Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
-
the diagram shows a convex polygon. what is the value of t? t = \\boxed…
\(t = 39\)
-
what is the measure of an exterior angle in a regular 16-gon? write you…
\(22.5^\circ\)
-
what is the sum of the exterior angle measures, one at each vertex, of …
\(360^\circ\)
-
answer attempt 1 out of 3 sin z = cos y = sin z and cos y
\(\sin Z = \frac{8}{17}\), \(\cos Y = \frac{8}{17}\), and \(\sin Z\) and \(\cos Y\) are equal.
-
2 name <s side find m∠m (triangle with ∠l=59°, ∠n=72°, ∠m to find) and …
\( 54^\circ \)
-
19. look at this diagram: if \\(\\overleftrightarrow{hj}\\) and \\(\\ov…
\( 46 \) ### Question 20
-
the diagram shows a regular polygon. what is the value of x? write your…
$90$
-
the diagram shows a regular polygon. what is the value of x? write your…
$90$
-
17. the diagram shows a regular polygon. what is the value of x? write …
$x = 120$ ### Question 18
-
rectangle abcd with four 90° angles, undergoes and translation followed…
C. distance
-
which composition transformation occurs in the following? (x,y) →(y + 5…
B. A 90-degree clockwise rotation and a translation to the right by 5
-
choose the correct figure to complete the sentence (1 point) a has rota…
A. rectangle
-
the ray y = x, x ≥ 0 contains the origin and all points in the coordina…
The equation of the ray is \(y = \frac{\sqrt{3}}{3}x\), \(x\geq0\).
-
identify the rotation function mapping used to turn a (-7,4) to a (-4,-…
C. $(x,y)\to(-y,x)$
-
a rectangle has a length that is 5 inches greater than its width, and i…
For the equation solution, $x = 8$. For the dimensions: width $= 8$ inches length $= 13$ inches
-
the coordinates for a point and its image are q (-3,-5) and q (5, -3). …
a. a 90-degree (counterclockwise) rotation
-
an image is drawn of a figure. after a 180° (counterclockwise) rotation…
C. (x,y)→(-x,-y)
-
devon got a pet lizard for his birthday. he measured the length of it i…
2 ### Part (b)
-
10. kassandra has a rectangular patio in her backyard. the patio is 12.…
Equation: \(P = 2(13 + 5)\), Estimated perimeter: \(36\) meters. ### Part B
-
which coordinate represents the image’s center of rotation? (image show…
(0, 1)
-
15. the diagram shows a convex polygon. what is the sum of the interior…
\( 1260 \) ### Question 16
-
list 5 multiples. circle the lcm. 10: 5:
For 10: 10, 20, 30, 40, 50 (circle 10) For 5: 5, 10, 15, 20, 25 (circle 10)
-
in triangle abc, the size of angle b is 5 times the size of angle a, an…
The size of angle \( A \) is \( 19.4^\circ \). The size of angle \( B \) is \( 97^\circ \). The size of angle \( C \) is \( 63.6^\circ \).
-
find the distance between the two points in simplest radical form. (-5,…
\(\sqrt{73}\)
-
an athlete whose event is the shot put releases a shot. when the shot w…
6.3
-
refer to the figure at the right. indicate whether each statement is tr…
False ### Part b:
-
complete each sentence. 1.1 a. points that lie on the same line are cal…
collinear #### b.
-
in exercises 11 and 12, find the value of the variable. then find the a…
11. \( n = 28 \), angle measures: \( 28^\circ \), \( 112^\circ \), \( 40^\circ \) 12. \( a = 12 \), angle measures: \( 84^\circ \), \( 120^\circ \), \( 84^\circ \), \( 144^\circ \)
-
reasoning find the perimeter and area of each triangle. round to the ne…
### Problem 30: Right Triangle with one leg 5 in and angle \(59^\circ\) #### Step 1: Identify the triangle type and knowns This is a right triangle (implied by the right angle sym…
-
1 does a square with an area of 20 cm² have a whole-number side length?…
No, a square with an area of \( 20 \, \text{cm}^2 \) does not have a whole - number side length. The side length \( s=\sqrt{20}\approx4.472 \), which is not an integer (whole numb…
-
write a polynomial in standard form that represents the area of the sha…
\( x^2 - 3x + 36 \)
-
station 15 a) what is the ratio of axes on the coordinate plane (both x…
The ratio is \( \frac{1}{2} \) (or 1:2) ### Part B
-
complete each sentence. 1.1 a. points that lie on the same line are cal…
collinear #### b.
