Geometría
Triángulos, círculos, geometría analítica y demostraciones.
-
20. if m∠pqs = 16°, m∠sqr = (9x + 17)°, and m∠pqr = (12x - 6)°, find m∠…
\( 150^\circ \)
-
topic 4: angle measures 19. if m∠def = 117°, find the value of x.
\(x = 7\)
-
2 describe a sequence of transformations that takes trapezoid abcd to i…
First, reflect Trapezoid \(ABCD\) over the \(y\) - axis. Then, translate the reflected trapezoid 6 units to the right.
-
16. given the graph below, find pq.
To solve for the length of \( PQ \), we can use the distance formula or count the horizontal and vertical distances between points \( P \) and \( Q \) (assuming a grid where each …
-
find the surface area of each figure. (use π = 3.14) 1) image of a comp…
# Explanation: ## Step1: Calculate surface area of the rectangular prism The formula for the surface area of a rectangular prism is \( SA_{prism} = 2(lw + lh + wh) \), where \( l …
-
which graph has the following range? 0, 7 a b c d #30 a b c d
D
-
14. find bc if b(8, -7) and c(-4, -2).
13
-
12. angles: (7y - 20)°, (5x - 38)°, (3x - 4)°; diagram with two vertica…
\(x = \frac{33}{2}=16.5\), \(y=\frac{131}{14}\approx9.36\) (or in fraction form \(x=\frac{33}{2}\), \(y = \frac{131}{14}\))
-
count and noncount nouns - count nouns → can be counted (book/books, ch…
7. b) rice 8. cows 9. a) football 10. fireflies, summer night 11. b) Mississippi River 12. book
-
2-5 additional practice parallel lines and triangle angle sums for exer…
\(x = 25\) ### Exercise 2
-
concrete and abstract nouns - concrete nouns → things you can... (blurr…
For the question "Which word is an abstract noun?": a) courage For the question "Which word is a collective noun?": b) orchestra For the question "Circle the collective noun. The …
-
answer ○ x ○ x+2 ○ x-2 ○ |x|+2 graph of a step - like function on a gri…
\(\lfloor x + 2 floor\) (the option with \(\lfloor x + 2 floor\))
-
complete subjects and predicates each sentence has a complete subject a…
- Circle: The girl with the blue ribbon - Underline: was running for class president ### For Sentence 2: "The poster with the sparkles was Reina’s."
-
for exercises 1–6, find the value of each variable.
\(x = 25\) ### Exercise 2
-
diagram of intersecting lines with angles labeled: (7x - 23)°, 49°, (3x…
\(x = 22\), \(y = 12\)
-
consider the function ( y = 2sin(x) ) for ( 0^circ leq x leq 360^circ )…
To graph \( y = 2\sin(x) \) for \( 0^\circ\leq x\leq360^\circ \): 1. **Label Axes**: Label the x - axis as "Angle (degrees)" and the y - axis as "y - value". 2. **Plot Key Points*…
-
b. what is the minimum possible value of this decimal? use words, pictu…
The minimum possible value of the decimal (that rounds to 18.6, assuming rounding to one decimal place) is \(18.55\).
-
question image (triangle with angles 60°, 60°, 5x) solve for x.
\(x = 12\)
-
what is the range of the graph? #12 a $(-7, -1)$ b $(-6, 6)$ c $-7, -1$…
C. \([-7, - 1]\)
-
if 2 of the angles of a triangle are 30 and 70 degrees, the third angle…
80 (assuming the options are in degrees, the third angle measures 80 degrees)
-
diagram shows two parallel lines (l and e) cut by a transversal. angles…
If we solve for \(x\) first, \(x = 24\); if we solve for \(y\), \(y=\frac{13}{4}\) (or \(3.25\)).
