几何
三角形、圆、解析几何与证明题。
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ad is a perpendicular bisector of bc. find ac. 4x + 6 2x + 12 ac = ?
18
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ad is a perpendicular bisector of bc. find ac. 10x - 5, 4x + 25, ac = ?
$\boldsymbol{55}$
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ad is a perpendicular bisector of bc. find ac. 6x - 3, 3x + 6, ac = ?
15
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a is equidistant to b and c. find bd. bd = ? b 11x + 9 d 4x + 30 c
42
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7 practice 7 (from unit 3, lesson 13) find the lengths of segments ad a…
\(AD = \frac{25}{12} \approx 2.1\) (or \(2.1\) when rounded to nearest tenth) and \(BD = 5\) Wait, but 25/12 is approximately 2.083, which is 2.1 when rounded to nearest tenth. An…
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6 practice 6 (from unit 4, lesson 3) what is the length of side ab? do …
\(2\sqrt{3}\)
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use the figure below to complete the sentence. ∠bgc and ∠fge are (selec…
vertical; 43
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find the area of the blue shaded region. 8 m area = ? m² 61° 8 m
To find the area of the blue shaded region, we need to calculate the area of the sector and subtract the area of the triangle. ### Step 1: Calculate the area of the sector The for…
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find the radius and the diameter to the nearest hundredth when c = π yd…
The radius is \( \boldsymbol{0.50} \) yard. The diameter is \( \boldsymbol{1.00} \) yard.
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find the area of the shaded region. 10 cm 70° 10 cm $a_{sector} = \\fra…
\( 14.10 \)
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the goal of a video game is to find hidden gems on a number line. a dia…
Point A
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the goal of a video game is to find hidden gems on a number line. a sap…
$1\frac{1}{2}$ (the option with $1\frac{1}{2}$)
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2. determine if each graph represents a function or not. a. b. c. d. e.…
Function ### Part (b) ## Step 1: Apply the Vertical Line Test Imagine a vertical line. For this graph, a vertical line (e.g., \( x = 2 \)) will intersect the graph at two points (…
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3 $y > 2x - 4$ $6x + 3y < 9$ (grid coordinate system) .a. $(0, 0)$ .b. …
For point a \((0,0)\), it satisfies both \( y > 2x - 4 \) and \( 6x + 3y < 9 \). For point b \((-3,-7)\), it also satisfies both inequalities algebraically. But if we consider the…
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the country in 1807 became the first emperor of independent brazil unsc…
PEACEFUL
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the center of dilation is at point ( , )
\((-8,0)\)
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16 if these two shapes are similar, what is the measure of the missing …
\(3\)
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across each of these questions. place one letter in each square. brazil…
FREEDOM
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<wck aa <ckw sas corresponding sides proportional reflexive property al…
- \( \angle DLK \cong \boldsymbol{\angle CKW} \) (Reason: Alternate Interior Angles) - \( \angle W \cong \angle W \) (Reason: Reflexive Property) - \( \triangle DLW \sim \triangle…
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rules congruence transformations non congruence transformation reflecti…
a. Translate left 6 units, then reflect over the y - axis ### Problem 2 (Asumiendo que la coordenada original de \( C \) es \( (-5, -2) \) del gráfico)
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proofreading practice as you read the following news item, circle the f…
1. visinity → vicinity 2. bisycle → bicycle 3. lisence → license 4. Sitizen → Citizen 5. (Assuming the misspelled word was for "properly") The misspelled word (e.g., pcpely) → pro…
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33. a. determine side a . b. determine ∠b . c. determine ∠c . 33.in a s…
a. $\approx76.7$ mm (depending on the correct interpretation of the problem's angle - side correspondence) b. $\approx37.60^\circ$ (if the given angle is $\angle B$) c. $\approx40…
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3. a) find the distance between point a and point c. b) find the distan…
a) \(4\sqrt{5}\) (or \(\approx8.94\)) b) \(2\sqrt{5}\) (or \(\approx4.47\))
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if the perimeter of the large triangle is 30, find y. 4x - 7 2x + 6 3x …
