幾何
三角形、圓、解析幾何與證明題。
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find the unknown complementary angle. 61° x x = \\boxed{\\space}^\\circ…
\( 29 \)
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a parallelogram has side lengths of 13 and 17 and an angle that measure…
16
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find the unknown complementary angle. x = \\boxed{ }^\\circ (simplify y…
\(29\)
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use the given information to complete the table. use 3.14 for π. then v…
| Circumference | Radius | Diameter | \( \pi=\frac{\text{Circumference}}{\text{Diameter}} \) | | ---- | ---- | ---- | ---- | | \( 43.96 \) mm | \( 7 \) mm | \( 14 \) mm | \( \pi=\…
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what is the measure of ∠c in the triangle above? (degrees?) options: 90…
$77^\circ$
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abby used the law of cosines for △kmn to solve for k. ( k^2 = 53^2 + n^…
B. \( m\angle N = 37^{\circ} \) and \( n = 31 \)
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the law of cosines is used to find the measure of ∠y. 18² = 16² + 19² -…
\(47^{\circ}\)
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in the figure below, k lies between j and l. find the location of k so …
-18
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law of cosines diagram: triangle hnk with ( hn = 20 ), ( nk = 9 ), ( an…
22
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use the given information to complete the table. use 3.14 for π. then v…
| Circumference | Radius | Diameter | \( \pi=\frac{\text{Circumference}}{\text{Diameter}} \) | | ---- | ---- | ---- | ---- | | \( 12.56 \) cm | \( 2 \) cm | \( 4 \) cm | \( \pi=\f…
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the diameter of circle s is 72 inches. what is the radius of circle s? …
- Radius of Circle S: 36 inches - Diameter of Circle S: 72 inches - Circumference of Circle S: 226.08 inches - Area of Circle S: 4069.44 square inches (For the table, you can fill…
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find the distance between points. 2) a (-2,2) and b (1,3)
\(\sqrt{10}\)
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3) choose the best answer. which is the best definition for vertical an…
A. two nonadjacent angles formed by two intersecting lines ### Question 4
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3. name a pair of corresponding sides and corresponding angles. corresp…
To solve this, we assume we have two similar or congruent triangles (since the problem is about corresponding sides and angles, a common context in Geometry). Let's take a standar…
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the radius of circle s is 1 centimeters. what is the diameter of circle…
- Radius of Circle S: 1 centimeters - Diameter of Circle S: 2 centimeters - Circumference of Circle S: 6.28 centimeters - Area of Circle S: 3.14 square centimeters
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answer the following questions. 1) choose the best answer. which is the…
A. two angles that share a common vertex and one common side but have no common interior points ### Question 2
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1. name a pair of congruent triangles. △ aob ≅ △ doc 2. state the trian…
\( \triangle AOB \cong \triangle DOC \) ### Question 2
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read the excerpt from aymonds run\ i was once a strawberry in a hansel …
C. She knows who she is and is comfortable with herself
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solve for the value of x.
\(x = 40\)
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20) choose the best answer. tell what is wrong about the statement ∠abc…
It should be "The measure of $\angle ABC$ equals $90^\circ$."
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19) choose the best answer. m∠acd = 120° m∠acb = 20° what is the measur…
\( 100^{\circ} \) (corresponding to the option with \( 100^{\circ} \))
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law of cosines a ferry transports passengers to three different ports. …
\(7.7\)
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find the angle measure. then classify the angle. (see example 2.) 5. ( …
To solve for the angle measures, we use the protractor scale. Let's take \( m\angle COE \) (problem 7) as an example: ### Step 1: Identify the rays forming the angle \( \angle COE…
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write three names for the angle. 1. diagram with g, f, h 2. diagram wit…
Let's solve[SSE Completed, Client Connection Error][LLM SSE On Failure]
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18) choose the best answer. m∠pqs = 70° m∠sqr = 30° what is the measure…
\( 100^\circ \) (corresponding to the option with \( 100^\circ \))
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figure k is a scale image of figure t, as shown. the scale that maps fi…
73.5
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17) choose the best answer. $overrightarrow{bc}$ bisects $angle abd$ $a…
\( 17^\circ \) (corresponding to the option with \( 17^\circ \))
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30. (03.08 lo) which election method splits votes among the candidates …
Proportional representation (the option with the yellow - highlighted circle, which is the "Proportional representation" option)
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translate the sentence into an equation or formula. the interior angle …
\( S = 180(n - 2) \)
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16) choose the best answer. use your protractor on the monitor to find …
90 degrees
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15) choose the best answer. use your protractor on the monitor to find …
130 degrees (corresponding to the option: 130 degrees)
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chaya has a map that shows the lengths of some hiking trails. the scale…
The number is \(0.5\) (or \(\frac{1}{2}\)) (if actual distance is in kilometers per centimeter of drawing) or \(500\) (if actual distance is in meters per centimeter of drawing). …
