幾何
三角形、円、座標幾何、証明問題。
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25 a parallelogram is both a rhombus and a rectangle, but not a square.…
B. False
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point c is the midpoint of \\(\\overline{ab}\\) and point b is between …
\( 10 \)
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plot the numbers $-\frac{1}{4}$ and $\frac{7}{4}$ on the number line be…
To plot $-\frac{1}{4}$: Mark a point $\frac{1}{4}$ unit to the left of $0$. To plot $\frac{7}{4}$ (or $1\frac{3}{4}$): Mark a point $\frac{3}{4}$ unit to the right of $1$ (or $1\f…
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for each triangle, check all that apply. triangle a 5 5 4 triangle b 20…
- Triangle A: Isosceles (check the Isosceles box) - Triangle B: Isosceles, Equilateral (check both Isosceles and Equilateral boxes) - Triangle C: Scalene (check the Scalene box)
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hi ⊥ gi, gi ⊥ gj, and gj ≅ hi. complete the proof that δgjk ≅ δihk. (im…
For step 5, the reason is "Vertical angles are congruent". For step 6, the reason is "AAS (Angle - Angle - Side) Congruence Criterion".
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4) lift a scissor lift is extended so that the intersection of the supp…
The true statements are $m\angle ACB = 67^\circ$ and $m\angle ACE = 113^\circ$ (so the first and fourth options: $\boldsymbol{m\angle ACB = 67^\circ}$, $\boldsymbol{m\angle ACE = …
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are the triangles below acute, obtuse, or right? triangle a triangle b …
Triangle A: Obtuse Triangle B: Acute Triangle C: Acute Triangle D: Right (For each triangle, the selected option is: Triangle A: Obtuse Triangle B: Acute Triangle C: Acute Triangl…
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27 find the missing side in the triangle below. round to tenths if nece…
\(12.1\space\text{cm}\)
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questions 7 through 15 refer to the following. read the following poem …
B. is depicted in a photograph that has captured the speaker’s attention
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consider the line $y = \\frac{2}{5}x - \\frac{2}{5}$. what is the slope…
Slope of a parallel line: \(\frac{2}{5}\) Slope of a perpendicular line: \(-\frac{5}{2}\)
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4) lift a scissor lift is extended so that the intersection of the supp…
\( \boldsymbol{(-3.8, -0.4)} \) (the first option) ### Problem 6 (Incomplete Sequence, but Assuming Sequence 3, 20, 37, 54...):
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t is the midpoint of \\(\\overline{pr}\\). complete the proof that \\(\…
- For step 3: Reason is "Definition of a midpoint" - For step 4: Reason is "Vertical Angles Theorem" - For step 5: Reason is "ASA Congruence Postulate"
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altitude a segment joining a ______ to the opposite side so that it is …
1. perpendicular bisectors 2. angle bisectors 3. medians 4. altitudes 5. circumcenter 6. incenter
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$\\angle vxw \\cong \\angle xvy$ and $\\angle wvx \\cong \\angle vxy$. …
- For Statement 3 Reason: Reflexive Property of Congruence (a segment is congruent to itself) - For Statement 4 Reason: AAS (Angle - Angle - Side) Congruence Criterion
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point n(7, -8) is the image of point n(7, 8) under a reflection. what i…
A. \((-4, 10)\)
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4. what is the range of the graph shown below? a. -1 ≤ x ≤ 4 b. -3 ≤ x …
D. \( -3 \leq y \leq 2 \)
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two parallel lines are cut by a transversal as shown below. suppose m ∠…
# Explanation: ## Step1: Find \( m\angle 2 \) \(\angle 7\) and \(\angle 2\) are corresponding angles (since two parallel lines cut by a transversal, corresponding angles are equal…
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$\\overline{wx} \\parallel \\overline{vy}$. complete the proof that $\\…
3. Reason: Vertical Angles Theorem 4. Reason: Alternate Interior Angles Theorem 5. Reason: AAS (Angle - Angle - Side) Congruence Criterion
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from \speech to the association of los alamos scientists\ by robert opp…
The option (the third one, with the purple background? Wait, looking at the options: the third option (the one with the circle that's in the purple area? Wait, the options are: 1.…
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below is a right triangle △mno where mo = a, on = b, and mn = c. an alt…
For step 2 (∠OMN ≅ ∠PMO), the reason is "Reflexive Property of Congruence (common angle)". For step 3 (△MNO ~ △MOP), the criterion is "AA (Angle - Angle) similarity". For step 4, …
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give a pair of alternate interior angles, a pair of corresponding angle…
(a) Alternate Interior angles: \( \angle 3 \) and \( \angle 5 \) (or \( \angle 4 \) and \( \angle 6 \)) (b) Corresponding angles: \( \angle 1 \) and \( \angle 5 \) (or \( \angle 2…
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1) refer to the figure. select four points that are collinear.
