幾何
三角形、円、座標幾何、証明問題。
-
find the distance between the two points in simplest radical form. (6, …
$8\sqrt{2}$
-
find the distance between the two points in simplest radical form. (-6,…
$\sqrt{13}$
-
geometry, unit 5 - congruent triangles proof activity - part i name for…
1. Statements: \(\overline{BC} \cong \overline{DC}\), \(\overline{AC} \cong \overline{EC}\); Reasons: Given 2. Statements: \(\angle BCA \cong \angle DCE\); Reasons: Vertical \(\an…
-
11. triangles mno and pqr are similar. find the measure of the missing …
\(72\)
-
15. the formula for the perimeter of a rectangle is $p = 2l + 2w$, wher…
\(l=\frac{P - 2w}{2}\) (or equivalent forms like \(l=\frac{P}{2}-w\))
-
7) solve and graph the inequality: \\(\\frac{5}{4}b < 2\\frac{2}{4}\\)
The solution to the inequality is $b < 2$. For the graph: On a number line, use an open circle at $2$ and shade the region to the left of $2$.
-
10. triangles abc and def are similar. find the measure of the missing …
\(61\)
-
problem 4 - part c an equilateral triangle has three sides of equal len…
\( P(s) = 3s \)
-
select the two equations that represent the same line. $y - 2 = 3(x - 1…
\(y + 4=\frac{1}{2}(x - 2)\) and \(x - 2y-10 = 0\)
-
question find the distance between the two points in simplest radical f…
$5$
-
problem 4 - part b an equilateral triangle has three sides of equal len…
30
-
problem 4 - part a an equilateral triangle has three sides of equal len…
6
-
deedee draws a rectangle with sides measuring 12 inches and 30 inches. …
- Area of original rectangle: \( 360 \) square inches. - Area of dilated rectangle: \( 14.4 \) (or \( \frac{72}{5} \)) square inches. - The area of the original rectangle is \( 25…
-
write the coordinates of the vertices after a translation 7 units right…
$A'(10, -4)$ $B'(10, 6)$ $C'(8, -4)$
-
write the coordinates of the vertices after a translation 2 units left …
$C'(-3, -3)$ $D'(4, -3)$ $E'(-6, -10)$
-
write the coordinates of the vertices after a translation 2 units left …
# Explanation: ## Step1: Identify original coordinates Original[LLM SSE On Failure]
-
are these triangles similar? using the distance formula and proportions…
The triangles are similar. This is because they both have a \(45^\circ\) angle, and the sides around this angle are proportional (the ratios of corresponding sides are equal, sati…
-
solve the problem using inductive reasoning. how many line segments are…
10,28
-
christine is pumping water into an aquarium at a rate of 12 liters per …
(a) \(x < 24\); Graph: Open circle at 24, shaded left (b) To meet the goal, the aquarium will have less than 324 liters of water in it. This will take less than 24 minutes.
-
what have you learned so far? write a quick summary (2-3 sentences) des…
Vertical lines have an undefined slope, as they have no horizontal change between any two points on the line. They are represented by the equation $x = a$, where $a$ is the fixed …
-
a construction crew is lengthening a road. the crew is adding 6 miles t…
(a) $x \geq 13$ (b) The crew's goal is to lengthen the road to at least 130 miles. This will take at least 13 weeks.
-
finding area find the area of the figure. round decimal answers to the …
54 square centimeters
-
solve the problem using inductive reasoning. how many triangles are in …
A. 16
-
given that n = 48 and a = 60, what is the value of b? (1 point) \\(\\bi…
\( b = 45 \) (so the option is \( b = 45 \))
-
imagine that a rectangular prism similar to the one shown has a scale f…
\( 15\ cm^3 \) (corresponding to the option "15 \( cm^3 \)")
-
solve it #2 a. determine the weight of a circle so the hanger stays bal…
40
-
a rectangle measures 4 inches by 10 inches. it is dilated using a scale…
250
-
use the image to answer the question. given that \\(\\overline{ab} = 9\…
15 (corresponding to the option "15")
-
use the image to answer the question. given the image, which statement …
\( DF = \frac{1}{2}BC \) (the second option, i.e., the option with \( DF = \frac{1}{2}BC \))
-
what is the area of this figure? image of a composite geometric figure …
63.5 square feet
-
equations and inequalities solving a word problem using a two - step li…
(a) \(x \geq 10\) (b) To meet the goal, the tree must be at least 234 centimeters tall. This will take at least 10 years.
-
which of the following is equivalent to the line defined by (4,9) and (…
D. \( 9x + 4y = 72 \)
-
look at this diagram: if \\( \\overleftrightarrow{ln} \\) and \\( \\ove…
$116^\circ$
-
name the plane that is highlighted in the diagram below. answer attempt…
Plane XYT (or Plane XTU, Plane YTU, Plane XYU - any set of three non-collinear points from the highlighted face is acceptable, with Plane XYT being a standard choice)
-
line l is shown below. right triangles abc and def are drawn to measure…
(a) rise: 4, run: 1, slope: 4 (b) rise: 8, run: 2, slope: 4 (c) Yes. They are equal because the two triangles are similar.
