幾何
三角形、円、座標幾何、証明問題。
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determine the missing angle measures using the law of cosines, law of s…
a. \(m\angle A = 40.4\) degrees b. \(m\angle B = 110.3\) degrees c. \(m\angle C = 29.3\) degrees
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you need 1,000 cubic centimeters of water and you have a box - shaped m…
1.875
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a cylindrical can has a radius of 2 inches and its label says it contai…
\( 1.0 \)
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what is m∠a? you may round your answer to one decimal place. b 7 7√2 c …
\(45.0\) deg
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what is m∠a? you may round your answer to one decimal place. enter deg …
\(23.6\) deg
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are the lines in the figure parallel, perpendicular, or neither? choose…
B. Perpendicular
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michaels family was traveling to visit prospective colleges. they drove…
Domain: \(0\leq x\leq\) (let's assume the total time is, for example, the time when the trip is over, so domain \(0\leq x\leq\) (some number, but based on the graph's y - axis hav…
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are the lines in the figure parallel, perpendicular, or neither? choose…
A. Parallel
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consider the following right triangle and the work shown to solve for x…
The proportion was set up incorrectly. The correct value of \(x\) is \(20.0\).
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use the figure below to answer the following questions. round your answ…
a) \(46.00\) deg b) \(45.56\) c) \(63.34\)
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use the figure below to answer the following questions. round your answ…
s: a) \(26.00^\circ\) b) \(18.45\) c) \(20.53\)
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find the value of x. you may round your answer to two decimal places.
\(x\approx38.40\)
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find the value of x. round your answer to two decimal places. 32° x 14
\(22.40\)
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determine tan(a) and tan(b). a) tan(a) b) tan(b)
a) $\tan(A) = \frac{2}{5}$ b) $\tan(B) = \frac{5}{2}$
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triangle abc is shown below with all three side lengths known. lets fin…
The measure of \(\angle B\) is \(100.1\) degrees.
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enter the correct answer in the box. the triangle shown is an isosceles…
\(\frac{9}{2}g^{4}-18g^{3}+24g^{2}-12g + 2\)
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triangle abc is shown below with all three side lengths known. let’s fi…
The measure of \(\angle B\) is \(100.1\) degrees.
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the scale drawing shows the dimensions of a motel. the scale is shown i…
For the question "What number can you multiply each length in the scale drawing by to find the actual length?", the number is \(5\). For the actual length of the east side, it is …
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what is the length of the line? choose 1 answer: a (sqrt{11}) b (sqrt{6…
B. \(\sqrt{61}\)
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what is the length of the line?
\(\sqrt{41}\) (or approximately \(6.4\))
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what is the length of the line?
The length of the line is \( \boxed{5} \).
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what is the distance between the following points? graph of coordinate …
A. 5
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graph the image of rectangle qrst after a rotation 90° counterclockwise…
The image of rectangle QRST after a 90° counterclockwise rotation around the origin has vertices at \( T'(0, -10) \), \( S'(0, -4) \), \( R'(8, -4) \), and \( Q'(8, -10) \). (To g…
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which of the following triangles would require you to apply the law of …
$\triangle ABC$, $\triangle MNO$, $\triangle JKL$ (the checkboxes for $\triangle ABC$, $\triangle MNO$, $\triangle JKL$ should be selected)
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1. which lines or segments are parallel? justify your answer. a)
The parallel lines/segments are \( \boldsymbol{PS \parallel QT} \) (by Corresponding Angles Postulate, as the corresponding angles formed by transversal \( PQ \) are congruent) an…
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find the exact perimeter of hexagon abcdef plotted below. b(1,5) c(6,5)…
D. $23 + \sqrt{29} + \sqrt{58}$
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mia is a competitive dart player. the graph below is a record of mias l…
\(7.1\)
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consider a triangle abc, with positive angle measures m∠a, m∠b, and m∠c…
The true equalities (Law of Cosines or rearranged) are: \(c^{2}=a^{2}+b^{2}-2ab\cdot\cos(m\angle C)\) \(a^{2}=b^{2}+c^{2}-2bc\cdot\cos(m\angle A)\) \(\cos(m\angle C)=\frac{c^{2}-a…
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there is a triangle - like figure. one angle is 100°, and there is a 35…
\(135^\circ\)
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3. find the value of x. then find the measure of each labeled angle. (i…
\( x = 20 \), \( 5x = 100^\circ \), \( 4x = 80^\circ \)
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sammy finds satellite images of a school and a museum. they put the ima…
The area of the museum is greater than the area of the school. (Or, if numerical values: School area ≈ 1800 m², Museum area ≈ 2827 m², so Museum is larger.)
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there is a right triangle, one of the acute angles is 40 degrees, and t…
\(50^\circ\)
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alex is designing a car racing video game. alex wants to create a short…
2
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find the measure of the missing angle. the triangle has angles 20°, 130…
The measure of the missing angle is \(30^\circ\).
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2. find m∠1 and m∠2. justify each answer.
