幾何
三角形、圓、解析幾何與證明題。
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look at the diagram which equation can be used to solve for x? $12x + 4…
1. The correct equation is $12x + 42 = 90$ 2. $x = 4$
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applying the 45°-45°-90° triangle theorem a 12-foot ladder is leaning a…
The triangle is isosceles. The leg-to-hypotenuse ratio is $1:\sqrt{2}$ The nonright angles are congruent. The ladder represents the longest length in the triangle.
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given: $overline{tu} parallel overline{xw}$ prove: $xw = 8$ (image of a…
D. Statement: $\frac{XW}{UT} = \frac{VW}{UV}$ Reason: Corresponding sides of similar triangles are proportional.
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worksheet 1 what is the lateral surface area of the cylinder? round to …
Let's solve each problem step by step using the formulas for the lateral surface area (\(LSA = 2\pi rh\)) and total surface area (\(TSA = 2\pi r^2 + 2\pi rh\)) of a cylinder, wher…
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on a math test, the students are asked to find the perimeter of rectang…
No, Alberto is not correct. The actual perimeter of rectangle STUV is 42 units, not 18 units.
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determine whether each quadrilateral is a parallelogram. yes or no. 13.…
Yes ### Problem 14
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look at the diagram. which equation can be used to solve for x? $11x + …
### For the equation question: 11x = 90 ### For solving x: $x=\frac{90}{11}\approx8.18$
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find the area of the semicircle. either enter an exact answer in terms …
Exact answer: $98\pi$ units$^2$ Decimal approximation: $307.72$ units$^2$
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applying the 45°-45°-90° triangle theorem a 12 - foot ladder is leaning…
The triangle is isosceles The leg-to-hypotenuse ratio is $1 : \sqrt{2}$ The nonright angles are congruent The ladder represents the longest length in the triangle
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parallel lines m and n are intersected by parallel lines p and q. if ( …
$55$
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7.3.ps-16 writing what is the length of the rectangular plot of land sh…
\( \boxed{108} \)
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look at the diagram. which equation can be used to solve for x? $5x + 3…
### Correct equation: $5x + 110 = 180$ ### Value of x: $x = 14$
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x is an acute angle. find the value of x in degrees. \\(\\cos(x) = \\fr…
$45$
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fill in the blank. if the graph of an equation is symmetric with respec…
$4$
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find the area of the triangle.\ b = 22 in.\ h = 4\\frac{1}{2} in.
El área del triángulo es \( 49.5 \) pulgadas cuadradas (o \( \frac{99}{2} \) in², o \( 49\frac{1}{2} \) in²).
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sin(x) = \\frac{1}{2} x = \\square^\\circ submit
$30$
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parallel lines m and n are intersected by line p. given ( mangle8 = 65^…
\( m\angle6 = \boxed{65} \) \( m\angle1 = \boxed{115} \) \( m\angle2 = \boxed{65} \)
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7.3.ps-15 metalworking a machine in a factory cuts out four triangular …
A. Triangle 1, D. Triangle 4
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name _________________________ # ______ date _______________ go math 8.…
1. Six equal parts, sixths 2. Four equal parts, fourths 3. Eight equal parts, eighths 4. Three equal parts, thirds 5. equal parts 6. equal parts 7. equal parts 8. equal parts 9. e…
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find the area of the semicircle. either enter an exact answer in terms …
Exact answer: $\frac{9}{2}\pi$ units$^2$ Decimal answer: $14.13$ units$^2$
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7.3.ps - 7 you are going to use an incline plane to lift a heavy object…
13.9
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triangle abc is a right triangle. what is the relationship between angl…
They are complementary.
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7.1.ps - 17 find the length of the unknown leg of the right triangle. u…
15
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right angle fcd intersects \\(\\overleftrightarrow{ab}\\) and \\(\\over…
They are congruent and complementary.
