幾何
三角形、圓、解析幾何與證明題。
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question 21 of 25 what is the area of the polygon below? image of an l …
D. 84 square units
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find the measure of the missing angle or solve for x. 1. 2. 3. 4. 5. 6.…
\( 64^\circ \) ### Problem 2:
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question move at least one of the 5 guide points below to complete the …
To graph \( y=(x - 3)^2-7 \), move the blue vertex (current at \((0,0)\)) to \((3,-7)\). Then move the red points: the ones near \( x = 1 \) and \( x=-1 \) (current) should move t…
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the coordinate grid below shows rectangle wxyz. rectangle wxyz is rotat…
D. \((x,y)\to(y,-x)\)
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solve the inequality and graph the solution set on a number line. 5x - …
The solution to the inequality \(5x - 4 > -x + 14\) is \(x > 3\). The graph has an open circle at 3 and an arrow pointing to the right.
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7. a shape is transformed on a coordinate grid using the rule ((x, y) \…
C. A rotation \(90^\circ\) clockwise about the origin
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question 20 of 25 what is the area of the rhombus shown below? jn = 13 …
D. 221 square units
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solve the inequality and graph the solution set on a number line. 6x - …
The solution to the inequality \(6x - 5 > -x + 16\) is \(x > 3\). To graph this on a number line, we draw an open circle at 3 (since \(x\) is not equal to 3) and shade the region …
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6. a point on a coordinate grid is translated 2 units to the right and …
C. \((x,y)\to(x + 2,y - 4)\)
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question 18 of 25 what is the equation of the line containing the point…
A. \( y=\frac{3}{7}x \)
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what type of triangle is this? equilateral right scalene isosceles
D. isosceles
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5. rhombus abcd is shown on the coordinate grid below. the designer ref…
A. \((x, y)\to(-x, y)\)
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solve the inequality and graph it 2x - 3 ≥ -x + 0
The solution to the inequality \(2x - 3 \geq -x + 0\) is \(x \geq 1\). For the graph, there would be a closed circle at \(x = 1\) (because the inequality is "greater than or equal…
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what is hj? 12 not enough information 184 6
D. 6 (assuming the red option is D, if the red option is labeled as 6, then the answer is the option with 6, e.g., if the red option is the fourth option, then "4. 6")
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find the measure of angle p 47 94 86 133
47
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translating a figure if triangle abc is translated 3 units right, what …
\( (2,1) \)
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translating a figure if triangle abc is translated 3 units right, what …
\( (2, 1) \) (corresponding to the option " (2,1) ")
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question 16 of 25 what is the area of a triangle with a base of 7 units…
B. 38.5 sq. units
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question move at least one of the 5 guide points below to complete the …
To graph \( y=(x - 6)^2+3 \), move the blue vertex (from \((0,0)\)) 6 units right and 3 units up to \((6,3)\). Then move the red points: for each red point \((x,y)\) on \( y = x^2…
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question 15 of 25 what is the area of the triangle shown below? 8 10 a.…
A. 40 sq. units
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triangle abc is isosceles with vertex angle c. if the measure of angle …
The correct option is the orange button with "35" (i.e., the first option: 35).
