幾何
三角形、円、座標幾何、証明問題。
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9.71. multiple choice: which of the points below is a solution of ( y <…
b. \((-4, 5)\)
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homework - area, perimeter, and circumference how many square feet of s…
5400
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triangles separating overlapping triangles and identifying common featu…
### Part (a) To fill in the missing vertex labels for \(\triangle HIJ\) and \(\triangle LKJ\), we analyze the original figure: - For \(\triangle HIJ\): The sides are labeled \(9\)…
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units of length customary system units\tmetric system units 1 inch\t2.5…
$\frac{2.54 \text{ cm}}{1 \text{ in}}$, $\frac{1 \text{ meter}}{100 \text{ cm}}$
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5. $\\triangle mnp \\sim \\triangle qrp$ (the image shows triangle mnp …
\(x = 10\)
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complete the proof by choosing the correct eason\. given ( mangle ejg =…
To solve this proof, we analyze each step's reason: ### Step 1: \( m\angle EJG = m\angle 1 + m\angle 2 \) This is the **Angle Addition Postulate**, which states that if a point li…
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match each quadratic function given in factored form with its equivalen…
1. $f(x)=(x-12)(x+1) \iff f(x)=x^2-11x-12$ 2. $f(x)=(x-3)(x+4) \iff f(x)=x^2+x-12$ 3. $f(x)=(x-4)(x+3) \iff f(x)=x^2-x-12$ 4. $f(x)=(x+2)(x-6) \iff f(x)=x^2-4x-12$
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graph each equation. 9) \\(\frac{x^2}{4} + \frac{y^2}{9} = 1\\)
The graph is an ellipse with vertices at \((0,\pm3)\) and co - vertices at \((\pm2,0)\), plotted and connected smoothly on the given coordinate grid. (The actual graph is a smooth…
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solve the inequality. graph the solution.\\(-2t - 5 < 9\\)\ the solutio…
The solution is $t > -7$ For the graph: Place an open circle at $-7$ on the number line, and draw an arrow pointing to the right (towards positive infinity) to represent all value…
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27) circle the congruence theorem would you use to prove that the two t…
\( 75^\circ \) ### 28)
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solve the inequality. graph the solution. 3x + 4 > 16 the solution is \…
The solution is $x > 4$. For the graph, select the open circle at 4 with an arrow pointing to the right.
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angle fgh is a right angle. the measure of angle fgj is 50°. the measur…
$x = 140$
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3. given $\\triangle ghi \\sim \\triangle wvu$, what is the length of $…
1. The length of $\overline{GI}$ is 18 2. The length of $\overline{UW}$ is 5.2
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23) an altitude is drawn from vertex ∠y to the opposite side xz at poin…
\( YW \) is perpendicular to \( XZ \) (or \( YW \perp XZ \)) ### Question 24
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analyze structure annotate: underline words in paragraph 2 that reveal …
The core difference between Hamilton and Jefferson's views lies in their opposing stances on federal power, states' rights, and constitutional interpretation: 1. Hamilton advocate…
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1. $\\triangle abc$ is a right triangle with side lengths 7.5, 10, and …
A. 1.5, 2, 2.5 B. 3, 4, 5 E. 15, 20, 25 --- ### Problem 2
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choosing a path to the solution how many cups are in 1 liter? (some tab…
## Conversion Paths: - $\boldsymbol{\circ}$ Liters → quarts → cups - $\boldsymbol{\circ}$ Liters → gallons → quarts → cups ## Number of cups in 1 liter: Approximately $\boldsymbol…
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1. the sides of three squares join to form a right triangle as shown. i…
$\boldsymbol{100}$ $\text{cm}^2$
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explain whether this dilation is an enlargement or a reduction, and how…
This dilation is an enlargement because the image triangle $A'B'C'$ is larger than the original pre-image triangle $ABC$, and the distance from the center of dilation $O$ to the i…
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19) if \\( \\overline{de} \\) is a midsegment of \\( \\triangle abc \\)…
Equation: \( x - 3=\frac{1}{2}(3x - 12) \) \( x = 6 \), \( DE = 3 \), \( BC = 6 \) ### Problem 20
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7) 2.5 cm (with a circle diagram)
If we use \( \pi \approx 3.14 \), the circumference is \( 15.7 \, \text{cm} \); in terms of \( \pi \), it is \( 5\pi \, \text{cm} \).
