幾何
三角形、円、座標幾何、証明問題。
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3x=3 x=1 solve for bc a---b---c, ab = x+1, bc=3x-1, ac=12 x+1 + 3x -1 =…
\( x = 1 \) ### Second problem (Solve for \( x \) and then \( BC \) where \( AB=x + 1 \), \( BC = 3x-1 \), and \( AC=12 \))
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samira is painting a wall that is 10 feet high and 60 feet wide. one ga…
Samira needs 1.5 gallons of paint.
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for questions 19-22, use the figure below. 19. what is the name of the …
Regular nonagon ### Question 20
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for each value of x, determine whether it is a solution to $-4(x + 1) =…
For \(x = 10\): No For \(x=-2\): No For \(x=-5\): No For \(x = 1\): No
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plot the point (- 3, - 2) in the rectangular coordinate system. plot (-…
To plot \((-3,-2)\): 1. Start at the origin \((0,0)\). 2. Move 3 units left (because \(x=-3\)) along the x - axis. 3. From that position, move 2 units down (because \(y = - 2\)) p…
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use the unit circle to find the value of (cos\frac{2pi}{3}) and even or…
\(-\frac{1}{2}\)
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problem 19. (lesson 17) one angle of a linear pair is 10 more than two-…
\( 66^\circ \) and \( 114^\circ \)
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plot the ordered pair (-6,5) on the rectangular coordinate plane. plot …
To plot \((-6,5)\), start at the origin \((0,0)\). Move 6 units to the left along the x - axis (because \(x=-6\)) and then 5 units up along the y - axis (because \(y = 5\)). Mark …
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problem 20. (lesson 15) the difference between the measures of two comp…
52 and 38
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easily confused words date: guidelines for using easily confused words …
### IDENTIFY EASILY CONFUSED WORDS 1. **Explanation for 1**: The sentence needs a number to describe comedians. "Two" means the number 2. - Step 1: Analyze the sentence context (d…
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problem 21: tell whether this argument is a valid or invalid deduction.…
Valid
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tell whether this argument is a valid or invalid deduction. parallel li…
Invalid
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complete this sentence with the best of the choices given. $overleftrig…
A. lines EF and GH are parallel
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problem 3: (first taught in lesson 22) complete this sentence with the …
D. transversal
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the dilation rule ( d_{f,3}(x, y) ) is applied to ( \triangle abc ), wh…
The distance in the x - coordinates from \(A(-2,2)\) to \(F(1,1)\) is \(\boldsymbol{3}\) unit(s). The distance in the y - coordinates from \(A(-2,2)\) to \(F(1,1)\) is \(\boldsymb…
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applying angle pair relationships what is ( mangle 2 )? (square^circ) w…
\( m\angle 2 = \boxed{105}^\circ \), \( m\angle 1 = \boxed{75}^\circ \)
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the dilation rule ( d_{f,3}(x, y) ) is applied to ( \triangle abc ), wh…
3 ### Part 2: Distance in y - coordinates
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a dimension is a measurement written as a _____. ○ range ○ number ○ let…
B. number (assuming the options are labeled as A. range, B. number, C. letter, D. symbol)
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on a site plan, the scale may read scale: 1\ = 20-0\. this means that _…
B. every inch represents 20 feet
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for questions 19-22, use the figure below. 19. what is the name of the …
Regular Octagon ### Question 20:
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find the area of the rectangle below: image of rectangle with $3x^3$ on…
\(-12x^{6}+15x^{3}\) (corresponding to the option \(-12x^{6}+15x^{3}\))
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find the area of the trapezoid shown below
The area of the trapezoid is $454.86$.
