幾何
三角形、円、座標幾何、証明問題。
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20) (there is a right triangle abc with right angle at c, angle at b is…
Since the problem is about a right - angled triangle (angle \(C = 90^{\circ}\), \(AB = 5\space m\), \(\angle B=53^{\circ}\)) and we might want to find the lengths of other sides o…
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11. determine the value of x in the diagram. 40+30=70 180-70=110 x=110
\(x = 72^{\circ}\)
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find. trained dogs are content to track them, then leave them for the h…
1. d. ideal 2. b. bewitched 3. b. flamboyant 4. d. delightful 5. b. improve 6. c. trenchant
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11 practice 4 (from unit 6, lesson 2) b. $(x, y) \\to (y, x)$ type your…
(assuming \( A(2,1) \), \( B(4,3) \), \( C(1,4) \)): ## Part b: \( A' : (1, 2) \) \( B' : (3, 4) \) \( C' : (4, 1) \) ## Part c: \( A' : (3, 1.5) \) \( B' : (6, 4.5) \) \( C' : (1…
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consider triangle abc graphed here. here are some transformation rules.…
A: \((-2, 2)\) B: \((0, 1)\) C: \((-1, 4)\)
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consider triangle abc graphed here. here are some transformation rules.…
# Explanation: ## Step1: Identify Original Coordinates First, find the coordinates of \( A \), \( B \), \( C \) from the graph. - \( A \) is at \( (2, 3) \) - \( B \) is at \( (4,…
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complete this table, and determine the rule for this transformation. ty…
\((y, x)\)
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write a rule that describes the transformation represented in this tabl…
\((x - 1,-y)\)
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geometry, unit 8, lesson 11 reflect triangle abc over the line y = 8 tr…
\( A'=\boldsymbol{(-1,6)} \) \( B'=\boldsymbol{(-3,3)} \) \( C'=\boldsymbol{(1,4)} \) (Note: If the original points were mis - identified, let's re - check. Let's re - evaluate th…
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here are some transformation rules. for each rule, determine whether th…
1. Dilation (as per selected, but actually rigid motion—maybe problem's context). 2. Neither (different scaling factors). 3. Dilation (scaling by 3). 4. Rigid Motion (reflection).…
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there is a right triangle - related diagram (a triangle with a perpendi…
\( 6\sqrt{3} \) (or approximately \( 10.39 \))
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the circumference of a circle is 119.32 yards. what is the circles radi…
19.00
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the diameter of a circle is 16 meters. what is the circles circumferenc…
The circumference of the circle is \( 50.27 \) meters.
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the circumference of a circle is 12.56 feet. what is the circles diamet…
The diameter of the circle is 4 feet.
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the circumference of a circle is 100.48 kilometers. what is the circles…
The radius of the circle is 16 kilometers.
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circumference of circles ks7 the radius of a circle is 6 meters. what i…
The circumference of the circle is \( 12\pi \) meters (or approximately \( 37.68 \) meters).
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the circumference of a circle is 113.04 kilometers. what is the circles…
The radius of the circle is 18 kilometers.
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c. (a - 17) find the gradient of a straight line joining the points (-3…
\(\frac{5}{3}\)
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find square roots study the example showing how to find square roots. t…
To check, use the square - area formula \( A = s^2 \). For the \( 16 \, \text{ft}^2 \) quilt, \( 4^2 = 16 \), and for the \( 25 \, \text{ft}^2 \) quilt, \( 5^2 = 25 \), which matc…
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find the perimeter of a sector of a circle with radius 7cm which subten…
The perimeter of the sector is \(\boldsymbol{36\space\text{cm}}\).
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question find the y-intercept of the line represented by the equation b…
-3
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all possible solutions. 2. \\(\\begin{cases} y \\leq -\\dfrac{2}{3}x - …
### Problem 2: # Explanation: ## Step 1: Analyze \( y \leq -\frac{2}{3}x - 3 \) The inequality is in slope - intercept form \( y=mx + b \), where the slope \( m =-\frac{2}{3}\) an…
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3. \\begin{cases} 5x - 6y > 42 \\\\ 3x + 2y \\leq 14 \\end{cases}
To graph the system \(\begin{cases}5x - 6y>42\\3x + 2y\leq14\end{cases}\), we: 1. Graph \(y<\frac{5}{6}x - 7\) (dashed line, shade below). 2. Graph \(y\leq-\frac{3}{2}x + 7\) (sol…
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1. \\begin{cases} y > -2x + 5 \\\\ y \\leq x - 3 \\end{cases} (and some…
The solution region is the area that is above the dashed line \(y = - 2x+5\) and below the solid line \(y=x - 3\), with the intersection point at \((\frac{8}{3},-\frac{1}{3})\) (o…
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10. you are building a fence around your vegetable garden in your backy…
The total length of fencing needed is \( 34 \) feet \( 4 \) inches.
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7 you are using wire to make a model of the olympic symbol (5 interlock…
The length of wire needed is \( 350\pi \) cm (or approximately \( 1099 \) cm).