# Explanation: ## Step1: Identify Congruent Sides From the diagram, the two sides with markings (the leg and the hypotenuse segment) suggest the triangle is divided such that the …
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find the length of arc abc. use 3.14 for the value of π. 63 cm 240° ? c…
263.76
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homework 5.3 1. find the distance between the two points and simplify t…
\(2\sqrt{5}\)
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using cos: 28 32° x 42 57° x 12 8 x° using tan: x 61° 43 x 57° 48 17 x°…
- "Using Cos" (left): \(x\approx23.74\) - "Using Cos" (middle): \(x\approx77.12\) - "Using Cos" (right): \(x\approx48.19^{\circ}\) - "Using Tan" (left): \(x\approx77.57\) - "Using…
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find the value of m. m + 20° 100° a 80° b 60° c 120° d 140°
A. \( 80^\circ \)
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6 practice 6 (from unit 4, lesson 3) what is the length of side ab? do …
\( 2\sqrt{3} \) (Wait, no, wait, I think I made a mistake. Wait, \( \tan(30^\circ)=\frac{AB}{AC} \), \( AC = 6 \), \( \tan(30^\circ)=\frac{1}{\sqrt{3}} \), so \( AB = 6\times\frac…
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11 x = 2x + 14 18 9 30
14
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exit ticket seal the deal! △ abc has vertices a (1, -3), b (3, -2), and…
s: 1. \(A''(-1,3)\), \(B''(1,2)\), \(C''(-2,1)\) 2. \(A''(3,3)\), \(B''(2,5)\), \(C''(1,2)\)
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4.a.5 practice 5 practice 5 (from unit 4, lesson 4) 6 practice 6 (from …
\(2\sqrt{3}\)
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using sin: s-o-h (first right triangle: right angle at bottom left, ang…
First triangle: \( x \approx 16.5 \) (rounded), Second triangle: \( x \approx 32.3 \), Third triangle: \( x \approx 16.3^\circ \) (answers may vary slightly due to rounding)
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solving using trig ratios determining which ratio to use: 1. circle the…
\(x\approx16.48\)
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mvusd, math ii re-engagement, 26. a) find the coordinates of each verte…
6 ### Question 29:
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extra practice level up your skills! graph each figure with the given v…
The original points are $X(-4,3),Y(-2,1)$; after translation, $X'(-3,3),Y'(-1,1)$; after rotation, $X''(3,3),Y''(1,1)$. To graph, plot these points and draw the segments.
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question the triangle below is isosceles. find the length of side ( x )…
\( 15.6 \)
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8 triangle xyz is shown. image of triangle xyz with angle at x: 40°, an…
A. a triangle with two angles that measure \( 40^\circ \)
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5 practice 5 (from unit 4, lesson 4) estimate the values to complete th…
For angle \(C\): - adjacent leg \(\div\) hypotenuse: \(0.95\) - opposite leg \(\div\) hypotenuse: \(0.31\) - opposite leg \(\div\) adjacent leg: \(\approx0.33\) (or \(0.32\) if us…
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a line intersects the points (1, 7) and (2, 10). what is the slope of t…
\( 3 \)
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4 practice 4 (from unit 4, lesson 4) angle b is an acute angle in a rig…
D. 63 degrees
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given all segments that appear to be parallel are, what is the length o…
# Explanation: ## Step1: Identify the ratio of sides The small triangle has a side of length 4 and the total length from the bottom to the top of the small triangle's side is \(3\…
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3 practice 3 triangle abc has a right angle at c. select all measuremen…
D. Angle \( A \) measures \( 30^{\circ} \), and segment \( BC \) is 5 units long. E. Segment \( AC \) is 8 units long, and segment \( BC \) is 6 units long.
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2 practice 2 kiran is flying a kite. he gets tired, so he stakes the ki…
9
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31. a. determine side ( d ). b. determine ( angle e ). c. determine ( a…
s: a. \( d\approx\boldsymbol{6.44} \) inches (approximate) b. \( \angle E\approx\boldsymbol{33.3^\circ} \) (approximate) c. \( \angle F\approx\boldsymbol{39.7^\circ} \) (approxima…
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find the area of this triangle. 10 m 55° 12 m ? m² round your answer to…
49.15
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the line $y = x$ is transformed into the line $y = 4x + 9$. fill in the…
upward
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the line $y = x$ is transformed into the line $y = \\frac{x}{5} + 9$. f…
The slope is $\frac{1}{5}$, and the line is shifted flatter.
