Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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find the exact values for sin θ cos θ and tan θ image of a right triang…
$\sin\theta = \frac{4}{5}$, $\cos\theta = \frac{3}{5}$, $\tan\theta = \frac{4}{3}$ (For the $\sin\theta$ part asked in the box, the answer is $\frac{4}{5}$)
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5. a rectangular solid measures 5.05 cm by 2.45 cm by 1.50 cm. refer to…
The volume of the rectangular solid is \( \boldsymbol{18.56 \, \text{cm}^3} \) (or \( 18.6 \, \text{cm}^3 \) with three significant figures, or \( 18.55875 \, \text{cm}^3 \) as th…
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what is the area of triangle lmn? 12 square units 14 square units 15 sq…
15 square units
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what is the value of x in the figure below?
\(x = 14\)
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applying the sas similarity theorem given that \\(\\frac{ab}{de} = \\fr…
1. Horizontal and vertical lines are \(\boldsymbol{\text{perpendicular}}\). 2. Angles \(\boldsymbol{\angle ABC}\) and \(\boldsymbol{\angle DEF}\) are right angles. 3. All right an…
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20.) a wheelchair ramp with a length of 122 inches has a horizontal dis…
a.) (Diagram: A right triangle with hypotenuse 122 in, horizontal leg 120 in, vertical leg \( h \)) b.) The ramp's vertical distance is 22 inches.
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which point is on the line that passes through point z and is perpendic…
\( (-4, 1) \)
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question 24: 1 draw point t lying on \\overleftrightarrow{wr} draw a li…
(The visual representation would be a straight line labeled \(\overleftrightarrow{WR}\) with a point \(T\) marked on it. Since this is a drawing instruction, the final answer is t…
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the given line segment has a midpoint at (3, 1). what is the equation, …
\(y = \frac{1}{3}x\) (Option: \(y=\frac{1}{3}x\))
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figure 1 and figure 2 below are congruent. which side corresponds to si…
\(\overline{TQ}\)
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what is the area of parallelogram rstu? 21 square units 24 square units…
21 square units
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in the diagram, sr = 4√2 and qr = √10. what is the perimeter of paralle…
\( 8\sqrt{2} + 2\sqrt{10} \) units
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solve for x using the subtraction postulate. 16. diagram: r---(x+8)---s…
\( x = 0 \) ### Problem 17
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figure abcd is a parallelogram. two trapezoids are created using line s…
Each area is equal to half of the area of \(ABCD\) (the first option).
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12) 48.5 ft 32.5 ft 39 ft (triangle diagram)
If the problem is area, the answer is \(633.75\) square feet. If verifying Pythagorean theorem, \(39^2 + 32.5^2 eq 48.5^2\) (wait, maybe I made a mistake: \(48.5^2 = (48 + 0.5)^…
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which point on the y-axis lies on the line that passes through point g …
(0, 4)
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part 3: references page practice instructions: use the information belo…
Ray, L. (2021). *Understanding academic writing*. College Press. #### Source 2 APA Citation:
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solve for x and graph the solution on the number line below. 33 ≥ 4x - …
Inequality Notation: \( 3 \leq x \leq 9 \) For the number line: We would mark a closed circle at 3 and a closed circle at 9 (since the inequality is "less than or equal to" and "g…
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find the signs of the six trigonometric function values for the given a…
| Function | Sign | | --- | --- | | \(\sin86^\circ\) | Positive | | \(\cos86^\circ\) | Positive | | \(\tan86^\circ\) | Positive | | \(\csc86^\circ\) | Positive | | \(\sec86^\circ\…
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which statement best explains the relationship between lines cd and fg?…
