几何
三角形、圆、解析几何与证明题。
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11) state the domain and range for each line segment a) d: r: b) d: r: …
D: \(0\leq x\leq5\) (or \([0,5]\)) R: \(0\leq y\leq2\) (or \([0,2]\)) B)
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which graph shows line symmetry about the y-axis?
The graph of \( g(x) \) (the third graph) shows line symmetry about the \( y \)-axis.
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find the sine, cosine, and tangent of ∠g. write your answer in simplifi…
$\sin(G) = \frac{5\sqrt{74}}{74}$ $\cos(G) = \frac{7\sqrt{74}}{74}$ $\tan(G) = \frac{5}{7}$
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amy wanted to study how the area of a rectangle changes with the length…
domain: $x \geq 0$ range: $y \geq 0$
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determine whether a triangle with the given side lengths is a right tri…
(a) Right triangle (b) Not a right triangle (c) Not a right triangle (d) Not a right triangle
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in the figure below, ( l parallel m ). find ( x ).
$93$
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find the sine, cosine, and tangent of ∠e. write your answer in simplifi…
$\sin(E) = \frac{\sqrt{23}}{7}$ $\cos(E) = \frac{\sqrt{26}}{7}$ $\tan(E) = \frac{\sqrt{598}}{26}$
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find the sine, cosine, and tangent of ∠f. write your answer in simplifi…
$\sin(F) = \frac{\sqrt{210}}{24}$ $\cos(F) = \frac{\sqrt{366}}{24}$ $\tan(F) = \frac{\sqrt{2135}}{61}$
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a kite flying in the air has a 12 - ft line attached to it. its line is…
6.6 ft
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a 34 m tall building casts a shadow. the distance from the top of the b…
14.6 m
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x = db = if ae= 6x - 55 & ec= 3x - 16, find db. 6x - 55 + 3x - 16 show …
\( x = 13 \) \( DB = 46 \) ### Problem 6 (Middle - Rectangle Diagonals)
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try this for yourself! algebra find the value of x that makes ( m paral…
\(x = 40\) ### Problem 4:
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which graph shows rotational symmetry?
The graph of \(f(x)\) (the second graph in the top row) shows rotational symmetry.
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find the cosine of $\\angle u$. write your answer in simplified, ration…
$\frac{2\sqrt{19}}{19}$
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example 3 prove the alternate interior angles converse prove that if tw…
To properly prove the Alternate Interior Angles Converse, we can use a more precise and complete two - column proof: ### Step 1: List the given information We are given that $\ang…
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in the figure below, ( mangle 1 = 6x^circ ) and ( mangle 2 = (x - 23)^c…
$m\angle 1 = 174^\circ$ $m\angle 2 = 6^\circ$
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find \\tan(m) given the triangle. enter your answer as a fraction.
$\frac{21}{20}$
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in the figure below, ( mangle 1 = 5x^circ ) and ( mangle 2 = (x + 12)^c…
$m\angle 1 = 65^\circ$ $m\angle 2 = 25^\circ$
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find the sine of $\\angle w$. write your answer in simplified, rational…
$\frac{3\sqrt{74}}{37}$
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convert \\(\\frac{\\pi}{3}\\) radians to degree measure.
$60^\circ$
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find tan (r) given the triangle. enter your answer as a fraction draw
$\frac{20}{21}$
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find the sine, cosine, and tangent of $\\angle j$. simplify your answer…
$\sin(J) = \frac{12}{13}$ $\cos(J) = \frac{5}{13}$ $\tan(J) = \frac{12}{5}$
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find the sine, cosine, and tangent of $\\angle e$. simplify your answer…
$\sin(E) = \frac{72}{97}$ $\cos(E) = \frac{65}{97}$ $\tan(E) = \frac{72}{65}$
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find \\(\\tan(a)\\) given this triangle. enter your answer as a fractio…
$0.225$ or $\frac{9}{40}$
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the rectangles shown below are similar. determine the length of the sid…
\( x = 16 \)
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find the sine, cosine, and tangent of ∠c. simplify your answers and wri…
$\sin(C) = \frac{12}{13}$ $\cos(C) = \frac{5}{13}$ $\tan(C) = \frac{12}{5}$
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describe the symmetry of this function. line symmetry only rotational s…
rotational symmetry only
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find \\sin(x) given the triangle. enter your answer as a fraction. draw
$\frac{63}{65}$
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23. 1. if j is the centroid of $\\triangle cde$, $de = 52$, $fc = 15$, …
a) $DG = \boldsymbol{\frac{104}{3}}$ b) $GE = \boldsymbol{\frac{52}{3}}$ c) $DF = \boldsymbol{15}$ d) $CH = \boldsymbol{14}$ e) $CE = \boldsymbol{28}$
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22. a(n) ______________ is equidistant from the sides of a triangle. op…
C. Incenter
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21. a(n) ______________ is equidistant from the vertices of a triangle.…
circumcenter
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20. the three _________________ of a triangle intersect at the orthocen…
B. altitudes
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19. the three __________ of a triangle intersect at the centroid. - med…
A. medians
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ognize symmetry in functions describe the symmetry of this function. li…
line symmetry only
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18. the three ________ of the angles of a triangle intersect at the inc…
B. angle bisectors
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find cos (v) given the triangle. enter your answer as a fraction.