-
y < -2x + 7\ y > 2x - 5
The solution to the system of inequalities \( \begin{cases}y\leq - 2x + 7\\y>2x-5\end{cases} \) is the region that is below (or on) the line \( y=-2x + 7 \) and above the line \( …
-
question find the value of tan m rounded to the nearest hundredth, if n…
$0.21$
-
the diagram shows a triangle. what is the value of ( v )? ( v = square^…
$39^\circ$
-
the diagram shows a triangle. what is the value of ( c )? ( c = square^…
$82$
-
the diagram shows a triangle. what is the value of ( b )? ( b = square^…
$b = 28$
-
the triangle below is isosceles. find the length of side $x$ to the nea…
$1.7$
-
before you continue, we recommend completing the day 2 activity, eason …
No, because the corresponding angles are congruent but the corresponding sides are not.
-
remember, you have access to a printable copy of the online practice qu…
They have the same size and shape.
-
the triangle below is equilateral. find the length of side x in simples…
\(\frac{11\sqrt{3}}{3}\)
-
find the length of side x to the nearest tenth.
8.5
-
the diagram shows a triangle. what is the value of ( p )? ( p = square^…
$27^\circ$
-
the diagram shows a triangle. what is the value of ( u )? ( u = square^…
$u = 9$
-
use the given information to complete the proof of the following theore…
2. \( \overline{AB} \parallel \boldsymbol{\overline{CD}} \) 3. \( \overline{AD} \parallel \boldsymbol{\overline{BC}} \) 4. \( \angle 1 \cong \boldsymbol{\angle 3} \) (Alternate In…
-
the diagram shows a triangle. what is the value of ( b )? ( b = square^…
$12$
-
the diagram shows a triangle. what is the value of ( w )? ( w = square^…
$9$
-
the figure below is a square. find the length of side $x$ to the neares…
0.7
-
writing equations of parallel lines what is the slope of the line that …
1. Slope of the parallel line: $-\frac{1}{4}$ 2. Point-slope form equation: $y + 4 = -\frac{1}{4}(x + 2)$ 3. y-intercept of the parallel line: $-\frac{9}{2}$ (or $-4.5$)
-
for the following right triangle, find the side length x. right triangl…
41
-
the triangle below is equilateral. find the length of side x to the nea…
10.4
-
the triangle below is equilateral. find the length of side x to the nea…
$1.6$
-
the triangle below is equilateral. find the length of side x to the nea…
$x \approx 4.6$
-
the diagram shows a triangle. what is the value of ( b )? ( b = square^…
$35^\circ$
-
find s. right triangle with angles 60°, 30°, right angle; hypotenuse 28…
14
-
in the circle below, a is the center, \\(\\overline{bd}\\) is a diamete…
$\angle BAC$ (or $\angle BAD$, $\angle DAE$, etc.) ### (b)
-
find c. right triangle with angles 30°, 60°, 90°, hypotenuse? wait, no,…
\(14\)
-
given: abcd is a parallelogram, \\(\\overline{bg} \\cong \\overline{dh}…
To prove \( \overline{GE} \cong \overline{HF} \), we use properties of parallelograms (opposite sides parallel and congruent) and congruent segment addition/subtraction, then tria…
-
in δmno, \\(\\overline{mn} \\parallel \\overline{pq}\\). given that \\(…
25
-
a) create a segment addition equation to find the length of bc, then b)…
s: a) The Segment Addition equation is \( 22 + x = 61 \) (where \( x \) is the length of \( BC \)). b) The value of \( x \) is \( \boldsymbol{39} \).
-
the figure below is a square. find the length of side $x$ to the neares…
$2.8$
-
the triangle below is equilateral. find the length of side x to the nea…
$x \approx 7.8$
-
this is a parallelogram. which shows the parallelogram cut and rearrang…
- The diagram that shows the parallelogram cut and rearranged into a rectangle is the lower one (with length 9 yd and width 5 yd). - The area of the parallelogram is 45 square yar…
-
$\\angle qsr \\cong \\angle sqt$, $\\overline{rs} \\perp \\overline{qr}…
For statement 5, the reason is "Reflexive Property of Congruence". For statement 6, the reason is "AAS (Angle - Angle - Side) Congruence Criterion".