B. They are perpendicular because their slopes are negative reciprocals.
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11) 9 yd, \\(\\sqrt{115}\\) yd, 11 yd (right triangle with vertical leg…
If we calculate the hypotenuse for legs 9 and \(\sqrt{115}\), the hypotenuse length is \(\boldsymbol{14}\) yd. (If the problem was to verify, the triangle as labeled is not a righ…
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the shaded figure is a rhombus. the area of the shaded section is 60 sq…
8 units (corresponding to the option "8 units")
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8.) b = 4 yd c = 6 yd a = ____
If in exact form: \(2\sqrt{5}\) yd (or approximately \(4.48\) yd)
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day 3 the channel 4 weather woman had a disagreement with the channel 6…
### Part 1: Underline Prefixes To identify prefixes, we look for word parts at the beginning that modify the root. The prefixes in the passage are: - **dis** (in disagreement) - *…
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show all of your work to receive full credit. 2. what is the value of x…
\(x = 46\)
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determine whether triangles abc and dbe are similar by following these …
not similar
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determine whether triangles abc and dbe are similar by following these …
no
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fill in the missing statement and reason in the proof of the alternate …
A. Corresponding Angles Theorem, \(\angle AGF\) and \(\angle EHD\) are congruent
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7.) a = 11 m c = 15 m b = ______
If we leave it in exact form, \(b = 2\sqrt{26}\space m\approx10.2\space m\) (the exact form is \(2\sqrt{26}\space m\) and the approximate decimal form is about \(10.2\space m\))
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6.) scale factor = \\(\\frac{4}{3}\\) | original lengths | × | scale fa…
The table is filled as follows: | Original Lengths | × | Scale Factor | = | New Lengths | | ---- | ---- | ---- | ---- | ---- | | 6 | × | $\frac{4}{3}$ | = | 8 | | 3 | × | $\frac{4…
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question 5 points 2 what can be inferred from the given passage? \the m…
A. Mystery
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sketch an angle θ in standard position such that θ has the least possib…
\(-\frac{4}{3}\)
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which three proportions could be used to determine the length ey? hint:…
B. \( \frac{EY}{8} = \frac{14}{16} \), D. \( \frac{8}{EY} = \frac{16}{14} \), F. \( \frac{16}{14} = \frac{8}{EY} \)
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5.) scale factor = 1.5 original lengths × scale factor = new lengths
The table filled with original lengths (3, 6, \( 3\sqrt{5} \) or ≈6.71), scale factor 1.5, and new lengths (4.5, 9, \( 4.5\sqrt{5} \) or ≈10.06) as shown above.
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6) 8 km 16 km x
If in exact form, \(x = 8\sqrt{3}\) km \(\approx13.86\) km (rounded to two decimal places)
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what angle relationship describes angles cbe and deb? alternate interio…
A. Alternate interior angles
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determine whether triangles abc and dbe are similar by following these …
# Explanation: ## Step1: Find length of CB CB is the sum of CE and EB. CE is 23.4 and EB is 7.8, so $CB = 23.4 + 7.8 = 31.2$. ## Step2: Calculate CB/EB EB is 7.8, so $\frac{CB}{EB…
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determine whether triangles abc and dbe are similar by following these …
\( 3 \)
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determine whether triangles abc and dbe are similar by following these …
proportional to
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6. triangle cde with vertices c(-2, -2), d(1, -4), and e(-3, -4): a) di…
### Part a) Dilation with scale factor 4 centered at \((-1, -3)\) #### Step 1: Recall the dilation formula The formula for dilating a point \((x, y)\) with center \((h, k)\) and s…
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8. find the circumference of the circle answer: ______
If we use \( \pi\approx3.14 \), the circumference is \( 62.8 \); in terms of \( \pi \), it is \( 20\pi \). (Commonly, if a numerical value is expected, \( 62.8 \) or \( 20\pi \) d…
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10. the two triangles below are similar. solve for x.
\(28.6\) feet
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determine whether triangles abc and dbe are similar by following these …
congruent to
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bluebonnet learning k-5 math name ____ date ____ 1. what two equations …
### Question 1 #### Part a and b (Equations for the rectangle) Assuming the rectangle has 9 squares (since later questions involve 9, and the diagram shows a row of 9 squares, may…
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1. nolan wrote ( 1.overline{63} ) and ( 0.overline{2} ) as fractions in…
s: 1. \( 1.\overline{63}=\boldsymbol{\frac{18}{11}} \), \( 0.\overline{2}=\boldsymbol{\frac{2}{9}} \) 2. Circle B. \( 21.082 \), C. \( \sqrt{9} \), D. \( 1.4382768 \), E. \( \frac…
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exercise c circle each letter that should be capitalized. (rule 1d) 1. …
Circled letters: O (Old), T (Testament), G (Genesis), E (Exodus), L (Leviticus), N (Numbers), D (Deuteronomy) ### 2.
