幾何
三角形、圓、解析幾何與證明題。
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cb is tangent to ⊙a at point c. find the radius. cb ⊥ ac by the radius …
\(\frac{39}{10}\)
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read the passage from sugar changed the world. if you walked down beekm…
A. Simple enough, but this trade up and down the Atlantic coast was part of a much larger world system
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the diagram shows a convex polygon. what is the value of a? a = \\boxed…
\( a = \boxed{71} \)
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what is the sum of the exterior angle measures, one at each vertex, of …
\( 360 \)
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line ql is represented by the equation $y = x + 1$. line gn is parallel…
\( y = x - 2 \)
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find the distance between point k and point l.
5
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find the distance between point e and point f.
4
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1. kelvin is at his house located at (3, 4) on a coordinate plane and w…
D. 8.9 ### Question 2
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to get from his house to the lecture hall at school, lin walked west 65…
Lin walked southwest, creating an obtuse triangle.
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ramon wants to make an acute triangle with three pieces of wood. so far…
less than \(\sqrt{58}\) inches but greater than 7 inches
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line bn is represented by the equation $y = \\frac{3}{4}x + \\frac{7}{4…
\( y = -\frac{4}{3}x - 1 \)
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give the location of berlin as an ordered pair (x, y).
$(9, 7)$
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question 7 (multiple choice worth 2 points) (solve systems of equations…
The two lines \(y = 3x-2\) (from \(3x - y = 2\)) and \(y=3x + 8\) (from \(y + 4=3(x + 4)\)) are parallel. When graphing, one line passes through \((0,-2)\) with a slope of 3, and …
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parallelogram / rhombus properties, sides and angles score: 1/5 penalty…
$x = 85$, $y = 95$, $z = 85$
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graph the following system of inequalities by plotting all lines in the…
To graph the system: 1. Draw a solid vertical line at \( x = 0 \) and shade left of it. 2. Draw a dashed horizontal line at \( y = 4 \) and shade above it. 3. Draw a dashed line \…
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use the two points to find the slope of this line. m =? remember: slope…
\(\frac{1}{3}\)
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is the graph of this equation a horizontal or vertical line? x = 5 hori…
vertical line
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given right triangle abc with altitude \\(\\overline{bd}\\) drawn to hy…
The length of \( \overline{BD} \) is \( 9 \).
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the diagram shows a regular polygon. what is the value of x? write your…
\( x = 90 \)
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is the slope of this line positive or negative? a) positive b) negative…
a) positive
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applying the pythagorean theorem what is the value of x? x = (right tri…
\(x = 6\)
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modeling parallel and perpendicular lines line ql is represented by the…
Slope of Line QL (\(m_1\)): \(1\) Slope of Line GN (\(m_2\)): \(1\) Point - Slope Form of Line GN: \(y - (-2)=1(x - 0)\) (or \(y + 2 = x\)) Equation of Line GN in slope - intercep…
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the diagram shows a regular polygon. what is the value of x? write your…
\(x = 60\)
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the diagram shows a convex polygon. what is the value of s? $s = \\squa…
\( s = 52^\circ \)
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what is the measure of an exterior angle in a regular polygon with 13 s…
\( 27.7 \)
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the diagram shows a convex polygon. what is the value of ( v )? ( v = s…
\( v = 69 \)
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the diagram shows a convex polygon. what is the value of c? $c = \\squa…
\(47\)
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what is the measure of an exterior angle in a regular triangle? write y…
\(120\)
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the diagram shows a convex polygon. what is the value of x? x = \\squar…
\(45\)
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what is the measure of an exterior angle in a square? write your answer…
\(90\)
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what is the sum of the exterior angle measures, one at each vertex, of …
\(360\)
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the diagram shows a regular polygon. what is the value of x? write your…
\( 90 \)
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the diagram shows a regular polygon. what is the value of x? write your…
$120$
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the diagram shows a regular polygon. what is the value of x? write your…
\( x = 72.0 \)
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find the slope of each line 1) slope = ______ 2) slope = ______ 3) slop…
1) slope = $1$ 2) slope = $-1$ 3) slope = $\frac{5}{7}$ 4) slope = $-\frac{2}{5}$ 5) slope = $3$ 6) slope = $-\frac{5}{3}$ 7) slope = $-10$ 8) slope = $-\frac{3}{10}$
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rotating $\\triangle abk$ by $90^\\circ$ counterclockwise about the ori…
### (a) $CA = CA' = \sqrt{37}$ units $CB = CB' = 5\sqrt{2}$ units $CK = CK' = \sqrt{53}$ units ### (b) $m\angle ACA' = m\angle BCB' = m\angle KCK' = 90^\circ$ ### (c) Each point o…
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given ( m parallel n ), find the value of ( x ). (there is a diagram wi…
$162$
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how does the number of sides of a convex polygon, n, relate to the sum …
The sum of the interior angle measures of a convex \(n\)-sided polygon is \(180^{\circ}\cdot(n - 2)\), where \(n\) is the number of sides. As \(n\) increases by 1, the sum increas…
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choose the triangle shortcut that can be used to state the triangles be…
The triangles are not congruent.