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the line $y = x$ is transformed into the line $y = 2x + 3$. fill in the…
upward
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use the venn diagram shown to answer the question below. which regions …
III, VI, VII, VIII
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use the venn diagram shown to answer the question below. which regions …
I, II, IV, V, VI, VII
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similarity 22. you are photocopying an 8.5\ x 11\ sheet of paper. a. yo…
The dimensions of the new image are \( 6.8'' \times 8.8'' \). ### 22b i Solution:
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find the area of this triangle. 9 cm 110° 15 cm ? cm² round your answer…
\( 63.44 \space\text{cm}^2 \)
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42. the width of a rectangle is 6 less than the length, and if the peri…
Assuming the perimeter is 40 (common in such problems), the length is 13, so B) 13.
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find the area of this triangle. 15 m 115° 11 m ? m² round your answer t…
\( 74.77 \)
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solve for x. x = ? law of cosines: c² = a² + b² - 2ab·cos(c) round your…
\( 83.09 \)
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solve for x. law of cosines: ( c^2 = a^2 + b^2 - 2ab cdot cos(c) ) roun…
\( 83.13 \)
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the graph of $y = f(x)$ is shown below. find all values of $x$ where $f…
\( x = -6 \)
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graph this line: $y + 3 = -\frac{5}{7}(x - 2)$
To graph the line \( y + 3=-\frac{5}{7}(x - 2) \): 1. Plot the point \( (2,-3) \) (from the point - slope form \( y - y_1=m(x - x_1) \) where \( x_1 = 2,y_1=-3 \)). 2. Use the slo…
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graph this line using th $y = -\frac{9}{5}x + 8$
To graph \(y =-\frac{9}{5}x + 8\), plot \((0,8)\) (y - intercept) and \((5,-1)\) (using slope \( -\frac{9}{5}\)), then draw a line through these points.
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solve for x. law of cosines: $c^2 = a^2 + b^2 - 2ab \\cdot \\cos(c)$ ro…
\( 31.67 \)
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graph the inequality in the coordinate plane. $x \\leq -2$
To graph \( x \leq -2 \): 1. Draw a vertical line at \( x = -2 \) (since \( x \) is constant, it's a vertical line). The line should be solid because the inequality is "less than …
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solve for x. x = law of cosines: c² = a² + b² - 2ab·cos(c) round your a…
\( 32.68 \)
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Question was provided via image upload.
Mathematics - Geometry
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graph this line using intercepts: 3x - 5y = -30 click to select points
To graph \( 3x - 5y=-30 \) using intercepts, plot \((-10,0)\) (x - intercept) and \((0,6)\) (y - intercept) and draw a line through them.
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solve for x. law of cosines: ( c^2 = a^2 + b^2 - 2ab cdot cos(c) ) roun…
\( 117.87 \)
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graph this line: $y - 5 = \\frac{1}{2}(x + 1)$
To graph the line \( y - 5=\frac{1}{2}(x + 1) \), plot the point \( (-1,5) \), then use the slope \( \frac{1}{2} \) to find other points (e.g., \( (1,6) \) by moving up 1 and righ…
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graph this line: $y + 5 = -\frac{3}{4}(x + 5)$ click to select points o…
To graph the line \( y + 5 = -\frac{3}{4}(x + 5) \), plot the point \( (-5,-5) \) (from the point - slope form) and use the slope \( -\frac{3}{4} \) to find additional points (e.g…
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which name can be used for the 20° angle? ∠evt how is ∠evt related to ∠…
- Both angles have a vertex at point \(V\). - Both angles share the side \(VE\).
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which name can be used for the 20° angle? ∠etv ∠evn ∠evt ∠nvt after ano…
\(\angle EVT\)
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graph the inequality. 4x - y < -3
To graph \(4x - y < -3\), follow these steps: ## Step 1: Rewrite the inequality in slope - intercept form (\(y=mx + b\)) Start with the given inequality \(4x-y<-3\). Subtract \(4x…
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a weathervane is pointing north. after the wind changes direction, the …
For the degree turn: 90 degrees. For the angle name: $\angle EVN$ (from the options, $\angle EVN$ is the correct alternative name for $\angle NVE$).
