几何
三角形、圆、解析几何与证明题。
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the coordinates of the vertices for the figure hijk are h(0, 5), i(3, 3…
1. The first blank: bisect each other 2. The second blank: $(2,2)$ 3. The third blank: have the same midpoint
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one of the legs of a right - triangle measures 3 cm and the other leg m…
$18.2$ cm
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question the hypotenuse of a right triangle measures 17 cm and one of i…
$11.0$ cm
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we want to find their intersection points. 1) one intersection point is…
1. \((0,1)\) 2. \((4,9)\)
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a plane rises from take - off and flies at an angle of 9° with the hori…
3196
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level 8 1 / 8 skills we want to find their intersection points. 1) one …
$(0,1)$
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question one of the legs of a right triangle measures 5 cm and its hypo…
$12$ cm
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the hypotenuse of a right triangle measures 10 cm and one of its legs m…
6 cm
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one of the legs of a right triangle measures 3 cm and its hypotenuse me…
$15.7$ cm
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determine whether quadrilateral abcd with vertices a(-4, -5), b(-3, 0),…
The slope of AB is 5. The slope of DC is $-\frac{1}{5}$. The slope of BC is $\frac{2}{3}$. The slope of AD is $\frac{2}{3}$. The quadrilateral is a trapezoid because only one pair…
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for the right - triangle shown in the figure below, what are each of th…
(a) 1 m (b) 2.40 (c) 0.923 (d) 0.417
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isosceles △abc (ac = bc) has base angles of 30° and cd is the median to…
\(\frac{20\sqrt{3}}{3}\), \(\frac{20\sqrt{3}}{3}\)
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aire du triangle. quelle est (3x) cm (8x + 2) cm b·h / 2 (8x + 2)3x / 2
$12x^{2}+3x$ cm²
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a 45 - foot ladder is set against the side of a house so that it reache…
$20.6$ feet
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19.b solve the following problems. given: △abc, m∠c = 90°, m∠abc = 30°,…
9 m
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what is true about triangle lmn? check all that apply. lm ⊥ mn. the tri…
$\overline{LM}\perp\overline{MN}$, The triangle is isosceles, The triangle is a right triangle.
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in △abc, m∠cab = 60°, $overline{ad}$ is the angle bisector of ∠bac with…
4
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question you start driving east for 5 miles, turn left, and drive north…
$13.0$ miles
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a tower that is 127 feet tall casts a shadow 157 feet long. find the an…
$39$
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to find the distance across a lake, a surveyor took the measurements in…
504
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if you place a 23 - foot ladder against the top of a building and the b…
$20.2$ feet
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if you place a 24 - foot ladder against the top of a 20 - foot building…
$13.3$
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activity: indicate the domain of the given function by marking the appr…
For $f(x)=x+\frac{1}{x}$, the domain is $(-\infty,0)\cup(0,\infty)$. Mark the number - line with an open circle at $x = 0$ and shade the regions to the left and right of $x = 0$. …
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given: quadrilateral abcd is a kite. prove: △aed≅△ced. it is given that…
The blanks should be filled as follows: 1. a kite (already filled conceptually in the reasoning for \(AD\cong CD\)) 2. perpendicular 3. reflexive 4. HL
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given: isosceles trapezoid efgh prove: △fhe ≅ △geh it is given that tra…
1. Non - parallel sides of an isosceles trapezoid 2. ∠FEH 3. ∠GHE 4. Reflexive 5. SAS
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Question was provided via image upload.
82
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a plot of land has been surveyed for a new housing development with bor…
The measure of angle \(ABC\) is \(90^{\circ}\), the length of \(DC\) is \(25\) feet.
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solve the inequality and graph the solution on the line provided. - 5 -…
Inequality Notation: $x\geq4$ Number Line: Plot a closed - circle at 4 and draw a line to the right.
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charlene puts together two isosceles triangles so that they share a bas…
21 inches
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use the diagram to find the missing measures. the measure of angle ghe …
The measure of angle GHE is $62^{\circ}$. The length of $\overline{GE}$ is $30$.