-
what is the x-coordinate of the point where the dinosaur bone is locate…
\(-3\)
-
the bearing from a to c is s 51° e. the bearing from a to b is n 86° e.…
# Explanation: ## Step1: Calculate distance AB Distance = speed × time. Speed is 250 mph, time is 3.7 hr. So \( AB = 250\times3.7 = 925 \) miles. ## Step2: Find angles in triangle…
-
another fossilized bone was found outside the area of the grid. the pal…
Move the trowel \(3\) units left, then \(2\) units down (or move the trowel \(2\) units down, then \(3\) units left).
-
2. quadrilateral fish has coordinates f(-8,11), i(-7,9), s (0,6), h(-2,…
\(F' = (-3, 7)\), \(I' = (-2, 5)\), \(S' = (5, 2)\)
-
16. multiple choice 1 point 16. diagram: two vertical parallel lines cu…
a) \( x = 33^{\circ} \)
-
diane is staining the wooden floor of a court. the court is in the shap…
8
-
another fossilized bone was found outside the area of the grid. the pal…
The horizontal number line with markings - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5 (the one shown for the x - axis question) ### For the y - axis question:
-
mary wants to buy new carpet for her living room floor. the floor is in…
The carpet will cost $1824.
-
15. multiple choice 1 point 15. find the measure of x. a) ( x = 50^circ…
a) \(x = 50^{\circ}\) (Note: For question 16, the diagram is incomplete. Please provide the full diagram or the question details for question 16 to solve it.)
-
14. find the measure of x a) ( x = 283^circ ) b) ( x = 73^circ ) c) ( x…
c) \(x = 107^{\circ}\)
-
13. multiple choice 1 point 13. (diagram: two parallel horizontal lines…
a) \( x = 40^{\circ} \) ### Question 14 Assuming the two vertical lines are parallel, and the transversal cuts them. The 105° angle and (x - 2)°:
-
12. multiple choice 1 point 12. image of two lines with transversal, an…
d) \( x = 48^\circ \) ### Question 13 (Assuming we need to find the adjacent angle, but the question is cut off. If it's to find the supplementary angle, then 180 - 120 = 60, but …
-
1. true or false: the absolute value standard form is ( y = a|x - h| + …
True ### Question 2
-
based on the diagram, decide whether each statement is true. be prepare…
s: a. True b. False c. False d. True (For each row, select "True" or "False" as above.)
-
11. find the value of x (diagram: two vertical parallel lines cut by a …
b) \(x = 65^{\circ}\)
-
10 multiple choice 1 point 10. image of two parallel lines cut by a tra…
b. \(x = 106^\circ\) and \(y = 74^\circ\)
-
9. diagram with angles 95°, y°, x° find the measure of x and y a) ( x =…
d. \( x = 95^\circ \) and \( y = 85^\circ \) ### Question 10 (assuming we need to find x and y, but the diagram is a bit unclear; let's assume it's a right angle or something, but…
-
answer the question. 1 does a square with an area of 20 cm² have a whol…
No, a square with an area of \( 20 \, \text{cm}^2 \) does not have a whole - number side length. The side length \( s=\sqrt{20}\approx4.472 \), which is not an integer (whole numb…
-
e. conjectures are often written in the form, “if…, then….”. a statemen…
two parallel lines are cut by a transversal
-
d. x & 135° n: r: x= 135° & y n: r: y=
(for \( x \)): \( 45^\circ \)
-
x & 135° n: r: x= x & y n: r: y=
\( x = 135^\circ \) ### For \( x \) and \( y \):
-
in the rectangular prism, each small cube has edges that are \\(\\frac{…
$1\frac{1}{2}$ inches (Option: B. $1\frac{1}{2}$ inches)
-
c. rotate 90° clockwise around (-2,1).