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two angles are complementary. the first angle measures 37°. what is the…
$53^\circ$
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what is the surface area? image of a rectangular prism with length 8 cm…
150 square centimeters
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the students in mrs. hollands preschool class sit down in a circle for …
12.57 meters
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choose the triangle shortcut that can be used to state the triangles be…
Side Angle Side
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4. circle the trapezoid made with fewer blocks. 5. ling measures a frog…
4. Circle the right trapezoid (the smaller, narrower dark trapezoid on the right) 5. 5 cm
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a line that includes the points (3, -1) and (w, 6) has an undefined slo…
3
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a line with a slope of $-\frac{5}{4}$ passes through the points $(4, -1…
\( k=-4 \)
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rotating δpqr by 180° clockwise about the origin, we get its image δpqr…
(a) $CP = CP' = \sqrt{74}$ units $CQ = CQ' = \sqrt{45}$ units $CR = CR' = \sqrt{65}$ units (b) $180^\circ$ (c) Each point on the original figure is the same distance from the cent…
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rotating $\triangle lmn$ by $90^circ$ clockwise about the origin, we ge…
(a) $90^\circ$ (b) $CL = CL' = \sqrt{65}$ units $CM = CM' = \sqrt{34}$ units $CN = CN' = 6\sqrt{2}$ units (c) All angles formed by a point and its image, with the vertex at the ce…
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identify all the obtuse isosceles triangles. obtuse isosceles not obtus…
The obtuse isosceles triangles are the first (left - most) and the sixth (right - most) triangles in the given set (the ones with two equal sides and one obtuse angle).
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use the figure to complete each part. (a) name the sides of ∠tqr. qt an…
s: (a) The sides of $\angle TQR$ are $QT$ and $QR$. (b) Two other names for $\angle 2$ are $\boldsymbol{\angle SQR}$ and $\boldsymbol{\angle RQS}$ (or $\angle Q$ and $\angle SQR$ …
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problem 6 change one of the values to make this triangle a right triang…
| x | y | z | |----|------|------------| | 4 | 6 | $2\sqrt{13}$ | | 4 | $\sqrt{33}$ | 7 |
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(a) name the sides of ∠tqr. (b) write two other names for ∠2. (c) name …
\( QT \), \( QR \) ### Part (b)
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classify the four angles of the quadrilateral. figure of quadrilateral …
- \(\angle A\): Right - \(\angle B\): Acute - \(\angle C\): Obtuse - \(\angle D\): Right (To fill the table: For \(\angle A\) and \(\angle D\), select "Right"; for \(\angle B\), s…
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use the figure to find the value of x. (a) write an equation to find x.…
The equation is \(13x + 10 = 166\) and \(x = 12\).