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during the drought, the top of the church was 28 feet above water level…
\( |28 - (-20)| \) (The first box is 28, the second box is -20)
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question 14 of 25 which expression gives the area of the triangle shown…
A. $\frac{1}{2}cx$
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what is the measure of angle m? 35 110 70 55
70 (corresponding to the green option with "70")
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if triangle abc is translated 3 units right, what are the coordinates o…
\((3, 5)\) ### Second sub - question (B after 2 down):
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question 13 of 25 if \\( \\overleftrightarrow{ab} \\) is parallel to \\…
C. -8
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find x 84 42 96 138
96 (the green button with 96)
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what is the distance between 5 and -15 on a number line? units
20
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what is the vertex? options: k, j, l (with a triangle labeled j, k, l a…
C. L (assuming the options are labeled with K, J, L as per the buttons, so the correct option is the green button with L)
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what is the distance between -25 and 15 on a number line? units
40
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for each number below, is it even or odd? 91 167 85 23 940 odd even
- 91: Odd (select the circle under "Odd") - 167: Odd (select the circle under "Odd") - 85: Odd (select the circle under "Odd") - 23: Odd (select the circle under "Odd") - 940: Eve…
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what is the measure of angle l? 70 110 55 40 (with a triangle labeled k…
40
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points each) 4) y = 2x + 3
To graph \( y = 2x + 3 \): 1. Plot the y - intercept at \( (0,3) \). 2. Use the slope \( m = 2 \) to find additional points (e.g., \( (1,5) \) by moving 1 right and 2 up from \( (…
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the top of the pyramid is 139 meters above ground. the floor of its sub…
169
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what is one way to find the distance? find $-15 - 7$. then take the abs…
\(-22\)
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1. find side lengths va and an. round to the nearest tenth. (image of a…
\( VA \approx 5.2 \), \( AN \approx 13.0 \) ### Question 2: Which is greater, an angle measuring \( 900^\circ \) or an angle measuring \( 6\pi \) radians? Explain.
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question 9 of 25 what is the slope of the line that contains the points…
B. -2
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question 8 of 25 what is the perimeter of the rectangle shown below? (i…
B. 26 units
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what is one way to find the distance? find $-15 - 7$. then take the abs…
\((-15)\)
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question 7 of 25 which point lies on the line with point - slope equati…
C. (6, 2)
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what is one way to find the distance? find $-15 -$ ?. then take the abs…
7
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question 6 of 25 a regular octagon with sides of length 7 and an apothe…
A. 293.72
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question 5 of 25 if the area of the trapezoid below is 75 square units,…
D. 6 units
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the diameter of a cylindrical water tank is 13 ft, and its height is 11…
\( 1459 \text{ ft}^3 \)
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geometry volume of a cylinder the radius of a cylindrical construction …
\( 276 \text{ ft}^3 \)
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geometry volume of a cylinder a grain silo has a cylindrical shape. its…
\( 6182 \text{ cubic feet} \) (or \( 6182 \text{ ft}^3 \))
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question 4 of 25 what is the distance between the two endpoints in the …
A. 14.21 units
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estimate the measure of this angle within 15°. angle image blank°
\(60\) (or \(45\), but \(60\) is more likely; acceptable within \(15^\circ\) of the true measure, so \(60^\circ\) is a common estimate)
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what is the slope of this line? simplify your answer and write it as a …
3
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score: 7/10. penalty: 0.5 off question what is the equation of the line…
The equation of the line can be written in slope - intercept form as $y=\frac{3}{4}x + 8$, in point - slope form as $y - 5=\frac{3}{4}(x + 4)$ or in standard form as $3x-4y=-32$. …
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question 25 of 25 is △efg ≅ △hjk? if so, name the postulate that applie…
A. Congruent - SSS
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question what is the equation of the line that passes through the point…
The equation of the line is $y=\frac{3}{4}x + 8$ (or in standard form $3x-4y=-32$)
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14) circle all the relations that are functions. input output 0 → -5 0 …
The relation represented by the table (with \(x\) values \(-8,-4,0,4,8\) and corresponding \(y=-1\) for each) is a function. So we circle the table - based relation.
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score: 6/10 penalty: 0.5 off question what is the equation of the line …
$y=\frac{3}{2}x$ (or in standard form $3x - 2y = 0$, but the slope - intercept form is more straightforward here)
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find the measures of the numbered angles. (the figure is not to scale.)…
\(68\)
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solve the inequality -5x < 10 and select the graph of the solutions.
The solution to the inequality is \(x > -2\). The graph should have an open circle at \(-2\) and a line (or arrow) extending to the right of \(-2\).