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1. find the missing side length of the right triangle. 12 ft 5 ft ? 10.9
13 ft
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determine if lines r and s are parallel. select the correct choice belo…
C. The slope of line r is $-\frac{1}{2}$, and the slope of line s is $1$. Since the slopes are different, lines r and s are not parallel.
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17) given isosceles triangle abc as shown below where \\( \\overline{ab…
Equation: \( 7x + 8 = 4x + 26 \) \( x = 6 \) \( BC = 28 \) ### Problem 18
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describing a solution set describe the graph of ( y > mx ), where ( m >…
- dashed line - half plane - positive slope - origin - shading above the line
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3. $\\triangle qrs \\sim \\triangle tuv$
\(x = 11\)
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details 1. find sin a, sin b, cos a, and cos b. write each answer as a …
B. \(\sin A = \frac{5}{13}\), \(\sin B = \frac{12}{13}\), \(\cos A = \frac{12}{13}\), \(\cos B = \frac{5}{13}\) ### Question 2
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read these related words and their meanings. culture the way of life of…
Circle "Chinese art", "language" ### Question 2
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¿en qué cuadrante se encuentra cada punto? a. (-6, 7) b. (-5, -9) c. (2…
El punto \((-6, 7)\) está en el **Cuadrante II** ### b. $(-5, -9)$
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the figure below is reflected over x - axis. what are the coordinates o…
\((-6, 4)\)
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identifying the graph of an inequality which is the graph of $4x + 2y <…
The correct graph is the second one (left to right: dashed decreasing line with shading below the line).
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find ac. write your answer as an integer or as a decimal rounded to the…
\(4.0\)
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find xy. write your answer as an integer or as a decimal rounded to the…
\( 9.0 \)
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find pr. write your answer as an integer or as a decimal rounded to the…
\( 7.8 \)
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in the figure above, ( rt = tu ). what is the value of ( x )? a) 72 b) …
C) 64
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find the value of x. if necessary, you may learn what the markings on a…
\(126\)
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find the value of x. if necessary, you may learn what the markings on a…
24
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6 multiple choice 1 point which option best shows ( x < -6 ) clear my s…
A. (The first number line: open circle at -6, shaded left to -9)
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graph each equation. 9) \\(dfrac{x^2}{4} + dfrac{y^2}{9} = 1\\)
The graph is a vertical ellipse centered at the origin $(0,0)$ with vertices at $(2, 0)$, $(-2, 0)$, $(0, 3)$, and $(0, -3)$, connected by a smooth, oval-shaped curve.
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
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2. circle the error: neither the students nor the teacher know the answ…
Circle "know" (the correct verb should be "knows") --- ### Question 3 (Choose correct verb tense)
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question find the value of ( y ) in the diagram below. diagram showing …
$y = 11.5$
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through the point (4,10) and is perpendicul to the line y = -4x - 6.
$y=\frac{1}{4}x + 9$
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find the value of ( x ) in the diagram below. the diagram shows a long …
$x = 1$
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29. find the area of this trapezoid. dimensions are in feet.
92 square feet
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independent practice each of the cards on the left has the same solutio…
Card A: 120 cubic units Card B: 714 cubic units Card C: 67.2 units Card D: 9.5 square units
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the volume of this cylinder is 4,923.52 cubic yards. what is the radius…
$r \approx 14.00$ yards
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area of triangle =?
