幾何
三角形、圓、解析幾何與證明題。
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in a right triangle, one angle is 61°, the hypotenuse is 27, find the l…
\(x\approx13.1\) (If we consider the given value \(13.3\) around it, maybe due to different precision in \(\cos\) value, if we use \(\cos(61^{\circ})\approx0.4924\) (some calculat…
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9 use the diagram to answer the question below. suppose ( jm = 48x + 25…
\( 121 \)
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according to the lengths given in the diagram, which of the following s…
$\triangle HIG \sim \triangle KIJ$ by SAS
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in the right triangle, one angle is 39°, the length of the vertical sid…
\(x\approx13.77\) (rounded to two decimal places)
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1. $\\triangle qrs \\sim \\triangle tuv$; find $x$
$x = 11$
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10.3, 13.2, 14.2, 13.5, 12.4, 17, 12.9 (crossed out), x, 54°, 13.7, 4; …
If we are solving the triangle with \( \theta = 54^{\circ} \) and hypotenuse \( 17 \), \( x\approx10.0 \) (If there are other triangles, more information about the given sides and…
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16 10.5 14.2 12.9 x 10 51° version 1: pythagorean tripl
\(x\approx12.9\) (or more precisely, approximately \(12.87\))
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3. paul, jane, jamar, sarah, and opal were finished with lunch and bega…
\(x = 36^\circ\), \(y = 36^\circ\); angle measurements: \(2x = 72^\circ\), \(2y = 72^\circ\), \(x = 36^\circ\), \(y = 36^\circ\)
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15 start 18.7 57° x 16 13.4 10.5 14.2
\(x\approx13.4\)
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question 3 1 pts if the ratio of two supplementary angles is 4 to 19, c…
148.7
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considering what you just found for x in the previous problem, now find…
$28^\circ$
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3. $\\triangle mnp \\sim \\triangle qrp$; find $pr$ 4.
\(21\)
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solve for x
$x=9$
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start at the \start\ box and w x 38° 15 start 19.0 x 18.7 13.9
\( \boxed{19.0} \)
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if $\\triangle abc$ is translated up eight unit(s) and to the right nin…
The new coordinates of point \( A \) are \( (9, 12) \).
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bookwork code: 1e calculator not allowed mark the points a and b in you…
The region is the intersection of the interior of the circle (center \( B \), radius \( 3 \, \text{cm} \)) and the half - plane on the \( B \) - side of the perpendicular bisector…
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7 use the diagram to answer the question below. xm = 10x + 6 and my = 6…
\( \boxed{92} \)
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find: \\tan v
\(\frac{9}{40}\)
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which statements are true about x? select three options. \\(\\square x …
- \( x \in B \cup C \) - \( x \in B \cap C \) - \( x \in A \cup C \)
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solve for b
$52^\circ$
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find: \\(\\cos z\\) find: \\(\\sin n\\)
s: - \(\cos Z=\frac{3}{5}\) - \(\sin N=\frac{12}{13}\)
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this question has two parts. use the graph to answer part a and part b.…
Part A: $\frac{5}{4}$ Part B: $12$
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solve for a
$103^\circ$
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find: \\(\\cos f\\) (and there is a right triangle (efg) with right ang…
\( \frac{12}{37} \)
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solve for p
$154^\circ$
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the triangles shown are similar. move options to the lines to describe …
First, rotate $\triangle LMN$ $\boldsymbol{90^\circ}$ clockwise about point $\boldsymbol{L}$. Then, dilate the image with the center of dilation at point $\boldsymbol{L}$ and a sc…
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solve for n
$148^\circ$
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find. \\(\\cos n\\) \\(\\triangle lmn\\) is a right triangle with right…
\(\frac{12}{13}\)
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solve for m
$119^\circ$
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based on the venn diagram, which of the following statements is correct…
C. Set D is a subset of set A.
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proof of pythagoras’ theorem area of the small square = area of the lar…
The proof shows that for a right - triangle with legs of length \(a\) and \(b\) and hypotenuse of length \(c\), \(c^{2}=a^{2}+b^{2}\) (Pythagorean theorem is proved).
