A, B, and C are points of tangency. AP = 4 and BQ = 8. What is the measure of PQ?
Answers
The measure of PQ with the tangency of AP is 4 and BQ is 8 is 12. The tangency of the circle is defined as the point where the tangent meets the circle.
In a triangle, a circle is drawn at the center of the circle. The circle touches the triangle on three sides. The triangle PQR, the circle ABC is drawn inside it. From the given,
AP = 4
BQ = 8
PQ =?
From the figure,
AP = CP = 4
BQ = CQ = 8
PQ = CP + CQ
= 4 + 8
= 12
The measure of PQ is 12.
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Related Questions
The city park is 9 and 2/5 km from Roland Public School. The city library is 3 and 3/10 km from the same school. How much farther from the school is the park than the library? PLS HELP
Answers
Answer:
6 1/10
Step-by-step explanation:
Convert the mixed numbers into improper fractions (denominator × whole number + numerator / denominator):
9 2/5 = 47/5
3 3/10 = 33/10
Convert improper fractions to have the same denominator:
47/5 × 2/2 = 94/10
Find the difference by subtracting the numerators:
94/10 - 33/10 = 61/10
Convert the answer into a mixed number:
61/10 = 6 1/10
Find an equation of the line that passes through (3,10) and is parallel to the line x-3y=1
Answers
Answer:
x - 3y = -27
Step-by-step explanation:
Two parallel lines have equations of the same form; only the constants differ.
Thus, if the given line is x - 3y = 1, the desired new line has equation of the form x - 3y = C, where we must find the value of C.
Substituting 3 for x and 10 for y in x - 3y = C, we get 3 - 3(10) = C, or
3 - 30 = C. Thus, C = -27 and the desired new line is x - 3y = -27.
kaelyn has some yarn that she wants to use to make hats and scarves. each hat uses 0.20.20, point, 2 kilograms of yarn and each scarf uses 0.10.10, point, 1 kilograms of yarn. kaelyn wants to make 333 times as many scarves as hats and use 555 kilograms of yarn.
Answers
Kaelyn wants to use yarn to make hats and scarves. Each hat requires 0.2 kg of yarn, while each scarf requires 0.1 kg. She plans to make 333 times more scarves than hats and use a total of 555 kg of yarn.
Let h be the number of hats and s be the number of scarves Kaelyn makes. The first equation represents the total yarn used, which is 0.2h (for hats) plus 0.1s (for scarves) equal to 555 kg. The second equation represents the ratio of scarves to hats, where s is 333 times greater than h, i.e., s = 333h. So the system of equations is:
0.2h + 0.1s = 555
s = 333h
Kaelyn plans to use her yarn to make hats and scarves, with hats requiring 0.2 kilograms of yarn and scarves needing 0.1 kilograms. She aims to make 333 times more scarves than hats using a total of 555 kilograms of yarn.
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A jar contains 10 blue marbles, 3 red marbles, and 7 white marbles.
What is the probability of selecting a red marble, then a white marble
without replacement?
Answers
Answer:
50% chance because (10)/(20)=1/2=0.5=50%
Step-by-step explanation:
hope this helps
I need da answer please
Answers
the measure of the angle of a triangle are shown in the figure below. solve for x
Answers
Answer:
Step-by-step explanation:
A triangle is 180°
One angle is a right angle = 90°
And one is an acute angle of 27°
So 90+27= 117
You subtract 180 with 117 to get the answer of
X= 63°
The following triangle is equilaterial triangle. Solve for the unknown variable.
Answers
Answer:
d
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent, then
2x = 6 ( divide both sides by 2 )
x = 3
and
3y = 6 ( divide both sides by 3 )
y = 2
Thus x = 3 and y = 2 → d
A cost that changes in total as output changes is a variable cost. a. True b. False
Answers
Answer:
a. True
Step-by-step explanation:
a. True
A cost that changes in total as output changes is indeed a variable cost. Variable costs are expenses that vary in direct proportion to the level of production or business activity. As output increases, variable costs increase, and as output decreases, variable costs decrease. Examples of variable costs include direct labor, raw materials, and sales commissions.
Using logarithm table evaluate the
1.376
0.007
Answers
Answer:
convert the expression for N into logs
evaluate those logs using a log table
thus determine log N
calculate antilog of log N
Thus,
log
N
=
(
647
⋅
32
×
0.00000147
8.473
×
64
)
=
log
(
647
⋅
32
)
+
log
(
0.00000147
)
−
log
(
8.473
)
−
log
(
64
)
Find the equation of the linear function represented by the table below in slope-intercept form.
Answers
Answer:
y = 10x - 8
Step-by-step explanation:
The slope is "m", or how much the y-value changes on a line when the x-value changes by one.