\( C \), \( D \), \( E \), \( F \) (the checkboxes for \( C \), \( D \), \( E \), \( F \) should be selected)
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1. $overline{st} cong overline{tu}$; reason: given 2. $angle rts cong a…
Angle - Side - Angle (ASA) Congruence Postulate
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△svw is equilateral. complete the proof that △uvw ≅ △uts. (image of a g…
Angle - Side - Angle (ASA) Congruence Criterion
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given the figure below, find the values of x and z. (figure of two inte…
\( x = 4.75 \) (or \( \frac{19}{4} \)) \( z = 97 \)
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the hypotenuse of a right triangle is 34 inches. one leg of the triangl…
A. \( 2x^2 - 28x = 960 \)
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28 find the area of the sector of the circle pictured below. (you shoul…
with \( \pi \): \( 130.5\pi \) square feet
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you might need: calculator find the length of \\(\\overline{lw}\\). if …
\( 17.5 \)
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given the figure below, find the values of x and z. your answer (9x + 1…
# Explanation: ## Step1: Identify Vertical Angles The angles \((9x + 11)^\circ\) and \((15x - 95)^\circ\) are vertical angles, so they are equal. Set up the equation: \(9x + 11 = …
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incorrect your answer is incorrect. in the figure below, ( mangle abd =…
\( 72 \)
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32 write an expression that represents the perimeter of triangle. combi…
Perimeter expression: \(6x + 15\); Value of \(x\): \(12.5\) (or \(\frac{25}{2}\))
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in the following triangle, ed || cb. below is the proof that \\(\\frac{…
- Step 8: \(\boldsymbol{\frac{AD + DB}{AD}}\) - Step 9: Reason is "Property of fractions ( \(\frac{a + b}{c}=\frac{a}{c}+\frac{b}{c}\) ) and substitution" (or "Splitting the fract…
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which word can be coded with the following shapes: rectangle, rectangle…
A. program
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you might need: calculator ∠dac = ∠bad. what is the length of \\(\\over…
\( 5.7 \)
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pierre stands on one side of a river and dahlia stands directly across …
420
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geometry midterm 1) refer to the figure. select four points that are co…
Blank 1: 4, Blank 2: 28 ### Problem 3
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33 which of the following sets of lengths can not form a triangle? a 9,…
A. \(9, 14, 24\)
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solve for x to the nearest tenth. triangle with right angle at c, angle…
\(2.7\)
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solve for x to the nearest tenth. (there is a right triangle with one a…
\(116.7\)
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find the length of the hypotenuse to the nearest tenth. right triangle …
\(25.7\)
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a regular hexagon is shown. based on the information in the diagram, wh…
A. \( 165.6 \, \text{in}^2 \)
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solve for x to the nearest tenth. triangle abc with right angle at c, b…
\( 6.2 \)
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find the value of x for the right triangle. 30° 13 x x = \\square
$6.5$ (or $\frac{13}{2}$)
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find the value of x for the right triangle. (right triangle image with …
\(x = 6\)
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34 choose the appropriate value for x for the following similar triangl…
A. 25
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in the following triangle, point e is the midpoint of \\(\\overline{ab}…
- Step 12: The ratio is \(2\), so \(\frac{CB}{DE} = 2\) - Step 13: Substituting, we get \(\frac{CB}{DE}=2\) - Step 14: Multiply both sides by \(\frac{DE}{2}\) (or equivalent expre…
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eleonore wants to prove that if a line divides two sides in a triangle …
B. In \(\triangle ABC\), if \(\boldsymbol{\frac{AE}{EC}=\frac{AD}{DB}}\), then \(\boldsymbol{\overleftrightarrow{ED}\parallel\overline{CB}}\)
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kayla wants to prove the pythagorean theorem: if a triangle is a right …
C. In \(\triangle ABC\), if \(\angle B = 90^{\circ}\), then \(AB^{2}+BC^{2}=AC^{2}\)
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carl wants to prove that if a line is parallel to one side of a triangl…
A. In \( \triangle UVW \), if \( \overleftrightarrow{XY} \parallel \overline{VW} \), then \( \frac{UX}{XV} = \frac{UY}{YW} \).