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4.) scale factor = 2.5 original length × scale factor = new length × = …
In the table: Original Length: \( 2 \), Scale Factor: \( 2.5 \), New Length: \( 5 \) So the table rows: First row (if original length is 2): \( 2 \times 2.5 = 5 \) Second row (may…
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use the diagram to decide whether the statement is true or false. plane…
false
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final stretch: five choices & three anchor stories pick three of these …
This is a worksheet for analyzing vignettes (likely from *The House on Mango Street*). To complete it, follow these steps for each chosen vignette: ### Step 1: Select 3 Vignettes …
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directions: listen to your teacher read a short paragraph. number the l…
### Part A: True or False 1. **Explanation for Q1**: Check the sentence "At one table, a student eats chicken with rice and drinks water." So chicken and rice are on one tray. - A…
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your community decides to install a rectangular swimming pool in a park…
Perimeter: \(\boldsymbol{234}\) feet, Area: \(\boldsymbol{3150}\) square feet
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11. original figure (square with side 2) scale factor: 4 area of the or…
Yes, the conjecture will be true for scaled figures that are not squares. This is because for any similar figures (scaled figures have the same shape, so they are similar), the ra…
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9. the two figures below are similar. solve for x and z.
x = 60 mm, z = 10 mm
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in the given circle, tangent ab and secant cd intersect at point e as s…
B. 140
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use the diagram and the given angle measure to find the other three mea…
\(m\angle1 = \boldsymbol{61}^\circ\), \(m\angle2 = \boldsymbol{119}^\circ\), \(m\angle3 = \boldsymbol{61}^\circ\)
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11 original figure (2×2 square on grid), scale factor 4, area of the or…
- Scale Factor: 4 - Area of Original Figure: \( 4 \) - Area of Scale Drawing: \( 64 \) ### Problem 12
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9. the two figures below are similar. solve for x and z.
# Explanation: ## Step1: Determine the scale factor Since the figures are similar, the ratios of corresponding sides are equal. Let's find the scale factor using the sides of leng…
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identify the pair(s) of congruent angles in the figure. explain how you…
$\boldsymbol{\angle GML \cong \angle HMJ}$ by the Vertical Angles Congruence Theorem (because vertical angles formed by intersecting lines are congruent).
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select the correct answer. arc cd located on circle a has a central ang…
A. \( 18\pi \) cm
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type the correct answer in the box. use numerals instead of words. an a…
36
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circle the words that need capitals. my birthday is on june 10.
Circle "my" (to make it "My"), "june" (to make it "June").
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what is the ratio of the area of sector abc to the area of sector dbe? …
A. \(\frac{4}{3}\)
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select the correct answer. circle c has a center at (-2,10) and contain…
D. \((x + 2)^2+(y - 10)^2 = 169\)
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triangles abc is similar to triangle ade. what is the length of side ab?
The length of side \( AB \) is \( \boxed{20} \) cm.
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scaling squares for problems 2–7, use the provided scale factors to cre…
To solve the problem of finding the areas of the original square and its scale drawing, we follow these steps for each problem (2, 3, and 4): ### Problem 2: #### Step 1: Area of O…
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select the correct answer from each drop-down menu. consider the circle…
The equation is \( (PT)(TR)=(ST)(TQ) \) and the value of \( a \) is 6.
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8. sortify true or false for each statement a. √10 is between 3 and 4? …
### Problem 9: Which expressions are less than \( 4.07 \)? #### Step 1: Evaluate each option - **Option A: \( \sqrt{1.6} \)** Calculate \( \sqrt{1.6} \approx 1.26 \), which is les…
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ky found the following ratios. $\frac{pq}{ef} = \frac{9}{18}$ $\frac{qr…
Yes, the triangles are similar by the SSS similarity theorem.
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the drawing below was created using a scale of 1 cm : 2 meters. what is…
The actual area of the room is \( \boxed{96} \) square meters.
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with reference to the figure, match the angles and arcs to their measur…
∠DFA ↔ 58° ∠EOB ↔ 122° ∠COB ↔ 114° $\widehat{CE}$ ↔ 124°
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8. select true or false for each statement: a. √63 is between 6 and 7? …
### Question 8 (True/False for each statement) #### Part A: $\boldsymbol{\sqrt{50}}$ between 6 and 7? ## Explanation: ## Step1: Find squares around 50 We know that $6^2 = 36$ and …
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find the value of each variable. (8x + 7)° (9x - 4)° x =
\(x = 11\)
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describe the transformation or sequence of transformations that map eac…
The transformation from \(ABCD\) to \(GHCD\) is a reflection over the vertical line that contains the segment \(CD\) (since points \(C\) and \(D\) are invariant, and points \(A\) …
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find the values of x and y. diagram of two intersecting lines with angl…
\(x = 13\) \(y = 20\)
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find the value of each variable. 16y° (18y − 18)° y = □
\(y = 9\)
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directions: using the internet, go to www.cfnc.org and complete the ste…
This is a set of instructions for a career exploration activity on the CFNC website. Since there is no specific question here (like asking for help with a particular step, analyzi…
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draw 3 polygons draw 3 non - examples of polygons
### Explicación para dibujar polígonos: Un polígono es una figura cerrada con lados rectos (segmentos de recta) y vértices. #### Paso 1: Triángulo Un triángulo tiene 3 lados recto…
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geometry - unit 1 - parallel lines cut by solve each question as indica…
\(x = 17\)
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type the correct answer in each box. use numerals instead of words. con…
The length of major arc XY is \(\boldsymbol{58.91}\) units. The radius of the circle is \(\boldsymbol{15}\) units. The area of the shaded sector is \(\boldsymbol{441.79}\) square …
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given that \\(\\frac{df}{pr} = \\frac{fe}{rq} = \\frac{3}{2}\\), what a…
D. \(\boldsymbol{\frac{DE}{PQ}=\frac{3}{2}}\)
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3. joy said 5 more kittens were born in june than in august. do you agr…
No (with work: Let’s say June has \( J \) and August has \( A \). The difference \( J - A \) is not 5 (e.g., if \( J = 8 \), \( A = 4 \), \( 8 - 4 = 4 eq 5 \), so Joy is wrong).