$18\ \text{cm}^2$
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what is the volume of this cone? round your answer to the nearest hundr…
3190.69 cubic millimeters
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in the figure above, ( rt = tu ). what is the value of ( x )? a) 72 b) …
C) 64
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the volume of this cone is 278.832 cubic inches. what is the radius of …
$r \approx 5.99$ inches
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6. martin wants to build an additional closet in a corner of his bedroo…
Because Martin wants the length (\(l\)) of the closet to be twice the width (\(w\)), so by the given condition, \(l = 2w\). ### Part (b)
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15. q(9, -3), r(9, 4), s(-2, 10), t(-2, 6)
Neither
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the volume of this rectangular prism is 672.290 cubic meters. what is t…
$d = 7.9$ meters
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the volume of this cube is 1,000 cubic millimeters. what is the value o…
10 millimeters
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find the missing side length. all answers must be in radical form. poss…
\(8\) (and the legs \(a\) and \(b\) both have length \(8\))
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find the missing side length. all answers must be in radical form. (the…
\(a = 5\), \(b = 5\) (choosing the option "5" as the missing side length for \(a\) and \(b\))
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writing a two-column proof given: $\\angle abc \\cong \\angle def$ and …
The two - column proof is as shown above, with the conclusion $m\angle ABC = m\angle GHI$ proven using the given congruences and the transitive property of equality.
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what is the area of the letter justin made? a = 80 in.²
$80$ $\text{in}^2$
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find the area of the figure. (sides meet at right angles.)
The area of the figure is \( 33 \, \text{cm}^2 \).
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find the area of the figure. (sides meet at right angles.)
44 square yards
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c) (trapezoid with top base 3 cm, bottom base 4 cm, height 2 cm; and a …
L'aire du trapèze est $7\,\text{cm}^2$
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which would give you more pizza? one 14\ circular pizza or two 7\ pizza…
a.) $153.94$ square inches b.) $76.97$ square inches c.) One 14" circular pizza
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identify the angle pair. a) adjacent b) vertical c) corresponding d) al…
b) Vertical (assuming the diagram shows vertical angles; if the diagram was different, but based on typical angle pair questions, vertical is a common one. However, if the first d…
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11. select all the sets of transformations that result in a congruent i…
- two translations - vertical translation, reflection over the y-axis - two reflections over the y-axis - two rotations about (3, 3)
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find the area of this trapezoid. be sure to include the correct unit in…
The area of the trapezoid is \(34\) square feet (or \(34\) ft\(^2\)).
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10. a dilation maps point q(1, 3) to its image q(2, 6). complete the di…
A. 2
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find the area of this trapezoid. be sure to include the correct unit in…
The area of the trapezoid is \( 81 \) square meters (or \( 81\space m^2 \)).
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b) 40 mm 25 mm a =
\( 500 \, \text{mm}^2 \)
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find the area of this trapezoid. be sure to include the correct unit in…
The area of the trapezoid is $114$ square inches.
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follow the guided instructions below to rotate the figure 180° clockwis…
To draw the circle: 1. Select a vertex of the triangle (e.g., \((4,1)\) or \((5,5)\) or the third vertex). 2. Find the distance from the origin (center of rotation) to this vertex…
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identifying properties match the statement to the property it shows. if…
- "If \( AB = CD \), then \( CD = AB \)" → symmetric property - "Segment \( CD \) is congruent to segment \( CD \)" → reflexive property - "If \( MN = XY \), and \( XY = AB \), th…
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3 trouve l’aire des figures suivantes. a) 3 cm 5 cm a =
\( 7.5 \, \text{cm}^2 \)
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9. draw the image of figure rstu after a translation 3 units left and 4…
The final image has vertices at $(2,0)$, $(2,-2)$, $(3,-2)$, and $(4,0)$. When plotted and connected, this forms the translated and reflected quadrilateral $R''S''T''U''$.
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translate the figure 2 units right and 2 units up. draw a vector from t…
The translated triangle has vertices at \((-5,1)\), \((-2,1)\), \((-2,-5)\) and the vector has its terminal point at \((2,2)\) (the vector is drawn from \((0,0)\) to \((2,2)\)).