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0. 2x - y = -4 2x - y = 2
The system of equations \(2x - y=-4\) and \(2x - y = 2\) has no solution (the two lines are parallel).
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for #’s 12 and 13, write an equation of the line given by the graph or …
\(y=\frac{3}{5}x + 2\) ### Problem 13
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y = 2x - 1 y = -x + 2
The solution to the system of equations (the intersection point of the two lines) is \((1,1)\)
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in february, although you’re my subordinate at work, i’ll let you desig…
1. In February, although you’re my subordinate at work, I’ll let you design our new ad campaign. 2. - "although you’re my subordinate at work": Dependent Clause - "I’ll let you de…
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question 3 (5 points) match the letter in the picture to the correct me…
1. A - b. 1/2 inch 2. B - d. 1 1/4 inch 3. C - e. 1 7/8 inch 4. D - c. 2 3/8 5. E - a. 3 1/16
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in the diagram, ∠bad is a straight angle. use this diagram for problems…
$\angle BAC$ and $\angle CAD$ are supplementary angles (they form a linear pair, so their sum is $180^\circ$).
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answer the following question using the measurements of the right trian…
To complete this task, you can follow these steps: ### Step 1: Identify a right - triangle - shaped item at home For example, a right - angled corner of a bookshelf, a triangular …
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for each number below, is it even or odd? 43 odd ○ even ○ 685 odd ○ eve…
- 43: Odd (select the circle under Odd) - 685: Odd (select the circle under Odd) - 61: Odd (select the circle under Odd) - 178: Even (select the circle under Even) - 59: Odd (sele…
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find the circumference of the following circle. give the exact circumfe…
74π
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y = \\frac{5}{4}x + 3\ y = \\frac{1}{4}x - 1\ y = -\\frac{1}{}x + 3
The solution to the system of equations is \( x = - 4 \) and \( y=-2 \), so the point of intersection is \( (-4,-2) \).
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find the distance between the pair of points. e(11, -1), f(-1,8) d = \\…
\(15\)
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what is the slope of this line? simplify your answer and write it as a …
\(-3\)
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a. the fraction representing the shaded portion as part of the whole is…
$\frac{1}{3}$
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7. in the diagram, ∠cab is a straight angle. a. describe the relationsh…
The sum of the measures of \(\angle CAF\), \(\angle FAD\), and \(\angle DAB\) is equal to the measure of the straight angle \(\angle CAB\) (i.e., \(\angle CAF+\angle FAD+\angle DA…
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the coordinates of point t are (7, - 19). the midpoint of \\(\\overline…
(7, 1)
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of the line represented by the equation below. $y = \\frac{1}{3}x + 2$ …
\(\frac{1}{3}\) (If the question was about \(y\) - intercept, the answer would be \(2\). Since the original question's full text is a bit cut off, but from the equation \(y=\frac{…
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linear equations finding the dimensions of a rectangle given its perime…
length: \( 10 \) ft width: \( 5 \) ft
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for each number below, is it even or odd? odd even 471 54 595 42 88
- 471: Odd (mark the Odd circle) - 54: Even (mark the Even circle) - 595: Odd (mark the Odd circle) - 42: Even (mark the Even circle) - 88: Even (mark the Even circle)
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bd bisects ∠abc. solve for x and find m∠abc. m∠abd = (7x)°, m∠dbc = (2x…
\( x = 3 \)
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using the graph, determine the coordinates of the zeros of the parabola.
The coordinates of the zeros of the parabola are \((-6,0)\) and \((-1,0)\), and the answer type is Two points.
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6. consider the diagram. a. describe the relationship among $\\angle da…
$\angle DAC$, $\angle CAE$, and $\angle EAB$ are congruent (each measures $x^\circ$) and their sum equals $\angle DAB$ (a right angle, $90^\circ$).
