几何
三角形、圆、解析几何与证明题。
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12. a 24 - foot - high flagpole casts a 16 - foot shadow. what would a …
30 feet
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write a justification for each step, given that m∠1 + m∠2 = 90° and m∠2…
1. Given, 2. Trans. Prop. of =, 3. Subtr. Prop. of =
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find the distance between the points (9, 3) and (3, 0). write your answ…
$3\sqrt{5}$
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write a paragraph proof for this two - column proof. given: $overline{a…
It is given that line segments AC and DC are congruent, as well as line segments AB and DE. So, by the definition of congruence, the lengths of line segments AC and DC are equal, …
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find the distance between the points (-1, 7) and (4, 6). write your ans…
$\sqrt{26}$
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what is the y - intercept of the line graphed below? 3 -3 4/3 4
3
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find the distance between the points (4, 3) and (1, 5). write your answ…
$\sqrt{13}$
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find the distance between the points (5, 7) and (6, 0). write your answ…
$5\sqrt{2}$
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find the distance between the points (-10, -5) and (-6, 0). write your …
$\sqrt{41}$
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find the distance between the points (8, 9) and (10, 1). write your ans…
$2\sqrt{17}$
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find the distance between the points (-9, 7) and (0, 0). write your ans…
$\sqrt{130}$
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find the distance between the points (2, 1) and (5, 5). write your answ…
5
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7. triangle abc is similar to triangle jkl. the triangles are not drawn…
15
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for the following right triangle, find the side length x.
41
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for the following right triangle, find the side length x.
37
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a clock tower is on a bearing of 300° from thomas. he turns to face the…
$65^{\circ}$
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ms. romano draws figures a and a on the board. a. are figures a and a s…
a. Yes, because a dilation produces similar figures. b. Marcus may have mis - calculated the scale factor. To find the correct scale factor, measure the distances from the center …
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what is the measure of arc ecf in circle g? 52° 98° 158° 177°
$98^{\circ}$
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lesson 2: practice problems problem 3 describe a rigid transformation t…
First, translate one triangle so that a vertex coincides with the corresponding vertex of the other triangle. Then, rotate the translated triangle around the coincided vertex to m…
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give one pair of vertical angles and one pair of supplementary angles s…
(a) Vertical angles: ∠1 and ∠6 (b) Supplementary angles: ∠1 and ∠2
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give one pair of vertical angles and one pair of supplementary angles s…
(a) $\angle2$ and $\angle4$ (b) $\angle1$ and $\angle2$
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in the figure below, n is between m and o, and o is between n and p. if…
3
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find the distance between each point and round to the nearest tenth if …
$5$
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5. calculate each square root to one decimal place. choose one of your …
### 5a. # Explanation: ## Step1: Find two perfect - squares around 18 We know that $4^2 = 16$ and $5^2=25$. ## Step2: Estimate the square - root Since 18 is closer to 16 than 25, …
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horizontal distance, or the value of $\frac{vertical distance}{horizont…
$\frac{8}{9}$
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next, find the change in vertical and horizontal distance from (3, 6) t…
Horizontal distance: 9, Vertical distance: 8
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in the figure below, (mangle2 = 83^{circ}). find (mangle1), (mangle3), …
$m\angle1 = 97^{\circ}$ $m\angle3 = 97^{\circ}$ $m\angle4 = 83^{\circ}$
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we can use point a to help us find the change in vertical and horizonta…
(12, 6)
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what is the slope of line j? thats how much the vertical distance incre…
$\frac{4}{3}$
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solve for x. (10x + 38)° (2x + 34)° x =
\(x =-\frac{1}{2}\)
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in the figure below, m∠3 = 132°. find m∠1, m∠2, and m∠4.
$m\angle1 = 132^{\circ}$ $m\angle2 = 48^{\circ}$ $m\angle4 = 48^{\circ}$
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next, find the change in vertical and horizontal distance from (4, 6) t…
Horizontal distance: 6, Vertical distance: 5
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in the figure below, m∠4 = 51°. find m∠1, m∠2, and m∠3.