$\frac{24}{25}$
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the three __________ of the sides of a triangle intersect at the circum…
C. Perpendicular bisectors
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16. altitudes & orthocenter altitude triangle with altitude image a seg…
orthocenter
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the quadrilateral below is a parallelogram, find the missing measures. …
\( CF = \boldsymbol{10} \), \( FE=\boldsymbol{15} \), \( CE=\boldsymbol{14} \), \( GD=\boldsymbol{11} \) (Note: The values provided in the original blanks may be incorrect as per …
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Question was provided via image upload.
1. Completed final sentence: An Altitude can be $\boldsymbol{inside}$ a triangle, $\boldsymbol{outside}$ a triangle, or a $\boldsymbol{side}$ of the triangle. 2. Confirmation of p…
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Question was provided via image upload.
side
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Question was provided via image upload.
vertex
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given ( pq = 24 ), ( ps = 19 ), ( pr = 42 ), ( tq = 10 ), ( mangle pqr …
\( 19 \) ### For \( m\angle QRS \):
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find the cosine of $\\angle d$. simplify your answer and write it as a …
$\frac{39}{89}$
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find the sine of ∠x. simplify your answer and write it as a proper frac…
$\frac{56}{65}$
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12. if j is the centroid of triangle def, dh=51, gf=60, and el=57, find…
19
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10. if j is the centroid of triangle def, dh=51, gf=60, and ei=57, find…
For question 10: $JF = 40$ For question 11: $EJ = 38$
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find cos (a) given the triangle. enter your answer as a fraction. 231 a…
$\frac{77}{85}$
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school of technology students want to build a deck around a 15 foot by …
The expression for the area of the pool with the deck included is \( 4x^{2}+70x + 300 \) (or in factored form \( (20 + 2x)(15 + 2x) \)).
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consider the following pair of points. (5, -1) and (6, -6) step 1 of 2 …
$\sqrt{26}$
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plot the following points in the cartesian plane. {(3, 4), (-9, 9), (-9…
- Point $(3,4)$: 3 units right, 4 units up from the origin - Point $(-9,9)$: 9 units left, 9 units up from the origin - Point $(-9,-10)$: 9 units left, 10 units down from the orig…
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find cos (m) given the triangle. enter your answer as a fraction. draw …
$\frac{33}{65}$
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the tiled floor in cayden’s dining room has a rug on it as shown below.…
72
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4 the rectangle weighs exactly as much as 6 trapezoids, 96 oz what is t…
B. 32 oz
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linda martinez designs emblems for theaters and needs to measure the em…
Height: $1\frac{1}{4}$ inches Width: $3\frac{1}{8}$ inches
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find cos(m) given the triangle. enter your answer as a fraction or as a…
$\frac{9}{41}$ or $0.220$
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2. in the given figure, m∠p = 56° and m∠q= 82°. find m∠qrx.
\(138^{\circ}\)
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5 looking at the venn diagram above, which of the following describes k…
D. has a cat
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what value is the arrow pointing to? enter your answer as a reduced one…
2/5
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6. state what information is needed in order to make the given congruen…
We need $\boldsymbol{\angle MED \cong \angle EDF}$ (or $\boldsymbol{\angle MED = \angle EDF}$) to satisfy the ASA triangle congruence rule. ---
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what value is the arrow pointing to? 0 1 enter your answer as a reduced…
3/8
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question 1-4 find the area of rectangle a, given the areas of the squar…
$18$ ft²
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first find the total area of the driveway. a = ft²
700 $\text{ft}^2$
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what value is the arrow pointing to? 0 1 enter your answer as a reduced…
1/2
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what value is the arrow pointing to? enter your answer as a reduced one…
1/4
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unit 3, lesson 6: elimination or substitution? learning focus: identify…
$x=5$, $y=2$
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find the area ( a ) of the sector and the arc length ( s ) of a circle …
Sector area: $\frac{25\pi}{6}$ square feet, Arc length: $\frac{5\pi}{3}$ feet
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edward’s grandmother used to make him pannukakku when he was little. he…
1. The area of the 9-in. by 13-in. pan is 117 in.$^2$ 2. A pan with a radius of 6 in.
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question given ( m parallel n ), find the value of ( x ). answer attemp…
$145$
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7. find the value of y. \ 8. find the value of x. \ triangle abc with a…
\(x = 20.8\)
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Question was provided via image upload.
Since the problem is not clearly stated (e.g., what to do with these triangle cards: identify similar triangles, find missing angles/sides, etc.), we can't proceed with a solution…
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the chalk circle around the pitcher’s mound has a diameter of 16 ft. wh…
$64\pi$ ft²
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12 a circular tablecloth has a radius of 5 feet. each square foot of fa…
The total cost of the fabric is $196.25.
