Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
-
given the circle below with chords \\( \\overline{cd} \\) and \\( \\ove…
20.9
-
6. calculate the surface area of the right regular pentagonal pyramid. …
$84$ $\text{m}^2$
-
1. consider a right triangular prism. a. the cross section is parallel …
a. Triangle b. Rectangle
-
4. consider the following right triangular prism. a. sketch the shape o…
a. A right triangle (congruent to the prism's bases) b. A rectangle
-
5. find the surface area of the solid shown. it is composed of a cube a…
264 square inches
-
8 practice 8 (from unit 4, lesson 1) here are two triangles, each with …
\( x = 4 \) units \( y = 15 \) units
-
7 practice 7 (from unit 4, lesson 6) technology required. this diagram …
3.9
-
here is triangle abc. select all the true equations. a (sin(27)=\frac{y…
B. \(\cos(63)=\frac{y}{15}\), C. \(\tan(27)=\frac{y}{x}\), D. \(\sin(63)=\frac{x}{15}\)
-
technology required. abc, shown here, is a right triangle. find the unk…
\(BC\approx\boxed{40.82}\) units Measure of \(\angle C\approx\boxed{30.96}\)° (or 31°) Measure of \(\angle B\approx\boxed{59.04}\)° (or 59°) (Note: Depending on rounding, the answ…
-
shawn creates a circular garden with a radius of 9.5 feet. part a: shaw…
Part A: 59.66 feet Part B: 207.24 square feet
-
find e. write your answer as an integer or as a decimal rounded to the …
\(e \approx 5.1\)
-
find d. write your answer as an integer or as a decimal d =
\( d\approx15.1 \) (or 15 if integer is preferred, but more accurately ~15.1)
-
consider the map of a maze at a park. the maze has three circular walki…
- Outermost path: Path B - Middle path: Path C - Innermost path: Path A
-
find g. write your answer as an integer or as a decimal rounded to the …
\( 14.9 \)
-
find p. write your answer as an integer or as a decimal rounded to the …
\(5.2\)
-
9. solve for x (and y). a. b. c. d. $\\triangle cde \\sim \\triangle cv…
### Part a #### Step 1: Check Triangle Similarity (AA Criterion) First triangle angles: \(40^\circ\), \(80^\circ\), so third angle \(180 - 40 - 80 = 60^\circ\). Second triangle an…
-
in triangle t r s, side t s is 14, angle at r is 77°, angle at s is 58°…
\(12.2\)
-
find v. write your answer as an integer or as a decimal rounded to the …
\(8.5\)
-
find v. write your answer as an integer or as a decimal rounded to the …
\(8.5\)
-
below is the graph of $y = |x|$. translate it to make it the graph of $…
Translate the graph of \( y = |x| \) 2 units to the right and 5 units down to obtain the graph of \( y = |x - 2| - 5 \). The vertex moves from \( (0, 0) \) to \( (2, -5) \), and t…
-
graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0,3)\), \((0, - 3)\) and co - vertices at \((2,0)\), \((-2,0)\). The ellipse is symmetric about the \(…
-
graph the line that has a slope of \\(\\frac{1}{10}\\) and includes the…
To graph the line: 1. Plot the point \((0, 4)\) (since the line passes through this point as it is the y - intercept). 2. Use the slope \(\frac{1}{10}\): from the point \((0, 4)\)…
-
question given \\(\\sin a = \\frac{5}{\\sqrt{29}}\\) and that angle \\(…
$\frac{5}{2}$
-
question convert the following angle from degrees to radians. express y…
$\frac{10\pi}{3}$
-
question convert the following angle from degrees to radians. express y…
$\frac{31}{12}\pi$
-
question convert the angle \\( \\frac{7\\pi}{3} \\) radians to degrees.…
$420^\circ$
-
question convert the angle \\( \\frac{7\\pi}{3} \\) radians to degrees.…
$420^\circ$
-
question the terminal ray of some angle \\(\\theta\\) in standard posit…
$\sin(\theta) = \frac{-q}{5}$ because sine is the ratio of Point D's vertical displacement from the x-axis to its distance from the origin
-
question find an angle \\( \\theta \\) coterminal to \\( \\frac{35\\pi}…
$\frac{11\pi}{6}$
-
2.3.3 quiz: geometric constructions with lines and angles mastery test …
D. the distance from B to E
-
question find an angle \\( \\theta \\) coterminal to \\( \\frac{19\\pi}…
$\frac{7\pi}{6}$
-
question find an angle \\( \\theta \\) coterminal to \\( \\frac{17\\pi}…
$\frac{5\pi}{3}$
-
2.2.3 quiz: parallel and perpendicular lines what is the equation of a …
A. $y = \frac{3}{4}x - 11$
-
9. what is the measure of angle abe?
\(40^\circ\)
-
question 3 of 5 \\overleftrightarrow{ab} and \\overleftrightarrow{bc} f…
A. $x + 3y = 16$
-
question 2 of 5 line m has a y-intercept of c and a slope of \\(\\frac{…
B. $-\frac{q}{p}$
-
Question was provided via image upload.
