幾何
三角形、圓、解析幾何與證明題。
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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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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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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 ∠x. simplify your answer and write it as a proper f…
$\frac{4}{3}$
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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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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 ∠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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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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what is the area of this figure? 5 ft 4 ft 7 ft 6 ft 9 ft 8 ft
105 square feet
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given $m \\parallel n$, find the value of $x$.
75
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find the slope of the line graphed below.
$-\frac{1}{4}$
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write the coordinates of the vertices after a reflection over the line …
Reflected vertices: $A'(10, 4)$, $B'(10, -5)$, $C'(5, -5)$, $D'(5, 4)$
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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.
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the chalk circle around the pitchers mound has a diameter of 16 ft what…
\( 200.96 \) (or \( 64\pi \))
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at the end of a set, what circles are drawn on the score sheet? final s…
B. Final score of both teams in the service round box (assuming the second option is labeled B; if the original options had labels like A, B, C, D, adjust the label accordingly ba…
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team a serves the ball, but loses the rally. what two things are record…
1. Team A’s exit score in the correct service round box and a circle around the next point in Team B’s points column. 2. The number of points won by the current server for Team B …
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the figure shows two intersecting lines. write an equation to show how …
$m\angle 1 + m\angle 2 = 180^\circ$
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using a quadratic equation to solve an area problem a rectangular piece…
The true statements are: - The area of the rectangle is 88 square inches. - The equation \( x^{2}-3x - 88 = 0 \) can be used to solve for the length of the rectangle. - The triang…
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solve for x. round to the nearest tenth of a degree, if necessary. (rig…
\(61.6\)
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find the volume of the right cone below in terms of π. (there is an ima…
\( 240\pi \)
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a rectangle has a width that is 7 centimeters less than its length, and…
length = 22 centimeters width = 15 centimeters
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(-\frac{1}{3}\)
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draw a line representing the rise and a line representing the run of th…
The slope of the line is \(-3\)
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the three right triangles below are similar. the acute angles ∠f, ∠j, a…
(a) 0.57, 0.57, 0.57 (b) 0.82, 0.57, 1.44 (c) cosine
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question convert the angle -2 radians to degrees, rounding to the neare…
\( -114.6^\circ \)
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4 which angle is adjacent to ∠tvs? ∠nvt 4 what is m∠nvs? m∠nvs = (image…
1. $\angle NVT$ 2. $110$
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the wind changes again and the which angle is adjacent to $\\angle tvs$…
$\angle NVT$
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ux bisects ∠vuw. complete the proof that vx ≅ wx. (image of a triangle …
| Statement | Reason | |-----------|--------| | 1. $\overrightarrow{UX}$ bisects $\angle VUW$ | Given | | 2. $\overline{UW} \cong \overline{UV}$ | Given | | 3. $\angle VUX \cong \…
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complete the proof that (overline{tu} cong overline{su}). image of tria…
| Statement | Reason | |-----------|--------| | 1. $\angle S \cong \angle T$ | Given | | 2. $\angle SRU \cong \angle TRU$ | Given | | 3. $\overline{RU} \cong \overline{RU}$ | Refl…
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uv ⊥ tw and ∠v ≅ ∠u. complete the proof that tu ≅ tv. (image of triangl…
| Statement | Reason | |-----------|--------| | 1 $\overline{UV} \perp \overline{TW}$ | Given | | 2 $\angle V \cong \angle U$ | Given | | 3 $\angle TWU \cong \angle TWV$ | All rig…
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z is the midpoint of \\(\\overline{xy}\\) and \\(\\overline{wz} \\perp …
4. Reason: Definition of midpoint 5. Reason: Reflexive Property of Congruence 6. Reason: Side-Angle-Side (SAS) Congruence Postulate
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writing locate $-sqrt{15}$ to the nearest tenth on a number line. use p…
$-3.9$ (located between $-4$ and $-3$, closer to $-4$ on the number line)
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a rectangle has a length that is 5 inches greater than its width, and i…
For the equation solution, \(x=\boldsymbol{8}\). For the dimensions: width \(=\boldsymbol{8}\) inches length \(=\boldsymbol{13}\) inches
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how can you find m∠nvt? 90° + 20° = 110° 90° − 20° = 70° 20° + 20° = 40…
$90^\circ + 20^\circ = 110^\circ$
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the perimeter of a rectangle is 260 feet. find the length and width if …
Length = \( 20 \) feet Width = \( 110 \) feet
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what combination of transformations is shown below? options: rotation, …
translation, then reflection
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mixed exercises identify the similar triangles. then find each measure.…
9. $AC = 16$ 10. $JL = 28$ 11. $EH = 9$ 12. $VT = 13.5$
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estimate \\(\\sqrt{50}\\) to the nearest tenth. then locate \\(\\sqrt{5…
$\sqrt{50} \approx 7.1$ To locate on a number line: Place a point between 7 and 8, 1 tenth of the way from 7 toward 8.