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matching sets to a venn diagram which of the following sets could be re…
C. \( S = \{\text{reptiles}\} \), \( T = \{\text{mammals}\} \)
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7 use the diagram to answer the question below. xm = 10x + 6 and my = 6…
\( 92 \)
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identifying subsets consider the following sets: p = {x | x is a parall…
R (where \( R = \{x \mid x \text{ is a rectangle}\} \))
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find: \\sin v
$\frac{12}{13}$
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1 7 2 8 3 9 4 10 5 11 6 12 alternate exterior corresponding alternate i…
To solve the problem of identifying the angle relationships for \(\angle10\) and \(\angle3\), and \(\angle10\) and \(\angle6\), we analyze the positions of the angles formed by th…
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find: sin v (right triangle with hypotenuse 26, leg 10, right angle at …
s: - \(\sin V=\boldsymbol{\frac{12}{13}}\) (Wait, no, wait, earlier mistake: Wait, in triangle \(TUV\), right - angled at \(U\), \(\angle V\): opposite side is \(TU = 24\), hypote…
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9. que représente la valeur de 96 cm² pour le cube ci - dessus? a) le v…
9. C) la superficie 10. a. C) 3,014 10. b. D) 50,24 et 15 11. C) 6 cm
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find: tan a
$\frac{3}{4}$
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function 1 (graph) \\ function 2 \\begin{tabular}{|c|c|} \\hline x & y …
(a) Function 1 (b) Function 1 (c) Function 3
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what is the area, in square centimeters, of the shape below? 7.4 cm 9.4…
34.78
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what is the area, in square inches, of the shape below? 5.8 in 6.7 in
The area of the triangle is \( 19.43 \) square inches.
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this net can be folded to make a square pyramid. what is the surface ar…
85 square inches
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∠2 and ∠13 ∠3 and ∠5 ∠3 and ∠15 ∠2 and ∠7 ∠7 and ∠15 alternate exterior…
Corresponding (check the "Corresponding" box) ### ∠2 and ∠7
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saul and felipe are standing at the corner of a rectangular park. they …
5.8 feet per second
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directions: could the set of numbers be the three sides of a right tria…
No ### Problem 8 (14, 48, 50)
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drag each label to the correct location on the image. apply your knowle…
- Tragedy (yellow circle): somber tone - Comedy (blue circle): cheerful tone - Overlap (green region): ironic tone
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5. find the coordinates of the image of f(-3, 5) after the composition …
C \(F''(-6, -6)\)
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solve for m
$119^\circ$
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5-2 practice quiz use the diagram shown for items 1 and 2. 1. select al…
B. \( \overline{PL} \cong \overline{PM} \cong \overline{PN} \) E. \( \overline{KP}, \overline{HP}, \) and \( \overline{JP} \) are angle bisectors of the triangle --- ### Item 2
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9. in the rhombus, ( mangle1 = 170 ). what are ( mangle2 ) and ( mangle…
9. B. $m\angle2=10,\ m\angle3 = 5$ 10. C. $m\angle1 = 90,\ m\angle2=19,\ \text{and}\ m\angle3 = 71$ 11. D. $x = 12, DF = 20, EG = 20$ 12. B. $a = 115, b = 80$
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7. photography elizabeth has a camera in which the distance from the le…
a. 1.12 centimeters b. 224 centimeters (or 2.24 meters)
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a carpenter is making a triangular frame for a garden trellis with thre…
A. 15.4 feet
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rectangle p 3.9 cm 4 cm rectangle q 7.8 cm for a, enter the scale facto…
A. 2 B. $62.4\ \text{cm}^2$
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below is a scale drawing of a parking lot. the dimensions of the outer …
For A: 24 feet For B: 864 square feet
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triangle a and triangle b are similar triangles. triangle a has sides 3…
2
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12. triangle abc is similar to triangle def. the length of side ab is 8…
B. 70
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question 1 u and v refer to the axes used in two - dimensional space. t…
False
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the two triangles below are similar. also, ( mangle j = 45^circ ) and (…
$m\angle E = 110^\circ$ $m\angle F = 45^\circ$ $m\angle G = 25^\circ$
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triangle rst and its image, triangle rst, are graphed on the coordinate…
a 90° clockwise rotation
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the scale factor of triangle a to triangle b is 1:$4\\frac{1}{2}$. what…
$x = 22.5$ (or $x = 22\frac{1}{2}$)
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which rotation may have occurred? a 45° rotation clockwise a 45° rotati…
a 90° rotation counterclockwise
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the scale factor is 1 centimeter to 35 meters. for a, enter the area of…
A. 36 square centimeters B. 44100 square meters
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15. find ( mangle 1 ) and ( mangle 3 ) in the kite. the diagram is not …
C. $m\angle 1 = 74, m\angle 3 = 16$ --- ### Question 16
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△abc and △def are similar. find the missing side length. (the triangles…
3
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use the segment addition postulate to find the length of \\(\\overline{…
27
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13. ∠j and ∠m are base angles of isosceles trapezoid jklm. if ( mangle …
C. 156
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the scale factor is 1 centimeter to 35 meters. for a, enter the area of…
A. 35 square centimeters B. 44100 square meters
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quadrilateral qrst is an isosceles trapezoid. the coordinates for three…
\((-1, 2)\) (the option with \((-1,2)\))
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9. what is the most precise name for quadrilateral (abcd) with vertices…
A. parallelogram --- ### Question 10
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8. which description does not guarantee that a quadrilateral is a paral…
C. a quadrilateral with consecutive angles supplementary
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solve for y
$66^\circ$
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a. all quadrilaterals are squares. b. all rectangles are parallelograms…
