幾何
三角形、円、座標幾何、証明問題。
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98. the rectangle has a perimeter of 86 yards. which is its area? a 210…
C. 420 sq yd
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quadrilateral fghi is a rectangle, fj = 10w - 5, and ij = 14w - 29. wha…
$w = 6$
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3. quelle expression représente le volume de ce prisme? 4. quelle expre…
Le volume du prisme est représenté par l'expression \( \boldsymbol{10x(2x - 3)(x - 8)} \) (ou sa forme développée \( 20x^{3}-190x^{2}+240x \)).
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quadrilateral stuv is a square. what is ( mangle tsw )?( mangle tsw = s…
$45$
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is parallelogram stuv a square? yes no
no
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q and t are the midpoints of the legs, \\(\\overline{rv}\\) and \\(\\ov…
$y=48$
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quadrilateral ghij is an isosceles trapezoid, gi = 3a + 72, and hj = 4a…
\( a = 15 \)
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1 multiple choice 1 point find the value of x. round to the nearest deg…
53 (corresponding to the option with 53, e.g., the second option: 53)
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start by writing an expression that would represent the slope of line d…
$\boldsymbol{\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}}}$ (or calculated as $\boldsymbol{\frac{3 - 8}{6 - 2} = -\frac{5}{4}}$)
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10. higher order thinking an art class is planning to paint a rectangul…
10 feet, 12 feet, 15 feet
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similar right triangles 1. identify the similar triangles in the diagra…
1. Similarity statement: $\triangle STU \sim \triangle TVU \sim \triangle STV$. Sketches: - Triangle 1: Right angle at top, vertices labeled $S$, $T$, $U$ (right at $T$) - Triangl…
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write the equation of the line in fully simplified slope - intercept fo…
$y = -x - 6$
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find the equation of a line perpendicular to $y = -4x - 1$ that passes …
$-x + 4y = 16$
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solve. round to the nearest whole number if nee 18. the “welcome home, …
72 square feet
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home work - determine if each graph shows a function and explain how yo…
1. Graph 44: Is a function. It passes the vertical line test (no vertical line intersects the graph more than once). 2. Graph 48: Is NOT a function. It fails the vertical line tes…
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1. nikolas is constructing a skyscraper with walls made of only glass t…
$116735\ \text{square meters}$
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this expression shows point bs y - value minus point as y - value in th…
No, $-\frac{3}{4}$ is not the same as the slope of line $p$. The correct slope is $\frac{3}{4}$, and the error came from inconsistent subtraction order of x and y coordinates.
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parallel/perpendicular line through a point (mc) question find the equa…
$y = x - 11$
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what is the area of this figure? 16 mm 9 mm 5 mm 4 mm 2 mm 2 mm 7 mm 2 …
122 square millimeters
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you just found that the slope is \\(\frac{3}{4}\\). how can you rewrite…
$\boldsymbol{\frac{-3}{-4}}$
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determine the answer to the following. * 11 points \\( \\triangle mdh \…
15.549
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find the geometric mean of each pair of numbers. 1. 12 and 50 2. 24 and…
1. $10\sqrt{6}$ (or ~24.49) 2. $6\sqrt{30}$ (or ~32.86) 3. $\sqrt{105}$ (or ~10.25) 4. $\frac{50}{3}$ (or ~16.67) 5. $4\sqrt{6}$ (or ~9.80) 6. 32
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keep going. subtract in the numerator and denominator to find the slope…
$\frac{3}{4}$
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find the common ratio of the geometric sequence -10, 20, -40, ...
$-2$
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are these triangles similar? write a similarity statement. $\\triangle …
yes $\triangle DFE \sim \triangle STU$
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fix any punctuation or capitalization errors below. click \submit answe…
The tourists asked Richard Watterson for directions: "We've been walking in circles for an hour."
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write an expression you could use to find the horizontal distance, or t…
$7 - 3$
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find the common ratio of the geometric sequence 19, 152, 1216, ...
8
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are these triangles similar? f 56° e u 56° t g s yes no
yes
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to find the change in vertical distance, we can find the change in the …
The expression for vertical change is $\boldsymbol{5 - 2}$
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7. one side of the flower garden is 3 times as long as the other. what …
The dimensions of the flower garden are 4 meters and 12 meters.
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12 points\ $\\triangle lbz$ is a right triangle where $m\\angle bzl = 9…
$\boldsymbol{61.928}$
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$\\triangle pqr \\sim \\triangle wvx$. find $wx$.