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fall 2025 geometry b wwva law of cosines dallas 720 mi destination 1 12…
918 miles (corresponding to the option "918 miles")
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14) choose the best answer. use your protractor on the monitor to find …
40 degrees (the option with "40 degrees")
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13) choose the best answer. use your protractor on the monitor to find …
20 degrees (the option with "20 degrees")
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13. describe the process used to find the distance between two points, …
The distance between \( P(-2, 2) \) and \( Q(5, 8) \) is \( \sqrt{85} \) (or approximately \( 9.22 \)). The process involves using the distance formula, identifying the coordinate…
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you buy a circular mouse pad. the radius of the mouse pad is 3 inches. …
- Radius of the Mouse Pad: 3 inches - Diameter of the Mouse Pad: 6 inches - Circumference of the Mouse Pad: 18.84 inches - Area of the Mouse Pad: 28.26 square inches
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12) choose the best answer. what part of the protractor does e refer to…
inner scale
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in the diagram, there are two similar triangles. find the unknown measu…
\( 672 \)
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11) choose the best answer. what part of the protractor does d refer to…
outer scale
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there are two similar triangles in the diagram. find the unknown measur…
\(80\)
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10) choose the best answer. what part of the protractor does c refer to…
outer scale
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find the unknown side length labeled with a variable in the given pair …
20
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9) choose the best answer. what part of the protractor does b refer to?…
C. base line
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find the unknown side lengths labeled with a variable in the given pair…
\( b = 6 \) cm
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8) choose the best answer. what part of the protractor does a refer to?…
origin
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name three different angles in the diagram. (see example 1.) 3. 4. find…
$\angle HMK$, $\angle KMN$, $\angle HMN$ (answers may vary depending on the diagram interpretation, but these are three valid angles with vertex M) ### Problem 7: Find $m\angle CO…
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(e) graph ((x - 4)^2 + (y + 3)^2 = 49)
To graph \((x - 4)^2 + (y + 3)^2 = 49\): 1. **Center**: \((4, -3)\) (from the standard circle equation \((x - h)^2 + (y - k)^2 = r^2\), where \(h = 4\), \(k = -3\)). 2. **Radius**…
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6) matching. according to the protractor postulate, if we have a given …
### Question 6 # Explanation: ## Step1: Recall Protractor Postulate The Protractor Postulate states that for a given line \( \overleftrightarrow{AB} \) and a point \( O \) on the …
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kyle performs a transformation on a triangle. the resulting triangle is…
A. dilation
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find the unknown side lengths labeled with a variable in the given pair…
\( 30 \)
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write three names for the angle. 1. diagram with f, g, h 2. diagram wit…
\( \angle G \), \( \angle FGH \), \( \angle HGF \) ### Problem 2:
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5) choose the best answer. which angle is an obtuse angle? options: c, …
B. The angle in option B (since it is greater than \(90^\circ\) and less than \(180^\circ\), fitting the definition of an obtuse angle)
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find the unknown angle measure in the pair of similar triangles. angle …
angle B = \(105^\circ\) angle M = \(49^\circ\) angle A = \(49^\circ\)
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4) choose the best answer. which angle is a straight angle? options: c,…
D. The angle in option D forms a straight line, so it is a straight angle.
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law of cosines a surveyor measures the lengths of the sides of a triang…
\(\cos^{-1}(0.563)=56^{\circ}\) (the first option)
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find the unknown angle measures in the pair of similar triangles. angle…
angle \( Q = \boldsymbol{42}^\circ \) angle \( B = \boldsymbol{48}^\circ \) angle \( P = \boldsymbol{48}^\circ \)
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3) choose the best answer. images of angles labeled a, b, c, d which an…
C. The angle with the right - angle symbol (small square at the vertex)
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δrsq ~ ____ part a - determine if the triangles are similar. are the tr…
$\triangle GSH$ (or $\triangle HSG$? Wait, let's check the ratios again. Wait, RS = 49, GS = 14; SQ = 84, SH = 24. So RS/GS = 49/14 = 7/2, SQ/SH = 84/24 = 7/2. And ∠RSQ = ∠GSH (ve…
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the measures of two angles of a triangle are given. find the measure of…
\(41\)
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2) choose the best answer. which angle has a measure less than 90 degre…
A. The angle in option A (acute angle, less than 90 degrees)
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answer the following questions. 1) choose the best answer. images of an…
A. (the angle in option A)
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solve for x and y. use the similar right triangles. write answers in si…
For \( x \): \( 3\sqrt{7} \) For \( y \): \( 12 \)
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which of these triangles can you use the law of cosines to solve for a …
The triangle with sides 12, 8 and included angle \(138^{\circ}\) (the second triangle) can be solved for the missing side using the Law of Cosines.