To solve the problem of rotating a figure \( 90^\circ \) clockwise around the point \( (-2, 1) \), we follow these steps: ### Step 1: Identify the vertices of the original figure …
-
10. on your vehicles dashboard, what does the odometer tell you? 11. wh…
The odometer on a vehicle's dashboard tells you the total distance (in miles or kilometers, depending on the vehicle's settings) that the vehicle has traveled since it was first p…
-
aaron walks along the edge of a rug to measure its length, as shown. aa…
\(4\frac{1}{2}\) feet (the option: \(4\frac{1}{2}\) feet)
-
part e imagine that plaque uniformly coats the walls of the blood vesse…
12.6 (rounded to the nearest tenth)
-
c. rotate 90° clockwise around (-2,1).
The rotated vertices (example with correct method) would be calculated as above. For precise coordinates, recheck grid points, but the process is: translate to center \((-2,1)\), …
-
part d some forms of cardiovascular disease involve the buildup of plaq…
38.5
-
solve the inequality and graph the solution. -6 + 5k ≥ 9 to draw a ray,…
The solution to the inequality is \( k \geq 3 \). For the graph, plot a closed circle at \( 3 \) on the number line and draw an arrow to the right.
-
a. x & 135° n: corresponding r: x= 135° x & y n: verticle r: congruent …
For \( x \) and \( 135^\circ \): \( x = 135^\circ \) (corresponding angles, equal). For \( x \) and \( y \): \( y = 135^\circ \) (vertical angles, congruent).
-
with the skills l abcd. appropriately label the vertices. b. reflect ac…
To solve the reflection of a figure across the vertical line \( x = 1 \), we follow these steps: ### Step 1: Identify the coordinates of the original vertices First, we need to de…
-
for the figure below, give the following. (a) one pair of angles that f…
\(\angle 1\) and \(\angle 2\) (or other valid linear pair like \(\angle 2\) and \(\angle 4\) etc.) ### (b) Vertical Angles
-
in the figure, m∠1 = (x + 18)° and m∠2 = (3x)°. (a) write an equation t…
(Equation): \( 4x + 18 = 90 \) ### Part (b)
-
1. match each figure with the statement that proves ℓ || m. (diagrams w…
### Problem 1: Matching Figures with Parallel Line Proofs #### Step 1: Analyze the first figure (∠1 ≅ ∠4) ∠1 and ∠4 are corresponding angles. The Converse of the Corresponding Ang…
-
in the figure below, ( mangle 1 = 3x^circ ) and ( mangle 2 = (x + 42)^c…
\( m\angle1 = 36^\circ \), \( m\angle2 = 54^\circ \)
-
in the figure below, ( mangle 2 = 31^circ ). find ( mangle 1 ).
\( 59 \)
-
(a) an angle measures 52°. what is the measure of its complement? (b) a…
\(38^\circ\) ### Part (b)
-
36. (10x + 26)° y 21° (18x - 2)°
If we are finding \( x \), \( x = \frac{7}{2}=3.5 \); if we are finding \( y \), \( y = 98^\circ \) (assuming the correct angle relationship where \( (10x + 26)^\circ \) and \( (1…
-
in the figure below, ( mangle dba = 128^circ ). (a) write an equation t…
s: (a) Equation: \( 48 + 5x = 128 \) (b) \( x = 16 \)
-
in the figure below, m∠1=36° and m∠2=37°. find m∠pqs. m∠pqs= ☐°
$73$
-
(5x + 2)° y (8x - 25
If we were finding \(x\), \(x = 9\); if finding \(y\), \(y = 43\) (assuming the question is to find \(y\) or \(x\), based on the diagram's context, likely \(x = 9\) and \(y = 43\)…
-
question solve for x and graph the solution on the number line below. 1…
Inequality Notation: \(-3 < x \leq 6\) For the number line: We would plot an open circle at \(-3\) (since \(x > -3\), not including \(-3\)) and a closed circle at \(6\) (since \(x…
-
34. diagram of intersecting lines with angles labeled 79°, 103°, and va…
\(x = 24^\circ\), \(y = 77^\circ\) (assuming we need both; if only one, clarify, but based on diagram, likely x and y. If the question was to find x and y, this is the solution.)
