幾何
三角形、円、座標幾何、証明問題。
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the diagonals of this rhombus are 6 feet and 5 feet. what is the area o…
15 square feet
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which pair of triangles can be proven congruent by sas?
The third pair of triangles (the bottom pair with two pairs of marked sides and the included marked angle) is the one that can be proven congruent by SAS.
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graph the given line. give the domain and range. 2x + 4 = 0 use the gra…
- **Graph**: A vertical line passing through \(x=-2\) (all points with \(x = - 2\) and any real \(y\)). - **Domain**: \(\{x|x=-2\}\) (or \([-2,-2]\)) - **Range**: \(\{y|y\in\mathb…
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what is the area of the trapezoid? 0.3 km 0.5 km 0.6 km 0.7 km square k…
0.25 square kilometers
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2 using the diagram in conjunction with postulates and theorems, determ…
- \(m\angle1 = 55^\circ\), \(m\angle3 = 55^\circ\), \(m\angle4 = 125^\circ\) - \(m\angle5 = 125^\circ\), \(m\angle6 = 55^\circ\), \(m\angle8 = 55^\circ\) - \(m\angle13 = 55^\circ\…
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can be the line x = 7. give the domain and range. a. use the graphing t…
B. The domain is a value or list of distinct values, \(7\)
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find the measures of the numbered angles in rhombus defg.
$\angle 1 = 90^\circ$, $\angle 2 = 61^\circ$, $\angle 3 = 61^\circ$, $\angle 4 = 29^\circ$
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the area of the trapezoid is 1.32 square kilometers. 0.6 km 1.5 km 1.6 …
$1.2$ kilometers
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what is the area of the trapezoid? 33 mi. 20 mi. 29 mi. 12 mi. square m…
450 square miles
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a toy company needs to package balls with a 2 - inch radius in sets of …
the cylinder because it has about 27.5 in.$^3$ less wasted space than the prism
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what is the area of the trapezoid? 6 yd. 20 yd. 21 yd. 9 yd. square yar…
150 square yards
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the area of the trapezoid is 160 square centimeters. 14 cm 10 cm 10 cm …
8 centimeters
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the area of the trapezoid is 33 square miles. what is the trapezoids he…
$h = 6$ miles
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a frustum is formed when a plane that is parallel to a cone’s base cuts…
$44\pi$ units$^3$
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the area of the trapezoid is 48 square miles. what is the trapezoids he…
$h = 6$ miles
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the area of the trapezoid is 42 square kilometers. what is the trapezoi…
$h = 7$ kilometers
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what is the area of this figure? square meters submit
95 square meters
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instructions: for each diagram, use the given information to mark any c…
1. Theorem: SAS (Side-Angle-Side) 2. Theorem: ASA (Angle-Side-Angle) 3. Theorem: SAS (Side-Angle-Side) 4. Theorem: HL (Hypotenuse-Leg) 5. Theorem: ASA (Angle-Side-Angle) 6. Theore…
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which statements about the composite figure are true? check all that ap…
- The composite figure consists of two rectangular pyramids. - The total volume is 45 units$^3$.