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use the diagram above to match the image/pre-image with the transformat…
a. Rotated \(180^{\circ}\) around the point \((0,0)\) (Pre - image: Shape I, Image: Shape II) ### Problem 15 #### Step 1: Analyze reflection over \(y=-x + 0\) (i.e., \(y=-x\)) The…
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topic 3: multi-step equations & word problems solve each equation. 17. …
\( k = 5 \) ### Problem 18: \( 7-\frac{5}{2}(8n - 18)=14-10(2n - 3) \)
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determine the measure of side d in the following diagram. round your an…
c. 9.1
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to find the length of ad, the necessary math needed (in order) is: imag…
c. sine law, cosine law
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given: ∠q ≅ ∠s, \\(\\overline{pq} \\parallel \\overline{rs}\\) prove: \…
## Step 2: To apply the alternate interior angles theorem for \(\overline{PQ} \parallel \overline{RS}\), the transversal here is \(\overline{QR}\). So the alternate interior angle…
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to find the length of ad, the necessary math needed (in order) is: diag…
c. sine law, cosine law
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identify the following as an expression or an equation (4 points) expre…
- \(2x^3 - 4x^2\): Expression (select the circle under Expression) - \(x = 3x^2 - 4\): Equation (select the circle under Equation) - \(5^x = 25\): Equation (select the circle unde…
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13. describe the transformation that has occurred on the graph to the r…
s: - Transformation: The pre - image (upper triangle) is translated vertically down by 8 units to get the image (lower triangle). - Default direction of rotation: Counter - clockw…
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the parking spaces in a city lot were created by painting rows of paral…
\( 65 \)
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match each vocab word to its definition: ______ 8. translation a) moves…
8. c) moves points the same distance and direction 9. e) moves points across a specific line so that the pre - image and image points are equidistant (the same distance) from that…
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which fractions correctly describe the white part of the shape? select …
b. \(\frac{4}{12}\), c. \(\frac{1}{3}\)
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calculate the volume of the composite shape shown above. use 3.1416 for…
# Explanation: ## Step1: Calculate Volume of Cone The formula for the volume of a cone is $V_{cone} = \frac{1}{3}\pi r^2 h$. The radius $r$ of the cone is equal to the radius of t…
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6. determine the correct answer. determine the coordinates for c after …
(-1, 2)
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4. determine the correct answer. determine the coordinates for b after …
(2, -2)
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7. a. graph the following points: (3, 7) and (- 2, 3) b. find the slope…
### Part a: Graphing the Points To graph the points \((3, 7)\) and \((-2, 3)\): - For the point \((3, 7)\): Start at the origin \((0,0)\). Move 3 units to the right along the x - …
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in the figure shown, ∠prs and ∠spq are right angles, and m∠spr = 40°. c…
A. \(\triangle SPR\sim\triangle PQR\) by AA, B. \(\triangle SPQ\sim\triangle QRP\) by AA, C. \(\triangle SPQ\sim\triangle PQR\) by AA, D. \(\triangle SPQ\sim\triangle SRP\) by AA,…
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question 8 find the area of the shape shown below. a 13 cm b d 8 cm e 7…
\( 136 \, \text{cm}^2 \)
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2. determine the correct answer. determine the coordinates for a after …
(-2, -1)
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question 11: mathematics knowledge what is the perimeter of the followi…
C: 24 m
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ii. write and solve an equation to find the length of each segment. 7. …
\( AB = 6 \), \( BC = 12 \) ### Problem 8
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write and solve an equation to find the difference between length a and…
The difference between Length A and Length B is $\frac{3}{8}$ inches (or $\frac{6}{16}$ inches, simplified to $\frac{3}{8}$).
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n: quadrilateral abcd with vertices a(-4, 3), b(1, 4), c(2, -1),... e: …
The diagonals \(AC\) and \(BD\) have the same length (\(\sqrt{52}\)), so the diagonals of \(ABCD\) are congruent.
