幾何
三角形、円、座標幾何、証明問題。
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draw the image of $\\triangle abc$ under a translation by 5 units to th…
The vertices of the translated triangle are $A'(-6, 1)$, $B'(-4, -3)$, $C'(-2, 0)$. When plotted and connected, this forms the image of $\triangle ABC$ translated 5 units left.
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quadrilateral abcd is the image of quadrilateral abcd under a dilation.…
$\frac{1}{2}$
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plot the image of quadrilateral abcd under a reflection across the y-ax…
The reflected quadrilateral $A'B'C'D'$ has vertices at $(-1, -3)$, $(-2, -6)$, $(-4, -4)$, and $(-3, -2)$. When plotted and connected, this is the image of $ABCD$ reflected across…
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△abc is the image of △abc under a rotation about the origin, (0,0). gra…
B. $90^\circ$ counterclockwise D. $270^\circ$ clockwise
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find the midpoint of the segment with the following endpoints. (-2, 3) …
$(3, \frac{1}{2})$
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quadrilateral k is the image of quadrilateral k under a dilation. what …
D. \(D\)
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draw the line of reflection that reflects quadrilateral abcd onto quadr…
The line of reflection is $\boldsymbol{x=\frac{5}{2}}$ (or $x=2.5$), a vertical line passing through $x=2.5$ on the coordinate plane.
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solve the linear inequality for m. graph your answer in the number line…
Inequality notation: $m < -6$ Graph: Open circle at $-6$, shading to the left.
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draw the image of quadrilateral abcd under a translation by 2 units to …
The coordinates of the translated quadrilateral $A'B'C'D'$ are: $A'(-2, -4)$, $B'(5, -6)$, $C'(6, -4)$, $D'(-3, -2)$ (When drawn on the grid, connect these four points to form the…
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solve the linear inequality for m. graph your answer in the number line…
Inequality notation: $m \geq 6$ For the number line graph: Draw a closed circle at 6, and shade the line to the right (towards infinity).
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point ( a(2, 3) ) is the image of ( a(3, -4) ) under a translation. det…
A translation by 1 units to the left and 7 units up
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solve the linear inequality for k. graph your answer in the number line…
Inequality notation: $k \leq 2$ Number line: Closed circle at 2, shading to the left (towards $-\text{infinity}$)
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graph the inequality below on the number line. (a > -8) (there is a num…
To graph \( a > -8 \): - Place an **open circle** at \(-8\) (since \( a eq -8 \)). - Draw an arrow starting at the open circle and pointing **to the right** (towards values grea…
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find the area. a = ? ft² (there is a parallelogram with base 12 ft, hei…
\( 168 \)
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graph the inequality below on the number line. $b < 4$ number line from…
To graph \( b < 4 \) on the number line: - Place an open circle at \( 4 \) (since \( 4 \) is not included in the solution). - Draw a ray (line with an arrow) starting from the ope…
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solve the linear inequality for c and graph the answer in the number li…
Inequality notation: $c < 0$ Graph description: Open circle at 0, shading to the left on the number line.
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name: date: 1-4-26 per: 7th unit 8: special right triangles day 3: spec…
\(a = 9\), \(b = 9\sqrt{2}\) ### Problem 2:
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write an expression that represents the perimeter of the figure below. …
$8k + 2j$
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challenge #5 plot five parabolas, one through each set of color - coord…
To determine the equations of the parabolas, we analyze the vertex form of a parabola \( y = a(x - h)^2 + k \), where \((h, k)\) is the vertex. Since most points lie on the x - ax…
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use the given information to complete the proof of the following theore…
| Statement | Reason | |-----------|--------| | 1. $ABCD$ is a parallelogram | Given | | 2. $\overline{AB} \parallel \overline{DC}$ | Definition of a Parallelogram | | 3. $\overli…
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find the tangent of ∠k. simplify your answer and write it as a proper f…
\( \frac{15}{8} \)
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darryl organized his old school supplies into pencil boxes. he put 5 pe…
$4$
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which angles are adjacent to each other? select all that apply. image o…
$\angle5$ and $\angle6$, $\angle11$ and $\angle12$
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express the interval using two different representations. 0 ≤ x ≤ 7 ans…
Interval Notation: $[0, 7]$ Number Line: A number line with closed (filled) circles at 0 and 7, and a solid green line segment connecting the two circles.