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name the figure below in two different ways. symbol: cg angl cp
1. $\overrightarrow{CP}$ 2. $\overrightarrow{CG}$
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using the same graph from the question before (shown below), transform …
$A'': (-6, -6)$ $B'': (-6, -3)$ $C'': (-3, -3)$
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7. a, 65 cm; c, 95 cm 8. a, 16 yd; b, 22 yd determine whether each tria…
\( b \approx 69.28 \, \text{cm} \) ### Problem 8: \( a = 16 \, \text{yd}, b = 22 \, \text{yd} \) (Find \( c \))
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what is the area of the trapezoid? 1.3 mm 1.3 mm 0.5 mm 2.5 mm square m…
0.95 square millimeters
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practice & problem solving practice 16. trace abcd and point p. draw th…
The dilated figure $A'B'C'D'$ is constructed by extending the lines from center $P$ to each vertex of $ABCD$ to twice their original length, then connecting the new endpoints in s…
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graph the line. -4x + 3y = 12. give the domain and range. use the graph…
The domain of the function \(y=\frac{4}{3}x + 4\) (which represents the line \(-4x + 3y = 12\)) is \(\boldsymbol{(-\infty,\infty)}\) and the range is \(\boldsymbol{(-\infty,\infty…
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right triangles 1, 2, and 3 are given with all their angle measures and…
C. 0.83
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in the figure below, there are three right triangles. complete the foll…
(a) $\triangle ABC \sim \triangle CBD \sim \triangle ACD$ (b) $\frac{BD}{BC} = \frac{CB}{AB}$; $\frac{AD}{CD} = \frac{CD}{BD}$
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14. mathematical connections carolina says that when a figure is dilate…
If the angles were doubled, the sum of the image triangle's angles would be $360^\circ$, which violates the Triangle Angle Sum Theorem (triangle angles must sum to $180^\circ$). T…
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what is the area of the trapezoid? 4 mm 11 mm 10 mm 10 mm square millim…
70 square millimeters
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plot $2\\frac{4}{5}$ and $1\\frac{7}{10}$.
To plot \(2\frac{4}{5}\) (which is \(2.8\)): Start at 2, move 8 small segments (each representing \(0.1\)) to the right. To plot \(1\frac{7}{10}\) (which is \(1.7\)): Start at 1, …
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1-2 logic practice directions: write the negation of each statement. st…
1. $x \leq 3$ 2. Today is not Saturday. 3. $y > 10$ 4. Geometry is my favorite class. 5. $p \land q$ 6. $q \lor r$ 7. $ eg q ightarrow p$ 8. $ eg p \land eg r$
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10. error analysis kendall was asked to find the scale factor for the d…
Kendall calculated the scale factor as the ratio of the pre-image length to the image length (using $\frac{6}{2}=3$) instead of the correct ratio of image length to pre-image leng…
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6. what is the scale factor for the dilation?
$\frac{1}{2}$
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solve the inequality and graph the solution. 3 + 2t < -1 to draw a ray,…
The solution to the inequality is $t < -2$. For the graph: an open circle at $-2$ on the number line, with an arrow pointing to the left toward negative infinity.
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writing expressions for volume of a composite figure which expressions …
$\frac{1}{3}(7)(12)(10) - \frac{1}{3}\pi(3^2)(10)$ $280 - 30\pi$
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give the coordinates of the dilation. 7. $d_5(\\triangle pqr)$ for $p(1…
$P'(5, -15)$, $Q'(-25, -20)$, $R'(30, 10)$
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$overline{rs} cong overline{st}$ and $overline{ru} cong overline{tu}$. …
The completed proof with reasons is as follows: | Statement | Reason | | --- | --- | | 1. \(\overline{RS} \cong \overline{ST}\) | Given | | 2. \(\overline{RU} \cong \overline{TU}\…
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read each paragraph. circle the accessory that each paragraph describes…
B. purse
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$overline{pr} cong overline{qs}$. complete the proof that $overline{qr}…
Statement 10: \( m\angle PQR = 90^\circ \) (or \( \overline{QR}\perp\overline{PQ} \)) Reason for statement 10: Division Property of Equality (for the angle measure) or Definition …
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proper lighting and a clear view of the food preparation area are impor…
Acute
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triangle 5 adjacent side 52 opposite side 30 hypotenuse 60 theta
$\boldsymbol{30^\circ}$ (or approximately, considering the side lengths, it's very close to $30^\circ$)
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in the figure, ( a parallel e ), ( m parallel n ), and ( mangle 3 = 112…
$68$
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graph the line containing the point p and having slope m. p = (-5, -7);…
The equation of the line is $y=-7$, and it is a horizontal line passing through the point $(-5,-7)$ (and all other points with $y - coordinate=-7$). To graph it, plot the point $(…
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$overline{ij} cong overline{gj}$ and $overline{hi} cong overline{gh}$. …
| Statement | Reason | | --- | --- | | 1. \(\overline{IJ} \cong \overline{GJ}\) | Given | | 2. \(\overline{HI} \cong \overline{GH}\) | Given | | 3. \(\overline{HJ} \cong \overline…
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in the figure, ( j parallel k ) and ( mangle 2 = 117^circ ). what is th…
$63$
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in this section, youll solve problems involving geometric constructions…
Square
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in the figure, ( a parallel b ) and ( mangle 1 = 34^circ ). what is the…
\(34\)
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graph the line $x = -1$
To graph \( x=-1 \), draw a vertical line passing through \( x = - 1 \) on the \( x \)-axis (parallel to the \( y \)-axis, intersecting the \( x \)-axis at \( (-1,0) \) and extend…
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in the figure, ( x parallel y ) and ( a ) is a transversal that crosses…
$\boldsymbol{\angle 1 \text{ and } \angle 5}$
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the local restaurant website includes restaurant reviews and places cus…
Both shapes are quadrilaterals.