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iii. answer the following questions. draw a picture. 9. t is between r …
\( RT = 10 \), \( RS = 14 \) ### Question 10
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given: x ∥ y w is a transversal of x and y. prove: ∠4 ≅ ∠5 diagram of l…
A. vertical angles B. corresponding angles theorem C. transitive property (Note: If we strictly follow the given options for C and there is a mistake, but based on the proof logic…
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solve for the following integer: 3(x + 1) - x = 7 a) x = 3 b) x = 2 c) …
b) \(x = 2\)
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use the information to answer the question. tara and maddie are at the …
3220
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11. 1. ( 3(x + 1) = 2x + 7 ) 1. given 2. ( 3x + 3 = 2x + 7 ) 2. ______ …
\(\overline{AB} \cong \overline{FG}\) ### Question 15
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find jm. 6x + 7 4x + 5 j m l
\( \boxed{1} \)
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2.1 conditional statements (pp. 107–120) watch learning target: underst…
1. If-then: If two lines intersect, then they intersect in a point. Converse: If two lines intersect in a point, then they intersect. Inverse: If two lines do not intersect, then …
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given the dilation rule ( d_{o, 1/3} (x, y) \to left( \frac{1}{3}x, \fr…
D. (0, 3)
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14 what is the length of segment (overline{ab}), given point a is locat…
A. 13 units
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13 given parallelogram abcd as shown, find the length of diagonal from …
A. \(\sqrt{61}\)
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find the area of the right triangle. (image of a right triangle on a gr…
15
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find em. 7x 8x − 6 e m g
\( 42 \)
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find the area of the right triangle. 1 unit area = □ square units
16
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which slope would be perpendicular to the line shown in the graph below…
D. \(\frac{2}{5}\)
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what does this tool do? one click with this tool will select objects wi…
B. One click with this tool will pick an entire object.
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right triangle abc has altitude \\(\\overline{cd}\\). move options to t…
The completed proof table is as above. The key steps are using the congruence of right angles, reflexive property of angles, AA similarity criterion, and the transitive property o…
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given ( l parallel m parallel n ), find the value of ( x ).
\( x = 4 \)
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determining a scale factor given the pre - image abcd and the image aft…
- The length AB is 2. (Correct) - The length A'B' is 3. (Correct) - The scale factor is \( \frac{3}{2} \). (Correct) (The options "The image is smaller than the pre - image" and "…
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document 3: dictatus papae pope gregory was elected pope in 1073 ce. he…
s: 3a. $\boldsymbol{\text{Claim A: The Catholic Church was very powerful in Medieval Europe}}$ (circle this claim). 3b. Example evidence: *“That it may be permitted to him [pope] …
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given ( l parallel m parallel n ), find the value of ( x ).
\(x = 6\)
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14) knitting mel is knitting a scarf with diagonal stripes. before she …
10 ### Question 15
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question ∠1 and ∠2 are vertical angles. if m∠1 = (x + 11)° and m∠2 = 9°…
\( x = -2 \)
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solve for the value of r.
\(r = 2\)
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the points (-3, 7) and (5, 1) are plotted on a coordinate plane. what i…
10
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name four points in the diagram. diagram showing planes s (top) and t (…
A. A, B. E, C. B, D. D
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∠1 and ∠2 are complementary angles. if ( mangle 1 = (x - 1)^circ ) and …
\(18^\circ\)
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the cities of ny, baltimore, and philadelphia began to become wealthy i…
Trading (the option with the circle, labeled "Trading")
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3 multiple choice 1 point name the plane that contains a, b, and c. ima…
Plane S
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question ∠1 and ∠2 are vertical angles. if ( mangle 1 = (4x - 28)^circ …
\(72^{\circ}\)（若求\(\angle1\)或\(\angle2\)的度数，答案均为\(72^{\circ}\)）
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name two lines in the diagram. diagram with labels: b, plane s, a, $ove…
$\overleftrightarrow{BC}$, $\overleftrightarrow{DE}$
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∠1 and ∠2 are vertical angles. if m∠1 = (3x + 30)° and m∠2 = (8x − 30)°…
\(x = 12\)
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name three points that are collinear, □ point w ■ point q ■ point r ■ p…
Point R, Point Q, Point S (or other valid collinear trio from the diagram, but based on the options, R, Q, S are collinear as they lie on the same straight line).
