幾何
三角形、円、座標幾何、証明問題。
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write an equation of the line below.
\(y = - 7x-1\)
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find the distance between the two points in simplest radical form.
$4\sqrt{2}$
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find the distance between the two points in simplest radical form.
$4\sqrt{2}$
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oscar has a map of the campground where he is staying. the scale shows …
$\frac{1}{2}$ ### Second Sub - Question (Actual distance to the beach)
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the scale drawing shows the dimensions of a motel. the scale is shown i…
5
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solve for x. round to the nearest tenth, if necessary. triangle image w…
$x\approx38.6$
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the triangle below is isosceles. find the length of side ( x ) in simpl…
\(2\sqrt{2}\)
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
To graph \(\frac{x^{2}}{4}+\frac{y^{2}}{9}=1\): 1. Recognize it as a vertical ellipse centered at \((0,0)\) with \(a = 3\) (semi - major axis) and \(b=2\) (semi - minor axis). 2. …
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circle n is a dilation of circle m with point r as the center of dilati…
2
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select the correct answer from each drop - down menu. consider right tr…
sin(A) = opposite/hypotenuse = 9/41 cos(A) = adjacent/hypotenuse = 40/41
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
To graph \(\frac{x^{2}}{4}+\frac{y^{2}}{9}=1\): 1. Recognize it as a vertical ellipse centered at \((0,0)\) with \(a = 3\) (semi - major axis) and \(b=2\) (semi - minor axis). 2. …
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find the perimeter of $\\triangle fgh$. round your answer to the neares…
315.9
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find the perimeter of $\\triangle fgh$. round your answer to the neares…
315.9
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select the correct answer from each drop - down menu. consider right tr…
sin(A) = opposite/hypotenuse = 9/41 cos(A) = adjacent/hypotenuse = 40/41
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plot $1\\dfrac{7}{10}$ and $2\\dfrac{4}{5}$. number line from 0 to 3 wi…
To plot \(1\frac{7}{10}\) (1.7) and \(2\frac{4}{5}\) (2.8) on the number line: - For \(1\frac{7}{10}\): Locate 1 on the number line, then move 7 tenths (7 small ticks, each repres…
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try again your answer is incorrect. plot $1\\frac{1}{3}$ and $2\\frac{7…
To plot \( 1\frac{1}{3} \): From the number 1 on the number line, move \( \frac{1}{3} \) (or \( \frac{3}{9} \)) of the way towards 2. To plot \( 2\frac{7}{9} \): From the number 2…
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2. what is the area of the composite figure? a) 16 cm² c) 32 cm² b) 80 …
b) $80 \text{ cm}^2$
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0, 3)\) and \((0,-3)\) and co - vertices at \((2,0)\) and \((-2,0)\). To draw it, plot the points \((0…
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find p. right triangle with angles 30°, 60°, 90°, one leg 9√3 yd, hypot…
\(18\)
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which angles are adjacent to each other? select all that apply. (image …
$\angle5$ and $\angle6$, $\angle6$ and $\angle2$, $\angle4$ and $\angle6$
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pythagorean theorem converse given a triangle with sides a, b, and c: -…
### Pythagorean Theorem Converse Rules: - If $\boldsymbol{a^2 + b^2 = c^2}$, then the triangle is $\boldsymbol{\text{right}}$. - If $\boldsymbol{a^2 + b^2 > c^2}$, then the triang…
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what is the value of x? (with a right - angled triangle image, one angl…
\(x = 40^\circ\)
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determine whether each set of measurements can form a triangle. select …
Yes (but the image has No, maybe a mistake) ### Part b: Side lengths \( 90^\circ \)? No, part b is side lengths: \( 3 \) inches, \( 7 \) inches, \( 90^\circ \)? No, part b is side…
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which rule explains why these triangles are similar? (image of two tria…
AA
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what is the value of x in the triangle? triangle with right angle, 30°,…
B. 7.5
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select the correct answer. consider triangle efg. what is the approxima…
C. 41.4°
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select the correct answer. an observatory is 150 feet high. when a pers…
A. 322 feet
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select the correct answer from each drop-down menu. consider the given …
Length of PR: 8.07; Measure of ∠J: 35.30°
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select the correct answer from each drop-down menu. consider the given …
Length of PR: 8.07; Measure of ∠J: 35.30°
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what is the height, x, of the equilateral triangle? triangle with 60° a…
A. \(7\sqrt{3}\) inches
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rounded to the nearest tenth, what is the area of rectangle abcd? image…
A. 70.1 square feet
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triangle xyz has an altitude of h. jayden proves the area of \\(\\trian…