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a weathervane is pointing north. after the wind changes direction, the …
$90$ degrees
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given (overline{ab} parallel overline{de}) leads to (angle bac cong ang…
- For \( \angle BAC \cong \angle EDC \): Alternate Interior Angles Theorem - For \( \angle ACB \cong \angle DCE \): Vertical Angles Theorem - For \( \triangle ABC \cong \triangle …
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part b if db = 85 feet and ac = 28 feet, what is the combined area of t…
The combined area of the two triangles is \(\boxed{1190}\) square feet.
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the rectangle efgh is a dilation of the rectangle efgh. what is the sca…
\(\frac{1}{4}\)
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y ≤ -\\frac{2}{3}x - 2
To graph \( y \leq -\frac{2}{3}x - 2 \): 1. **Graph the line**: First, graph the boundary line \( y = -\frac{2}{3}x - 2 \). The slope is \( -\frac{2}{3} \) and the y - intercept i…
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graph the image of rectangle stuv after a dilation with a scale factor …
The dilated rectangle has vertices at \( S'(-2, 1) \), \( T'(2, 1) \), \( U'(2, 2) \), \( V'(-2, 2) \) (graph by plotting these points and connecting them).
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graph the inequality. y > -3x + 5
To graph \( y > -3x + 5 \): 1. **Graph the boundary line**: The equation \( y = -3x + 5 \) is in slope - intercept form (\( y=mx + b \)) where \( m=-3 \) (slope) and \( b = 5 \) (…
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34) find m∠dst. there is a triangle and an exterior angle. the exterior…
# Explanation: ## Step1: Recall Exterior Angle Theorem The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In triangle \(SUT\), \(\angl…
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if these two shapes are similar, what is the measure of the missing len…
12
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Question was provided via image upload.
(for problem 33): \( m\angle QDE = 119^\circ \)
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a right triangle has side lengths a, b, and c as shown below. use these…
$\sin x = \frac{c}{b}$, $\tan x = \frac{c}{a}$, $\cos x = \frac{a}{b}$
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quiz instructions practice test 4.1 is designed to prepare you for test…
The line is a vertical line with equation \( x = - 4 \), and it cannot be written in slope - intercept form (\( y=mx + b \)) because the slope is undefined. However, if we conside…
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if these two shapes are similar, what is the measure of the missing len…
24
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read the excerpt from paragraph 3 below. select two phrases that demons…
obscured by formless mists and vapors, beyond those bleak hills
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if these two shapes are similar, what is the measure of the missing len…
\( 1 \)
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if these two shapes are similar, what is the measure of the missing len…
12
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consider the figure shown. classify each of the following statements as…
- The statement \( m\angle1 + m\angle4 = 180 \) is always true. - The statement \( m\angle1 + m\angle2 + m\angle3 = 180 \) is never true. - The statement \( m\angle2 + m\angle4 = …
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this question has two parts. first, answer part a. then, answer part b.…
### Part A Explanation (Geometry - Proving Triangle Congruence or Angle Congruence) #### Step 1: Identify Parallel Lines and Transversal Adams Rd and Orange Rd are parallel (given…
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if these two shapes are similar, what is the measure of the missing len…
26
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if these two shapes are similar, what is the measure of the missir 1 mm…
4
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if these two shapes are similar, what is the measure of the missing len…
1
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given: \\(\\overline{ac}\\) bisects \\(\\angle dab\\) and \\(\\angle dc…
For step 2: E. Definition of angle bisector For step 3: E. Definition of angle bisector For step 4: G. Reflexive Property of Congruence For step 5: B. ASA (Assuming we are matchin…
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if these two figures are similar, what is the measure of the missing an…
\(94\)
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proof complete the paragraph proof given: ∠d ≅ ∠g, f is the midpoint of…
- First "Select Choice": ASA (Angle - Side - Angle) - Second "Select Choice": \( \overline{GF} \) - Third "Select Choice": Vertical Angles
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if these two shapes are similar, what is the measure of the missing len…
1
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if these two shapes are similar, what is the measure of the missing len…
1
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a student uses the vertical angles theorem and the definition of comple…
B. The student used the definition of complementary angles instead of the definition of supplementary angles.
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if these two figures are similar, what is the measure of the missing an…
\(106^\circ\)