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36 for a regular polygon with 10 sides, find the measure of each indivi…
\( 144 \)
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graph the line that passes through the points (-8, -4) and (-9, -4) and…
The equation of the line is \( y = - 4 \), and the line is a horizontal line passing through the points \((-8, -4)\) and \((-9, -4)\) (parallel to the x - axis with \( y=-4 \) for…
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use the geometric mean to find x round your answer to the nearest tenth
\( 5.2\)
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cauã is 19 meters away from a capybara that measures 120 centimeters in…
40
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37 for the diagram, determine the number of sides use the polygon angle…
\( n = 8 \) Sum of Interior Angles \( = 1080 \) degrees.
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37 for the diagram, determine the number of sides use the polygon angle…
Assuming the diagram is a pentagon (5 sides): \( n = \boldsymbol{5} \) Sum of Interior Angles = \(\boldsymbol{540}\) degrees. (If the diagram has a different number of sides, adju…
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alba is using one-point perspective to draw a hallway. she uses guideli…
# Explanation: ## Step1: Identify similar triangles The triangles formed by the guidelines and the door segments are similar, so their corresponding sides are proportional. Let \(…
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sarafina and her teammates signed up for an outdoor obstacle course. th…
58
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6. determine the area of the oblique triangle having the following meas…
e) 74.34 sq. units
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8 a system of equations is given. \\(\\begin{cases} 3x + y = 6 \\\\ 6x …
A. \(-1\)
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in the diagram below, \\(\\overline{ts}\\) is parallel to \\(\\overline…
\(14.4\)
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in the diagram below, △for is an isosceles triangle and \\(\\overline{o…
16.0
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9 what is another name for line m? notes: lines can be named with one f…
Line \( BD \) (or \( DB \))
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given that the measure of ∠x is 60°, and the measure of ∠y is 90°, find…
\( 30 \)
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use the diagram to complete problems 1–4. 1. which letter is inside the…
A ### Problem 2
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calculate and compare the surface area of sphere a, which has a radius …
Sphere B's surface area is 25 times as large as Sphere A's (matching Item 14's description: "Sphere A has a surface area of \( 16\pi \) in.² and Sphere B has a surface area of \( …
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the distance between the points (-4, -3) and (5, y) is 9√2. use the dis…
A possible value of \(y\) is \(6\) (or \(-12\))
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(3x + 2)° p (4x - 9)° t u 20° a 40° q k r ∠qpk = 35 ∠qpr = 70
#[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]
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8 what is another name for plane p? plane notes: planes can be named wi…
ABC (or other valid three - non - collinear - point combination like ABE, ADE, BCE etc. But a common answer is Plane ABC, so the box can be filled with ABC as the name part after …
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$\\angle dac = \\angle bad$. what is the length of $\\overline{ac}$? ro…
\( 4.5 \)
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use the diagram below to complete 10-12. (diagram not drawn to scale). …
The two angles \((5x + 40)^{\circ}\) and \((7x)^{\circ}\) are equal (congruent) angles (alternate exterior angles formed by a transversal intersecting two parallel lines). ### Que…
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8 what is the solution to the system of equations shown? a there are in…
B. (1,7)
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in the following triangle, find length ae. round to the nearest tenth. …
\( \boxed{20.2} \)
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in the following triangle, find length wy. round to the nearest tenth. …
\( \boxed{10.0} \)
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what is the volume of a sphere with a radius of 24.2 ft, rounded to the…
The volume of the sphere is approximately \( 59365.9 \) cubic feet.