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in the figure below, suppose ( mangle3 = 43^circ ) and ( mangle4 = 78^c…
s (filling the boxes in order): 180, 180, 121, 59, 180, 121, \(=\)
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4. find the circumference.
$48.67\ \text{m}$
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determining when to use the law of cosines which of these triangles can…
The triangle with sides 12, 8 and included angle \(138^\circ\) (the second triangle)
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in the figure below, suppose ( mangle3 = 39^circ ) and ( mangle4 = 108^…
The sum of the interior angle measures of a triangle must be \(\boldsymbol{180}\)°. So, \(m\angle1 + m\angle3 + m\angle4=\boldsymbol{180}\)°. So, \(m\angle1 + m\angle4=\boldsymbol…
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in δdef, de = 11, ef = 9, and angle e = 140°. which equation correctly …
\(e^{2}=11^{2}+9^{2}-2(11)(9)\cos(140^{\circ})\) (the first option)
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what is the slope of the line that passes through the points (6, -8) an…
undefined
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if st = w and pr = w - 37, what is the value of w? s t r p q w =
74
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the two polygons below are similar. complete the similarity statement. …
$RQPS$
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5-47. at right is a graph of a periodic function and the line ( y = 5 )…
a. $\boldsymbol{20}$ b. $\boldsymbol{(22.62, 5)}$ c. $\boldsymbol{(-8.69, 5)}$
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fill in the blank 1 point \they create and simplify math with the numbe…
addition and subtraction
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after spending the afternoon at the park, kathleen and her friend sadie…
\( d > 7 \) For graphing: - The ray should start at 7 (open circle, since \( d > 7 \) not \( d \geq 7 \)) and point to the right (towards values greater than 7, like 8, 9, 10, etc…
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multiple answer 1 point \arabs take a great leap forward in __, enginee…
A. Medicine, C. Astronomy
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find ( mangle u ). triangle image with right angle at v, wv = 6, vu = 4…
$56.3^\circ$
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5. (the chart is a coordinate grid with a line passing through points, …
The equation of the line is \(y =-\frac{5}{2}x - 3\)
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use the number line to subtract. $-7 - (-2)$ (a) draw two arrows to sho…
1. First arrow: Draw from 0 to $-7$ (to show the starting number $-7$). 2. Second arrow: Draw from $-7$ to $-5$ (to show adding 2, which is the equivalent of subtracting $-2$). Th…
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Question was provided via image upload.
1. Son semejantes, $\Delta STU \sim \Delta QPR$ 2. No son semejantes 3. Son semejantes, $\Delta ABC \sim \Delta EFD$
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mark is designing a robot out of recycled material for art class. the r…
The area of the robot’s head is \( x^2 - 10x + 25 \) (or \( (x - 5)^2 \)). ### Question 8:
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ivanna is riding laps on her motorcycle. it takes her 5 minutes to comp…
(a) Inequality: $5x > 35$ (b) $x > 7$ (c) Draw an open circle at the point 7 on the number line, then draw a solid arrow pointing to the right from this circle to represent all nu…
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4. $a^2 + b^2 = c^2$
The triangle is a right triangle, as the Pythagorean theorem $a^2 + b^2 = c^2$ is satisfied.
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it takes her 5 minutes to complete a lap. she will ride for more than 3…
(a) Inequality: $\boldsymbol{5x > 35}$ (b) $\boldsymbol{x > 7}$ (c) On the number line: Place an open circle at 7, and draw a shaded arrow extending to the right from 7.
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6. which of the following represents an expression for the area of the …
d. \( x^{2}+x - 6 \)
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3. find the perimeter of each shaded shape. — = 1 unit perimeter = 10 p…
To solve for the perimeters of the shaded shapes (assuming the third and fourth are to be calculated, and the first two are blanks), we use the grid method (each square has side l…
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determinar si los triángulos son semejantes. si lo son, escribir si es …
1. Son semejantes ($\triangle MNY \sim \triangle XZY$ por criterio AA) 2. No son semejantes 3. Son semejantes ($\triangle IGH \sim \triangle LKJ$ por criterio AA)
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name: date: period: 4 - 9. find the missing parts of each number line. …
14 ### Part b
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4-8. tina’s rectangular living - room floor measures 15 feet by 18 feet…
270 square feet ### Part b
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1. circle your position. yes, the new deal was successful no, the new d…
1. **Document A**: Evidence: Provided employment opportunities and eased mortgage distress. Credibility: Captures contemporary public gratitude, showing direct relief from economi…
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bob is working on a report. so far, he has worked on it for 5 hours. he…
(a) Inequality: $x - 5 < 8$ (b) $5 < x < 13$ (c) Draw an open circle at 5 and an open circle at 13 on the number line, then shade the interval between these two points.