The y-intercept is the y value of the line when it is intersecting the y-axis, or when the x-value is 0.
To find the slope, take 2 points from the graph and plug into the slope formula:
\(\frac{y_2-y_1}{x_2-x\\_1}\)
I'll use (0, -8) and (1,2).
Plug into the formula.
\(\frac{2--8}{1-0}\)
\(\frac{10}{1}\)
10
Slope = 10
To find the y-intercept, look at the table. What is the y-value when the x-value is equal to 0?
-8
y-intercept: -8
Slope-Intercept form:
y = mx + b
m: slope
b: y-intercept
y, x: leave as variables
y = 10x - 8
slope of a line that passes through the points (-4,-7) and (-2,-19) in simplest form
Answers
Answer:
m=-6
Step-by-step explanation:
use slope formula to solve
m= rise/run=y2-y1/x2-x1
Determine what number to multiply the first equation by to form opposite terms for the x-variable.
2
5
x + 6y = -10
–2x – 2y = 40
Multiplying the first equation by
will create opposite x terms
Answers
To create opposite x terms, we need to multiply the first equation by -5.
How to choose what term to multiply the first equation?
To choose what term to multiply the first equation, we need to consider the coefficients of the variable that we want to eliminate (in this case, the x variable) in both equations. Our goal is to create opposite terms for that variable in the two equations, so that when we add or subtract the equations, that variable will be eliminated.
Determining the number to multiply the first equation by to form opposite terms for the x-variable :
In this case, the coefficient of x in the first equation is 2/5, and the coefficient of x in the second equation is -2.
To create opposite terms for x, we need to find a constant that, when multiplied by the first equation, will result in a coefficient of x that is the negative of the coefficient of x in the second equation (i.e., -2).
To do this, we can divide the coefficient of x in the second equation by the coefficient of x in the first equation, and then multiply the entire first equation by the resulting constant.
In this case, we have:
\((-2)/(2/5) = -5\)
Multiplying the first equation by -5 gives:
\(-5(2/5)x + (-5)6y = -5(-10)\)
which simplifies to:
\(-2x - 30y = 50\)
Now we have two equations with opposite x terms:
\(-2x - 4y = 40\)
\(-2x - 30y = 50\)
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Order the sides of each triangle from shortest to longest
Answers
Use inductive reasoning to predict the next number in the sequence.
7, 10, 13, 16, 19, ...
21
21
22
22
23
23
20
Answers
the fgcu administration has decided to collect data to determine students’ attitudes toward the new fitness and recreation center. student workers will be employed to ask students the questions face to face and record their answers on a paper survey using a pencil or pen. one of the advantages of using this mode of data collection is: group of answer choices
Answers
One of the advantages of using face-to-face paper surveys with student workers to collect data on students' attitudes toward the new fitness and recreation center is the opportunity for immediate clarification and follow-up.
Face-to-face paper surveys offer several advantages in data collection. One significant advantage is the ability to provide immediate clarification and follow-up to respondents. When students are asked survey questions in person, they have the opportunity to seek clarification if they do not fully understand a question or need further explanation. The student workers administering the survey can address any confusion, provide additional context, or rephrase questions to ensure that respondents fully grasp the intent of each question. This immediate clarification helps reduce ambiguity and ensures accurate responses.
Moreover, face-to-face interaction allows for proactive engagement with respondents. Student workers can engage in conversations, build rapport, and encourage participation, thereby potentially increasing response rates. Students may feel more comfortable providing open-ended feedback or sharing nuanced opinions when speaking directly to another person rather than responding through online or remote methods.
Additionally, the use of paper surveys provides a tangible format for respondents to record their answers using a pencil or pen. This traditional method allows for ease of completion and familiarity, especially among individuals who may not be tech-savvy or prefer handwritten responses. Paper surveys also eliminate potential technical issues or connectivity problems that could hinder data collection in online or digital formats.
Furthermore, the face-to-face interaction during survey administration allows student workers to gauge respondent reactions, body language, and non-verbal cues, which can provide valuable insights into respondents' attitudes or emotions beyond their explicit answers. These non-verbal cues can add depth and context to the collected data, offering a more comprehensive understanding of students' attitudes toward the fitness and recreation center.
In summary, one of the advantages of using face-to-face paper surveys administered by student workers for collecting data on students' attitudes toward the new fitness and recreation center is the opportunity for immediate clarification and follow-up. This mode of data collection allows for real-time explanation of questions, addresses ambiguity, encourages participation, and provides a tangible format for respondents to record their responses. It also enables student workers to observe non-verbal cues and reactions, enhancing the overall understanding of students' attitudes and opinions.