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6. what is the circumference of a circular fountain if its radius is 5.…
The circumference of the circular fountain is approximately \( 33.28\space m \) (or more precisely \( 10.6\pi\space m\approx33.284\space m \))
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3 darma is edging a tablecloth with lace. the tablecloth is 210 cm by 1…
780 cm
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questions 1. calculate the perimeter of a rectangle that has a width of…
The perimeter of the rectangle is \( 53.6 \) cm. ### Question 2:
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use the diagram of \\(\\square abcd\\) to find x. \\(x = \\square\\)
\( x = 8 \)
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brian sets up the distance formula to find the length, d, of the line s…
B. The point he chose to draw the legs of the triangle does not form a right angle.
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what is the coordinate of the midpoint of \\(\\overline{uv}\\)? u is at…
4.5
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bd is an angle bisector of ∠abc. find cd. a 9x + 3 b d c 6x + 21 cd = ?
45
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13.2: tangled triangles trace the 2 smaller triangles onto separate pie…
1. All three triangles are similar by AA similarity (corresponding angles equal). 2. Similarity statements: \( \triangle HEG\sim\triangle HEF\), \( \triangle FGE\sim\triangle HEF\…
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the measures of the angles of a triangle are shown in the figure below.…
\(103\)
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pythagorean theorem - worksheet for each triangle find the missing leng…
1. Missing length: \(\approx 8.5\); Area: \(\frac{1}{2} \times 17 \times 8.5 \approx 72.25\); Perimeter: \(17 + 8.5 + 19 \approx 44.5\) 2. Missing length: \(\approx 13.9\); Area: …
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 97\)
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the measures of the angles of a triangle are shown in the figure below.…
\(97\)
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name: pythagorean theorem - worksheet for each triangle find the missin…
1. Missing length: \(\approx 8.5\) (Area: \(\frac{1}{2}\times17\times8.5 = 72.25\), Perimeter: \(17 + 8.5 + 19 = 44.5\)) 2. Missing length: \(\approx 13.9\) (Area: \(\frac{1}{2}\t…
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the measures of the angles of a triangle are shown in the figure below.…
\(69\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 66\)
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which of the following sets of numbers could represent the three sides …
\(\{9, 13, 19\}\)
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question which of the following sets of numbers could represent the thr…
\(\{8, 15, 21\}\)
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ex. 1) what variable represents the hypotenuse? b) if p = 8 and r = 15 …
a) \(x = 10\) b) \(x\approx17.5\) c) \(x = 16\) d) \(x = 30\)
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question which of the following sets of numbers could not represent the…
\(\{4, 15, 21\}\)
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question which of the following sets of numbers could not represent the…
\(\{10, 14, 25\}\)
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question which of the following sets of numbers could not represent the…
\(\{10, 12, 24\}\)
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which of the following sets of numbers could represent the three sides …
\(\{14,27,40\}\)
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which of the following sets of numbers could not represent the three si…
\(\{11, 15, 28\}\) (because \(11 + 15 = 26<28\), violating the triangle inequality theorem)
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name: elijah.m date: 12-9-25 period: 6th unit 3 lesson 13: using the py…
### Question 1: - There are \(\boldsymbol{2}\) legs and \(\boldsymbol{1}\) hypotenuse. - The \(\boldsymbol{\text{legs}}\) meet at the right angle. - The \(\boldsymbol{\text{hypote…
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which of the following sets of numbers could represent the three sides …
\(\{12, 19, 29\}\)
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question which of the following sets of numbers could represent the thr…
\(\{14, 24, 36\}\)
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4. a wallpaper border (trim) is pasted on the wall. a) what is the tota…
### Part (a) # Explanation: ## Step1: Recall Perimeter Formula The wall is a rectangle with a gap. The perimeter of a rectangle is \( P = 2\times(\text{length}+\text{width}) \), t…
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this part of the quiz is not on the computer but you must do them for a…
\(y = 18\) ### Part 2: Find the scale factor
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lesson 23 | session 2 name practice locating positive and negative numb…
The opposite of -26 is 26. It is 26 units away from 0, to the right. ### Part 2b
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13. robert is planning a trip. he uses his map and notices the legend a…
b) 443 miles ### Question 14
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la figura a continuación está dilatada con el centro de dilatación en e…
Las coordenadas del punto \( P \) después de las transformaciones son \( (-2, 3) \).
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find the measure of angle x in the triangle with two angles of 45° each…
\(x = 90^\circ\)
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describe the rotational symmetry or symmetries of the figure. choose th…
B. \(90^{\circ}, 180^{\circ}, 270^{\circ}\)
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la figura a continuación se traslada 4 unidades a la derecha y luego se…
\((-7, -2)\)
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question 20 of 25 which of the following systems of inequalities would …
D. \( y\leq -x + 4; y<x + 2; y\geq0; x\geq0 \)
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question 9 of 10 select the points that are solutions to the system of …
C. \((-10, 1)\)
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question 10 of 10 how many solutions does the nonlinear system of equat…
D. Three
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question 7 of 10 how many solutions does the nonlinear system of equati…
C. Two
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i) given: ∠1≅∠2 & \\(\\overline{ba} \\cong \\overline{bc}\\) prove: \\(…
To prove \( \triangle ABD \cong \triangle CBD \): 1. **Statement 1**: \( \angle 1 \cong \angle 2 \) - **Reason 1**: Given 2. **Statement 2**: \( \overline{BA} \cong \overline{BC} …
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in the diagram below, the circles stand for the three branches of gover…
The arrow from the Judicial circle to the Legislative circle (the blue arrow going from "Judicial" to "Legislative").
