second option)
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level: basic find the measure of angle 3. label optional
\(60\)
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current skill $ rectangle pnjb is similar to rectangle hczt which propo…
\(\frac{TZ}{HT}=\frac{JB}{BP}\) (the fourth option)
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square vwxy circumscribes circle z. find the area of the shaded region.…
\(55.0\)
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current skill $\\$ triangle npq was dilated to form triangle tuv. note:…
\(2\)
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rectangle efgh was dilated with the origin as the center of dilation to…
\(\frac{1}{2}\)
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rectangle rbpc is similar to rectangle xlsq which proportion shows the …
\(\frac{10.1}{6.06}=\frac{25.6}{15.36}\)
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given circles d and e below. find the area of the shaded region. round …
\(37.7\)
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question 10 of 10 what angle measure does a semicircle have? a. 180° b.…
A. \(180^{\circ}\)
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trapezoid nxqh is similar to trapezoid srgd which proportion does not s…
\(\frac{13.02}{21.7}=\frac{21.7}{25.7}\) (the third option) does not show the similarity between the two trapezoids.
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question 9 of 10 given o below, is efg a minor arc, a major arc, or a s…
B. Major arc
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question 2 of 10 given \\( \\odot o \\) below, is \\( \\overparen{p q} …
B. Semicircle
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current skill $\\triangle lvt\\sim\\triangle nbj$ which proportion show…
\(\frac{VL}{BN}=\frac{TL}{LV}\)
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question 7 of 10 an arc that lies between the two sides of a central an…
C. minor arc
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question 6 of 10 the _____ of a central angle are two radii of the circ…
A. sides
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δkgt ~ δnvm which proportion does not show the similarity between these…
\(\frac{11.9}{21.42}=\frac{21.78}{12.1}\)
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find the slope of the line graphed below.
\(3\)
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△jtb ~ △qsc which proportion shows the similarity between these two fig…
\(\frac{JB}{BT}=\frac{QS}{QC}\)
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these rectangles are similar. which proportion shows the correct relati…
\(\frac{30}{12}=\frac{10}{4}\) (the first option)
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given the information in the diagram, which theorem best justifies why …
converse of the same side interior angles theorem
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these triangles are similar. for each proportion listed below, determin…
- \(\frac{45}{55}=\frac{9}{11}\): Represents - \(\frac{45}{9}=\frac{55}{11}\): Represents - \(\frac{55}{45}=\frac{45}{9}\): Does Not Represent
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what is the measure of \\( \\overparen { a t } \\) in \\( \\odot o \\) …
D. \(97^{\circ}\)
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what is the measure of (overparen{acb}) in (odot o) below? a. (150^{cir…
C. \(330^{\circ}\)
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these rectangles are similar. which proportion does not show the correc…
$\frac{KL}{QP}=\frac{NP}{NR}$
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question 3 of 10 a central angle of a circle is an angle whose vertex i…
B. False
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question 1 of 10 an arc whose measure is greater than 180° is called a …
C. major arc
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which points lie on the line that passes through point p and is paralle…
# Explanation: ## Step1: Find the slope of the given line Let's take two points on the given line, say \((2,0)\) and \((3,2)\). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1…
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the following is true for two triangles: def ~ abc. identify the true s…
\(\overline{BC}\sim\overline{EF}\), \(\overline{FD}\sim\overline{CA}\)
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square abcd is similar to square efgh. which side corresponds to \\( \\…
\(\overline{HE}\)
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question 5 given graph represents the equation of the line ( 3x + 5y = …
\(\sqrt{34}\)
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find the measures of all the angles in the rectangle.
\(\angle1 = 68^{\circ}\), \(\angle2 = 90^{\circ}\), \(\angle3 = 68^{\circ}\), \(\angle4 = 22^{\circ}\), \(\angle5 = 90^{\circ}\)
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evaluate the six trigonometric function of $\\theta$. (hint: sketch the…
\(\sin\theta = 0\), \(\csc\theta=\text{DNE}\), \(\cos\theta = 1\), \(\sec\theta=1\), \(\tan\theta = 0\), \(\cot\theta=\text{DNE}\)
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what is the value of x?
\(8\)
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kari is going to eat a round lollipop that has a radius of 17 millimete…
\(907.92\)
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at the rodeo, the bronco riding event takes place in a large dirt ring …
16
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at carlys laundromat, the circular opening of a washing machine has a r…
\(2\)
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current skill find the measure of angle 5. label optional
\(88^{\circ}\)
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when isabelle won a contest, she got a bronze medal with a radius of 12…
\(452.39\)
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question 10 of 10 the blue segment below is a radius of ( odot o ). wha…
A. 21.2 units
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the saucer for sofias teacup has a radius of 3 centimeters. what is the…
\(28.27\)
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question 9 of 10 which of the following segments is a diameter of ○ o?
B. \(\overline{UF}\)
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a tepee has a circular floor with a radius of 6 feet. what is the floor…
\(113.10\)
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question 8 of 10 the blue segment below is a radius of ⊙o. what is the …
D. 14.6 units
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find the measures of the following angles in the rectangle. m∠1= m∠2= m…
\(m\angle1 = 21^{\circ}\), \(m\angle2 = 69^{\circ}\), \(m\angle3 = 21^{\circ}\), \(m\angle4 = 69^{\circ}\), \(m\angle5 = 42^{\circ}\)
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a football team stood in a circle before a game to plan their strategy.…
\(6.28\)
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question 7 of 10 the blue segment below is a diameter of o. what is the…
B. 3.85 units
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question 5 of 10 the chord \\( \\overline { c e } \\) is a diameter of …
A. True
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the round base of a copper tea kettle has a diameter of 18 centimeters.…
\(56.55\)
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given circles v and w below. find the area of the shaded region. round …
\(763.0\)
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a tepee has a circular floor with a diameter of 4 meters. what is the f…
\(2\)
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the area of a circle is 100π m². what is the circumference, in meters? …
\(20\pi\)
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question 4 of 10 what is another name for a chord that passes through t…
A. Diameter
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question: 11 triangle flr is similar to triangle mbt. select all angles…
E. \(\angle R\), F. \(\angle T\)
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question 3 of 10 the blue segment below is a diameter of o. what is the…
A. 3.7 units
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question 2 of 10 which best describes the diameter of a circle? a. the …
C. The distance across the middle of the circle
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which rule explains why these triangles are congruent? sss asa aas sas …
AAS
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the radius of a circle is 18 cm. find its area in terms of π.
\(324\pi\) \(cm^{2}\)
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which two triangles are congruent? complete the congruence statement.
\( \triangle TSU\cong\triangle EGF \)