\( m\angle 1 = 100^\circ \) (supplementary to \( 80^\circ \) as \( AB \parallel DC \)), \( m\angle 2 = 70^\circ \) (alternate - interior angle to \( 70^\circ \) as \( AB \parallel…
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a coach gives her players the option of running around their field twic…
The run around the stadium is longer. It is approximately \(75\) meters (or \(240\pi - 480\sqrt{2}\approx75\) meters) longer. (If we need an exact form, it's \(240(\pi - 2\sqrt{2}…
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find the area, in square units, of △abc plotted below. a(0,7) b(7, -2) …
52
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find the approximate perimeter of $\\triangle abc$ plotted below. $a(-4…
The approximate perimeter of $\triangle ABC$ is $\boxed{20}$ (or approximately 20.03, but rounded to a reasonable approximation).
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find the area, in square units, of $\\triangle abc$ plotted below. $a(-…
51
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what is the least common denominator (lcd) of the rational expressions …
The Middle Rectangle (with \( x^2 \))
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these figures are congruent. what is ge? □ miles
58
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find ef. image of right triangle def with right angle at e, leg de labe…
\( 4.6 \)
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find tu. write your answer in simplified, rationalized form. do not rou…
\( 5\sqrt{6} \)
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find cd. triangle with right angle at c, angle at d is 22°, bc is 3.2 w…
\(7.9\)
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find tu. write your answer as an integer or as a decimal rounded to the…
\( 3.0 \)
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find qr. write your answer as an integer or as a decimal rounded to qr …
\( 2.21 \) (or if we round to a different decimal place, but based on the calculation, approximately \( 2.2 \) or \( 2.21 \))
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find bd. (image of a right triangle bcd with right angle at b, bc = 6, …
\( 6 \)
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find su. write your answer in simplified, rationalized form. do not rou…
\( 4\sqrt{30} \)
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find uv. u t 96 60° v write your answer in simplified, rationalized for…
\( 32\sqrt{3} \)
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find eg. f g 45° 21 e write your answer in simplified, rationalized for…
\( 21 \)
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find gh. (image of a right triangle with right angle at h, vertex i, an…
\( 7 \)
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find ac. write your answer in simplified, rationalized form. do not rou…
\(8\sqrt{30}\)
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find rs. (there is a right triangle rst with right angle at r, angle at…
\( 10 \)
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hazar el gráfico de la recta. $y = \\frac{4}{3}x$
To graph \( y = \frac{4}{3}x \), plot \((0,0)\) and \((3,4)\) (or other points found by substituting \( x \) values) and draw a line through them. The line passes through the orig…
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find gi. h to i is 18√22, angle at i is 30°, angle at g is right angle.…
\( 9\sqrt{66} \)
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find the volume of a pyramid with a square base, where the perimeter of…
\( 6.7 \) cubic feet
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b) the diameter of a circle with area 1256 cm² f) image of a square wit…
The diameter of the circle is \( 40\space cm \)
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find the volume of a right circular cone that has a height of 9.5 in an…
\( \approx 2.9 \) cubic inches
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which equation represents a line which is perpendicular to the line $8x…
\(y=\frac{3}{8}x - 4\)
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find the volume of a pyramid with a square base, where the area of the …
\( 83.0\space cm^{3} \)
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which equation represents a line which is parallel to the line $y = \\f…
\( 8y - 3x = 32 \) (the third option)
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which equation represents a line which is parallel to $x = 0$? answer $…
D. \( x = 1 \) (assuming the options are labeled as A. \( y = 6 \), B. \( x=\frac{1}{3}y \), C. \( y = x \), D. \( x = 1 \))
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which equation represents a line which is perpendicular to the y-axis? …
\(y = - 6\) (the first option)
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l³ + 12 ¿cuál es el volumen total de ambos espacios de almacenamiento s…
76
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which equation represents a line which is parallel to the y-axis? answe…
A. \( x = 2 \)
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5. consider the following equations: $4x - 2y = 2$ $2x + 4y = 2$ 5b sta…
\( x = 1 \), \( y = 1 \)
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consider a circle with center o and let p be a point on the circle. sup…
\( \overline{OP} \) is perpendicular to \( L \) (proven by contradiction as shown above).
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in the figure shown, which composition of rigid transformations will ma…
D. a rotation followed by a translation
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5. consider the following equations: 4x - 2y = 2 -2x + 4y = 2 5a plot t…
The two lines are plotted as follows: One line (from \(y = 2x-1\)) passes through \((0, - 1)\) and \((\frac{1}{2},0)\), and the other line (from \(y=\frac{1}{2}x+\frac{1}{2}\)) pa…
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question what is an equation of the line that passes through the points…
\(x = -2\)
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find the area of the figure below by first finding the areas of the rec…
Area of the rectangle: 12 square units Area of the triangle: 6 square units Area of the figure: 18 square units
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which graph represents a function?
The third graph (the one in the middle-right among the four)
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decide if the graph shows a function by answering both questions. does …
For "Does each input have exactly one output?": Yes For "Does the graph show a function?": Yes
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what is the equation of the line that passes through the point (6, -3) …
\( x = 6 \)
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write the equation of the line in fully simplified slope-intercept form.