B. All rectangles are parallelograms.
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unit 3 lesson 6 cumulative practice problems 1. find a sequence of rigi…
A dilation with scale factor \(\frac{2}{5}\) (centered at a vertex or origin) followed by rigid motions (translation, rotation, reflection) to map the dilated square to \(EFGH\). …
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solve for x
$168^\circ$
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the rectangle on the grid is a scale drawing of a national park. the sc…
36 square centimeters
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try it! in the figure, ( a parallel b ). what is the value of ( x )? ex…
\(x = 55\) ### Alternative Method (using alternate interior angles): ## Step1: Identify alternate interior angles The angle supplementary to \(x\) is equal to \(125^\circ\) (alter…
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example 2 find unknown angle measures in the figure, ( a parallel b ). …
The measure of $\angle 1$ is $99^\circ$, and the measure of $\angle 2$ is $81^\circ$. $\angle 1$ is congruent to $\angle 4$ (vertical angles), and $\angle 2$ is congruent to $\ang…
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example 2 find unknown angle measures in the figure, a || b. what are t…
\(m\angle1 = 99^\circ\), \(m\angle2 = 81^\circ\) ∠1 is congruent to the given 99° corresponding angle (due to parallel lines cut by a transversal), and ∠2 is supplementary to ∠1, …
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is it possible to prove that triangle lmn is congruent to triangle xyz?…
B. Yes, we can use SAS.
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a ramp is used to load goods onto a truck. the ramp is 5 feet high and …
14 feet
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a triangular park has sides of 30 feet, 40 feet, and 50 feet. what is t…
30 feet
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a ladder is leaning against a wall. the foot of the ladder is 6 feet aw…
12 feet
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a square garden has a length of 24 feet and a diagonal of 26 feet. what…
10 feet
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a television screen measures 50 inches diagonally and has a width of 30…
40 inches
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a hallway is 100 feet long and 10 feet wide. if a piece of string stret…
100.5 feet
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find the side length of x. right triangle with legs 5 mi and x, hypoten…
12
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a cyclist rides 30 miles due east and then 40 miles due north. to the n…
50 miles
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find the value of x. note that de = x + 1, ae = x + 4, be = 16, and ce …
$x=\frac{-5+\sqrt{777}}{2}$ (or approximately $x\approx11.37$)
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a baseball diamond is a square with sides of 90 feet. what is the short…
127 feet
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the diameter of a small pizza is 9 inches. how much more area of pizza …
49.46
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a rectangular billboard has a width of 24 feet and a height of 10 feet.…
3. 26 feet
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find the circumference and the area of the circle below. c= \\square m …
Circumference \( C = 20\pi \approx 62.8 \) m, Area \( A = 100\pi \approx 314 \) \( m^{2} \) (or keep in terms of \( \pi \): \( C = 20\pi \) m, \( A = 100\pi \) \( m^{2} \))
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the graph of a system of equations shows two lines that overlap complet…
D. The system has infinitely many solutions because every point on the line satisfies both equations.
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find the radius for the circle when the circumference equals 314 inches…
50 inches
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type the correct answer in the box. use numerals instead of words. squa…
4
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mikla began with the figure shown. she completed the following actions …
Step 2: Next, she placed the compass on point D and drew an arc on the interior of ∠ABC.
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joe graphed a system of inequalities. where can he find the solutions? …
B. In any overlapping shaded areas.
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what is the next term of the geometric sequence? -6, -21, -73.5, -257.2…
a. -900.375
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find the circumference and area of each circle. use 3.14 for $\\pi$ and…
### Part a Circumference: \( 37.68 \) in, Area: \( 113.04 \) \( \text{in}^2 \) ### Part b Circumference: \( 69.08 \) cm, Area: \( 379.94 \) \( \text{cm}^2 \) ### Part c Circumfere…