幾何
三角形、円、座標幾何、証明問題。
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find the area of the triangle. $a = \\square\\text{ in}^2$
54 in²
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find the area of a circle with a circumference of 31.4 units. □ units² …
78.5 units$^2$
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4. find the area of each triangle. explain or show your reasoning. a. b…
s: a. $\boldsymbol{8}$ (units²) b. $\boldsymbol{6}$ (units²) 5. The area can be found by decomposing the shape into rectangles (e.g., bottom: $65 \times 10$, middle: $35 \times 10…
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in exercises 5–7, find the values of x and y. write your answers in sim…
Exercise 5: $x=15\sqrt{3}$, $y=30$ Exercise 6: $x=11\sqrt{3}$, $y=11$ Exercise 7: $x=3\sqrt{3}$, $y=6\sqrt{3}$
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$\\overline{tu} \\parallel \\overline{vx}$. find $tw$. (image of a tria…
\( 45 \)
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find the area of a circle with a diameter of 6. either enter an exact a…
Exact answer: $9\pi$ units$^2$ Decimal approximation: $28.26$ units$^2$
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41) write an equation for the area, a, of the triangle shown. a = \\fra…
$30$ $\text{m}^2$
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find vw. vw = submit work it out not feeling ready yet? these can he
\( 17 \)
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write an equation for the area, a, of the triangle shown.
$A = \frac{1}{2} \times 10 \times 6$ (or simplified as $A=30$, but the required equation is $\boldsymbol{A = \frac{1}{2} \times 10 \times 6}$)
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1. what is the actual length of the truck? 1cm = 1.7ft
$11.9$ feet
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use the law of sines to find the value of side length c. round to the n…
9.7 inches
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find the area of a circle with a radius of 8. either enter an exact ans…
Exact answer: $64\pi$ units$^2$ Decimal answer: $200.96$ units$^2$
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10. you are given the following points on a coordinate plane: x(-3, 3.3…
a. 8.5 units b. 7.5 units
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using the law of sines, which ratio can help you correctly find the val…
$\frac{\sin A}{10} = \frac{\sin 85^\circ}{15}$ (the first option)
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the graph shows the four quadrants of the coordinate plane. point ( a )…
Point A has an x-coordinate that is zero and a y-coordinate that is negative, so the point is located on axis.
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use the law of sines to solve the following problem. if $\\angle c = 28…
15 m
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geo b - 9.2 pythagorean theorem and special cases -lab worksheet in exe…
1. $\boldsymbol{10\sqrt{2}}$ 2. $\boldsymbol{1}$ 3. $\boldsymbol{8}$ 4. $\boldsymbol{6\sqrt{2}}$
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point es x- and y-coordinates have different signs (one is positive and…
Point E could be located in Quadrant II or Quadrant IV.
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use the law of sines to find the length of side c, to the nearest milli…
405 mm
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2. find the area of each triangle. explain or show your reasoning. a. b.
12 ### Part b
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find vx. write your answer as an integer or as a decimal rounded to the…
4.2
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find ce. triangle image with right angle at c, hypotenuse de = 9, angle…
\(3.9\)
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find the area of a circle with a circumference of 12.56 units. units² s…
12.56 units²
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find uv. triangle image: right-angled at w, angle at v is 50°, side wu …
7.8
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find the value of x. x = submit
$8$
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the graph shows the four quadrants of the coordinate plane. point a is …
Point A has an x-coordinate that is negative and a y-coordinate that is positive, so the point is located in Quadrant II.
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the graph shows the four quadrants of the coordinate plane. where is $(…
Quadrant II
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find hj. write your answer as an integer or as a decimal rounded to the…
$3.4$
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find the area of the shape. either enter an exact answer in terms of \\…
Exact answer: $27\pi$ Decimal answer: $84.78$
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find hj. triangle image with right angle at i, angle at j is 49°, side …
9.3
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point es x-coordinate is 0, but its y-coordinate is not 0. where could …
Point E is located on the y-axis (either the positive y-axis segment above the origin or the negative y-axis segment below the origin, not in any quadrant).
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find wx. write your answer as an integer or as a decimal rounded to the…
5.0
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find st. write your answer as an integer or as a decimal rounded to the…
$6.7$
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find cd. write your answer as an integer or as a decimal rounded to the…
$5.0$
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point a is located at (-9, -8). complete the statement. point a has an …
Point A has an x-coordinate that is negative and a y-coordinate that is negative, so the point is located in quadrant III
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the graph shows the four quadrants of the coordinate plane. where is $(…
Quadrant III
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7) what is the difference between a slope of 0 and a slope that is unde…
A slope of 0 occurs when the change in y - values ($\Delta y=y_2 - y_1$) is 0 (the line is horizontal, e.g., $y = c$ where $c$ is a constant). An undefined slope occurs when the c…
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select the correct answer from each drop - down menu. polygon mnopq is …
$\overline{N'O'}$ does not pass through point $M$. The slopes of $\overline{N'O'}$ and $\overline{NO}$ are the same.