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question what is the volume of a hemisphere with a radius of 30.8 cm, r…
The volume of the hemisphere is approximately \( 61529.7\space\text{cubic centimeters} \)
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what is the volume of a hemisphere with a radius of 34.1 in, rounded to…
\( 83046.6 \)
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34. find the value of w and identify the theorem or postulate used. a. …
For angle \(w\) (problem 34): \(\boldsymbol{72^\circ}\), Base Angle Thm (option B). For angle \(h\) (problem 35): \(\boldsymbol{108^\circ}\), Linear Pair Postulate (option D). (As…
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unit test click for long desc if △xyz ~ △ayb and yb = 25 ft, ya = 16 ft…
\(56.32\) ft
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find the volume of a pyramid with a square base, where the side length …
\(1243.5\)
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in the following triangle, find length bw. round to the nearest tenth. …
\( 11.0 \)
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find the volume of a right circular cone that has a height of 14.9 cm a…
\( 3.3 \) cubic centimeters
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15 nothing real except the beauty and the calm upon her face 16 and the…
B. It symbolizes longing for home.
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in the following triangle, find length bw. round to the nearest tenth. …
\( 6.4 \)
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for #34 – 35 use the diagram at right. 34. find the value of w and iden…
B. 72, Base Angle Thm.
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find the volume of a right circular cone that has a height of 3.9 ft an…
The volume of the right circular cone is approximately \( 882.7 \) cubic feet.
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in the following triangle, find length ms. round to the nearest tenth. …
\( 2.9 \)
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find the volume of a right circular cone that has a height of 7.4 in an…
\( 56.5 \) cubic inches
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a cylinder has a base diameter of 10 inches and a height of 17 inches. …
\( 1335.2 \)
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what is the muslim system of law based on the writings in the quran? ○ …
D. Sharia (assuming the last option is Sharia, as per the options: the last circle with "Sharia" text)
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pedro was curious if circles a and b (with x and y being on each circle…
B. One more transformation — a dilation — would map circle A onto circle B. So the circles are similar.
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question what is the volume of a cylinder, in cubic feet, with a height…
\( 2790.7 \)
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18. which of the triangles below is not a right triangle? 6 ft, 8 ft, 1…
A. 6 ft, 8 ft, 12 ft
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what is the volume, in cubic feet, of a cylinder with a height of 8 fee…
\( 628.3 \) cubic feet
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17. find the value of x in the figure below. (round your answer to the …
8 inches (the option: 8 inches)
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the bases of the prism below are right triangles. the volume of the pri…
14
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directions step 1: draw/trace any logo or picture on graph 1. step 2: o…
### Table Filling (Example with \( r = 2 \)): | Pre - Image Coordinates | Image Coordinates | | ---- | ---- | | \( A(2,3) \) | \( A'(4,6) \) | | \( B(7,3) \) | \( B'(14,6) \) | | …
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lennox was curious if triangles $\\triangle abe$ and $\\triangle dce$ w…
B. One more transformation — a dilation — would map $\triangle DCE$ onto $\triangle ABE$. So the triangles are similar.
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in circle k with m∠jkl = 46° and jk = 11, find the area of sector jkl. …
\( 48.57 \)
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16. what is the relationship between angles 1 and 2 in the diagram belo…
\(m\angle1>m\angle2\) (the option corresponding to this relationship, e.g., if the option is labeled as " \(m\angle1>m\angle2\) ", then the answer is that option)
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complete the similarity statement. an equilateral triangle is sometimes…
First blank: never Second blank: never