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the grade resistance f of a car traveling up or down a hill is modeled …
B. -261 lb
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describe a series of transformations that maps figure 1 to figure 2 to …
To map Figure 1 to Figure 2: **Translate Figure 1 vertically upward** (e.g., 4 units) so its position matches Figure 2. To map Figure 2 to Figure 3: **Translate Figure 2 horizonta…
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farm kittens many kittens are born each summer at the sunshine farm. th…
June and August ### Question 2
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type the correct answer in each box. use numerals instead of words. if …
\(m\angle ACB = \boxed{32}\) and \(m\widehat{AC} = \boxed{146}\)
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from a boat on the lake, the angle of elevation to the top of a cliff i…
B. 61 ft
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describe a series of transformations that maps figure 1 to figure 2 to …
To map Figure 1 to Figure 2: Translate Figure 1 3 units up. To map Figure 2 to Figure 3: Translate Figure 2 5 units right and 3 units up. ### Problem 5:
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drag each tile to the correct box. triangle abc is inscribed in a circl…
$m\widehat{AC}$ < $m\widehat{BC}$ < $m\widehat{AB}$
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use the following to solve the right triangle. round side lengths to tw…
C. \( A = 24.5166^\circ, a = 1,429.65 \, \text{m}, b = 3,134.68 \, \text{m} \)
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select the correct answer. which equation represents a circle with a ce…
E. \((x + 5)^2 + (y - 5)^2 = 9\)
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the area of a rectangle is 52 m², and the length of the rectangle is 5 …
Width \(\approx\boldsymbol{5.13}\) meters, Length \(\approx\boldsymbol{10.13}\) meters (or exact form \( w=\frac{-5 + \sqrt{233}}{2}\) meters, \( l=\frac{5+\sqrt{233}}{2}\) meters)
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20. due to all the afternoon thunderstorms in south florida a new cover…
To solve this problem, we assume the trail entrance is at the midpoint of the recreational trail. Let's denote the length of the trail as \( L \). Since the trail entrance is at t…
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find a value of θ in 0°, 90° that satisfies the statement. leave the an…
C. \( 56.694^\circ \)
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problem | original figure | scale factor | scale drawing | area of the …
Area of Original Figure: \( 1 \), Area of Scale Drawing: \( \frac{1}{4} \) ### Problem 6
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select the correct answer. in the given figure, ( moverarc{bc} = 118^ci…
A. The measure of \( \widehat{DE} \) is \( 48^{\circ} \), and triangle \( BCD \) is isosceles.
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select the correct answer. which point lies on the circle represented b…
A. \((20,-3)\)
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find a solution for the equation. assume that all angles are acute angl…
D. \(24^{\circ}\)
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which graph correctly represents the relationship between arc length an…
A
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structure find the measure of each angle in the diagram. (3y + 11)° 10y…
\( (3y + 11)^\circ \): \( 50^\circ \) \( 10y^\circ \): \( 130^\circ \) \( (4x - 22)^\circ \): \( 50^\circ \) \( (7x + 4)^\circ \): \( 130^\circ \)
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complete the proof that ∠uyv ≅ ∠wyx. diagram: intersecting lines at y w…
### Paso 1 (Enunciado 1): Razón: Ángulos lineales son suplementarios (definición de ángulos lineales) ### Paso 2 (Enunciado 2): Razón: Ángulos lineales son suplementarios (definic…