$m\angle1 = 129^{\circ}$ $m\angle2 = 51^{\circ}$ $m\angle3 = 129^{\circ}$
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find the measure of ∠gmj. m∠gmj =
\(107\)
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next, find the change in vertical and horizontal distance from (3, 5) t…
Horizontal distance: 8, Vertical distance: 7
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we can use point a to help us find the change in vertical and horizonta…
(11, 5)
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find the measure of ∠mpq. m∠mpq =
$48$
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find the measure of ∠mon. m∠mon =
$102$
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solve for x. j (10x - 26)° k (7x + 7)° x =
11
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find the measure of ∠lnh. m∠lnh = □°
$74$
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find the measure of ∠gjk. m∠gjk =
$150$
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find the measure of ∠qtu. m∠qtu =
$68$
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as you read circle key words that tell how malls are different today. m…
1. C. People can find what they want online. 2. C. entertainment
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explore special parallelograms by following these steps. 1. move vertex…
The diagonals are congruent.
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solve for x. (15x - 8)° (128 - 3x)° x =
\(x = 5\)
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solve for x.
$40$
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28. find the length of a side of a square whose diago-nal is 16 cm long…
$11.3$ cm
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score: 9/13 answered: 12/13 question 13 the point (5, 7) lies on the te…
$\frac{5}{\sqrt{74}}$
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in the figure shown below, a line segment x connects the center of a sq…
C. \(8\sqrt{2}\)
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question 11 a recent spike of bigfoot sightings in the adirondacks has …
\(\sqrt{6^{2}+4^{2}-2(6)(4)\cos66^{\circ}}\)
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meredith likes to walk to work. her office and home are both on pioneer…
2.5 km
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from a hot air balloon, the angle between a radio antenna straight belo…
$\frac{1.3}{\cos(57^{\circ})}$
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question 9 for the right triangle shown below, which of the following i…
$\sqrt{x^{2}-16}$
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24. find the distance from r to s on the graph. round to the nearest te…
5
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what is the length of the hypotenuse of a right triangle with legs that…
C. \(\sqrt{97}\)
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in the right triangle shown below, one of the interior angles is equal …
$\frac{b}{\sqrt{a^{2}+b^{2}}}$ (the second option in the multiple - choice list)
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in parallelogram pqsr, what is pq? 2 cm 5 cm 6 cm 9 cm
In a parallelogram, opposite - sides are equal. So, \(PQ = SR\). Set \(2x + 5=4x + 1\). \(4x-2x=5 - 1\). \(2x = 4\), \(x = 2\). Substitute \(x = 2\) into the expression for \(PQ\)…
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the design for a certain stained - glass window calls for a circle insc…
E. 23.5
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5. use the diagram below to answer parts i, ii, and iii. triangle abc i…
$8$ cm
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which single transformation maps figure abcd onto its image? choose all…
Translate 6 units to the right.
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in parallelogram lmno, what are the values of x and y? o x = 11, y = 14…
In a parallelogram, opposite - angles are equal. So, \(2x=3x - 55\). Solve for \(x\): \[ \begin{align*} 3x-2x&=55\\ x&=55 \end{align*} \] Also, adjacent - angles are supplementary…
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in the triangular prism shown below, which lines are intersecting? jm a…
$\overrightarrow{JL}$ and $\overrightarrow{KL}$
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the perimeter of parallelogram wxyz is 50 millimeters. what is wz? 2 mm…
A. 2 mm
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in the rectangular prism shown below, which lines are skew? tm and mn i…
$\overline{LM}$ and $\overline{KO}$
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in the square pyramid shown below, which lines are skew? (overrightarro…
$\overleftrightarrow{GJ}$ and $\overleftrightarrow{FI}$
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the angle measurements in the diagram are represented by the following …
30°
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as you read, do you wonder what the author is trying to tell you in the…
Central Idea: Paleontologists help us learn about dinosaurs and our past. Supporting Detail 1: The dinosaur bones show the shapes of creatures from the past. Supporting Detail 2: …
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20. a yardstick held vertically on level ground casts a shadow 16 in. l…
$4\sqrt{97}\approx39.4$ inches
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in the square pyramid shown below, which lines are skew? fg and fi gj a…
$\overrightarrow{GJ}$ and $\overrightarrow{FI}$
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solve the inequality and graph the solution. 1 < \\frac{a - 1}{4} to dr…
The solution of the inequality is \(d>0\). On the number - line, plot an open circle at \(d = 0\) and draw a ray pointing to the right.