1.5
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3. quadrilateral abcd was translated 4 units to the left and 2 units up…
B. \((x,y)\to(x - 4,y + 2)\)
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the figure on the right is a scaled copy of the figure on the left. ans…
The side corresponding to segment \(IG\) (assuming the correct mapping) is \(PO\) (or the correct corresponding side based on the figure's vertex mapping, likely \(PO\) or \(TO\),…
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△lbz is a right triangle where ( mangle bzl = 90^circ ), ( bz = 24 ), a…
$\boldsymbol{45}$ (matches the unmarked option; note: the pre-selected 56.134 is incorrect. The correct calculation gives 45, which is listed as an option)
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the area of a rectangular rug is given by the trinomial ( r^2 - 4r - 77…
$r - 11$, $r + 7$
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△rst is translated so that point r (-2, 1) is mapped to point r′ (2, -4…
B. $(x, y) \to (x + 4, y - 5)$
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this expression shows point bs coordinates minus point as coordinates i…
$\frac{1}{2}$ (the denominator of the final fraction is 6, and the simplified slope is $\frac{1}{2}$)
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the figure on the right is a scaled copy of the figure on the left. ans…
- The side corresponding to \( OM \) is \( GF \). - The scale factor is \( 3 \).
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this expression shows point b’s coordinates minus point a’s coordinates…
The slope of line $t$ is $\frac{1}{2}$ (the value for the blank in the numerator is $3$)
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rstuv ~ fghij. what are ( mangle s ) and ( mangle f )? ( mangle s = squ…
$m\angle S = 131^\circ$, $m\angle F = 129^\circ$
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what is the slope of line t? you can use the slope triangle to help you…
$\frac{1}{2}$
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rstuv ~ dcbfe. find rv.
10
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uvwxy ~ defbc. what is ( mangle w )? ( mangle w = square^circ )
123°
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stuvw ~ iefgh. find hi.
20
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6. what is the area of a square with a perimeter of 28 feet?
49 square feet
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$\\triangle pqr \\sim \\triangle hji$. what are $m\\angle i$ and $m\\an…
$m\angle I = 89^\circ$, $m\angle P = 55^\circ$
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qrstu ~ bcdea. what are ( mangle c ) and ( mangle u )? ( mangle c = squ…
$m\angle C = 83^\circ$, $m\angle U = 95^\circ$
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10. $-x + y = -2$; $2x - y = 6$
The solution to the system of equations is \( x = 4 \), \( y = 2 \) (the point \((4, 2)\) is the solution as it satisfies both equations).
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stuv ~ wzyx. what is ( mangle v )? ( mangle v = square^circ )
$66^\circ$
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uvwxy ~ efbcd. what is ( mangle b )? ( mangle b = square^circ )
$92^\circ$
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△xpm is a right triangle where ( mangle xpm = 90^circ ), ( xp = 16 ), a…
12
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qrstu ~ cgfed. find qr. qr = \\boxed{}
16
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m∠e = \\square° m∠t = \\square° submit
$m\angle E = 105^\circ$ $m\angle T = 86^\circ$
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toni is testing her new model airplane. she starts its descent at an el…
-200
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10. $-x + y = -2$ $2x - y = 6$
The solution to the system of equations \(\begin{cases}-x + y=-2\\2x - y = 6\end{cases}\) is \(x = 4\), \(y = 2\) or the ordered pair \((4,2)\)
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m∠x = \\square°
$72$
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unfamiliar word excerpt from jane eyre, chapter 5 by charlotte bronte t…
"Ignominious" means causing public shame, humiliation, or disgrace; it describes an action or situation that is demeaning and embarrassing, especially when done in front of others.
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uvwxy ~ tpqrs. what is ( mangle s )?( mangle s = square^circ )
$118$
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$\\triangle xyz \\sim \\triangle jhi$. what is $m\\angle i$? $m\\angle …
$47$
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two sides of $\\triangle abc$ have lengths of 4 inches and 7 inches.\ a…
1. For $\triangle ABC$: a. $3 < x < 11$ inches b. 4, 5, 6, 7, 8, 9, 10 inches 2. For $\triangle XYZ$: a. $4 < y < 24$ cm b. 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, …
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ghijk ~ tuvwx. find uv and gk. write your answers as decimals or whole …
UV = 9.3 GK = 4.5
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bcde ~ vstu. what are ( mangle b ), ( mangle s ), and ( mangle t )?
$m\angle B = 129^\circ$ $m\angle S = 51^\circ$ $m\angle T = 129^\circ$
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review the passage. the allusion is shown in bold. the engineer had lis…
It highlights the project's extreme difficulty.