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3 numeric 1 point if the scale factor of figure a to figure b is 4:5, f…
12
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2 fill in the blank 1 point the pairs of polygons below are similar. gi…
$\frac{1}{2}$
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which is the best way to complete the text? francis scott key penned th…
Fort McHenry; he
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1. when the versailles treaty was signed, germany still had troops occu…
Belgium (the option with "Belgium" as the text, which was marked with the yellow circle in the original question's interface)
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instruction: determine the mirror image of the following with respect t…
### For Problem 1 (Mirror Image over Vertical Dashed Line) #### Step 1: Identify Key Points of the "L" Shape Let's denote the vertices of the "L" shape. Let the bottom - left corn…
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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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find the value of b in the diagram below. diagram: four rectangles each…
$5$
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exploring the properties of reflections explore the properties of refle…
\( CL = \boxed{2.8} \) units, \( LC' = \boxed{2.8} \) units
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in the coordinate plane, points a, b, and c have coordinates (1,2), (4,…
1. The figure is a right triangle. 2. $\frac{9}{2}$ (or 4.5) 3. The coordinates of point $D$ are $(1, -1)$. When plotted, $AD$ is vertical (matches the vertical side $BC$) and $CD…
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a net for a three - dimensional figure is shown on grid paper. each squ…
72
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slumbers trapped base nest poisoned comes cycle fair mordor entangled i…
1. Nest 2. Trapped 3. Slumbers 4. Comes 5. Poisoned
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given: ∠abc ≅ ∠def and ∠ghi ≅ ∠def prove: m∠abc = m∠ghi (there is a box…
The statement $\boldsymbol{\angle ABC \cong \angle DEF}$ should be added with the reason "given". Then, using the transitive property of congruence (and the fact that congruent an…
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a circular fountain has a diameter of 16 meters. what is its area? a. 2…
a. 200.96 m²
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if you slice a circle into 4 equal sectors, what is the area of one sec…
a. $16\pi$ cm²
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a circular fountain has a diameter of 16 meters. what is its area? a. 2…
a. $200.96\ \text{m}^2$
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the radius of a circular garden is 9 meters. what is its area? a. $81\\…
a. $81\pi \text{ m}^2$
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what is the slope of this line? simplify your answer and write it as a …
$\frac{-5}{8}$
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challenge - can you practice all 14 works of mercy? circle the works of…
1. I shared my treasure (money) to purchase the snacks for my sisters. 2. I saw the image of Jesus as a caring provider who looks after the needs of those in his care, especially …
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from the top of a 38 metre tall building, i look down to the street bel…
The car is moving away from the building.
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page 187: a weekend challenger... from the top of a 38 metre tall build…
The car is moving away from the building. (Sketch: Vertical building, two horizontal lines from top, two lines of sight with \(67^\circ\) and \(22^\circ\) angles to horizontal, in…
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find the value of x. (there is a triangle with angles 45°, 53° and x°) …
\(x = 82\)
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find the value of x. (there is a right triangle with one angle 58°, one…
\(32\)
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progress: question id: 1063986 the movement of the progress bar may be …
The correct option is the fourth one: I read “Gone with the Wind,” but I have not seen the movie. (The option with the blue circle, which punctuates the title by using quotation m…
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rectangles q and r are similar. if the area of rectangle q is 294, what…
The area of rectangle R is \( 2.94 \).
