幾何
三角形、円、座標幾何、証明問題。
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the formula $v = \\frac{4}{3}\\pi r^{3}$ gives the volume $v$ of a sphe…
B. $288\pi$
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where is the center of dilation located? on a vertex of figure lmno wha…
The center of dilation is on a vertex of figure \(LMNO\). The scale factor of the dilation is \(\frac{1}{2}\).
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no additional details were added for this assignment. explain how to ge…
$\pi$ is defined as the ratio of the circumference of a circle to its diameter. The formula for the circumference of a circle is $C=\pi d$. The relationship between the length of …
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where is the center of dilation located? inside figure lmno outside fig…
outside figure \(LMNO\)
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original scaled copy 5? 3 6 4 8 what number can you multiply each origi…
10
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find the missing side length, in units, in the scaled copy. original sc…
30
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graph the inequality below on the number line. b > -4
On the number line, place an open - circle at $-4$ and shade the region to the right of $-4$.
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what is the slope of this line? (-9, 0) (9, -12) simplify your answer a…
$-\frac{2}{3}$
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1. ∠2≅∠3 2. m∠2 = m∠3 3. ∠1 and ∠2 form a linear - pair 4. ∠1 and ∠2 ar…
The proof is completed as shown above, demonstrating that if $\angle2\cong\angle3$ and $\angle1$ and $\angle2$ form a linear - pair, then $\angle1$ and $\angle3$ are supplementary.
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what is the slope of this line? simplify your answer and write it as a …
$\frac{1}{5}$
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what is true about the angles in the original figure and the scaled cop…
the same
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triangles abc and def are congruent, where a corresponds to d, and b an…
\(72^{\circ}\)
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which figure has the same shape as figure a? figure b figure c figure d…
figure E
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what is an angle that is supplementary to ∠dea?
∠DEB
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what is an angle that is adjacent to ∠hce?
∠HCF
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the tower of pisa, in italy, began tilting during its construction in t…
D. \(4 + x = 90\)
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what is an angle that is adjacent to ∠hce?
∠HCF
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what statement could you write in a proof for m∠adc using the angle add…
B. $m\angle ADB + m\angle BDC=m\angle ADC$
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which angle is adjacent to ∠cda?
∠BDA
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which quadrant has points with negative x - coordinates and positive y …
B. Quadrant II
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when we divide a circle into sectors and arrange them in the shape of a…
Half the circumference of the circle
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consider the figure shown. classify each of the following statements as…
- $m\angle1 + m\angle4 = 180$: Always true - $\angle2\cong\angle3$: Always true - $\angle2\cong\angle4$: Sometimes true - $m\angle2 + m\angle4=180$: Sometimes true - $m\angle1 + m…
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write a two - column proof of the linear pairs theorem. if ∠abc and ∠cb…
| Statements | Reasons | |--|--| | 1. ∠ABC and ∠CBD are a linear pair | Given | | 2. m∠ABC + m∠CBD = 180° | Definition of a linear pair | | 3. ∠ABC and ∠CBD are supplementary | De…
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write a two - column proof of the linear pairs theorem. if ∠abc and ∠cb…
| Statements | Reasons | |--|--| | 1) ∠ABC and ∠CBD are a linear pair | Given | | 2) m∠ABC + m∠CBD=m∠ABD | Angle Addition Postulate | | 3) m∠ABD = 180 | Definition of straight ang…
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suppose we have a circle with a diameter of 7 units. after measuring, w…
Base value: 10.54 units (corresponds to half of the circumference); Height value: 3.5 units (corresponds to the radius); Area of the circle (equal to area of the "parallelogram"):…
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the circumference of the third circle is 20 cm, and point j is the cent…
Radius: approximately $3.18$ cm, Diameter: approximately $6.37$ cm
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if the area of circle d is 49π square cm, which option will solve for t…
$r=\sqrt{\frac{49\pi}{\pi}}$ (corresponding to the correct option among the ones you provided where the intended area value is used in the formula for radius calculation from the …
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in which quadrant is (-3, -4) located? quadrant i quadrant ii quadrant …
C. Quadrant III
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fill in the missing reasons for the proof of the theorem that all right…
1. Definition of right angles 2. Substitution Property of Equality 3. Definition of congruent angles
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fill in the missing reasons for the proof of the theorem that all right…
The reason for statement (2) is "Angles with equal measures are congruent."