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consider kite wxyz. what are the values of a and b? o a = 4; b = 10 o a…
\(a = 8;b = 40\)
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consider trapezoid lmno. what information would verify that lmno is an …
$\overline{LN}\cong\overline{MO}$, $\overline{LO}\cong\overline{MN}$, $\angle L\cong\angle M$
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what is the length of the sides of kite abcd? o ab = 20; cd = 15 o ab =…
AB = 15; CD = 20
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use a calculator to find the value of the acute angle, θ, to the neares…
$67$
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which statements are correct regarding the properties of trapezoids? ch…
The diagonals of an isosceles trapezoid are congruent. The bases of a trapezoid are parallel.
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sort the property that characterizes either a trapezoid or a kite. can …
Trapezoid: can have congruent diagonals, has one pair of opposite, parallel sides Kite: has congruent adjacent sides, has perpendicular diagonals
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kara is building a sandbox shaped like a kite for her nephew. the top t…
36
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analyze the diagram. which quadrilateral is a kite?
The quadrilateral \(ABCD\) is a kite.
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find a cofunction with the same value as the given expression. csc 26°.…
C. $\csc26^{\circ}=\sec64^{\circ}$
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find a cofunction with the same value as the given expression. sin 39° …
A. $\sin39^{\circ}=\cos51^{\circ}$
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use the pythagorean identity sin²θ + cos²θ = 1 to find cosθ. the angle …
$\frac{\sqrt{6}}{3}$
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the angle θ is an acute angle and sin θ = 5/6. use the pythagorean iden…
$\frac{\sqrt{11}}{6}$
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what is the slope of the graphed line? you may use the two plotted poin…
$-1$
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which describes the slope of the given line? negative positive undefine…
Undefined
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use the formula $m = \\frac{y_2 - y_1}{x_2 - x_1}$ to calculate the slo…
$2$
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what is the coordinate of the point? (-5,2) (-2,5) (5,-2) (7,0)
(-2, 5)
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city planners want to design a park between parallel streets, main stre…
What is the angle between Main Street and the west path? 60° What is the angle between the west path and Willow Lane? 120°
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2. calculate the area of the parallelogram 32 yd 14 yd
448 square - yards
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find the value of x in each figure: (1) (2) (3)
(1) $x=\frac{121}{7}$ (2) $x=\frac{10\sqrt{3}}{3}$ (3) $x = 3.6$
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which row of pascals triangle would you use to expand (2x + 10y)^15? ro…
Which row of Pascal's triangle would you use to expand \((2x + 10y)^{15}\)? Row 16 What is the first term in this expansion? \(2^{15}x^{15}\) How many terms are in this expansion?…
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which row of pascals triangle would you use to expand (2x + 10y)^15? ro…
Row 15; 16 terms
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which row of pascals triangle would you use to expand (2x + 10y)^15? ro…
C. row 15
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shown below is a blueprint for a rectangular kennel at a pet hotel. wha…
74
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analyze the diagrams. which quadrilateral is a trapezoid?
The second quadrilateral MNOP is a trapezoid.
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round each measurement to the nearest ten. then estimate the area of th…
4,000 square inches
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the movement of the progress bar may be uneven because questions can be…
74
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5. in rhombus abcd, which of the following conditions, when added, mean…
5. B. \(\overline{AB}\perp\overline{BC}\) 6. D. Diagonals of parallelograms bisect each other. 7. 50
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5. in rhombus abcd, which of the following conditions, when added, mean…
1. B 2. D 3. 50
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given abcd is a rectangle. prove abcd has congruent diagonals. identify…
6. Opposite sides of a parallelogram are congruent 8. SAS 9. CPCTC
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question 10 of 10 in the diagram below, (overline{bd}) is parallel to (…
A. 65
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question 9 of 10 in the diagram below, (overline{de}) is parallel to (o…
B. 110
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question 8 of 10 in the diagram below, $overline{ab}$ is parallel to $o…
D. 45
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question 7 of 10 in the diagram below, (overline{de}) is parallel to (o…
C. 105
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question 6 of 10 which of the following is a true statement about skew …
B. Skew lines do not lie in the same plane.
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isosceles triangle lmn is graphed with vertices l(0, 1), m(3, 5), and n…
0
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as shown in the figure, quadrilateral abcd is a square. extend ab until…
B. \(22.5^{\circ}\)
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question 5 of 10 in the diagram below, (overline{bd}) is parallel to (o…
D. 125
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1. as shown in the figure, in square abcd, e is on ac. if ab = ae, then…
C. \(22.5^{\circ}\)
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analyzing sides and diagonals of a parallelogram claire is designing a …
It is not a square because the angles at the vertices are not right angles.