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find the area of the semicircle. either enter an exact answer in terms …
Exact answer: $2\pi$ units$^2$ Decimal answer: $6.28$ units$^2$
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find the value of x. a d b are on a straight line, e d f are on a strai…
$x = 11$
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x is an acute angle. find the value of x in degrees. \\(\\sin(x) = 0.9\…
$64.16$
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point e has an x-coordinate that is not 0, and its y-coordinate is nega…
Point E could be located in Quadrant III or Quadrant IV.
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x is an acute angle. find the value of x in degrees.\\sin(x) = 0.1\\wri…
$5.74$
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find the value of x. x = submit
$25$
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find the value of x. s (10x)° v (5x)° t u x =
$x = 6$
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for questions 10-15, find the area of each composite figure. 10. 11. 12.
10. 15 11. 24 12. 24
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look at the diagram. which equation can be used to solve for x? $4(2x)=…
1. Correct equation: $4(x + 2) = 144$ 2. $x = 34$
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find the area of the shape. either enter an exact answer in terms of \\…
Exact answer: $3\pi$ units$^2$ Decimal answer: $9.42$ units$^2$
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x is an acute angle. find the value of x in degrees. \\(\\sin(x) = \\fr…
$45$
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the graph shows the four quadrants of the coordinate plane. point a is …
Point A has an \(x\) - coordinate that is negative and a \(y\) - coordinate that is zero, so the point is located on axis.
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x is an acute angle. find the value of x in degrees. \\(\\cos(x) = \\fr…
$30$
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look at the diagram. which equation can be used to solve for ( x )? ( 2…
### For the equation question: $3x + 6 = 90$ ### For the value of $x$: $x = 28$
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x is an acute angle. find the value of x in degrees. \\(\\tan(x) = \\fr…
$30$
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19. if x=3 yes or no 4x+2 5x+2 6x-1 x+11 20. if y=10 (5y+10)° 12y° (10y…
Yes ### Problem 20: Check if the figure is a parallelogram when \( y = 10 \)
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the graph shows the four quadrants of the coordinate plane. where is $(…
Quadrant II
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look at the diagram which equation can be used to solve for x? $12x + 4…
1. The correct equation is $12x + 42 = 90$ 2. $x = 4$
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applying the 45°-45°-90° triangle theorem a 12-foot ladder is leaning a…
The triangle is isosceles. The leg-to-hypotenuse ratio is $1:\sqrt{2}$ The nonright angles are congruent. The ladder represents the longest length in the triangle.
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given: $overline{tu} parallel overline{xw}$ prove: $xw = 8$ (image of a…
D. Statement: $\frac{XW}{UT} = \frac{VW}{UV}$ Reason: Corresponding sides of similar triangles are proportional.
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worksheet 1 what is the lateral surface area of the cylinder? round to …
Let's solve each problem step by step using the formulas for the lateral surface area (\(LSA = 2\pi rh\)) and total surface area (\(TSA = 2\pi r^2 + 2\pi rh\)) of a cylinder, wher…
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on a math test, the students are asked to find the perimeter of rectang…
No, Alberto is not correct. The actual perimeter of rectangle STUV is 42 units, not 18 units.
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angle acd is supplementary to angles ace and bcd and congruent to angle…
B. Angle BCE is supplementary to angle ACE, C. Angle BCD is supplementary to angle BCE, E. Angle BCD is congruent to angle ACE
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determine whether each quadrilateral is a parallelogram. yes or no. 13.…
Yes ### Problem 14
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find the area of the semicircle. either enter an exact answer in terms …
Exact answer: $98\pi$ units$^2$ Decimal approximation: $307.72$ units$^2$
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look at the diagram. which equation can be used to solve for x? $11x + …
### For the equation question: 11x = 90 ### For solving x: $x=\frac{90}{11}\approx8.18$
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applying the 45°-45°-90° triangle theorem a 12 - foot ladder is leaning…
The triangle is isosceles The leg-to-hypotenuse ratio is $1 : \sqrt{2}$ The nonright angles are congruent The ladder represents the longest length in the triangle
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parallel lines m and n are intersected by parallel lines p and q. if ( …
$55$
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7.3.ps-16 writing what is the length of the rectangular plot of land sh…
\( \boxed{108} \)
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look at the diagram. which equation can be used to solve for x? $5x + 3…
### Correct equation: $5x + 110 = 180$ ### Value of x: $x = 14$
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x is an acute angle. find the value of x in degrees. \\(\\cos(x) = \\fr…
$45$
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fill in the blank. if the graph of an equation is symmetric with respec…
$4$
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find the area of the triangle.\ b = 22 in.\ h = 4\\frac{1}{2} in.
El área del triángulo es \( 49.5 \) pulgadas cuadradas (o \( \frac{99}{2} \) in², o \( 49\frac{1}{2} \) in²).