-
find k. right triangle with angles 30°, 60°, right angle; hypotenuse 8√…
\(4\sqrt{3}\)
-
4. draw the parabola for the set of analysis given below. 5 marks draw …
1. Axis of symmetry: Vertical line $x=3$ drawn through the vertex. 2. X-intercepts: Points $(2, 0)$ and $(4, 0)$ plotted. 3. Y-intercept: Point $(0, 8)$ plotted. 4. Direction of o…
-
3. complete the analysis for the following parabola. (5 marks) draw the…
- Axis of symmetry: $x=2$ - Zeroes (x-intercepts): $(-1, 0)$ and $(5, 0)$ - y-intercept: $(0, 5)$ - Direction of opening: Downward - Vertex: $(2, 5)$
-
halla el volumen de la esfera. introduce una respuesta exacta en términ…
267.95 unidades³
-
in the following figure, all angles formed by adjacent sides are right …
\(18x^2 + 24x\) (the option corresponding to this expression, which is the last option: \(18x^2 + 24x\))
-
in row 1 type the equation of the line shown
$y=0$
-
in row 1 type the equation of the line shown
$x = -6$
-
what is the sequence of transformations that maps △ abc to △ abc? selec…
Step 1: Reflect $\triangle ABC$ over the y-axis Step 2: Translate the reflected triangle: - Point $A$: 4 units up - Point $B$: 3 units right and 2 units down - Point $C$: 5 units …
-
consider parallelogram jklm below. use the information given in the fig…
$m\angle NJK = 44^\circ$ $m\angle NKJ = 62^\circ$ $x = 3$
-
8. identify and circle all terms below that are like terms for 8s. 8s 8…
The like terms for $8s$ are $\boldsymbol{8s}$ and $\boldsymbol{s}$ (already circled in the provided image).
-
graph the line with slope -6 and y-intercept 6.
The line can be graphed by plotting two points: (0,6) and (1,0), then drawing a straight line through them.
-
in the circle below, a is the center, \\(\\overline{bd}\\) is a diamete…
\( \angle BAC \) (or \( \angle BAD \), \( \angle CAE \), etc. as valid central angles) ### (b)
-
7) right triangle with one leg (sqrt{26}) m, another leg 5 m, hypotenus…
7) $\boldsymbol{\sqrt{51}\ \text{m}}$ 8) $\boldsymbol{9\sqrt{2}\ \text{in}}$ 9) $\boldsymbol{\approx 7.25}$ 10) $\boldsymbol{\approx 10.32}$ 11) $\boldsymbol{\approx 9.26}$ 12) $\…
-
express tan t as a fraction in simplest terms. triangle with right angl…
$\frac{6}{7}$
-
4. find the value of x so that the line through the points (1, 12) and …
\(x = 11\)
-
circle the value that makes $25k \\geq 875$ true. 20 32 25 35
35
-
4-12 practice problems name: 1. \\(4(x - 3) + (2x + 10)\\) 2. \\((3x + …
$6x-2$ ---
-
1 + 2v > 7 to draw a ray, plot an endpoint and select an arrow. select …
The solution to the inequality \( 1 + 2v > 7 \) is \( v > 3 \). On the number line, plot an open circle at 3 and draw an arrow to the right.
-
solve for x in the figure below. (figure with triangle fgh and exterior…
For the left - hand figure, \(x = 8\); for the right - hand figure, \(x=-11\)
-
19 what is the name of this 3d shape? (image of a 3d shape with edges l…
B. Cube
-
find the missing angle. (left triangle: angle at d with exterior angle …
s: Left triangle missing angle (∠E): $35^\circ$ Right triangle missing angle: $55^\circ$
-
18 how do you name a 3d shape? a by its face b by its base c by its sur…
B. By its base
-
how many faces does the figure have? image of a pyramid-like figure 4
4
-
how many faces does this rectangular prism answer: face
6
-
step 4: lets check! \\(\\frac{x}{3} > 6\\) step 5: represent on the num…
The solution to the inequality is $x > 18$. On the number line, this is represented by an open circle at 18 and an arrow extending to the right.
-
how many faces does the figure have? 4
4
-
how many rectangles are used to make the s an octagonal solid? answer: …
8
-
look at the shape below. how many of its fac squares? answer:
2
-
solve for x in the figure below. (left triangle: right - angled, one an…
For the right triangle: $x = -12$ For the triangle with $130^\circ$ angle: $x = 9.6$ (or $\frac{48}{5}$)
-
geometry - unit #8 © 2020 kuta software llc. all rights reserved. name …
1) $x \approx 24.820$ km 2) $x \approx 14.422$ mi 3) $x \approx 12.728$ m 4) $x = 8$ mi 5) $x \approx 12.369$ cm 6) $x \approx 17.493$ mi
-
the total area of the figure to the right is 459 cm². use this fact to …
The equation is $20x + 200 = 459$ (or the expanded form $x(20+x) + x(10-x) + 10(20-x) = 459$), and $x = 12.95$ cm
-
y = -\\frac{5}{3}x - 1\ click to select points on the graph.\ (graph wi…
# Explicación: ## Paso 1: Encontrar el intercepto y La ecuación es $y = -\frac{5}{3}x - 1$, en la forma $y=mx+b$, el intercepto y es $b=-1$. Así que el punto es $(0, -1)$. ## Paso…
-
find the missing angle. ? 60° 80° find the missing angle. d? e 75° k c …
First triangle missing angle: $40^\circ$ Second triangle missing angle: $30^\circ$