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drag each label to the correct location on the table. each label can be…
Square PQRS: 4 lines of reflection Regular Hexagon ABCDEF: 6 lines of reflection Isosceles Trapezoid JKLM: 1 line of reflection Equilateral Triangle FGH: 3 lines of reflection
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find the area of the semicircle. either enter an exact answer in terms …
Exact answer: $18\pi$ units$^2$ Decimal approximation: $56.52$ units$^2$
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7.1.ps - 12 what is the length of the unknown leg of the right triangle…
\(1.7\)
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name: teks 5.4h problems with area starr math blitz 5th grade ⑤ edgar b…
5. 160 square feet 6. J. 35 square meters 7. A. 864 square inches 8. G. 360 square inches
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7.1.ps-11 use the pythagorean theorem to find the unknown side of the r…
25
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the sum of the interior angle measures of a triangle must be 180°. so, …
- \( m\angle2=\boldsymbol{102}^\circ \) - \( m\angle2 \) is equal to \( m\angle3 + m\angle4 \) - The measure of an exterior angle of a triangle is equal to the sum of the measures…
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in the figure below, suppose ( mangle1 = 78^circ ) and ( mangle3 = 36^c…
The first blank: \(180\), the second blank: \(180\), the third blank: \(102\) (If we consider the blanks in order: 1. The sum of the interior angle measures of a triangle must be …
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a solid sphere is cut into 3 equal wedges. the volume of each wedge is …
D. $r = \sqrt[3]{\frac{9V}{4\pi}}$
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find the area of the shape. either enter an exact answer in terms of π …
Exact answer: $\pi$ Decimal answer: $3.14$
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establishing facts about the interior and exterior angles of a triangle…
The sum of the interior angle measures of a triangle must be \( \boldsymbol{180}^\circ \). So, \( m\angle2 + m\angle3 + m\angle4=\boldsymbol{180}^\circ \). \( m\angle3 + m\angle4 …
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2. create an image by applying a dilation with point c as the center of…
1. For scale factor 2 (Problem 2): A larger triangle, with all vertices twice as far from point $C$ as the original triangle's vertices, oriented the same way as the original tria…
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in the figure below, suppose ( mangle 3 = 118^circ ) and ( mangle 4 = 3…
s (filling the blanks): 1. The sum of the interior angle measures of a triangle must be \(\boldsymbol{180}\)°. 2. So, \(m\angle 2 + m\angle 3 + m\angle 4 = \boldsymbol{180}\)°. 3.…
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which pair of angles are vertical angles? ○ $\\angle wru$ and $\\angle …
\( \boldsymbol{\angle WRS} \) and \( \boldsymbol{\angle VRT} \) (the option corresponding to \( \angle WRS \) and \( \angle VRT \))
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which angle is a vertical angle with ∠efd? ○ ∠dfb ○ ∠ced ○ ∠bfc ○ ∠afb
D. $\angle AFB$
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given: ( mangle ade = 60^circ ) and ( mangle cdf = (3x + 15)^circ ) pro…
Statement: \( 60 = 3x + 15 \); Reason: substitution (the first option)
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scale drawings and maps solve, using a proportion. 1. if 4 inches repre…
2 inches ### Problem 2
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use a trigonometric ratio to solve for c. round to two decimal places a…
\(3.83\)
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7. 8. 9. 10. 11. 12.
\(a = 15\), \(b = 8\) ### Problem 8 (Parallelogram, Opposite Sides Equal)
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what is ( mangle dfc )? ( \bigcirc ) ( 45^circ ) ( \bigcirc ) ( 80^circ…
\(80^\circ\) (corresponding to the option with 80°)
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in the diagram, which angles are vertical angles? select two options. $…
B. $\angle ABE$ and $\angle CBD$ D. $\angle ABC$ and $\angle EBD$
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find the value of each variable in each parallelogram. 3. 4. 5. 6.
\( x = 38 \) ### Problem 4:
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what is $m\\angle mhj$? \\bigcirc $35^{\\circ}$ \\bigcirc $50^{\\circ}$…
\(50^\circ\) (Option: 50°)
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use a trigonometric ratio to solve for d. round to two decimal places a…
\( d \approx 12.93 \)
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solve and graph the inequality. -169 ≤ 8m - 9
The solution to the inequality is \( m \geq -20 \). To graph this, we draw a number line, place a closed circle at \(-20\) (since the inequality is "greater than or equal to"), an…
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find the measure of angle d in degrees. round to two decimal places as …
\( d \approx 14.48^\circ \)
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what combination of transformations is shown b translation, then reflec…
translation, then reflection
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what combination of transformations is shown below? rotation, then refl…
translation, then reflection
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which are vertical angles? ○ ∠afe and ∠bfd ○ ∠bfc and ∠dfe ○ ∠afe and ∠…
A. $\angle AFE$ and $\angle BFD$
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a rectangle measuring 2 feet long by 5 feet wide has its length and wid…
1. The area is four times larger than originally. 2. 13 cents
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given $m\\parallel n$, find the value of x.
$x = 16$
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given: ( mangle orp = 80^circ ) ( mangle orn = (3x + 10)^circ ) prove: …
\(\boldsymbol{\angle ORP}\) and \(\boldsymbol{\angle ORN}\) are a linear pair
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given $m\\parallel n$, find the value of x.
$12$
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$\\triangle abc$ is a dilation image of $\\triangle abc$. which is the …
B. center \( C \) and scale factor 2 (assuming the options are labeled, but in the given options, the correct one is "center \( C \) and scale factor 2")
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m∠srw = \\boxed{\\space}°
\(85\)
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the diagram shows $\\triangle qtr$ and $\\triangle uts$. in the diagram…
The reason for $\triangle QTR\sim\triangle UTS$ is the **SAS (Side - Angle - Side) Similarity Criterion** (since two sides are in proportion $\frac{QT}{TR}=\frac{UT}{TS}$ and the …
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circle d is shown in the diagram below. ∠abc has measure (3x + 2)° and …
\( x = 20 \)
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ruler quiz vii part i put the appropriate measurement to match each let…
To solve the ruler measurement problems, we analyze each part: ### Part I (Top Ruler, A=0, 1 and 2 are in inches, assuming each inch has 16 fractions): 1. **B**: From A (0) to B, …
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ruler quiz ⅶ part i put the appropriate measurement to match each lette…
To solve the ruler measurement problems, we analyze the ruler markings (assuming a standard inch ruler with 16[SSE onError error]
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wxyz is a dilation image of wxyz. which is the correct description of t…
a reduction with scale factor 1/2
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f = f 7 e 14 e ○ center f and scale factor 3 ○ center f and scale facto…
A. center \( F \) and scale factor 3
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solve the compound inequality for x and identify the graph of its solut…
D. Solution: $x \leq -4$ or $x > 4$
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which statement is true about the given information? options: - ( bd = …
\( \overline{BD} \cong \overline{CE} \) (the third option)
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linear equations and linear systems problem 1: here is an equation: 2x …
Problem 1: One Solution Problem 2: No Solution
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what are the coordinates of the image of l for a dilation with center (…
\((0.25, 1)\)
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3. find the value of ( x ) and the measure of ( angle a ).