B. The area of △XYZ is incorrect. It should be $\frac{1}{2}xyh$.
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solving for interior angle measures what is the m∠acb? ○ 10° ○ 50° ○ 90…
50° (Option: 50°)
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what is the value of x in the triangle? triangle with legs 10, 10 and h…
A. \(10\sqrt{2}\)
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select the correct answer from each drop - down menu. a student began a…
set the expressions for h equal
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select the correct answer from each drop-down menu. a student began a p…
express h in terms of angle X and side z
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find the value of x. (there is a triangle with angles x°, 116°, 31° and…
\(x = 33\)
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select the correct answer from each drop-down menu. consider right tria…
sin(A) = opposite/hypotenuse = 9/41; cos(A) = adjacent/hypotenuse = 40/41
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name: pythagorean theorem - used to find the missing ______ of a ______…
1. $x=\sqrt{149}\approx12.21$ 2. $x=4\sqrt{5}\approx8.94$ 3. $x=\sqrt{473}\approx21.75$ 4. $x=\sqrt{191.93}\approx13.85$ 5. $x=\sqrt{481}\approx21.93$ 6. $x\approx14.02$ 7. $x=2\s…
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find the shortest side of δcde.
CD
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find the smallest angle of $\\triangle wxy$. triangle with sides: $wx =…
The smallest angle of \(\triangle WXY\) is approximately \(50^{\circ}\) (or more precisely, approximately \(49.8^{\circ}\))
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select the correct answer. the shortest side of a right triangle measur…
B. 6
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tobias wants to add a wooden trim to a triangular window with the dimen…
A. 15.4 ft
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drag each length to the correct location on the triangle. each length c…
The missing side lengths are 4 and 8.
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select the correct answer. what is the value of x? triangle with right …
D. 10.6
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in the given figure, δabc is a right triangle. what is true about δabc?…
C. sin(A) = cos(C) and cos(A) = sin(C)
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angles r and w are complementary. what is the value of x? (there is a d…
\(x = 9\)
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find the measure of the complement and the measure of the supplement of…
Complement: \( 32^\circ \) Supplement: \( 122^\circ \)
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select the correct answer. lucy started the proof of the law of cosines…
B. Step 2 – the sine ratio was applied incorrectly
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which expression gives the area of triangle qrs? triangle image with si…
C. $\frac{1}{2}(9)(15)\sin(20^\circ)$
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in triangle qrs, what is the approximate measure of angle q? triangle i…
A. 87.7°
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what is the approximate length of side ab in triangle abc? a. 15.2 unit…
A. 15.2 units
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lateral and total surface area of rectangular prisms. ill correctly sol…
\( 120 \)
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solve the given right triangle for its missing angle and side measures.…
D. m∠D = 55°, DE ≈ 8.40 units, DF ≈ 14.05 units
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in right triangle xyz, ∠x and ∠z are complementary angles and cos(x) is…
A. $\frac{9}{11}$
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two gymnasts are performing a floor routine before an audience. debbie …
B. 24.3 feet
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select the correct answer from the drop - down menu. a boat is 200 feet…
232 ft
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use the figure below to complete each exercise. figure showing two inte…
\(b = 14\)
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find the area of the blue shaded region. 22 in 18 in 4 in 5 in 4 in 5 i…
336
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find the area of the blue shaded region. 10 cm 8 cm 3 cm a = ? cm² roun…
\( 51.73 \)
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round your answer to the nearest hundredth. (there is a right triangle …
2.42
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the diagram shows the angles at which certain streets meet at an inters…
If we assume that the angle formed by Fourth Street and Reach Lane is \((4x - 4)^\circ\), and after solving \(x = 16\), the measure of the angle is \(60^\circ\). (If the question …
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5. a map uses a scale of 1 cm = 10 km. what real distance does 7 cm rep…
5. 70 km 6a. 5 inches 6b. 3 inches
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find \\( \\sec \\theta \\), \\( \\sin \\theta \\), and \\( \\tan \\thet…
$\sec\theta = \frac{10}{\sqrt{51}}$, $\sin\theta = \frac{7}{10}$, $\tan\theta = \frac{7}{\sqrt{51}}$
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5. a map uses a scale of 1 cm = 10 km. what real distance does 7 cm rep…
5. 70 km 6a. 5 inches 6b. 3 inches
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question 1 (10 points) in which quadrant would each of the following po…
1) Quadrant II 2) Quadrant IV 3) Quadrant II 4) Quadrant III 5) Quadrant IV 6) Quadrant I 7) Quadrant III 8) Quadrant II 9) Quadrant I 10) Quadrant III
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in the diagram, \\(\\overline{rp}\\) and \\(\\overline{tg}\\) intersect…
\( 20 \)
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graph the line using the slope and y-intercept. graph the line through …
The line is graphed by first plotting the y - intercept \((0,1)\), then using the slope \(\frac{5}{6}\) (rise = 5, run = 6) to find another point (e.g., \((6,6)\)) and drawing a s…
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identify the next figure in the pattern. choose the correct answer belo…
B. <The figure with 5 nested concentric squares>