-
use the figure to complete each part. (a) name the sides of ∠2. and (b)…
$\overrightarrow{QR}$ and $\overrightarrow{QS}$ ### Part (b)
-
4. perform the following rotations on quadrilateral abcd. a. rotate 90°…
To solve the rotation problems for quadrilateral \(ABCD\), we first need the coordinates of its vertices. Let's assume the coordinates (from the graph, estimating the grid): - Let…
-
alistair has a cube - shaped box that... what is the edge length of ali…
s: - Question 4: The filled boxes are (from top to bottom, left to right) \(6\), \(6\), \(6\), \(6\). - Question 5: The edge length of Alistair's box is \(\boldsymbol{6}\) inches.…
-
6. air traffic from the top of the 120-foot-high tower, an air traffic …
348.5
-
for questions 34 - 36, solve for both x and y
\(x = 2^\circ\), \(y = 103^\circ\) ### Question 35:
-
proofreading: words with /ōō/, /yōō/ read the passage. circle the best …
C. Change jewl to jewel ### Question 2
-
33. ∠1 and ∠2 are vertical angles. if m∠1 = (5x 12)° and m∠2 = (6x - 11…
\( 127^\circ \) (assuming the angle is \( (5x + 12)^\circ \) instead of \( (5x - 12)^\circ \) to get a positive angle measure)
-
32. ∠g and ∠h are complementary angles. if m∠g = (6x − 15)° and m∠h = (…
\( 39^\circ \)
-
12 find the value of y. (diagram with angles: (7x - 7)°, 63°, (3x + 45)…
To solve for \( y \), we first need to find the value of \( x \) using the given angles and the properties of parallel lines (since the horizontal segments are parallel, the corre…
-
31. ∠1 and ∠2 form a linear pair. if m∠1 = (18x - 1)° and m∠2 = (23x + …
\(109^\circ\)
-
30. if ( m perp n ), solve for ( x ).
\( x = 15 \)
-
29. solve for x. (4x + 7)° (2x + 5)° diagram of intersecting lines/angl…
\(x = 13\)
-
find the value of x. (diagram with angles ((x + 8)^circ) and ((6x - 58)…
12
-
practice example 1 refer to the figure for exercises 1–7. 1. name the l…
Lines \( n \) and \( q \) ### Problem 2: How many planes are labeled in the figure?
-
28. solve for x. (10x + 1)° and (12x - 5)° with intersecting lines (dia…
\(x = 3\)
-
find the value of x. (16x - 4)° (9x - 6)° 58°
\( x = 8 \)
-
circle the zero pairs in each model. find the 5. $-4 + 5 = $ red dots (…
$1$
-
use the diagram below to answer 23 - 27 a. diagram with 61° and 29° ang…
B, C, D, F (assuming these diagrams have adjacent angles; need to confirm, but based on adjacent angle definition: common side, common vertex, no overlap. So C (yes), B (yes), D (…
-
on the given axes, sketch a graph of the area of each piece as a functi…
To solve this, we assume we start with a shape (e.g., a square or rectangle) with an initial area. Let's assume we start with a 10x10 square (area = 100 square inches). Each cut (…
-
22. if $overline{ef}$ bisects $angle aed$, $mangle aef = (4x + 3)^circ$…
\( 102^\circ \)
-
use a number line to find each sum. (explore) 1. ( 9 + (-3) = ) ______ …
\( 6 \) ### Problem 3: \( -15 + 4 \)
-
21. if km bisects ∠jkl, m∠jkl = 92°, and m∠mkl = (5x + 1)°, find the va…
\( x = 9 \)
-
find the value of y.
To solve for \( y \), we first need to find the value of \( x \) using the properties of parallel lines and transversals. The angles \( (13x - 33)^\circ \) and \( (10x)^\circ \) a…
-
example 3 find the value of the variable and yz if y is between x and z…
\( c = 18 \), \( YZ = 72 \) Now problem 12: