Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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a, b, c, and d have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6…
B. $\overrightarrow{AB}$ and $\overrightarrow{CD}$ are perpendicular lines.
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a. draw the dilation of triangle abc, with center (0, 0), and scale fac…
a. To draw $\triangle A'B'C'$: Multiply the coordinates of $A$, $B$, and $C$ by 2 and plot the new points. b. To draw $\triangle A''B''C''$: Multiply the coordinates of $A$, $B$, …
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1. find the horizontal and vertical distances from capella to ursa. sho…
Horizontal distance from Capella to Ursa: 3820 ft Vertical distance from Capella to Ursa: 2675 ft Length of cable needed: 4663 ft
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a quadrilateral has vertices a(4, 5), b(2, 4), c(4, 3), and d(6, 4). wh…
E. ABCD is a rhombus with non - perpendicular adjacent sides.
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given: $overrightarrow{ab}paralleloverrightarrow{cd}$, $angle eijcongan…
C. Congruent Supplements Theorem
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a right - circular cylinder has a radius of 6 inches and a height of 5 …
The volume is $V\approx400.95$ cubic inches. The surface area is $SA\approx529.03$ square inches.
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1. dilate b using a scale factor of 5 and a as the center of dilation. …
1. \(I\) 2. \(3\) 3. \(\frac{1}{2}\) 4. \(A\) 5. \(D\) 6. Center of dilation: \(A\), Scale factor: \(\frac{3}{2}\) 7. \(1\)
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night chapter 7, pg 102 \come, come quickly! someone is strangling my s…
B. During the first selection
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a right - circular cylinder has a radius of 6 inches and a height of 5 …
$410.31$
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line lh is perpendicular to line za. line za is represented by the equa…
$y = 2x-6$
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the rectangle seen in frame 1 is rotated to a new position seen in fram…
F. 140° counterclockwise
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2. using the distance formula to help other towns discuss & write: usin…
5249 feet
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lesson 2 practice problems 1. each of the six cards shows a shape. a. w…
a. Cards 2 and 6 b. Cards 3 and 5
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a right - circular cylinder has a radius of 6 inches and a height of 5 …
$565.5$
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a right - circular cylinder has a radius of 5 inches and a height of 8 …
$392.70$
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a right - circular cylinder has a radius of 6 inches and a height of 6 …
The volume is $V\approx678.24$ cubic inches. The surface - area is $SA\approx452.16$ square inches.
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diego started with this shape. diego moves the shape down, turns it 90 …
Follow the above - described three - step process to draw the shape after each move.
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for each pair of triangles, check that their sides are proportional. ci…
# Explicación: ## Paso 1: Calcular la proporción de lados para el primer par de triángulos Para $\frac{KM}{K'M'}$, tenemos $\frac{24}{36}=\frac{2}{3}$. Para $\frac{KL}{K'L'}$, ten…
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1. constructing the distance formula altitude (ft) distance from the co…
$(x_2 - x_1)^{2}+(y_2 - y_1)^{2}$
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find the volume of a cone with a radius of 5 centimeters and a height o…
$125\pi$
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these five frames show a shapes different positions. describe how the s…
The shape moves one - unit to the right in each successive frame and there is no vertical movement.
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$\\angle1$ and $\\angle2$ are vertical angles. if $m\\angle1=(2x - 20)^…
$60^{\circ}$
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∠1 and ∠2 are complementary angles. if (mangle1=(5x + 19)^{circ}) and (…
$44^{\circ}$
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∠1 and ∠2 are complementary angles. if (mangle1=(5x + 19)^{circ}) and (…
$44^{\circ}$
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3 reflect right triangle abc across line bc. classify triangle aca acco…
3. Triangle $ACA'$ is isosceles because when $\triangle ABC$ is reflected across line $BC$, $CA = CA'$ by the property of reflection. 4. B. The measure of angle $BCA$ is the same …
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∠1 and ∠2 are supplementary angles. if (mangle1=(4x - 4)^{circ}) and (m…
$96^{\circ}$
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∠1 and ∠2 are supplementary angles. if (mangle1=(x + 15)^{circ}) and (m…
\(133^{\circ}\)
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1 when rectangle abcd is reflected across line ef, the image is dcba. h…
1. D. Corresponding parts of congruent figures are congruent. 2. C. Diagonal \(FH\) bisects angles \(EFG\) and \(EHG\); E. Angle \(FEH\) is congruent to angle \(FGH\).
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$\\angle1$ and $\\angle2$ are supplementary angles. if $m\\angle1=(4x -…
\(52^{\circ}\)
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find the volume of the object by counting the cubic units. assume that …
(The actual answer depends on the number of cubes counted in the figure, which is not visible in a clear - cut way here. You would need to count the cubes in the given 3 - D struc…
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lesson 1 practice problems the six - frames show a shapes different pos…
From frame 1 to 2, the shape moves up. From frame 2 to 3, the shape rotates counter - clockwise. From frame 3 to 4, the shape rotates counter - clockwise. From frame 4 to 5, the s…
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rachel is planning to run a marathon. as part of her training this week…
$10\leq x\leq15$; On the number - line, mark a closed circle at 10 and a closed circle at 15, and shade the region between them.
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∠1 and ∠2 are complementary angles. if (mangle1=(x - 1)^{circ}) and (ma…
\(78^{\circ}\)
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solve the compound inequality. 2y + 3 ≤ 3 and - 3y > 15. graph the solu…
On the number - line, we would mark an open circle at - 5 (because \(y\) is strictly less than - 5) and shade to the left of - 5.
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question 7 (6.666666667 points) match the artifact with what it tells a…
Domesticated dog remains - 3. Human - animal partnership Animal bones in circles - 1. Ritual or symbolic practices Grinding stones - 2. Early food processing techniques Fishing ho…
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3 which conjecture is possible to prove? a all quadrilaterals with at l…
3. D. All squares with at least one side length of 3 units are congruent. 4. A - 1 (SAS), B - 2 (ASA), C - 3 (SSS)
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how many degrees are in a triangle?
180
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find the measure of minor arc $overparen{cg}$. write your answer as a w…
$126$
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find the measure of ∠nqo. write your answer as a whole number or a deci…
$31$
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yz is tangent to the circle at z. find the measure of ∠xyz. 114° 172° w…
$37$
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jk is tangent to the circle at l. find the measure of ∠jlm. 282° write …
39
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1 here is a diagram with two zigzags. (overline{cb}congoverline{fe}), (…
First, translate point B to point E. Then, rotate the translated figure around point E so that $\overline{BA}$ coincides with $\overline{ED}$.
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find the measure of ∠ilj. write your answer as a whole number or a deci…
\(102\)
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2 figure mrjkgh is the image of figure af ekjb after being rotated 90° …
For question 2a: Geometric construction of segment and its rotated image as described above. For question 2b: $\text{Quadrilateral }AEKB\cong\text{Quadrilateral }MBJK$ For questio…
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find m\\(overset{\frown}{ad}). m\\(overset{\frown}{ad}) = °
$204$
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1 line sd is a line of symmetry for figure axpdzhms. noah says that axp…
a. Noah only considered one - pair of corresponding sides; all corresponding sides and angles must be equal for congruence. b. AXPDZ $\cong$ HMZDS
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if m∠1 + m∠2 = 180°, and m∠2 = m∠4, then m∠1 + m∠4 = 180°. which reason…
Substitution Property of Equality
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if ∠acd and ∠bce are complementary angles, then m∠acd + m∠bce = 90°. wh…
Definition of Complementary Angles
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what is the first statement of the proof? ∠3 and ∠4 are vertical angles…
∠3 and ∠4 are vertical angles
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given: b is the midpoint of ac. prove: 2ab = ac. statements reasons 1) …
B. Definition of Midpoint
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∠wxy≅∠wxy. which reason justifies the statement? transitive property re…
Reflexive Property
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what is the second reason? definition of midpoint given segment additio…
Definition of Midpoint
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what is the fourth reason? segment addition postulate definition of mid…
Substitution Property
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find the slope of the line. -4/5 4/5 -5/4 5/4
A. $-\frac{4}{5}$
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3. deriving the pythagorean theorem to find the length of the cable car…
Horizontal distance: 6484 ft, Vertical distance: 1230 ft
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3. deriving the pythagorean theorem to find the length of the cable car…
Horizontal distance: 6494 feet Vertical distance: 1230 feet Length of cable - car route: 6609 feet Time taken: 9 minutes Yes, the cable - car will make the one - way trip in 30 mi…
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what do you notice about the slopes of both of the lines? they are the …
They are the same slope: 1
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are the angle ∠abc and ∠fbe a pair of vertical angles or adjacent angle…
vertical angles
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does the diagram show a pair of vertical angles or adjacent angles? * 1…
adjacent angles
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does the diagram show a pair of vertical angles or adjacent angles? * 1…
vertical angles
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does the diagram show a pair of vertical angles or adjacent angles? * 1…
adjacent angles
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calculate the slope of the linear function. enter your answer in the bo…
$-\frac{1}{10}$
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the graph represents graces walk home from school. use the graph to ans…
(0, 2.5)
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the graph represents gracies walk home from school. use the graph to an…
(40, 0)
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reasoning with parallel and perpendicular lines madison is a developer,…
The slope of Moonbeam Drive is $-\frac{4}{5}$ and $s(x)=-\frac{4}{5}x + 4$
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what is m∠h? write your answer as an integer or decimal. m∠h =
$83.5$
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what is m∠s? write your answer as an integer or decimal. m∠s =
$51.5$
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what is the value of x?
$4$
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what is the value of x?
$15$
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what is m∠ikj? m∠ikj = °
$75$
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sketch an image or paste a screenshot of your graph and show the follow…
Follow the steps above to sketch the graph and show the key features.
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what is the slope of the line in the graph below?
$-\frac{2}{5}$
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level 3 graph the compound inequality. 11) $x\\geq - 3$ and $x < 5$ 12)…
11) The solution on the number - line has a closed circle at \(-3\), an open circle at \(5\), and the region between them is shaded. 12) The solution on the number - line has a cl…
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for what values of x and y are the triangles congruent by hl? x = y =
\(x = 2\), \(y=\frac{5}{3}\)
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example 7 if m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure. …
a. $m\angle1 = 139^{\circ}$ b. $m\angle3 = 139^{\circ}$ c. $m\angle4 = 86^{\circ}$ d. $m\angle6 = 41^{\circ}$ e. $m\angle7 = 30^{\circ}$ f. $m\angle8 = 71^{\circ}$ g. $m\angle9 = …
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example 7 if m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure. …
a. $m\angle1 = 139^{\circ}$ b. $m\angle3 = 139^{\circ}$ c. $m\angle4 = 45^{\circ}$ d. $m\angle6 = 45^{\circ}$ e. $m\angle7 = 86^{\circ}$ f. $m\angle8 = 64^{\circ}$ g. $m\angle9 = …
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example 7 if (mangle2 = 41^{circ}), (mangle5 = 94^{circ}), and (mangle1…
a. \(m\angle1 = 45^{\circ}\) b. \(m\angle3 = 139^{\circ}\) c. \(m\angle4 = 15^{\circ}\) d. \(m\angle6 = 41^{\circ}\) e. \(m\angle7 = 98^{\circ}\) f. \(m\angle8 = 45^{\circ}\) g. \…
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if rg = 15 centimeters and gg = 5 centimeters, what is the scale factor…
$\frac{3}{2}$ (There seems to be an error in the options provided as $\frac{3}{2}$ is not among them. But the correct scale factor of dilation from pre - image to image with cente…
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what it the x - coordinate of point b if it is first reflected across t…
# Explicación: ## Paso 1: Reflexión sobre la línea amarilla Para reflejar un punto sobre una línea vertical, el valor de la coordenada y no cambia, y la distancia entre el punto o…
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what it the x - coordinate of point b if it is first reflected across t…
# Explicación: ## Paso 1: Reflexión sobre la línea amarilla Determina la distancia horizontal entre el punto B y la línea amarilla. Luego, mueve el punto B por la misma distancia …
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is figure abcd congruent to figure klmn? explain. the figures are not c…
The figures are not congruent because Figure ABCD only maps onto Figure KLMN by a dilation.
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what it the x - coordinate of point a if it is first reflected across t…
# Explicación: ## Paso 1: Reflexión sobre la línea roja La reflexión de un punto $(x,y)$ sobre una línea vertical $x = a$ se calcula como $(2a - x,y)$. Supongamos que la línea roj…
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what it the x - coordinate of point a if it is reflected across the yel…
# Explicación: ## Paso 1: Determinar la ecuación de la línea amarilla La línea amarilla es una línea vertical que parece pasar por \(x = 4\). ## Paso 2: Encontrar la distancia ent…
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which two figures are congruent? figures b and d figures a and d figure…
Figures A and D
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what it the x - coordinate of point a if it is reflected across the gre…
# Explicación: ## Paso 1: Identificar la posición inicial de A Observando la gráfica, la coordenada x - inicial de A es 4. ## Paso 2: Encontrar la distancia a la línea de reflexió…
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which is a way to show △def is congruent to △def? a reflection across t…
B. A rotation 180° about the origin and a translation 1 unit up
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what it the x - coordinate of point a if it is reflected across the red…
# Explicación: ## Paso 1: Identificar la ubicación horizontal de A Observar la posición inicial de A en el eje x. ## Paso 2: Calcular la distancia al eje de reflexión Contar las c…
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which is a way to show △def is congruent to △def? a reflection across t…
All of the above (assuming the options are the four described transformation sequences)
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what it the y - coordinate of point b if it is reflected across the red…
3 (suponiendo que la grilla tenga una escala de 1 y contando correctamente la distancia vertical en la grilla)
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is figure abcd congruent to figure pqrs? no, figure abcd is congruent t…
Yes, rotate Figure ABCD 270° about the origin and then translate it 3 units up; Yes, rotate Figure ABCD 90° about the origin and then translate it 3 units down; Yes, translate Fig…
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what it the x - coordinate of point a if it is reflected across the yel…
# Explicación: ## Paso 1: Determinar la posición inicial de A Observando la gráfica, la coordenada x - inicial de A es 4. ## Paso 2: Encontrar la distancia a la línea amarilla La …
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what it the y - coordinate of point b if it is reflected across the red…
# Explanation: ## Paso 1: Identificar la ecuación de la línea roja La línea roja es una línea horizontal. Supongamos que la ecuación de la línea roja es $y = k$. Mirando la cuadrí…
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a triangle with a perimeter of 13 centimeters is rotated and reflected …
13
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what is the slope of the line? m = ___ simplify the constant rate of ch…
$-2$
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what is the volume of the following rectangular prism? 3\\frac{1}{3} un…
$4\frac{2}{3}$
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identify the shape that can be formed using the following net. choose 1…
A. Cube
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name the relationship between the indicated angles *
Same Side Interior
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name the relationship between the indicated angles *
B. Alternate Interior
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what it the y - coordinate of point b if it is reflected across the gre…
# Explicación: ## Paso 1: Identificar la ecuación de la línea de reflexión La línea verde parece ser la línea $y = x$. La fórmula general para reflejar un punto $(x_0,y_0)$ en la …
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algebra 1 unit 2 test warm - up 1) solve the following equations. show …
1. a) $x = 96$ b) $x = 8$ 2. Graph: Open - circle at - 14, shade right on number line. 3. $t\leq8$