The two figures **are** congruent because **rigid transformations (translation)** are used to map Figure 1 onto Figure 2. Side corresponding to side $\overline{ON}$: $\boldsymbol{…
-
figure 1 and figure 2 below are congruent. which side corresponds to si…
$\overline{FE}$
-
find a point on the line and the lines slope, $y - 5 = \\frac{4}{3}(x -…
point on the line: $(4, 5)$ slope: $\frac{4}{3}$
-
find the lines slope and a point on the line. y - 3 = -3(x + 2)
slope: $-3$ point on the line: $(-2, 3)$
-
solve the linear inequality. other than \\( \\varnothing \\), use inter…
(1, ∞) (With a number line showing an open circle at 1 and the line shaded to the right, matching the first option's graph)
-
question 10 10 pts what is the area of a triangle with vertices at (0,0…
B. 6 square units
-
1. find the perimeter of a rectangle with vertices at (1,2), (1,6), (5,…
16 units
-
what is the distance between the points (1, 2) and (4, 6)? ○ 5 ○ 3 ○ 4 …
A. 5
-
what is the midpoint of the segment joining the points (2, 3) and (6, 7…
(4, 5)
-
ac = 22, bc = x + 14, and ab = x + 10. find x. -1 -4 7 2
-1
-
if b is between a and c, and ab = 5 and bc = 7, then what is the length…
12 (Option: 12)
-
question 4 10 pts which of the following best describes an angle? a str…
D. A figure formed by two rays with a common endpoint
-
which of the following best describes a line? a flat surface that exten…
B. A straight path that extends infinitely in both directions
-
what is the correct term for a part of a line that has one endpoint and…
Ray
-
please complete the following test. you may use the desmos calculator a…
Line segment
-
use intercepts to graph the equation. 2x - 7y + 14 = 0 use the graphing…
The x-intercept is $(-7, 0)$ and the y-intercept is $(0, 2)$. Graph the line by plotting these two points and connecting them.
-
graph the following equation in a rectangular coordinate system. y = -5…
A horizontal straight line passing through all points where the $y$-coordinate is $-5$, such as $(0, -5)$ and $(5, -5)$, extending across the entire rectangular coordinate system.
-
14. error analysis what error did tyler make? m∠1 = 72 by same - side e…
The error is misapplying the Same - Side Exterior Angles Theorem. Same - side exterior angles are supplementary (sum to \(180^{\circ}\)), not equal. So \(m\angle1\) should be \(18…
-
find ( mangle d ). write your answer as an integer or as a decimal roun…
\( 41.4 \)
-
lesson 1.20 vowel diphthongs (oi, oy) a diphthong (pronounced dip thong…
### Part 1: Underline the words with the same vowel sound (oi/oy) 1. **Step 1: Identify the vowel sound (oi/oy) in each word.** - avoid: has "oi" sound (av**oi**d) - frog: no "oi/…
-
a square rug has an area 100 ft². write the side length as a square roo…
The rug has side length \( \boldsymbol{10} \) ft. (And \( \sqrt{100} = 10 \), which is a rational number as it can be expressed as \( \frac{10}{1} \).)
-
2. find the slope of the line that passes through the points a(0, 2) an…
The slope of the line is \(-\frac{3}{5}\)
-
two sides of a parallelogram are 450 feet and 650 feet. the measure of …
258263 square feet
-
two sides of a parallelogram are 32 feet and 77 feet. the measure of th…
679 square feet
-
in the triangle, suppose that ( mangle q=(6x - 7)^{circ} ), ( mangle r=…
### (a) Equation: $\boldsymbol{(6x-7)+(2x-2)+x=180}$ ### (b) Angle measures: $m\angle Q = \boldsymbol{119}^\circ$ $m\angle R = \boldsymbol{40}^\circ$ $m\angle S = \boldsymbol{21}^…
-
in the triangle below, ∠f is a right angle. suppose that m∠d = (4x + 22…
(a) Equation: $\boldsymbol{(4x+22)+(3x+33)=90}$ (b) $m\angle D = 42^\circ$ $m\angle E = 48^\circ$ $m\angle F = 90^\circ$
-
in the triangle below, ∠x is a right angle. suppose that ( mangle v=(5x…
(a) Equation: $(5x - 39) + (3x + 17) = 90$ (b) $m\angle V = 31^\circ$ $m\angle W = 59^\circ$ $m\angle X = 90^\circ$
-
22. find the measure of angle x.