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$\\angle tsv \\cong \\angle usv$ and $\\overline{tu} \\perp \\overline{…
The missing reason for Statement 5 ($\triangle STV \cong \triangle SUV$) is **ASA Congruence Postulate**. The completed proof is valid, with $\overline{UV} \cong \overline{TV}$ co…
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j is the midpoint of \\(\\overline{hi}\\). complete the proof that \\(\…
The completed proof has the missing reason for statement 5: **Side-Side-Side (SSS) Congruence Postulate** The final proven statement is $\boldsymbol{\angle HGJ \cong \angle IGJ}$
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what combination of transformations is shown below? grid with three lab…
reflection, then rotation
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determine if the two figures below are congruent. use the drop - down m…
The two figures are congruent (via rigid transformations like translation, rotation, or reflection). The angle corresponding to angle \( K \) is \( \angle S \).
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how many degrees did the arrow turn? (there is a coordinate system with…
90
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type the correct answer in the box. use numerals instead of words. if n…
9.8
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writing a two-column proof given: ∠abc ≅ ∠def and ∠ghi ≅ ∠def prove: m∠…
3. $\angle ABC \cong \angle GHI$ 3. Transitive Property of Congruence 4. $m\angle ABC = m\angle GHI$ 4. Definition of Congruent Angles
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writing a two-column proof given ∠abc ≅ ∠def and ∠ghi ≅ ∠def prove: m∠a…
2. $\angle GHI \cong \angle DEF$ 2. given 3. $m\angle ABC = m\angle DEF$ 3. definition of congruent angles 4. $m\angle GHI = m\angle DEF$ 4. definition of congruent angles 5. $m\a…
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writing a two-column proof given: ∠abc ≅ ∠def and ∠ghi ≅ ∠def prove: m∠…
**Statements**: 1. $\angle ABC \cong \angle DEF$, $\angle GHI \cong \angle DEF$ 2. $m\angle ABC = m\angle DEF$, $m\angle GHI = m\angle DEF$ 3. $m\angle ABC = m\angle GHI$ **Reason…
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choose the graph of the solution to the inequality $x < -12$.