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what is the measure of angle l in parallelogram lmno? 20° 30° 40° 50°
\(40^{\circ}\)
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fencing a diagonal brace strengthens the wire fence and prevents it fro…
50
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given ad = bc and ad || bc. prove: abcd is a parallelogram. statements:…
Since one pair of opposite sides (\(AD\) and \(BC\)) of quadrilateral \(ABCD\) is both parallel and congruent, \(ABCD\) is a parallelogram.
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a rectangle is inscribed in a circle such that the side lengths are 1.4…
23.6
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the perimeter of parallelogram pqsr is 74 cm. what is qs? 4 cm 6 cm 8 c…
B. 6 cm
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find the value of the variable(s) in each figure. (9x + 12)° 3x° (4y - …
$x = 2$ $y = 10$
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in parallelogram lmno, what is the measure of angle n? (2x + 10)° (x + …
$110^{\circ}$
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3.2 hw: angles and parallel lines with algebra in the figure, m∠2 = 92 …
88
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in the figure, (mangle2 = 92) and (mangle12 = 74). the measure of (angl…
88
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5.the base of a triangle is $\frac{2x^{2}+5x - 3}{x^{2}-x - 12}$ and th…
$\frac{x + 1}{2(x - 4)}$
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the angle measurements in the diagram are represented by the following …
$x = 6$, $\angle A=\angle B = 126^{\circ}$
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in the cube shown below, which planes intersect? ghk and gjk gjk and hi…
GHK and GJK, GJK and HIL
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quadrilateral rstu has one pair of opposite parallel sides and one pair…
It cannot be determined from the information given.
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in the rectangular prism shown below, which lines are parallel? jm and …
$\overline{KL}$ and $\overline{FG}$
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① use substitution to match these solutions to their equations. (7, 36,…
1. $a = 12$, $b = 36$, $c = 7$ 2. $h + 7$ 3. Statistical 4. Graph the polygon with vertices $(1,2),(7,2),(3,5),(9,5)$ 5. Graph the polygon with vertices $(2, - 7),(5, - 3),(9, - 3…
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in the rectangular prism shown below, which planes are parallel? bcd an…
BCF and FGH
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in the rectangular prism shown below, which planes intersect? mpq and n…
MNQ and QRS
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in the square pyramid shown below, which lines are intersecting? (overr…
$\overrightarrow{DG}$ and $\overrightarrow{FG}$
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in the cube shown below, which lines are intersecting? bf and de cd and…
$\overrightarrow{CD}$ and $\overrightarrow{DE}$
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in the square pyramid shown below, which lines are parallel? select all…
\(\overrightarrow{PQ}\) and \(\overrightarrow{RS}\)
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given quadrilateral mnol with mn ≅ lo and ml ≅ no. prove mnol is a para…
The blanks should be filled as follows: $\triangle NOM$; $\angle NOM$; alternate interior angles.
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in circle o, $overline{rt}$ and $overline{su}$ are diameters. if $mwide…
$52^{\circ}$
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in the triangular prism shown below, which lines are skew? or and op no…
$\overrightarrow{RS}$ and $\overrightarrow{NQ}$
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in quadrilateral lmno, lo || mn. what additional information would be s…
$\overline{ML}\parallel\overline{NO}$
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answer attempt 1 out of 3 answer: m∠abc = ° submit answer
$100$
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in circle o, rt and su are diameters. if mrv = mvu, what is mvu? 47° 52…
$52^{\circ}$
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the measure of bac is 240. what is the ratio of the measure of the majo…
C. 2:1
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given rw = wt, uw = ws. prove rstu is a parallelogram. identify the ste…
3. Vertical angles are congruent. 4. SAS (Side - Angle - Side) 5. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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which is true regarding chords and diameters of circles? both chords an…
A. Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.
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in the cube shown below, which lines are intersecting? st and mp nr and…
$\overleftrightarrow{NR}$ and $\overleftrightarrow{RS}$