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b. the table shows the ordered pairs of the points that give the approx…
1. Plotted and labeled points: $H(6,3)$, $I(4,0)$, $J(0,1)$, $K(-2.5,2)$, $L(-4,2.5)$, $M(6,-1.5)$, $N(-3.5,-0.5)$ on a coordinate plane. 2. Connected points in the order $D \to C…
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problem 5 tiam the turtle is traveling on one side of a triangle. exact…
$\sqrt{2}$ units
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points in space 5. for parts (a)-(d), consider the star map that shows …
| Point | Ordered Pair | |-------|--------------| | A | $(3, -3)$ | | B | $(-1, 0)$ | | C | $(-5, 4)$ | | D | $(-7, 4)$ | | E | $(-2, -5)$ | | F | $(0, -2)$ | | G | $(1, 3)$ |
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in the figure below, m∠abd = 112°. (a) write an equation to find x. mak…
\( 3x + 52 = 112 \)
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in the figure below, m∠abd = 112°. (a) write an equation to find x. mak…
\( 3x + 52 = 112 \)
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(a) write an equation to find x. make sure you use an \=\ sign in your …
The correct equation to find \(x\) is \(15x - 37=113\) (and the solution for \(x\) is \(x = 10\) since \(15x=150\) when we add 37 to both sides of the equation \(15x - 37=113\)). …
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problem 4 explain when ( a^2 + b^2 = c^2 ) is true for triangles. use t…
The equation $a^2 + b^2 = c^2$ (the Pythagorean theorem) is true **if and only if the triangle is a right triangle**, where $a$ and $b$ are the lengths of the two legs (the sides …
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solve. you may use a calculator. the swimming pool at lake spring high …
The combined area of the pool and tiled floor is \( \boldsymbol{4x^{3}+138x^{2}+390x + 4225} \) square meters. ### 2. Find the area of the tiled floor.
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use the figure to find the value of x. (a) write an equation to find x.…
The equation is \(15x - 37 = 113\) and the value of \(x\) is \(10\).
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an electric toy train travels around a christmas tree in a circle. the …
The train travels $6\pi$ feet (or approximately 18.84 feet)
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here are pairs of complementary and supplementary angles. describe what…
Complementary angles... are two angles whose measures add up to 90°. Supplementary angles... are two angles whose measures add up to 180°.
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triangles abd and ace are similar right triangles. which best describes…
The correct option is the fourth one (the one with \(\frac{BD}{DA}=\frac{CE}{EA}\) so \(\frac{4}{2}=\frac{y - 3}{x}\); solve for \(y\) to get \(y = 2x + 3\)).
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circle the indefinite pronoun or pronouns that complete each sentence. …
anything ### 91.
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problem 2 estimate the measure of each angle. | angle | measure (degree…
| Angle | Measure (degrees) | |-------|-------------------| | P | $135^\circ$ | | Q | $60^\circ$ | | R | $30^\circ$ | *Note: Estimates may vary slightly (e.g., P could be 120-140°…
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determine the equation of the circle graphed below.
$\boldsymbol{(x+5)^2+(y+2)^2=25}$
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estimate the measure of ∠abc. there are many challenges on this screen.…
60 degrees
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circle whether each underlined pronoun is singular (s) or plural (p). 8…
P ### 85.
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what is the circumference of the circle below? 6 ft
The circumference of the circle is \( 12\pi \) feet (or approximately \( 37.68 \) feet).
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identify all the obtuse isosceles triangles. obtuse isosceles\tnot obtu…
| Obtuse Isosceles | Not Obtuse Isosceles | |------------------------|----------------------------| | First triangle, Fourth triangle | Second, Third, Fifth, Sixth triangles |
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9 - 15. find the measure of each angle. use vocabulary to justify answe…
$m\angle3 = 73^\circ$ (supplementary/linear pair with $\angle2$) $m\angle10 = 107^\circ$ (corresponding angle to $\angle2$) $m\angle9 = 73^\circ$ (supplementary/linear pair with $…
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identify all the obtuse isosceles triangles. obtuse isosceles\tnot obtu…
To solve this, we first recall the definitions: - An **isosceles triangle** has at least two equal sides (marked by tick marks) or two equal angles. - An **obtuse triangle** has o…
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using the pencil, plot the point (-3, 1).
The point $(-3, 1)$ is plotted 3 units left of the origin on the x-axis, then 1 unit up along that vertical line.