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what is the name of the relationship between $\\angle 1$ and $\\angle 5…
corresponding angles
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applying trigonometric ratios to estimate side lengths rounded to the n…
2.7
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what is a pair of supplementary angles if line m and n are parallel? ○ …
$\boldsymbol{\angle5 \text{ and } \angle8}$
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the last step before going live is selecting and setting up your lighti…
Three
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triangle 5: choose a number between 30-50 for the opposite side, and be…
Let's take Opposite \( = 40 \), Theta \( = 53.13^\circ \) (approximate angle where \( \sin\theta = 0.8 \), \( \cos\theta = 0.6 \)) - Adjacent Side \( = 30 \) - Hypotenuse \( = 50 …
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a video that you posted shows you preparing an order of nachos. you pre…
40 centimeters
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find the value of \\(\\sin d\\) rounded to the nearest hundredth, if ne…
$0.58$
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practice what you’ve learned an illusionist develops a plan to create a…
$136$
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express cos m as a fraction in simplest terms.
$\frac{3}{5}$
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identifying trigonometric ratios to estimate side lengths what are the …
$\sin(20^{\circ})=\frac{LN}{8}$, $\cos(70^{\circ})=\frac{LN}{8}$ (i.e., the first and the fifth options)
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in this section, you’ll solve problems involving geometric construction…
B. Square
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question 1 (11.11 points) listen in this section, you’ll identify, clas…
The two equilateral triangles form a rhombus (or a parallelogram with all sides equal, which is a rhombus).
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check the slope box and click and drag one of the labeled coordinate po…
\((1, - 2)\)
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which angles are adjacent angles?\ $\\angle xwt$ and $\\angle utr$\ $\\…
\(\boldsymbol{\angle XWT}\) and \(\boldsymbol{\angle VWT}\)
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erik states that the two cones below have the same volume because of ca…
No, the heights of the cones are not the same, so Cavalieri's principle does not apply.
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which angles are alternate interior angles?\ $\\angle pqn$ and $\\angle…
\( \angle PQN \) and \( \angle ONQ \)
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which angles are corresponding angles? \\(\\angle vux\\) and \\(\\angle…
\(\boldsymbol{\angle VUX}\) and \(\boldsymbol{\angle YXZ}\)
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which option best describes the relationship between ∠1 and ∠8? - alter…
Alternate exterior angles
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using the slope formula, find the slope of the line through the given p…
A. The slope of the line is \(-1\)
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find the slope of the line containing the pair of points. (-2, -7) and …
A. The slope is \(\frac{9}{5}\)
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using the side lengths of $\\triangle pqr$ and $\\triangle stu$, which …
\(\angle P\)
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comparing volumes look at the two stacks of coins. each stack contains …
- The two stacks have equal volume.