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slope of a line assignment active graphing a line to show slope a line …
$(-3,-6),(-3,2)$
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given abcd is a square. prove: ac ⊥ bd. we are given that abcd is a squ…
We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side AB is congruent to side AD because sides of a square are congruent. We know that…
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for rhombus lmno, m∠lon = 102° and np = 5 units. use the diagram of rho…
The measure of $\angle LPM$ is $90^{\circ}$. The measure of $\angle PMN$ is $51^{\circ}$. The length of $LN$ is $10$ units.
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select the correct answer. what is the value of x in the triangle? a. 1…
C. 12
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solve the right triangle using the given information. a = 75.8 yd, b = …
$c = 87.1$ yd $A = 60^{\circ}30'$ $B = 29^{\circ}30'$
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which three pairs of side lengths are possible measurements for the tri…
$AB = 9\sqrt{2}, AC = 18$ $BC = 10, AC = 10\sqrt{2}$ $AB = 14, BC = 14$
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lacy is making a new sail for her boat. the sail needs to have the give…
A. 70.1 square feet
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drag the tiles to the correct boxes to complete the pairs. not all tile…
$\sin(66^{\circ})$ matches $\cos(24^{\circ})$; $\cos(76^{\circ})$ matches $\sin(14^{\circ})$; $\cos(49^{\circ})$ matches $\sin(41^{\circ})$; $\sin(53^{\circ})$ matches $\cos(37^{\…
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solve the right triangle. a = (round to four decimal places as needed.)…
$A = 45.9102^{\circ}$ $a\approx60.494$ cm $c\approx84.247$ cm
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select the correct answer. an online retailer is shipping a shower curt…
C. Yes, because the longest diagonal of the box is 15.7 feet long.
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part b calculate the volume of a rectangular prism with a length of 4.4…
$85.932$
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what is the area of a rectangle that is 3.1 cm wide and 4.4 cm long? en…
14
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solve the right triangle. a = □° (round to four decimal places as neede…
$A = 51.9102^{\circ}$ $a = 70.711$ cm $c = 90.483$ cm
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given: △acz and △cbz are right triangles. prove: $\frac{sin(a)}{a}=\fra…
A. $\frac{\sin(A)}{a}=\frac{\sin(B)}{b}$; corresponding sides are proportional in similar triangles
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what is the value of x in the triangle? 7\\sqrt{3} 30° 60° a. 21 b. 10 …
A. 21
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part a what is the area of a rectangle that is 3.1 cm wide and 4.4 cm l…
$13.64$ $cm^{2}$
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select the correct answer from each drop - down menu. use the figure to…
$\sin(F)=\frac{3}{5}$, $\cos(F)=\frac{4}{5}$, $\sin(G)=\frac{4}{5}$, $\cos(G)=\frac{3}{5}$
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a cruise ship leaves its port at a heading of 135°. it travels for 400 …
B. 603.3 miles
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consider triangle xyz. what is the approximate length of side yz? a. 15…
A. 15.7 units
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in △lmn, ∠n is a right - angle, lm = 76 units, and mn = 40 units. what …
C. $28^{\circ}$
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select the correct answer. rounded to the nearest tenth, what is the pe…
B. 13.7 inches
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select the correct answer. a triangular tabletop has the given dimensio…
A. 10.2 ft
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shane is standing at the base of a truck - mounted stairway to board an…
D. $46.24^{\circ}$
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which characteristic guarantees that a parallelogram is a rectangle? al…
The diagonals are congruent.
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type the correct answer in the box. a printer creates a right - triangu…
\(2\sqrt{2}a\)
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what value of x will make parallelogram abcd a rhombus? x = (3x - 12)°
\(x = 34\)
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solving for side lengths of rectangles abcd is a rectangle. use the dia…
The length of \(AB\) is 12 The length of \(BC\) is 5 The length of \(AC\) is 13
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what value of m would make parallelogram wxyz a square? 2 3 4 5 2m + 4 …
A. 2
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what is the area, in square centimeters, of the triangle shown? a 45° 2…
D. 144
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select all the correct answers. which three pairs of side - lengths are…
HI = 7, GI = 14 GH = 8\sqrt{3}, GI = 16
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solve the right triangle. b = ☐° ☐ (round to the nearest integer as nee…
$B = 56^{\circ}26'$ $a = 532$ m $b = 802$ m