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when measuring the circumference and diameter of several circles, which…
The ratio of the circumference to the diameter is the same for all circles.
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suppose we have a circle with a diameter of 14 units. after measuring, …
To find the relationship between these two parts of the circle, we divide the **circumference** by the **diameter**. The result indicates that the circumference is approximately *…
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complete the informal argument for the formula for the circumference of…
If we divide the circumference by the diameter, the result will be approximately equal to $\pi$ for all circles. So the blanks should be filled as: divide, circumference, diameter…
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other than itself, which angle is congruent to ∠fga?
$\angle BGE$
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in the following diagram, $overline{fg}paralleloverline{bc}parallelover…
B. Only statement II
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an octagon has exactly eight angles. which of these figures has exactly…
regular octagon
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a triangle does not have a diagonal. which of these figures does not ha…
obtuse triangle
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does a right triangle have all of the attributes of a triangle? right t…
yes
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the diameter or the circumference of each circle. you can use 3.14 as a…
| |Diameter (in)|Circumference (in)| |--|--|--| |Circle A|3.18|10| |Circle B|7|21.98| |Circle C|6|18.84|
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find the diameter of circle a. you can use your zearn calculator to hel…
$3.18$
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all parallelograms have two sets of congruent sides. is this true of qu…
sometimes
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all rectangles have four right angles. is this true of a parallelogram?…
B. sometimes
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the table below shows the diameter and circumference of 3 different cir…
3.14 3.14 3.14
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angle 5 and angle 8 are.... add up to 360 degrees congruent add up to 1…
Congruent
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15 mark for review square a has side lengths that are 166 times the sid…
$27556$
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is a trapezoid a parallelogram?
never
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the radius of a second circle is 7.2 inches. point b is the center of t…
14.4 inches
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is a rhombus a rectangle? always sometimes never
sometimes
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angle 5 and angle 8 are... add up to 360 degrees congruent add up to 18…
Congruent
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find the missing measurement of each circle. what is the length of the …
$6.3$ in
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is a rectangle a quadrilateral? always sometimes never
always
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angle 2 and angle 7 are.... consecutive interior angles alternate inter…
Alternate Exterior Angles
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17.a solve the following problems. given: △abc, m∠a = 60°, m∠c = 45°, a…
$P_{ABC}=\frac{27 + 9\sqrt{6}+9\sqrt{3}}{2}$, $A_{ABC}=\frac{81(3+\sqrt{3})}{8}$
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is a square a trapezoid? quadrilateral parallelogram trapezoid rectangl…
never
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angle 5 and angle 4 are.... alternate exterior angles corresponding ang…
C. Alternate Interior Angles
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angle 4 and angle 1 are.... add up to 90 degrees add up to 360 degrees …
Congruent
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angle 1 is 110 degrees what is the measurement of angle 2 90 110 70 180
70
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angle 4 and angle 2 are.... add up to 360 degrees add up to 180 degrees…
Congruent
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are these parallel lines? no yes
Yes
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angle 3 and angle 7 are.... consecutive interior angles corresponding a…
B. Corresponding Angles
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angle 3 and angle 6 are.... congruent add up to 180 degrees add up to 3…
Congruent
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what is the least value for an integer, x, for which x, x + 5, and 2x -…
\(11\)
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| more on inequalities in triangles. theorems. < 2 > it is possible tha…
It is not possible.