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what is the value of z? z = \\boxed{2}
$z=4$
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uvwx ~ adcb. find cd and uv. write your answers as decimals or whole nu…
$CD = 48$ $UV = 1.5$
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select the allusion in the passage. the engineer had listened to the en…
"was a Herculean task"
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uvwx ~ adcb. find cd and uv. write your answers as decimals or whole nu…
$CD = 48$, $UV = 1.5$
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a cylinder fits inside a square prism as shown. for every cross section…
\(\frac{\pi}{4}\) the volume of the prism or \(\frac{\pi}{4}(4r^{2})(h)\) or \(\pi r^{2}h\) (the last option among the given choices)
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the volume of a triangular prism is increased by a factor of 8. by what…
4
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enter the equation of a circle that is congruent to \\( \bigodot c \\) …
$(x+6)^2+(y-1)^2=9$
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draw a hexagon that has two right angles. draw a hexagon that has two a…
# Explanation for Drawing a Hexagon with Two Right Angles: ## Step1: Recall Hexagon Properties A hexagon has 6 sides and the sum of interior angles is \((6 - 2)\times180^{\circ}=7…
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fghij ~ edcba. find ab and bc. ab = bc =
$AB = 15$ $BC = 10$
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enter the equation of a circle that is congruent to \\(\\bigodot c\\) a…
$\boldsymbol{(x-5)^2+(y+5)^2=25}$
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$\\triangle xyz \\sim \\triangle igh$. what is $m\\angle g$? $m\\angle …
$35$
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name: scan here for a quick video review! 2-d shape homework due: frida…
1. D. Perpendicular lines 2. G. triangle 3. C. trapezoid 4. A. congruent 5. B. Parallel lines 6. I. Acute angle 7. K. quadrilateral 8. (Note: This definition matches a square, whi…
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the oblique pyramid has a square base. what is the volume of the pyrami…
\( 5 \, \text{cm}^3 \) (corresponding to the option "5 cm³")
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find the perimeter.
208 cm
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$\\triangle stu \\sim \\triangle rpq$. find $pq$ and $pr$.
$PQ = \frac{160}{3}$ $PR = 40$
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part c using the rise and run from part b, what is the slope of the lin…
To solve for the slope of a line using rise and run, we need the values of rise (change in \( y \), denoted as \( \Delta y \)) and run (change in \( x \), denoted as \( \Delta x \…
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pqrst ~ dcbae. what are ( mangle p ) and ( mangle b )?
$m\angle P = 84^\circ$ $m\angle B = 124^\circ$
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$\\triangle uvw \\sim \\triangle hgf$. find $fg$ and $fh$. $fg = \\squa…
$FG = 7$ $FH = 7$
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directions: classify the triangles as isosceles, scalene or equilateral…
1. Equilateral, Isosceles 2. Isosceles 3. Scalene 4. Isosceles --- Angle Classification: 1. Acute triangle 2. Acute triangle
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question 2 part a you can also find slope without looking at a graph. u…
### Part A #### Explanation: To find the rise and run between two points \((x_1, y_1)\) and \((x_2, y_2)\), the rise is the difference in the \(y\)-values and the run is the diffe…
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defgh ~ yxwvz. find gh and dh. gh = \\boxed{ } dh = \\boxed{ }
$GH = 6$ $DH = 6$
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6.3.1. more triangle theorems 1. in △wxy, ( yl = 5 ), ( lx = 20 ), and …
Yes, \( \overline{JL} \parallel \overline{WY} \) because by the Converse of the Basic Proportionality Theorem (Thales' theorem), since \( \frac{WJ}{JX}=\frac{YL}{LX}=\frac{1}{4} \…
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2. find n. then find the area. perimeter = 86 in. 25 in. n
$n = 18$ in, Area = 450 square inches
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defg ~ yvwx. find vw and xy. vw = xy =
$VW = 7$ $XY = 10$
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what is the difference of the volumes of the two oblique pyramids, both…
1.2 \( \text{cm}^3 \) (corresponding to the option "1.2 \( \text{cm}^3 \)")
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a solid oblique pyramid has a regular pentagonal base. the base has an …
\(19\space\text{ft}^3\) (corresponding to the option with \(19\space\text{ft}^3\))
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uvwx ~ dcbe. find be and bc.
$BE = 22.5$ $BC = 33.75$
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$\\triangle hij \\sim \\triangle ced$. what is $m\\angle d$? $m\\angle …
$89$
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uvwx ~ qpsr. what is m∠p? m∠p = \\boxed{\\space}°
$57$
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7. the formula for the area a of a rectangle is $a = ell \times w$. the…
The length of the flower box is \( 4\frac{2}{3} \) inches. ### Part B: Perimeter of the front of the flower box
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$\\triangle bcd \\sim \\triangle vwx$. find $cd$.
4
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10. nathan plants equal - sized squares of sod in his front yard. each …
6000 square feet
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the area of a rectangle of width ( w ) is given by ( a = 5w^2 + w ). fa…
\(5w + 1\)
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pqrst ~ vuyxw. what is ( mangle y )? ( mangle y = square^circ )
$\boldsymbol{138}$
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which transformation would take figure a to figure b? answer a reflecti…
A reflection over the y - axis