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8. figure def is a dilation with center (0, 0) of figure def. what is t…
C. $\frac{1}{3}$
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bt bisects ∠abc. find the value of x. 15. angles at b: ∠abt = (5x - 17)…
$x = 15.5$ or $x = \frac{31}{2}$
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7. a rectangle with a perimeter of 16 centimeters is reflected and tran…
16 centimeters
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6. the coordinates of the vertices of triangle cde are c(3, -2), d(5, 2…
$C'(2, 3)$, $D'(-2, 5)$, $E'(0, 7)$
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22. (2x + 8)° (3x + 17)°
$x=31$, the two angles are $70^\circ$ and $110^\circ$
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20. $75^circ$ $(2x - 5)^circ$
$x = 55$
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find the length x to the nearest whole number.
566
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find the length ( x ) to the nearest whole number. (do not round until …
\( \boxed{290} \)
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what is the area of this figure? 3 mi 6 mi 3 mi 2 mi 3 mi 16 mi 8 mi 9 …
102
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point e is the midpoint of \\(\\overline{ab}\\) and point f is the midp…
- \(\overline{AB}\) is bisected by \(\overline{CD}\) - \(AE=\frac{1}{2}AB\) - \(EF=\frac{1}{2}ED\)
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simplify using the properties of exponents. circle your final answers. …
1.) $\frac{2}{3}$ 2.) $\frac{1}{100}$ or $10^{-2}$ 3.) $4$ 4.) $200$ 5.) $\frac{1}{2}x^4$ 6.) $\frac{3y^2}{x}$ 7.) $-\frac{3}{4}xy$ 8.) $\frac{4cd}{3b}$ 9.) $\frac{z^2}{x^2}$ 10.)…
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if pr = 4x - 2 and rs = 3x - 5, which expression represents ps? p q r s…
\( 7x - 7 \) (corresponding to the option "7x - 7")
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using the segment addition postulate, which is true? a b c d -9 -8 -7 -…
D. \( BC + CD = BD \)
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point v lies between points u and w on \\(\\overline{uw}\\). if \\(uw =…
36 units
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if $\\angle pqr$ measures $75^\\circ$, what is the measure of $\\angle …
53° (corresponding to the option "53°")
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what is the midpoint of \\(\\overline{ab}\\)?\ \ \\(\\circ\\) point f\ …
point G
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if jm = 5x - 8 and lm = 2x - 6, which expression represents jl? j k l m…
\( 3x - 2 \) (corresponding to the first option)
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point b is the midpoint of \\(\\overline{ac}\\). which statements about…
B. \( \angle ABC \) is bisected by ray BD, C. \( BC = \frac{1}{2}AC \), E. \( 2m\angle DBC = m\angle ABC \)
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13. q(-11,5), r(-8,4), s(8,-7), t(-1, -4) parallel perpendicular neithe…
13. Parallel 14. Neither
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ray uw is the angle bisector of ∠vut. if ( mangle vuw = (4x + 6)^circ )…
\( 38^\circ \) (Option: 38°)
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raj correctly determined that ray lh is the bisector of ∠ gli. which in…
\( m\angle GLI = 2m\angle GLH \) (the third option)
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match the gestalt principles to their descriptions by dragging each cir…
- proximity - tendency to perceive objects as a group if they occur close together in space - similarity - tendency to perceive objects as a group if they have the same shape, col…
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the diameter of a circle is 34 feet. what is the circles circumference?…
\( 106.81 \)
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write an equation for the function. y = \\square x + \\square
The correct equation should be \(y = 1x + 6\) (or \(y = x + 6\)), but if we follow the initial box with \(7\) (which is incorrect), there's a mistake. However, based on the graph,…
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the two windows shown are similar. what is the height of the larger win…
5.44 feet (corresponding to the option with 5.44 feet)