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which of the following expressions is equal to the height, h, of this t…
B. $25(\cos56^{\circ})$
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use a calculator to find the approximate value of the expression. round…
D. 0.84
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in right triangle abc, when angles a and b add up to 90 degrees, what i…
C. \(\sin A\)
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solve for x. round your answer to the nearest thousandth. a. 7.08 b. 23…
A. 7.08
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for the triangle above, find sin a. a. 0.724 b. 49° c. 50° d. 0.69 plea…
D. 0.69
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how far would you now have to sail? a. 0.68 miles b. 0.43 miles c. 0.25…
b. 0.43 miles
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students are painting flags of many countries on walls at their school.…
$36$ square feet
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what is the area of the side panel? 2 ft 6 ft
6
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find the area of the triangle. a = □ in²
$54$
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solve the following right triangle. determine all the missing sides and…
$\overline{BC}\approx4.8$ cm, $\overline{AC}\approx3.6$ cm, $\angle B = 37^{\circ}$
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use a calculator to find the approximate value of the expression. round…
B. 0.86
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write an equation for the area, a, of the triangle shown. a = 1/2·10·6.…
$30$ m²
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a water slide is a straight ramp 25 m long that starts from the top of …
D. 21 m
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question 5 (2 points) (02 08) derive the equation of the parabola with …
D. $f(x)=\frac{1}{16}x^{2}-\frac{1}{2}x - 10$
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determine the height of the triangle. round to the nearest foot. a. 12 …
b. 14 ft
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question 4 (2 points) (02.08) derive the equation of the parabola with …
D. $f(x)=-(x - 2)^2-\frac{3}{4}$
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use a calculator to find the approximate value of the expression. round…
D. 0.62
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question 3 (2 points) (02.08) derive the equation of the parabola with …
C. $f(x)=-\frac{1}{24}(x + 5)^2+1$
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for the triangle above, find sin b. a. 25° b. 0.385 c. 0.923 d. 18°
b. $0.385$
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write an equation for the area, a, of the triangle shown.
$A=\frac{1}{2}\times6\times8$
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question 2 (2 points) (02.08) derive the equation of the parabola with …
D. $f(x)=\frac{1}{12}(x + 5)^2+2$
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when solving for x, the sine of 33° is used. what other angle and trigo…
A. $\cos57^{\circ}$
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question 1 (2 points) (02 08) derive the equation of the parabola with …
B. $f(x)=\frac{1}{4}x^{2}$
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determine the height of each triangle. round to the nearest foot. a. 7 …
A. 7 ft
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when solving for x, the sine of 44° is used. what other angle and trigo…
B. $\cos46^{\circ}$
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which transformation would take figure a to figure b? answer a counterc…
A counter - clockwise rotation of $270^{\circ}$ about the origin
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18. two similar triangles have perimeters of 45 cm and 75 cm respective…
$\frac{3}{5}$
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directions. for each of the following items, circle the letter of the c…
21. C. sanctioned 22. D. cite 26. D. gibing...repartee 27. B. consonant...gibe
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use these three geometric figures for problems 9 to 12. (a) an equilate…
9. \(120^{\circ}\) 10. \(90^{\circ}\)
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what percentage of the shape is green? write your answer using a percen…
40%
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what percentage of the shape is purple? write your answer using a perce…
84%
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what percentage of the shape is pink? write your answer using a percent…
4%
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what percentage of the shape is orange? write your answer using a perce…
4%
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question 3 (multiple choice worth 4 points) (01.06r lc) angles bae and …
D. Vertical angles
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name the plane that is highlighted in the diagram below. answer attempt…
Plane RUO
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which angle is complementary to ∠2?
∠5
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use the figure to complete each part. (a) name the sides of ∠2. and (b)…
(a) $\overrightarrow{QS}$ and the other ray forming $\angle2$ (b) $\angle TQS$ and $\angle SQT$ (c) $Q$