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6. y = -x + 4 y = (5/3)x - 4
The solution (intersection point) is \( (3, 1) \)
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4.) use what you know about congruent triangles to solve this problem. …
To prove that \( \triangle BCE\cong\triangle DCE \): 1. **Identify the common side**: Triangles \( \triangle BCE \) and \( \triangle DCE \) share the side \( CE \). By the Reflexi…
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use the following number line to determine if the expressions are true …
- \( a < b \): True (select True circle) - \( |a| < |b| \): False (select False circle) - \( |a| < b \): False (select False circle)
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practice problems. solve for the given variable and justify. a. diagram…
\(x = 10\) ### Part b
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using the graph, determine the coordinates of the vertex of the parabol…
\((-5, - 9)\)
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find the measure of each angle. 12x + 5 8x + 5 12x + 5 = \\square^\\cir…
For \(12x + 5\): \(53^\circ\) For \(8x + 5\): \(37^\circ\)
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practice problems: solve for the given variable and justify. a. (diagra…
## Part a: If angles are alternate interior (equal): \(x=\boldsymbol{\frac{37}{3}}\) (or \(\approx12.33^\circ\)); if supplementary: \(x=\boldsymbol{\frac{163}{7}}\) (or \(\approx2…
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example 2 try it! investigate circumscribed circles 2. what conjecture …
- Triángulo agudo: El circuncentro está dentro del triángulo. - Triángulo rectángulo: El circuncentro está en el punto medio de la hipotenusa. - Triángulo obtuso: El circuncentro …
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t is the midpoint of \\(\\overline{pq}\\). a. find the value of x. b. f…
6
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using the graph, determine the coordinates of the vertex of the parabol…
$(-3,-1)$
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using the graph, determine the coordinates of the vertex of the parabol…
One point
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use the number line below, where rs = 6y + 2, st = 4y + 9, and rt = 91.…
\( y = 8 \)
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5. two angles, ∠a and ∠b, are a linear pair. the measure of ∠a is 32°. …
$\angle B = 148^\circ$
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the solid below is made from cubes. find its volume. \\(\\mathrm{cm}^3\…
\( 96 \)
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try it! use theorem 5-10 4. identify the sides of △nop. a. which side i…
### Parte a: # Explicación: ## Paso 1: Encontrar el tercer ángulo La suma de los ángulos en un triángulo es \( 180^\circ \). Dados \( \angle N = 65^\circ \) y \( \angle P = 58^\ci…
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3.08: variables on both sides of the equation use notebook paper. you m…
s (for solved equations): 1. \(c = -\frac{13}{2}\) 2. \(y = -\frac{2}{5}\) 3. \(x = 7\) 4. \(a = -4\) 5. \(k = \frac{51}{11}\) 6. \(x = -14\) 7. \(a = 15\) 8. \(m = 4\) 9. \(x = -…
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using the graph, determine the coordinates of the zeros of the parabola…
The coordinates of the zeros of the parabola are \((-5,0)\) and \((1,0)\)
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find the area of the right triangle. 1 unit area = 14 square units
14 square units
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4. two angles, ∠a and ∠b, are complementary. the measure of ∠a is 67°. …
The measure of $\angle B$ is $23^\circ$.
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try again your answer is incorrect. find the area of the right triangle…
12
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for each number below, is it even or odd? 142 95 58 20 624 odd even
- 142: Even (select the circle under "Even" for 142) - 95: Odd (select the circle under "Odd" for 95) - 58: Even (select the circle under "Even" for 58) - 20: Even (select the cir…
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3.) use the hinge theorem to solve this problem. you and a friend take …
By the Hinge Theorem, the flight with the larger included angle between the two legs (210 miles and 80 miles) will be
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a) determine whether the graph illustrated represents a function b) giv…
a) C. Yes, because a vertical line cannot be drawn to intersect the graph at more than one point. b) Domain: $[-6,4]$, Range: $[-4,6]$ c) 2 d) 2