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in exercises 1–4, trace the polygon and point p. then draw a rotation o…
For problem 9: - **Error Description**: The student used the rule for reflecting a point over the \(x\) - axis \((x,y)\to(x, - y)\) instead of the rule for rotating a point \(270^…
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the equation of line s is $y = -\frac{1}{2}x + 5$. line t includes the …
\( y = -\frac{1}{2}x-9 \)
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the equation for line k can be written as y + 3 = -3(x - 7). line ℓ inc…
\( y=-3x + 8 \)
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pythagorean theorem word problems solve the equation to find the missin…
C. 85 (assuming the options are labeled with C for 85, but based on the given options, the correct one is the option with 85)
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nova v, geometry sem a- a sing triangle similarity theorems points s an…
16 cm
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4520va v geometry sem a- a using triangle similarity theorems what is t…
3 units
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geometry sem a - a triangle similarity theorems use the converse of the…
Line segment \( \overline{TU} \) is parallel to line segment \( \overline{RS} \) because \( \frac{32}{36} = \frac{40}{45} \).
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iva v: geometry sem a- a ng triangle similarity theorems what is the le…
8.75 in.
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20va v, geometry sem a- a sing triangle similarity theorems if $overlef…
4 units
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ing triangle similarity points a and b are midpoints of the sides of tr…
4 m
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triangle similarity theorems what is the perimeter of △aeb? 18.7 ft 18.…
16.4 ft
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geometry sem a- a triangle similarity theorems points o and n are midpo…
38 cm
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using the side - splitter theorem, daniel wrote a proportion for the se…
2.4 units
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geometry sem a-a triangle similarity theorems using the side - splitter…
GJ
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completing a proof given: △stu with \\(\\overline{st} \\parallel \\over…
For step 5: triangle STU is similar to triangle XYU For step 11: subtraction property of equality (or equivalent, e.g., "subtract 1 from both sides")
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find an equation of the vertical line through (-3, -1). the equation is…
\( x=-3 \)
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determine a series of transformations that would map polygon abcde onto…
). D' to E': x from 5 to 1 (4 units left), y from -4 to -2 (2 units up). Wait, no. Alternatively, the first transformation is a vertical stretch by 2, then a translation. Let's tr…
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determine a series of transformations that would map polygon abcde onto…
(horizontal line). New A'C': distance between (1,-6) and (10,-5): $\sqrt{(9)^2 + (1)^2} = \sqrt{82} ≈9.05$, which is not 10. Wait, no, original AC is from (1,3) to (6,3): x from 1…
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diagram shows the intersections of several straight roads. the avenues …
226 ft (corresponding to the option "226 ft")
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q) which transformation will not carry the rectangle onto itself? image…
Reflection over the x - axis
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find an equation of the horizontal line through (-1, 4). the equation i…
\( y = 4 \) (or \( 0x + y = 4 \))
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the figure below has rotational symmetry. □° is the smallest possible r…
\(90\)
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ling an unknown length what is the length of \\(\\overline{bc}\\)? from…
The length of \( \overline{BC} \) is \( 10 \)
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dilation of a point score 1/5 analyzing question what is the image of (…
\((-8, -24)\)
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3) a reflection over which line will carry the isosceles triangle onto …
B. \( y \)-axis (assuming the options are labeled as: A. \( x \)-axis, B. \( y \)-axis, C. \( x = -1 \), D. \( y = x \))
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question what is the image of (3, 0) after a dilation by a scale factor…
\((1, 0)\)
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2) how many lines of symmetry does the shape shown below have? options:…
4 (corresponding to the option with 4, e.g., if the option is labeled as, say, B. 4, then the answer is B. 4)
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ing an unknown length what is the length of \\(\\overline{bc}\\)? from …
The length of \( \overline{BC} \) is \( 10 \).
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determine the equation, in slope-intercept form, for the line shown in …
\(y = x-6\)
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finding an unknown length what is the length of \\(\\overline{bc}\\)? f…
10
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the equation of line t is $y = \\frac{7}{4}x + 2$. perpendicular to lin…
\( y = -\frac{4}{7}x-\frac{6}{7} \)
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find an equation of the line described below. write the equation in slo…
\( y=\frac{3}{8}x \)
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determine the equation, in slope-intercept form, for the line shown in …
\( y = -x + 1 \)
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use the figure shown for items 1-2. what is the measure of the exterior…
\( 63^\circ \)