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name ______ show all steps!! figures are not drawn to scale! use the fi…
1. C. alternate exterior angles 2. B. corresponding angles 3. F. same side interior 4. E. linear pair 5. H. none of the above 6. G. same side exterior 7. D. vertical angles 8. A. …
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what is the slope of this line? (4, 4) (4, 1) options: 3/4, -3/4, 0, un…
undefined
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using the pencil, plot the point (0, -5).
The point is plotted on the y-axis, 5 units below the origin at the position corresponding to $(0, -5)$.
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find the slope of the line. 5/4 4/5 -4/5 -5/4
\(\frac{4}{5}\) (corresponding to the option "4/5")
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in the figure below, m∠sqp = 128°. (a) write an equation to find x. mak…
\( 60 + 4x = 128 \)
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given the figure below, find the values of x and z.
\(x = 13\), \(z = 118\)
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a system of equations is shown on the graph. how many solutions does th…
Infinitely many (or "infinite" or "an infinite number of")
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what is the missing length in the scaled copy? units 90 × ? = 30 scale …
15
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using the pencil, plot the point (4, 5).
The point $(4, 5)$ is plotted 4 units to the right of the y-axis and 5 units above the x-axis on the coordinate grid.
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some questions... 11. what is the slope of the line y = 5? 12. what is …
11. $0$ 12. Undefined 13. Undefined 14. - Graph of $y=3$: Horizontal line through $(0,3)$; graph of $y=3x$: Straight line through $(0,0)$ with slope 3. - Difference: $y=3$ is a ho…
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given the figure below, find the values of x and z. the figure shows tw…
\(x = 10\), \(z = 62\)
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graph the system of equations. $y = \\frac{4}{5}x + 1$ $y = -\\frac{1}{…
The system of equations \( y=\frac{4}{5}x + 1 \) and \( y=-\frac{1}{5}x+6 \) intersects at the point \( (5,5) \). To graph the system, plot the y - intercepts \( (0,1) \) for the …
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in the figure below, m∠1 = 128°. find m∠2, m∠3, and m∠4. m∠2 = m∠3 = m∠…
\( m\angle2 = 52^\circ \), \( m\angle3 = 128^\circ \), \( m\angle4 = 52^\circ \)
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in the figure below, m∠2 = 46°. find m∠1, m∠3, and m∠4. m∠1 = \\(\\squa…
\( m\angle1 = 134^\circ \), \( m\angle3 = 134^\circ \), \( m\angle4 = 46^\circ \)
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19. farrah sketched a map of the inside of the school building. she gra…
\((-3,-4)\) ### Part B To plot the point \((-3,-4)\) on the coordinate plane: 1. Start at the origin \((0,0)\). 2. Move 3 units to the left along the \(x\) - axis (because the \(x…
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original | scaled copy 5 | ? 3 | 6 4 | 8 what number can you multiply e…
2
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18. what is the vertical distance between points a and b on the coordin…
6
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find the missing side length, in units, in the scaled copy. original | …
30
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17. what is the horizontal distance between the points: a(-2, -1) and b…
3
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what is the volume of this figure? (with a 3d purple figure labeled wit…
108 cubic feet
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ides 2 r - 3 ≤ 2 s + - 1 + 5 ≤ 2 + 3 on the number lines.
The solution to the inequality \( r - 3 \leq 2 \) is \( r \leq 5 \), and it is graphed with a closed circle at 5 and shading to the left on the number line.
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what is the volume of this figure? 3 yd. 14 yd. 3 yd. 4 yd. 3 yd. 11 yd…
258
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2- des triangles semblables les quatre triangles abc suivants sont semb…
## Triangle #2: a) $AB = \frac{1330}{43} \approx 30.93$ dm b) $BC = \frac{760}{43} \approx 17.67$ dm ## Triangle #3: a) $AC = \frac{344}{7} \approx 49.14$ dm b) $BC = \frac{160}{7…
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a. fill in the blanks directions: read each sentence and choose the wor…
for 1**: reversible 2. **Explanation for 2**: The weight gain was over six months, so it was slow/step - by - step. "Gradual" means happening slowly over time.