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rectangles e and f are similar. if the area of rectangle e is 12, what …
The area of rectangle F is \( 9.72 \).
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writing a two-column proof given: ∠abc ≅ ∠def and ∠ghi ≅ ∠def prove: m∠…
2. $\angle GHI \cong \angle DEF$ 2. given 3. $\angle ABC \cong \angle GHI$ 3. transitive property 4. $m\angle ABC = m\angle GHI$ 4. definition of $\cong$ angles
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writing a two-column proof given: ∠abc ≅ ∠def and ∠ghi ≅ ∠def prove: m∠…
**Statements**: $\angle ABC \cong \angle DEF$, $\angle GHI \cong \angle DEF$, $m\angle ABC = m\angle GHI$ **Reasons**: Given, Given, Transitive Property of Congruence (and Definit…
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algebra 1 semester review equations, inequalities, linear functions, an…
1. A. -27 2. A. -17 3. C. x < 4 4. D. x ≥ -16 5. B. 4 days 6. C. {0,2,3,4} 7. B. {-2,0,1,3} 8. D. -2 ≤ y ≤ 4
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write an equation of the line below. try again your answer is incorrect.
\(y=\frac{1}{2}x + 2\)
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name: shinu kiru area of a fox directions: find the area of each shape,…
To find the total area of the fox, we calculate the area of each shape (rectangles and triangles) and sum them up. ### Step[SSE onError error]
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in parallelogram pqsr, what is pq? options: 2 cm, 5 cm, 6 cm, 9 cm the …
9 cm
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what is the measure of angle l in parallelogram lmno? options: 20°, 30°…
B. 40°
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what is the missing reason in step 6? statements\treasons 1. \\(\\overl…
CPCTC
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what is the missing reason in step 6? statements 1. $overline{ad} \\con…
CPCTC
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multiple choice circle the correct answer. 1. solve for x: 2(3x - 5) = …
1. D. x = 8 2. A. -6x + 10 3. C. 15
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multiple choice circle the correct answer. 1. solve for x: 2(3x - 5) = …
1. D. x = 8 2. A. -6x + 10 3. C. 15
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question write an expression that represents the perimeter of the figur…
$P=8k+2j$
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a triangle has side lengths of (9.7d - 9.3) centimeters, (6.6d - 8.6) c…
16.3d + 4.6f - 25.6
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graph $x < 0$. (number line with -5 to 5, green dot at 0, green line to…
To graph \( x < 0 \): 1. **Make the circle open**: Because \( x = 0 \) is not a solution (the inequality is strict, \( < \), not \( \leq \)). 2. **Switch direction**: The solution…
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graph $x > -4$. (number line from -5 to 5 with -4 marked by an open cir…
To graph \( x > -4 \): 1. Locate \( -4 \) on the number line. 2. Draw an open (unfilled) circle at \( -4 \) (because \( -4 \) is not a solution, as the inequality is \( > \), not …
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graph $x \\leq -1$. how do i graph the inequality?
1. Draw a closed (filled) circle at \( x = -1 \) on the number line. 2. Draw a line extending to the left from the closed circle to represent all values of \( x \) that satisfy \(…
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graph $x \\geq 3$. -5 -4 -3 -2 -1 0 1 2 3 4 5 switch direction make cir…
To graph \( x \geq 3 \): 1. Find \( x = 3 \) on the number line. 2. Draw a closed (filled) circle at \( x = 3 \) (because \( \geq \) includes the boundary point). 3. Draw an arrow…
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lesson 44 factors and multiples find the least common multiple by listi…
14 ### Problem 2: Find the least common multiple of 4 and 10
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colleen lives 28 miles due south of her parents house and 96 miles west…
240 miles
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joey is deep - sea diving with two friends. isaac is exploring a coral …
36
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find the tangent of ∠e. (there is a right triangle edc with right angle…
\(\frac{77}{36}\)
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find the tangent of ∠c. simplify your answer and write it as a proper f…
$\frac{12}{5}$
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select the correct answer. create and solve a linear equation that repr…
A. \( x + 6 = 10; x = 4 \)
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find the tangent of ∠y. simplify your answer and write it as a proper f…
\(\frac{12}{5}\)
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find the tangent of ∠p. right triangle pqr with right angle at r, rq = …
\( \frac{12}{5} \)
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find the tangent of ∠y. w y 65 33 x simplify your answer and write it a…
$\frac{56}{33}$
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find the tangent of ∠i. simplify your answer and write it as a proper f…
$\frac{80}{39}$
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find the tangent of ∠y. simplify your answer and write it as a proper f…
$\frac{15}{8}$
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write the equation of the line in fully simplified slope-intercept form.