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the lengths of the corresponding sides of 2 similar right triangles are…
12.5 (corresponding to option e)
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the equation of a circle is ( x^2 + 8x + y^2 - 12y = 144 ). what are th…
D. center \((-4,6)\) and radius 14
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oscar has a map of the campground where he is staying. the scale shows …
$\frac{1}{2}$ ### Part (b)
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the perimeter of a rectangle is 82 cm. if the length is 14 cm, how wide…
\( 2(14 + w) = 82 \) (or equivalent like \( 2\times14 + 2w = 82 \)) ### Part B
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you need to replace the cover for a light in your bathroom. the light c…
s (for each part): - Radius: \(\boldsymbol{8}\) inches - Diameter: \(\boldsymbol{16}\) inches - Circumference: \(\boldsymbol{50.24}\) inches - Area: \(\boldsymbol{200.96}\) square…
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what scale factor would be applied to figure m to produce figure g? fig…
\(\frac{1}{3}\)
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solve the inequality and graph the solution. 7(f - 2) - 4 ≤ 10 plot the…
The solution to the inequality is \(f\leq4\). The graph has a closed circle at 4 and a ray extending to the left from 4.
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19. (03.05 lc) what is the first step in the public policy analysis cyc…
Learn (the option with the yellow - circled radio button, i.e., the "Learn" option)
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law of cosines evelyn watches airplanes take off at an airport. she is …
- The given information is the SSA case. - The angle of elevation of the plane is \(12^{\circ}\).
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in the figure below, m || n and p || q. find the values of y and x.
\( y = 67 \), \( x = 22 \)
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law of cosines △def is an isosceles triangle with base angles e and f. …
- The angle measure of the smallest angle: \(\boldsymbol{14}\) degrees. - The measures of the two congruent base angles: \(\boldsymbol{83}\) degrees (each).
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13. choose true or false. a plane that is divided into four regions by …
False ### Question 14
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11. choose true or false. a set of coordinates that indicates the locat…
True ### Question 12
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9. choose the best answer. calculate the length of segment \\( \\overli…
16 ### Question 10
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finding the angle measures of a triangle △def is an isosceles triangle …
The angle measure of the smallest angle (vertex angle) is $\boxed{20}$ degrees. The measures of the two congruent base angles are $\boxed{80}$ degrees.
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20. if $overline{ef}$ bisects $angle ceb$, $mangle cef = 7x + 21$ and $…
\( \boxed{26^\circ} \)
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6. choose the best answer. \if three points a, b, and c are collinear, …
C. Segment Addition
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4. choose true or false. a method of creating a geometric figure that i…
False ### Question 5
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1. choose true or false. a number that corresponds to a point is an ori…
False ### Question 2
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23. if m∠1 = 7x and m∠4 = 3x + 20, what is the m∠2? 35 5 14 2
5
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determining a side using the law of cosines in △def, de = 11, ef = 9, a…
\(e^{2}=11^{2}+9^{2}-2(11)(9)\cos(140^{\circ})\) (the first equation in the provided options)
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5. diagram with angles ( y^circ ), ( x^circ ), ( 72^circ ), ( z^circ ) …
To solve for the angles \( x^\circ \), \( y^\circ \), and \( z^\circ \), we analyze the relationships between the angles (supplementary, complementary, vertical angles, etc.). ###…
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question given ( m parallel n ), find the value of ( x ) and ( y ). dia…
\( x = 39 \), \( y = 141 \)
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4. diagram: two intersecting straight lines (one horizontal, one diagon…
If we assume finding \( x \), \( y \), \( z \): \( x = 137^\circ \), \( y = 43^\circ \), \( z = 137^\circ \) (If the question was specific, e.g., find \( x \), then \( x = 137^\ci…
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find the measure of each marked angle. assume the lines are parallel. x…
\(x + 4 = \boxed{7.5}\)° (or \(\frac{15}{2}\)°) \(9x - 24 = \boxed{7.5}\)° (or \(\frac{15}{2}\)°)
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what number can you multiply each length in the scale drawing by to fin…
10
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20. using the transitive property of congruence, if (overline{cd} cong …
\( \boldsymbol{\overline{CD} \cong \overline{GH}} \) (corresponding option: the one with \( \overline{CD} \cong \overline{GH} \))
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the scale drawing shows the dimensions of a motel. the scale is shown i…
\(5\)
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find the measure of each marked angle. the degree measure of the top an…
\(130\)
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14. (03.04 mc) which founding principle was promoted through the suprem…
Due process of law (the option with the yellow circle, labeled "Due process of law")
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20. if $overrightarrow{ef}$ bisects $angle ceb$, $mangle cef = 7x + 21$…
\( 26^\circ \)
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find the measure of each marked angle. the degree measure of the top an…
\( 60 \)
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find the measure of each marked angle. (6x - 110)° (x + 30)° (6x - 50)°…
\(70\)
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find the measure of each marked angle. x° = □° (x + 20)° = □° (180 − 3x…
\(x^\circ=\boldsymbol{20}^\circ\) \((x + 20)^\circ=\boldsymbol{40}^\circ\) \((180-3x)^\circ=\boldsymbol{120}^\circ\)
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find the measure of the marked angles. (3x + 30)° (8x + 5)° the measure…
45
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uch hernandez made a scale drawing of the school gym. the scale of the …
90