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graph the line using the slope and y-intercept. graph the line through …
The line is graphed by first plotting the y - intercept \((0,1)\), then using the slope \(\frac{5}{6}\) (rise = 5, run = 6) to find another point (e.g., \((6,6)\)) and drawing a s…
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in the diagram below, $\\triangle svu \\cong \\triangle tuv$. complete …
- For statement 2: Corresponding parts of congruent triangles are congruent. - For statement 5: Side - Side - Side (SSS) Congruence Postulate. - For statement 6: Corresponding par…
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circle d has a radius of 3 centimeters. what is the length of \\(\\over…
\(\frac{11}{6}\pi\)
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15 if a rectangular prism with a length of 12 feet and a width of 9 fee…
17 feet
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parallel lines to solve angle measure in the figure below, r || s, m∠3 …
# Explanation: ## Step1: Verify the angle relationship Since \( r \parallel s \), \( \angle 3 \) and \( \angle 6 \) are consecutive interior angles, so they are supplementary (sum…
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lets get started! question 1: if a triangle has a base of 4 cm and a he…
$6\ \text{cm}^2$
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for what value of x is the quadrilateral a parallelogram? 5. diagram of…
1. $x=7$ 2. $x=8$ 3. $x=1$ 4. $x=79$ 5. $x=36$ 6. $x=6$
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how many solutions does the system of linear equations represented in t…
Infinitely many solutions
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lated by l. cranmer-byng in the quiet silence, on upon hill and plain, …
C. "As the wind - drawn note of the bamboo flute"
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read the passage. dark star giselle leaned against the mahogany bay hor…
by showing that Giselle does not easily give up on her desires
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items 11–12. parallelogram jklm is shown. 11. what is ( mangle ljm )? 1…
\( x = 19 \), \( JR = 33 \) ### Question 13 Solution:
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read the passage. dark star giselle leaned against the mahogany bay hor…
by showing that Giselle does not easily give up on her desires
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what is the rule that describes the translation that maps δlmn onto δlm…
The translation rule is \( (x,y)\to(x + 2,y - 4) \) or in words "2 units to the right and 4 units down". (Assuming the options include this, if the options were like "2 units righ…
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i still keep in mind a certain wonderful sunset which i witnessed when …
3. His way of seeing the river shifts from mysterious wonder to objective analysis as he becomes a steamboating expert.
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i still keep in mind a certain wonderful sunset which i witnessed when …
3. His way of seeing the river shifts from mysterious wonder to objective analysis as he becomes a steamboating expert.
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write an equation of the line below.
\(y = -\frac{1}{2}x-\frac{1}{2}\)
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determine what possible measures the third side of the triangle will be…
The third side must satisfy \( 8 < x < 26 \) ### Problem 25: Sides 30 and 11
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parallel lines cut by a transversal identify the types of angles. all h…
\( m\angle3 = 83^\circ \), \( m\angle5 = 83^\circ \), \( m\angle10 = 97^\circ \), \( m\angle7 = 97^\circ \), \( m\angle9 = 83^\circ \), \( m\angle16 = 97^\circ \)
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in the figure below, z is the center of the circle. suppose that qr = 5…
\( x = 5 \) \( VS = 12 \)
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the convex polygon below has 7 sides. find the value of x. (the polygon…
$12^\circ$
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express sin g as a fraction in simplest terms. answer attempt 1 out of …
$\frac{3}{5}$
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name: aden fasa date: 1-14-26 per: 2nd hour unit 4: solving quadratic e…
$5i$ Now problem 2: $\boldsymbol{\sqrt{-324}}$
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1 △doc is a right triangle where m∠doc = 90°, od = 13, and oc = 17. how…
21.4 (Option A)
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in a right triangle, a and b are the lengths of the legs and c is the l…
3.9 meters
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in the figure below, g || m. find the values of x and y. x = y = (there…
$x = 67$ $y = \frac{112}{3}$ (or approximately $37.33$)
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trigonomet...aze, put a circle around the angle, label the two given si…
\(23.4\)
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select the angle(s) with measures that are less than m∠7 □ a) ∠5 □ b) ∠…
The angles with measures less than \( m\angle 7 \) are \( \boldsymbol{\angle 2} \) and \( \boldsymbol{\angle 3} \) (and possibly others, but from the options, \( \angle 2 \) and \…
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hw - 04.01 ready, set, go possible points: 6.67 match the equation of t…
- $K(0,0);L(-4,5)$ matches with $y =-\frac{5}{4}x$ - $X(-1,7);Y(3,-1)$ matches with $y=-2(x + 1)+7$ - $T(-1,-9);V(5,18)$ matches with $y=\frac{9}{2}(x + 1)-9$
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select the angles with measures that are greater than m∠1 options: a) ∠…
To solve this, we use the **Exterior Angle Theorem** (an exterior angle of a triangle is greater than any non - adjacent interior angle) and the concept of angle relationships in …
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start1 x 31 71° 23.4 x 39 59° 16.8 h 19 28° a x cos(28) = 17.5 27 x 38°…
For the start triangle, \( x\approx16.8 \); for the triangle with \( 59^{\circ} \) angle, \( x\approx23.4 \) (depending on the triangle, the answer varies. If we take the start tr…
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find the volume of an oblique cylinder with a base diameter of 6 m and …
904 $\text{m}^3$