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sin(x) = \\frac{1}{2} x = \\square^\\circ submit
$30$
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parallel lines m and n are intersected by line p. given ( mangle8 = 65^…
\( m\angle6 = \boxed{65} \) \( m\angle1 = \boxed{115} \) \( m\angle2 = \boxed{65} \)
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7.3.ps-15 metalworking a machine in a factory cuts out four triangular …
A. Triangle 1, D. Triangle 4
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name _________________________ # ______ date _______________ go math 8.…
1. Six equal parts, sixths 2. Four equal parts, fourths 3. Eight equal parts, eighths 4. Three equal parts, thirds 5. equal parts 6. equal parts 7. equal parts 8. equal parts 9. e…
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find the area of the semicircle. either enter an exact answer in terms …
Exact answer: $\frac{9}{2}\pi$ units$^2$ Decimal answer: $14.13$ units$^2$
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7.3.ps - 7 you are going to use an incline plane to lift a heavy object…
13.9
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triangle abc is a right triangle. what is the relationship between angl…
They are complementary.
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the graph of an equation is given. (a) find the intercepts. (b) indicat…
# Explanation: ## Step1: Identify x-intercepts The graph crosses the x-axis at $(-\pi, 0)$, $(0, 0)$, and $(\pi, 0)$. ## Step2: Identify y-intercept The graph crosses the y-axis a…
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angle b measures 60°. what is the measure of the angle that is compleme…
A. \(30^\circ\)
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7.1.ps - 17 find the length of the unknown leg of the right triangle. u…
15
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right angle fcd intersects \\(\\overleftrightarrow{ab}\\) and \\(\\over…
They are congruent and complementary.
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drag each label to the correct location on the table. each label can be…
Square PQRS: 4 lines of reflection Regular Hexagon ABCDEF: 6 lines of reflection Isosceles Trapezoid JKLM: 1 line of reflection Equilateral Triangle FGH: 3 lines of reflection
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find the area of the semicircle. either enter an exact answer in terms …
Exact answer: $18\pi$ units$^2$ Decimal approximation: $56.52$ units$^2$
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7.1.ps - 12 what is the length of the unknown leg of the right triangle…
\(1.7\)
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name: teks 5.4h problems with area starr math blitz 5th grade ⑤ edgar b…
5. 160 square feet 6. J. 35 square meters 7. A. 864 square inches 8. G. 360 square inches
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7.1.ps-11 use the pythagorean theorem to find the unknown side of the r…
25
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the sum of the interior angle measures of a triangle must be 180°. so, …
- \( m\angle2=\boldsymbol{102}^\circ \) - \( m\angle2 \) is equal to \( m\angle3 + m\angle4 \) - The measure of an exterior angle of a triangle is equal to the sum of the measures…
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solve the inequality for x and identify the graph of its solution. 3|x …
A. Solution: $x > -3$ and $x < 1$
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in the figure below, suppose ( mangle1 = 78^circ ) and ( mangle3 = 36^c…
The first blank: \(180\), the second blank: \(180\), the third blank: \(102\) (If we consider the blanks in order: 1. The sum of the interior angle measures of a triangle must be …
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a solid sphere is cut into 3 equal wedges. the volume of each wedge is …
D. $r = \sqrt[3]{\frac{9V}{4\pi}}$
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find the area of the shape. either enter an exact answer in terms of π …
Exact answer: $\pi$ Decimal answer: $3.14$
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establishing facts about the interior and exterior angles of a triangle…
The sum of the interior angle measures of a triangle must be \( \boldsymbol{180}^\circ \). So, \( m\angle2 + m\angle3 + m\angle4=\boldsymbol{180}^\circ \). \( m\angle3 + m\angle4 …
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2. create an image by applying a dilation with point c as the center of…
1. For scale factor 2 (Problem 2): A larger triangle, with all vertices twice as far from point $C$ as the original triangle's vertices, oriented the same way as the original tria…
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in the figure below, suppose ( mangle 3 = 118^circ ) and ( mangle 4 = 3…
s (filling the blanks): 1. The sum of the interior angle measures of a triangle must be \(\boldsymbol{180}\)°. 2. So, \(m\angle 2 + m\angle 3 + m\angle 4 = \boldsymbol{180}\)°. 3.…
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which pair of angles are vertical angles? ○ $\\angle wru$ and $\\angle …
\( \boldsymbol{\angle WRS} \) and \( \boldsymbol{\angle VRT} \) (the option corresponding to \( \angle WRS \) and \( \angle VRT \))
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which angle is a vertical angle with ∠efd? ○ ∠dfb ○ ∠ced ○ ∠bfc ○ ∠afb
D. $\angle AFB$
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given: ( mangle ade = 60^circ ) and ( mangle cdf = (3x + 15)^circ ) pro…
Statement: \( 60 = 3x + 15 \); Reason: substitution (the first option)
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scale drawings and maps solve, using a proportion. 1. if 4 inches repre…
2 inches ### Problem 2
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use a trigonometric ratio to solve for c. round to two decimal places a…
\(3.83\)