The correct graph is the third option: <point>81 582</point> (the number line with an open circle at -10, shading leftward to negative infinity)
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to graph x ≥ 2, place a(n) on a number line at , and shade to the . done
1. closed circle 2. 2 3. right
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question in the diagram below, \\(\\overline{ab} \\parallel \\overline{…
$61$
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question in the diagram below, (overline{ad} cong overline{ae}), (overl…
$62$
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finding angles (level 1) question in the diagram below, \\( \\overline{…
$\boldsymbol{56}$
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triangles abc and def have the following characteristics: ∠b and ∠e are…
A. AAS
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two angles and the non - included side of one triangle are congruent to…
A. AAS
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finding angles (level 1) question in the diagram below, \\(\\overline{a…
$56^\circ$
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given: mq = nq; q is the midpoint of lp; lm ≅ pn. which congruence theo…
C. SSS
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given: \\(\\overline{ar}\\) bisects \\(\\angle bac\\); \\(ab = ac\\)\ w…
SAS
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in the diagram below, $overline{ab} \\parallel \\overline{cd}$, $overli…
$56^\circ$
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example 1 determine whether each pair of triangles is similar. explain …
1. $\triangle GFH \sim \triangle KJH$ by AA Similarity (two pairs of congruent angles: $\angle F \cong \angle J$, vertical angles $\angle GHF \cong \angle JHK$) 2. $\triangle STR …
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the figure below is dilated by a factor of 3 centered at the origin. pl…
To plot the dilated image: 1. **Left Vertical Segment**: Plot points \((-27, 0)\) and \((-27, 27)\), then draw a vertical segment between them. 2. **Quadrilateral (RQPON)**: Plot …
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example 1 determine whether each pair of triangles is similar. explain …
1. $\triangle FGH \sim \triangle KJH$; they are similar by the AA Similarity Criterion (one pair of right angles are congruent, and vertical angles $\angle GHF$ and $\angle JHK$ a…
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e triangles below are similar. find the value of x. the image is not to…
54
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name: maileny unit 2: logic & proof date: per: 5 homework 8: segment pr…
### 1-3. Segment Addition Equations: 1. $PQ + QR = PR$ 2. $QR + RS = QS$ 3. $PS + ST = PT$ --- ### 4. Proof Reasons: | Statements | Reasons | |------------|---------| | 1. $X$ is …
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find the slope of each line 1) slope = ______ 2) slope = ______ 3) slop…
1) $\boldsymbol{1}$ 2) $\boldsymbol{-1}$ 3) $\boldsymbol{\frac{7}{10}}$ 4) $\boldsymbol{-\frac{1}{2}}$ 5) $\boldsymbol{5}$ 6) $\boldsymbol{-\frac{8}{5}}$ 7) $\boldsymbol{-5}$ 8) $…
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question what is the slope of the line that passes through the points (…
\(\frac{2}{3}\)
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which angle is adjacent to ∠3? ∠5 ∠2 ∠6 ∠1
∠2
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which angle is complementary to $\\angle 6$? image of intersecting line…
\(\angle 1\)
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online bank simulation click this link to access the ngpf online bank s…
s: 1. \$216.04 2. LESS (circled)
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find the missing angle for each irregular polygon. sum of the interior …
Sum of the Interior Angles = \(\boldsymbol{720}\)° \(x=\boldsymbol{45}\) \(m\angle P=\boldsymbol{125}\)° \(m\angle R=\boldsymbol{120}\)° \(m\angle T=\boldsymbol{95}\)°
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amending the constitution - multiple choice questions circle the correc…
d. By adding an amendment to it ### Question 2
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the articles of the constitution - multiple choice questions circle the…
a. The Congress ### Question 2
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questions: how a bill becomes a law circle the correct answer. 1. which…
A. someone has an idea for a law ### Question 2
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$\\overline{jk} \\cong \\overline{gm}$, $\\angle fkg \\cong \\angle hji…
Substitution Property of Equality
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the measure of each interior angle of a regular polygon is 150°. find t…
12
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the measure of each interior angle of a regular polygon is 162°. find t…
20
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the measure of each interior angle of a regular polygon is 144°. find t…
10
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the vertices of parallelogram gram are g(-10,3), r(-9,6), a(-5,6), and …
The correct option (assuming the visual analysis based on the translated coordinates) is the one where the translated parallelogram \(G'R'A'M'\) has vertices \((0,4)\), \((1,7)\),…
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the measure of each interior angle of a regular polygon is 140°. find t…
9
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give an example of when youd use a circle map? why would you not want t…
An example of using a Circle Map is when defining the concept of "Climate Change". Put "Climate Change" in the center circle. In the outer circle, write related ideas like "global…
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find the measure of each interior angle and each exterior angle of a re…
Measure of each interior angle = \(108\)° Measure of each exterior angle = \(72\)°