-
8) triangle with right angle, 30° angle, and side labeled ( 9x - 3 ) o.…
\(x = 7\)
-
question image (2x - 6)° (x + 10)° (x + 2) q. find the value of x
\(x = 44.25\) (or if there was a typo and the first angle was \((2x+9)^{\circ}\), \(x = 39.75\)). But based on the given problem as is, \(x=\frac{177}{4}=44.25\)
-
question image 0. find the measure of the missing angle. (image shows a…
The measure of the missing angle is \(30^\circ\).
-
the pre-image abcd is dilated to become the image abcd. the origin is t…
2
-
question image (5x - 2)° (3x + 4)° o. find the value of x
\(x = 11\)
-
the smaller triangle is a pre-image of the bigger triangle. the center …
\(4\) (the option corresponding to \(4\))
-
3) triangle with angles 130°, 25°, and ? o. find the measure of each an…
\(25^\circ\) (Wait, correction: Wait, 180 - 155 is 25? Wait no, 130 +25 is 155, 180 -155 is 25? Wait the triangle has angles 130, 25, and x. So 130 +25 +x = 180. So x = 180 - 130 …
-
△mnp is the image of △mnp under a dilation through point c. mp = 10 and…
\(\frac{2}{5}\)
-
what are the coordinates of the point (2, -3) after a counterclockwise …
\((3,2)\) (corresponding to the option \((3,2)\))
-
q. find the measure of the angle indicated.
\(66^\circ\)
-
directions: if ( l parallel m ), solve for ( x ) and ( y ). 9. diagram …
\( x = 11 \), \( y = 3 \)
-
question image o. solve for x (triangle with right angle at b, angles a…
\(x = 12\)
-
question image x + 80 x + 50 72° q 1. write an equation to find the val…
s: 1. The equation is \( (x + 50)+(x + 80)+72=180 \) (or simplified as \( 2x + 202=180 \)) 2. The value of \( x=-11 \) 3. If angle \( A=x + 50 \), then the measurement of angle \(…
-
use the diagrams below to answer #19-23 19. which diagram(s) show adjac…
C, D, F ### Question 20: Which diagram(s) show vertical angles?
-
find x. 78° 66° x o. find the measure of the indicated angle.
\(36^\circ\)
-
question image: a triangle with angles 70°, 65°, and one angle labeled …
\(x = -8\)
-
question image o. find the angle labeled with the question mark.
\(53^\circ\)
-
9 in the adjoining figure, pq intersects a pair of parallel lines (rs a…
A pair of alternate interior angles from the figure is \(\boldsymbol{\angle BCD}\) and \(\boldsymbol{\angle CDE}\) (the answer may vary slightly depending on the exact labeling of…
-
solve for x. (image: right triangle with one angle 20°, another angle l…
\(x = 9\)
-
3. in the adjoining figure, pq intersects a pair of parallel lines ab a…
\( x = 70^\circ \)
-
question image. a triangle with angles 70°, 60°, and 8x+2. q. solve for…
\(x = 6\)
-
why is the product of the number of pieces and the area of each piece a…
The product of the number of pieces and the area of each piece is always the same because it represents the total area of the original figure, which remains constant regardless of…
-
which pairs of figures below are congruent? followed by a table with fo…
s (matching the order of the table): 1. Top - Left: $\boldsymbol{\text{No}}$ 2. Top - Right: $\boldsymbol{\text{No}}$ 3. Bottom - Left: $\boldsymbol{\text{Yes}}$ 4. Bottom - Right…
-
7. classify each value as natural numbers, whole numbers, integers, rat…
To solve this, we analyze each value based on number set definitions: ### 1. \( 7\pi \) - Natural/Whole/Integer: \( \pi \approx 3.14 \), so \( 7\pi \) is non - integer, non - whol…
-
find m∠c. triangle with vertices a, b, c; angle at a: (21x - 1^circ), a…
\(34^\circ\)
-
examples 1 and 2 find the measure of each segment. 1. $overline{pr}$ 2.…
$2.1$ mm ### Problem 2: $\overline{EF}$
-
d) kamala wanted to fence the wire distance on that land. if she asks y…
250 meters of fence is enough. The perimeter of the trapezoidal land (calculated as the sum of its four sides, with the slant side found via Pythagorean theorem) is approximately …
-
2. what is the length of each hypotenuse? give your answer to the neare…
a) The length of \(z\) is approximately \(\boldsymbol{9.2}\space cm\). b) The length of \(d\) is approximately \(\boldsymbol{13.6}\space cm\).