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two students describe the sides of right triangle abc in relation to ∠b…
Tomas is correct; \( \overline{AC} \) is opposite \( \angle B \) and \( \overline{BC} \) is adjacent to \( \angle B \)
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match the description with the correct response. a vertical line choose…
B. \( x=-5 \)
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problems 1–2: the hangers and the graph represent the same system of eq…
1. The solution is $(x,y) = (1.5, 4.5)$ 2. A triangle weighing 1.5 lb and a circle weighing 4.5 lb will balance both hangers. 3. Red line: $y = -\frac{1}{2}x + 4$; Blue line: $y =…
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syllable pattern vce syllable pattern vce is a pattern that contains a …
### Part 1: Circle VCe Pattern Words To identify VCe pattern words (vowel - consonant - silent e, with long vowel), we analyze each word: - **impose**: V (i) - C (m, p, s) - e (si…
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which trigonometric ratios are correct for triangle abc? select three o…
- \(\boldsymbol{\sin(C)=\frac{\sqrt{3}}{2}}\) - \(\boldsymbol{\tan(C)=\sqrt{3}}\) - \(\boldsymbol{\sin(B)=\frac{1}{2}}\)
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given right triangle xyz, which correctly describes the locations of th…
D. a is adjacent, b is opposite, c is the hypotenuse
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given right triangle xyz, what is the value of tan(y)? \\(\\frac{1}{2}\…
\( \boldsymbol{\frac{\sqrt{3}}{3}} \) (corresponding to the option \( \frac{\sqrt{3}}{3} \))
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given right triangle jkm, which correctly describes the locations of th…
A. a is the hypotenuse, b is adjacent, c is opposite
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find the circumference of each circle using the formula $c = 2\\pi r$. …
1. $47.1$ cm 2. $18.84$ yd 3. $40.82$ ft 4. $163.28$ m 5. $389.36$ ft 6. $226.08$ yd
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polygon interior angles theorem\ polygon exterior angles theorem
- **Polygon Interior Angles Theorem**: For a polygon with \( n \) sides, the sum of the interior angles \( S_{interior}=(n - 2)\times180^\circ \). - **Polygon Exterior Angles Theo…
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find the area of the figure. 8 cm
$64\ \text{cm}^2$
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homework 9.5 & 9.6 - area of rectangles, parallelograms & triangles sta…
23 mm²
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describe the combination of transformations in the images below. $\\tri…
First, $\triangle ABC$ is reflected across the y - axis to obtain $\triangle A'B'C'$. Then, $\triangle A'B'C'$ is reflected across the x - axis to obtain $\triangle A''B''C''$. (I…
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given right triangle def, what is the value of sin(e)? ○ \\(\\frac{3}{5…
$\frac{4}{5}$ (the option corresponding to $\frac{4}{5}$)
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write the ordered pair location of the new point after the given transf…
\((9,9)\)
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write the ordered pair location of the new point after the given transf…
\((4, -1)\)
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check for understanding do you remember how to solve problems about unk…
- Angle $\angle AWB$: $138^\circ$ - Angle $\angle DWA$: $42^\circ$ - Angle $\angle BWC$: $42^\circ$
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$\\overline{pq}$ is reflected across the line $x = -3$. the coordinates…
D. \((-8, 4)\)
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find the measure of one interior angle in each regular polygon. round y…
\( 144^{\circ} \) ### 15) Regular 22 - gon (Interior Angle)
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given the triangle below, what is the length of the hypotenuse? 3 cm 5 …
B. \(\sqrt{34}\space cm\)
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in the figure shown, which pair of angles must be complementary? ○ ∠cob…
$\angle COD$ and $\angle DOB$
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the measure of an angle is 63°. what is the measure of its supplement? …
D. $117^\circ$
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calculator what is ( mangle lqk )? enter your answer in the box.
$45^\circ$
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find area; find area of shaded rectangle; find area of shaded parallelo…
30 ### Second Problem (Shaded Rectangle Area):
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what is the area of the triangle below? 3 meters 4 meters a 12 m b 12 s…
C. 6 square m
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calculator the lines s and t intersect at point r. what is the value of…
$y = 29$
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which pair of angles are vertical angles? ∠mrc and ∠krm ∠kre and ∠ert ∠…
D. $\angle ERT$ and $\angle MRC$
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find the value of x in the regular nonagon. (8x + 12)° x = (type an int…
\( 16 \)