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∠1 and ∠2 are vertical angles. if $m\\angle 1 = (8x - 10)\\degree$ and …
\(x = 4\)，\(m\angle1 = m\angle2 = 22^{\circ}\)（如果问题是求\(x\)和角的度数，根据题目未显示完整部分推测，若仅求\(x\)则为\(x = 4\)）
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select all the shapes that have at least one line of symmetry. (with im…
A. Isosceles Trapezoid, B. Regular Pentagon, C. Isosceles Triangle
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the rule ( d_{o, 0.25} (x, y) \to (0.25x, 0.25y) ) is applied to the se…
s: - The coordinates of L' are \(\boldsymbol{(-1, 2)}\). - The coordinates of M' are \(\boldsymbol{(1, 2)}\). - The length of L'M' is \(\boldsymbol{2}\). - The slope of the origin…
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name two points that are not collinear with the last three collinear po…
Point R, Point T
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∠1 and ∠2 are complementary angles. if ( mangle 1 = (8x - 11)^circ ) an…
\(61^\circ\)
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solve for the value of r. (diagram shows two intersecting lines with an…
\(r = 8\)
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6 multiple choice 1 point give another name for the plane v. plane rst …
A. plane RST
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solve for the value of z. (7z+7)° (9z-7)°
\(z = 7\)
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9 multiple answer 1 point give two other names for $overrightarrow{wq}$…
line \( g \), \( \overleftrightarrow{QW} \)
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match the formula that goes with the given characteristic. sides or dia…
- Sides or diagonals are congruent: Distance Formula or Pythagorean Theorem - Sides or diagonals are perpendicular: Slope Formula - Diagonals bisect: Midpoint Formula - Sides are …
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question solve for the value of e.
\(e = 5\)
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question 8 (2 points) classify the polygon by the number of sides. tell…
Blank 1: Pentagon Blank 2: Regular
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vertical/adjacent/complementary angles (algebraic) score: 0/5 penalty: …
\( z = 6 \)
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question 7 (2 points) the expressions (3x+63)° and (7x-45)° represent t…
Blank 1: \( 27 \) Blank 2: \( 144 \)
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a picture of a square floor tile is shown. the diagonal of the tile mea…
B. \( 72\ \text{in}^2 \)
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the pyramid shown has a height of 40 meters, a slant height of 41 meter…
D. \( 4,320 \, \text{m}^3 \)
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complete the proof that ∠uyv ≅ ∠wyx. diagram with points w, v, y, x, u …
The reason for step 5 is that if two angles have equal measures, they are congruent (i.e., the Definition of Congruent Angles). From the given options, the correct choice is the o…
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which number line shows the solution to (\frac{1}{4}x + 1 < 5)?
The number line with an open circle at 16 and a red arrow pointing to the left (toward numbers less than 16, like 13, 14, 15) is the solution. This corresponds to the last number …
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given ( l parallel m parallel n ), find the value of ( x ).
\(x = 19\)
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the diagram shows a square piece of paper. jacob will cut along the dot…
D. \(7\sqrt{2}\) cm
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question 4 (1 point) tell whether the statement is always, sometimes, o…
sometimes
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find the length of the diagonal of a square with perimeter 32. p = 32 a…
E. \( 8\sqrt{2} \)
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the diagram shows a dilation of line ab about the origin o. determine t…
OA = $\sqrt{5}$ (or approximately 2.24) units, OA' = $\frac{3}{2}\sqrt{5}$ (or approximately 3.35) units, scale factor = $\frac{3}{2}$ (or 1.5). But if we take integer approximati…
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given ( m parallel n ), find the value of ( x ) and ( y ). (diagram sho…
\(x = 22\)，\(y = 35\)