-
o. solve for x
\( 54^\circ \)
-
divide by using an area model. then check your work. 2. 234 ÷ 18 check:…
### Problem 2: \(234\div18\) #### Area Model Division: 1. **Break down the dividend and divisor**: - We know that the area of a rectangle is \( \text{length} \times \text{width} \…
-
i can classify rational numbers. 1. classify the following numbers in t…
- **Natural Numbers**: 11, $\frac{18}{3}$, 9 - **Whole Numbers**: 11, $\frac{18}{3}$, 0, 9 - **Integers**: 11, $\frac{18}{3}$, 0, $-\frac{24}{4}$, -8.0, 9 - **Rational Numbers**: …
-
parallelogram c is a scaled copy of parallelogram b. diagrams: parallel…
\( \frac{7}{10} \)
-
polygon d is a scaled copy of polygon c. polygon c (with side lengths 2…
\( 0.75 \) (or \( \frac{3}{4} \))
-
triangle x is a scaled copy of triangle w. triangle w has sides labeled…
12
-
polygon l is a scaled copy of polygon k. polygon k (green) has side len…
21
-
polygon p is a scaled copy of polygon n. diagrams: polygon n (sides: to…
2.5
-
convert \\(\\frac{13\\pi}{6}\\) radians to degrees. (1 point) ○ 280 deg…
B. 390 degrees
-
pentagon k is a scaled copy of pentagon j. diagram of pentagon j (top s…
\( \frac{3}{4} \) (or \( 0.75 \))
-
write 60° in radian measure? (1 point) 60° is equivalent to dashed box …
\( \frac{\pi}{3} \) (corresponding to the first option: \( \boldsymbol{\frac{\pi}{3}} \))
-
question image. diagram shows a right triangle tsu with right angle at …
The measure of the unknown angle at \( T \) is \( 60^\circ \)
-
△abc and △def are similar. find the missing side length. b e /\\ /\\ 32…
64
-
a triangular pyramid is formed from three right triangles as shown belo…
35
-
a ray on the positive x-axis is rotated -450°. what is the cosine of th…
\(0\) (corresponding to the option "0")
-
date period 6. find the angle(s) of rotation that will carry the 12 - s…
The angles of rotation are \( 30^\circ,60^\circ,90^\circ,120^\circ,150^\circ,180^\circ,210^\circ,240^\circ,270^\circ,300^\circ,330^\circ \) (all multiples of \( 30^\circ \) from \…
-
question image p d b c 84° 17x - 1 7x + 5 o. solve for x
\(x = 9\)
-
using the unit circle, calculate the value of sin 240°. (1 point) (\fra…
\(-\frac{\sqrt{3}}{2}\) (corresponding to the option with \(-\frac{\sqrt{3}}{2}\))
-
given: abcd is a parallelogram. diagonals ac, bd intersect at e. prove:…
To assemble the proof: - For \(\angle ABE\), match with \(\angle CDE\) (alternate interior angles, \(AB \parallel CD\), transversal \(BD\)) - For \(\angle BAE\), match with \(\ang…
-
a right triangle has vertices at the origin, on the unit circle, and on…
1 (corresponding to the option "1")
-
1. write the decomposition that helps you, and then round to the given …
- Nearest tenth: \( 43.6 \) - Nearest hundredth: \( 43.59 \) - Nearest one: \( 44 \) (Note: For drawing number lines: - For nearest tenth: Draw a number line between \( 43.5 \) an…
-
5. a gift box is a cube with a volume of 64 cubic inches. what is the l…
The length of each edge of the box is 4 inches.