\( y = -\frac{1}{2}x - 8 \)
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write the equation of the line in fully simplified slope-intercept form.
$y = x + 1$
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práctica: expresiones numéricas y algebraicas — práctica — nivel f jess…
\( l^3 \)
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problem: the angles of a quadrilateral are ( x ), ( 5x + 15^circ ), ( 3…
The measure of the largest angle is \(165^\circ\)
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given ( m parallel n ), find the value of ( x ) and ( y ). ( (6x + 13)^…
\( x = 18 \), \( y = 59 \)
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given ( l parallel m parallel n ), find the value of ( x ). (there is a…
\( x = 20 \)
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given m || n, find the value of x and y. (4x-10)° m (8x-2)° n (2y)°
\( x = 16 \), \( y=27 \)
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given m || n, find the value of x and y. y° (4x+6)° m (5x-1)° n answer …
\( x = 7 \), \( y = 146 \)
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given ( l parallel m parallel n ), find the value of ( x ).
\(x = 45\)
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given ( m parallel n ), find the value of ( x ). (the image shows two p…
\( x = 15 \)
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try again your answer is incorrect. find the length x. (image of a righ…
\(9\)
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question #3 select all of the statements that are not true about circle…
A. The circumference is about 2 times the diameter, C. The radius divides a circle in half, D. The diameter is half of the radius, E. A chord must go through the center of a circle
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a circle has a radius of 2.5 cm. which of the following would be the di…
C. 5.0 cm ### Question 3 (Statements NOT true about circles)
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name: class: date: question #1 (diagram of a circle with points a, b, c…
- \(\overline{AC}\): Diameter - \(\overline{FB}\): Radius - \(\overline{ED}\): Chord - \(F\): Center
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write the equation of the line in fully simplified slope-intercept form…
\( y = -\frac{1}{2}x - 8 \)
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graph the line. $y - 5 = \\frac{2}{3}(x + 4)$
The line is graphed by plotting the point \((-4,5)\) and using the slope \(\frac{2}{3}\) to find additional points (e.g., \((-1,7)\) or \((-7,3)\)) and then drawing a straight lin…
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graph the line. $y + 3 = -\\frac{2}{3}(x + 4)$
To graph the line \( y + 3=-\frac{2}{3}(x + 4) \), first plot the point \((-4,-3)\). Then, using the slope \( -\frac{2}{3} \), find another point (e.g., from \((-4,-3)\), move dow…
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graph the line. $y - 2 = \\frac{1}{4}(x + 3)$
To graph the line \( y - 2=\frac{1}{4}(x + 3) \): 1. Plot the point \( (-3,2) \). 2. Use the slope \( \frac{1}{4} \) (rise = 1, run = 4) to find a second point (e.g., from \( (-3,…
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graph the line. $y + 3 = -\\dfrac{1}{3}(x + 5)$
The line is graphed by first plotting the point \((-5, - 3)\) and then using the slope \(-\frac{1}{3}\) to find additional points (e.g., \((-2, - 4)\) and \((-8, - 2)\)) and drawi…
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graph the line. $y - 2 = \\frac{2}{3}(x - 4)$
To graph the line \( y - 2=\frac{2}{3}(x - 4) \): 1. Plot the point \( (4,2) \). 2. Use the slope \( \frac{2}{3} \) to find other points (e.g., \( (7,4) \) by moving up 2, right 3…
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the equations of three lines are given below. line 1: $2x - 8y = -8$ li…
Line 1 and Line 2: Perpendicular Line 1 and Line 3: Perpendicular Line 2 and Line 3: Parallel
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question given: \\(\\overline{bd} \\cong \\overline{ac}\\), \\(\\overli…
\(\triangle BAD \cong \triangle CDA\) is proven using the HL Congruence Theorem (right angles from perpendicularity, common side, and given congruent hypotenuses).
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given: \\(\\overline{ac}\\) bisects \\(\\overline{bd}\\) and \\(\\angle…
\(\triangle BEC \cong \triangle DEA\) is proven using AAS congruence (with \(BE = DE\) from bisect, \(\angle CBE \cong \angle EDA\) given, and \(\angle BEC \cong \angle DEA\) vert…
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given: \\(\\overline{bc} \\cong \\overline{ad}\\) and \\(\\overline{ab}…
To prove $\triangle ABC \cong \triangle CDA$: 1. **Step 2 Statement**: $\overline{AC} \cong \overline{AC}$; **Reason**: Reflexive Property of Congruence. 2. **Step 3 Statement**: …
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in the diagram below, \\(\\overline{ab} \\parallel \\overline{cd}\\) an…
A. Angle - Side - Angle
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given: d is the midpoint of ac, ba ≅ bc and ∠eda ≅ ∠fdc. prove: △aed ≅ …
To prove \( \triangle AED \cong \triangle CFD \): 1. \( \overline{AD} \cong \overline{CD} \) (Definition of midpoint, as \( D \) is the midpoint of \( \overline{AC} \)). 2. \( \an…