$y=-4x + 8$
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write the equation of the line in fully simplified slope-intercept form.
\( y = -x + 4 \)
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assignment #2: triangle proportionality theorem verify that the given s…
equal, therefore the lines are parallel
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12. snowfall use the graph at the right. it shows the depth in feet of …
The slope of the line is \(\frac{1}{4}\) (or 0.25). ### Part (b)
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how many solutions can a system of 3 linear equations have? explain. ch…
C. The system has one solution if all 3 lines intersect at the same point. It has infinitely many solutions if all 3 lines intersect at every point. It has no solution in all othe…
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find the slope of the line that passes through each pair of points. 9. …
\( \frac{4}{3} \) ### Problem 10: \( C(3, 5), D(2, 6) \)
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example 2 using properties of a parallelogram as shown, part of the ext…
\(70^\circ\)
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7. homes find the slope of the roof of a home that rises 8 feet for eve…
The slope of the roof is \(\frac{1}{3}\). ### Problem 8:
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select the correct answer from each drop down menu. an office buys a br…
The radius of each circle is approximately 4 feet, and the area of each circle is approximately 50 square feet. Together, with the area filled in between the circles, the table is…
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example 1 using properties of parallelograms find the values of x and y…
\( x = 8 \), \( y = 65^\circ \)
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select the correct answer from each drop - down menu. an office buys a …
The radius of each circle is approximately 4 feet, and the area of each circle is approximately 50.27 square feet. Together, with the area filled in between the circles, the table…
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type the correct answer in the box. use numerals instead of words. if n…
6
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in santa fe district v. doe, the court ruled that student - led prayer …
The games were too closely related to an official school activity, showing religious support.
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question 2 of 5 select the correct answer from the drop - down menu. jo…
The 5-sided figure with the largest area for a given perimeter is a **regular** pentagon. Since Jody has 20 yards of fencing, the sides of the figure must measure **4** yards. The…
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question 1 of 5 select the correct answer from each drop-down menu. a c…
The area of one triangle is approximately 5.43 square feet. The total area of the table is approximately 43.45 square feet.
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consider $\\triangle xyz$ in the figure below. the perpendicular bisect…
\( XS = 80 \) \( YZ = 132 \) \( VY = 64 \)
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4. find the measure of angle x.
$135^\circ$
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explore the properties of angles and arcs formed by two intersecting se…
2
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which equation is correct regarding the measure of $\\angle 1$? $\\bigc…
\( m\angle1=\frac{1}{2}(b - d) \) (the option with \( m\angle1=\frac{1}{2}(b - d) \))
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drag the red vertical line to find the y-values: orange graph: when x=1…
Orange graph: \( y = -1 \) (assuming the line is \( y = x - 2 \)) Blue graph: \( y = 1 \) (assuming the upper part of the curve) (Note: The actual values may depend on the exact g…
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is this a polygon? yes no
no
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consider triangle qrs. the legs each have a length of 10 units. what is…
\(10\sqrt{2}\) units
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think about the process the length of a rectangle is twice the width. t…
A. Estimate $\sqrt{45}$. 13.4 units long and 6.7 units wide.