\(40^\circ\)
-
. fill in the blanks to complete the proof below: given: c is the midpo…
3. \( \boldsymbol{\overline{AC} \cong \overline{DC}} \) 4. \( \boldsymbol{\angle ACB \cong \angle DCE} \); Reason: vertical angles are congruent 5. Reason: SAS congruence postulate
-
4. what is the volume of the prism in cubic units? 18 base 4 width 5 he…
360 cubic units
-
construct a tangent to the circle at point a. 1. construct a diameter t…
The tangent to the circle at point A is constructed by drawing a line perpendicular to the diameter PA at point A (using compass and straightedge construction for perpendicular to…
-
latoya is working on a report. so far, she has worked on it for 10 hour…
(a) Inequality: \(x - 10 < 2\) (b) \(10 < x < 12\) (c) On the number line: - Place an open circle at 10 and an open circle at 12. - Shade the segment of the number line between 10…
-
7. model rockets are created in various sizes. the height of a rocket i…
\(h(x)=4x + 1\) ### Problem 8
-
what are the coordinates of the centroid of $\\triangle abc$? simplify …
$(-1, 1)$
-
the diagram shows a convex polygon. what is the value of v? v = \\squar…
$v = 33^\circ$
-
the diagram shows a convex polygon. what is the value of c? c = \\squar…
$58$
-
lesson 1.18 vowel sounds (oo, ew, ou, ui) read the clues below. underli…
Underline: mushroom; Circle: oo (in mushroom) ### Question 2
-
coordinate planes $y = -2x$ $y = 3x - 4$ $y = \\frac{1}{2}x + 1$ $y = x…
### For $y=-2x$: | $x$ | $y$ | |-----|-----| | $-3$ | $6$ | | $-2$ | $4$ | | $0$ | $0$ | | $1$ | $-2$ | | $3$ | $-6$ | ### For $y=3x-4$: | $x$ | $y$ | |-----|-----| | $2$ | $2$ | …
-
which point is collinear to r & t? *
Point N
-
find the distance between the points a & b, to the nearest tenth. a(8, …
9.2
-
bonus: if the measure of one interior angle of a regular polygon is 160…
18
-
find the value of x & y 3 4 65° x° y
$x = 25^\circ$, $y = 4\sqrt{5}$ (or approximately $8.94$)
-
4. volume = 216 cm³
The side length $s$ of the cube is $6$ cm.
-
modeling real life your family decides to put a rectangular patio in yo…
Backyard perimeter: 130 feet Patio perimeter: 52 feet
-
modeling real life scientists rope off two excavation sites. site a is …
350 m
-
select from the drop - down menu to correctly complete the correct stat…
does not
-
two polygons are similar. the perimeter of the smaller polygon is 66 fe…
88
-
lesson 1.17 vowel sounds (oa, ow, ou, old, ost) name on the line, write…
stroll (Circle "oll" in stroll) ### Question 2
-
read the sentences below, filling in the blanks with items from this li…
1. height 2. area 3. pyramid 4. area 5. area 6. prism 7. prism
-
1. which formula applies to a triangular base pyramid with a base of 6 …
1. c. $A=\frac{1}{2} \times 6 \times 3$ 2. b. It triples 3. a. $V=\frac{1}{3}Bh$ 4. c. The area of the base and the height 5. a. Calculate the area of the square base 6. c. The vo…
-
in which figure do ∠1 and ∠2 represent a pair of alternate exterior ang…
The bottom-right figure (the fourth figure, with ∠1 above the top parallel line on the right of the transversal, ∠2 below the bottom parallel line on the left of the transversal) …
-
Question was provided via image upload.
$36$
-
6. a_{triangle} = \\frac{1}{2}bh a = \\underline{quadquad} in^2
$576$ in$^2$
-
find the cosine of $\\angle f$. simplify your answer and write it as a …
$\frac{8}{17}$
-
find the cosine of $\\angle d$. simplify your answer and write it as a …
$\frac{39}{89}$
-
other than itself, which angle is congruent to $\\angle 1$? $\\angle\\s…
$\angle 3$
-
what is an angle that is complementary to ∠5? ∠\\boxed{} submit
$\angle 6$
-
graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
-
12. which of the following graphs show a linear function?
B. <The straight diagonal graph>, D. <The straight diagonal graph with large grid>, E. <The straight horizontal graph>
-
given q(-2, 0), r(4, -4), & s(2, 4), graph △qrs and △qrs based on the i…
$Q'(-7, -1)$ $R'(5, -9)$ $S'(1, 7)$ *(To graph: Plot original points $Q(-2,0)$, $R(4,-4)$, $S(2,4)$ and connect to form $\triangle QRS$. Then plot the calculated $Q'$, $R'$, $S'$ …
-
griffin the gorilla needs your help griffin was caught and put in a cag…
1. girl, slide 2. Harry, Ben, friends 3. puppy, ball 4. teacher 5. class, zoo 6. cupcakes, table 7. Sam, doctor 8. Statue of Liberty
-
given l(0, 5), m(10, -10), & n(-5, 0), give the coordinates of the foll…
$L'(0, 15)$ $M'(30, -30)$ $N'(-15, 0)$
-
complete the proofs using the most appropriate method. some may require…
| Statements | Reasons | |------------|---------| | 1. $\angle BAC \cong \angle EDC$ | 1. Given | | 2. $\overline{BC} \cong \overline{EC}$ | 2. Given | | 3. $\angle ACB \cong \ang…
-
given l(0, 5), m(10, -10), & n(-5, 0), give the coordinates of the foll…
$L'(0, 25)$ $M'(50, -50)$ $N'(-25, 0)$