\(x = 1\), and the measure of \(\angle A\) is \(25^\circ\)
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2. classify the triangle by its angles. choose your answer...
Obtuse triangle
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classify the triangle by its angles. choose your answer...
acute triangle
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which are correct statements regarding proofs? select three options. □ …
1. In a paragraph proof, statements and their justifications are written in sentences in a logical order. 2. A two - column proof consists of a list statements and the reasons the…
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classify the triangle by its angles.
Acute triangle
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given that d is the midpoint of \\(\\overline{ab}\\) and k is the midpo…
\( AK + BK = AC \) (the last option, but since the options are not labeled with letters here, but in the original problem, the last option is "AK + BK = AC")
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the formula for the volume of a cylinder is $v = \\pi r^2 h$, where $v$…
D. 6 inches
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which statement is true about the diagram? 10 s 4 a k b t k is the midp…
C. \( AK = BT \)
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given that \\(\\overrightarrow{ba}\\) bisects \\(\\angle dbc\\), which …
\(m\angle ABD = m\angle ABC\)
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given: ( mangle aeb = 45^circ ) ( angle aec ) is a right angle. prove: …
Angle Addition Postulate
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name the figure below in two different ways. symbol: and
$\overrightarrow{TR}$ and $\overrightarrow{TF}$
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a two - column proof uses a visual representation of the logical flow o…
B. contains a table with a logical series of statements and reasons that reach a conclusion.
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suppose abc is a right triangle with sides a, b, and c and right angle …
The unknown side length $b$ is $\boldsymbol{4}$ $\sin B = \boldsymbol{\frac{4}{5}}$ $\cos B = \boldsymbol{\frac{3}{5}}$ $\tan B = \boldsymbol{\frac{4}{3}}$ $\csc B = \boldsymbol{\…
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a right triangle and two of its side lengths are shown in the diagram. …
14.4 cm
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the coordinates of the endpoints of \\(\\overline{ab}\\) are \\(a(-4, 4…
B. 6.7 units
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mandy walking from school to the park and then to her house. the diagra…
B. 5.79 miles
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the number line shows four points. which point represents the approxima…
B. point B
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apply the pythagorean theorem to find the distance between points a and…
C. $\sqrt{74}$ units
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use the pythagorean theorem to find the distance from emmas house to th…
A. $\sqrt{113}$
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7 centimeters, and the length of the rectangle is 8 centimeters. which …
10.63 centimeters
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is best represented by the point g? a (sqrt{7.9}) b (sqrt{62.5}) c (sqr…
B. $\sqrt{62.3}$
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m∠cad = type your answer... m∠acd = type your answer... m∠acb = type yo…
To solve for the measures of the angles, we analyze the given triangle and its properties: ### Step 1: Analyze Triangle \( ACD \) In \( \triangle ACD \), \( AC = AD \) (marked wit…
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the coordinates of the vertices of the triangle shown are f(1,9), g(5,6…
5
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parallel lines m and n are intersected by parallel lines p and q. which…
B) $\angle 6$ and $\angle 9$
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which of these relations are functions? select all that apply.
The top-left linear graph, top-right curved graph, and bottom-left parabolic graph are functions.
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find the measure of each angle ∠1 = type your answer... ∠2 = type your …
\(angle1 = 56^\circ\), \(angle2 = 32^\circ\), \(angle3 = 56^\circ\), \(angle4 = 124^\circ\)
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what is the length of the hypotenuse for a right triangle with legs of …
B. 17
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based on the diagram, pick the two choices below that represent the exp…
The two choices are $\frac{108}{255}$ and $\sin(25^\circ)$ (assuming the options are $\frac{108}{255}$, $\sin(25^\circ)$, $\sin(65^\circ)$, $\cos(155^\circ)$, $\frac{255}{108}$ et…
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find the measure of each angle. ∠1 = type your answer.. ∠2 = type your …
# Explanation: ## Step1: Find ∠1 In the right - angled part (since there is a right angle implied by the triangle with a 68° angle and the other angle in that small triangle), the…
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brianna made a mosaic in art class with different - shaped tiles. she s…
A. $20 + 2t + 2c$ D. $20 + t + t + c + c$
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what is the length of the hypotenuse for a right triangle with legs of …
A. 25
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in parallelogram pqrs, ( mangle qtr = 70^circ ), ( mangle qpr = 58^circ…
\(4\)