-
set 4. draw the lines of symmetry for each regular polygon. fill in the…
### Problem 4: Lines of Symmetry in Regular Polygons #### Step 1: Recall the property of regular polygons A regular \( n \)-sided polygon has \( n \) lines of symmetry. This is be…
-
15. - / 6.76 points find the unknown side of the triangle (in ft). roun…
\(22.4\)
-
find the unknown side (in cm) of the triangle. round to the nearest ten…
\(7.2\)
-
• use the names of the sets to label the regions. • place the numbers i…
- Whole numbers (inner circle): \(6, 19\) - Integers (between whole and rational): \(-42\) - Rational numbers (outside integers): \(\frac{4}{5}, - 8.\overline{09}\) (If we conside…
-
your best submission for each question part is used for your score. 13.…
28
-
move vertex d and observe how the measures change. make a conjecture. w…
AE and CE are always equal, BE and DE are always equal, AC and BD always bisect each other.
-
english medium year :2025-26 assignment-4 (semester - i) class: vii sub…
two 2. **Step 1: Recall the definition of supplementary angles** Supplementary angles add up to \( 180^\circ \). Let the supplementary angle of \( 45^\circ \) be \( x \). Then \( …
-
find the distance between point g and point h.
7
-
triangles abc and def are similar triangles. diagram: triangle abc with…
\(12\)
-
solve for x and graph the solution on the number line below. -32 < -3x …
Inequality Notation: \(-4 \leq x < 12\) (For the number line: Draw a closed circle at -4, an open circle at 12, and shade the region between them.)
-
practice 4 (from unit 1, lesson 4) d, r, t and v are the centers of the…
B. \(TU\)
-
find the ratio of the lengths of corresponding sides for the similar tr…
$\frac{3}{4}$
-
using the parallelogram side theorem what is the length of side ab of p…
8
-
answer attempt 2 are are not the two figures are congruent because non …
The two figures \(\boldsymbol{\text{are not}}\) congruent because non - rigid motions are used to map Figure 1 onto Figure 2.
-
ready, set, go ready 1. what is the smallest fraction of a full circle …
Fraction: $\frac{1}{8}$, Degrees: $45^\circ$ ### Question 2
-
what is the scale factor from δdef to δabc? scale factor: ________ the …
\( \frac{1}{2} \)
-
lesson summary in this lesson, we examined lines of symmetry and rotati…
To solve the reflection of quadrilateral \(ABCD\) over the given line (which appears to be \(y = x\) or a line with a slope of 1, based on the grid and the pre - image), we use th…
-
- / 6.66 points consider the following figure. give both exact values a…
(a): Exact: \( 16\pi \) ft Approximation: \( 50.27 \) ft ### Part (b): Area of the Circle
-
7 choose the word that best completes the sentence. some people think t…
C. because
-
determine if the two figures below are congruent. use the drop-down men…
\(\overline{VX}\)
-
4) una naranja tiene un diámetro de 10cm. elena corta una rodaja con un…
La longitud de la circunferencia de la rodaja es \( 6\pi \) cm (aproximadamente \( 18.85 \) cm).
-
consider the following figure (a rectangle with height 8 m and base 5 m…
\( 26 \) ### Part (b): Area of the Rectangle
-
triangles abc and def are similar triangles. use this fact to solve the…
12.4
-
solve. round to the nearest tenth. a ladder 8 m long is leaning against…
\(7.9\)
-
parallelogram fghj was dilated and translated to form similar parallelo…
4
-
11. - / 1 points find the unknown side of the triangle (in ft). round t…
\(16.5\)
-
the measures of the angles of a triangle are shown in the figure below.…
\(x = 18\)
-
10. if two circles have radii ( r_1 = 4 ) and ( r_2 = 12 ), what is the…
a. 3 ### Question 11
-
1. determine the length of each hypotenuse. a) image of a right triangl…
The length of the hypotenuse \(c\) is \(20\space\text{cm}\).