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Someone please help me answer 4(x-3)=12
Answers
We move all terms to the left:
4(x - 3) - (12) = 0Multiply
4x - 12 - 12 = 0We add all the numbers and all the variables.
4x - 24 = 0We move all terms containing x to the left hand side, all other terms to the right hand side
4x = 24x= 24/4x = 6Line p goes through points (-2,6) and (4,-3) what is the equation of line p?
Answers
Answer:
-3/2x+3
Step-by-step explanation:
y=mx+c
y=-3/2x+c
Substitute x and y values,
c=3
Therefore,
equation of line p=-3/2x+3
What is the missing statement in the proof? Scroll down to see the entire proof.
Given: ∆ABC with m∠ABC = 90°
A right triangle A B C.
Prove: AB2 + BC2 = AC2
Statement
Reason
1. Draw view diagram.
A right triangle A B C. Point D is at the midpoint of side A C. A line runs from D to B to form two right triangles A B D and D B C.
construction
2. ∠ ABC≅ ∠BDC
Angles with the same measure are congruent.
3.
Reflexive Property of Congruence
4. ∆ABC ~ ∆BDC
AA criterion for similarity
5.
Corresponding sides of similar triangles are proportional.
6. BC2 = AC × DC
cross multiplication
7. ∠ ABC ≅ ∠ADB
Angles with the same measure are congruent.
8. ∠ BAC ≅ ∠DAB
Reflexive Property of Congruence
9. ∆ABC ~ ∆ADB
AA criterion for similarity
10.
Corresponding sides of similar triangles are proportional.
11. AB2 = AC × AD
cross multiplication
12. AB2 + BC2 = AC × AD + AC × DC
addition
13. AB2 + BC2 = AC(AD + DC)
Distributive Property
14. AB2 + BC2 = AC × AC
segment addition
15. AB2 + BC2 = AC2
multiplication
A.
∠ BDC ≅ ∠ADB
B.
∠BCA ≅ ∠DCB
C.
∠ BAC ≅ ∠BAD
D.
∠ DBC ≅ ∠BAC
Answers
Answer:
Step-by-step explanation:
Option A: ∠ BDC ≅ ∠ADB is the missing statement in the proof.
This statement is needed to complete the proof by showing that triangles ∆ABC and ∆ADB are similar by the AA criterion.
The Coffee Counter charges $11
per pound for Kenyan French Roast coffee and $10
per pound for Sumatran coffee.
How much of each type should be used to make a 20 pound blend that sells for $10.60
per pound?
Answers
Answer:
12 pounds of Kenyan French Roast coffee
8 pounds of Sumatran coffee
Step-by-step explanation:
if you use x pounds of Kenyan French Roast coffee and y pounds of Sumatran coffee then you know that
11x + 10y = 10.6 * 20
x+y=20
10x+10y=200
11x+10y=212
x=12
y = 20-x = 20-12 = 8
so you want to use
12 pounds of Kenyan French Roast coffee
8 pounds of Sumatran coffee
A rectangular gate measures 1.2 m by 2.3 m with a 2.4 m diagonal. Is the gate
square? If not, should the diagonal be longer or shorter?
Answers
Using Pythagoras Theorem
a^2+b^2=c^2
(1.2)^2+(2.3)^2= c^2
c^2= 6.73
c= 2.594224354214569 (Negative value rejected, length cannot be negative)
Therefore the diagonal should be longer.
Hope it helps :)
r = 1 + 2 cos θ
and r = 2 meet in the two points for which (round your answer to two decimals)
θ ± The area A of the region which lies inside
r = 1 + 2 cos θ
and outside of r = 2 equals to (round your answer to two decimals)
Answers
The area A of the region that lies inside r = 1 + 2 cos θ and outside of r = 2 is approximately -2.31.
To find the points of intersection between the polar curves r = 1 + 2 cos θ and r = 2, we can set the two equations equal to each other:
1 + 2 cos θ = 2
Subtracting 1 from both sides:
2 cos θ = 1
Dividing both sides by 2:
cos θ = 1/2
To find the values of θ that satisfy this equation, we can use the inverse cosine function:
θ = ± π/3
So, the two points of intersection between the curves are θ = π/3 and θ = -π/3.
To find the area A of the region that lies inside r = 1 + 2 cos θ and outside of r = 2, we can calculate the difference in the areas enclosed by the curves.
The area between two polar curves can be calculated using the formula:
A = (1/2) ∫[θ1,θ2] (r1² - r2²) dθ
In this case, r1 = 1 + 2 cos θ and r2 = 2.
Substituting these values into the formula, we have:
A = (1/2) ∫[π/3, -π/3] ((1 + 2 cos θ)² - 2²) dθ
Simplifying the integrand:
A = (1/2) ∫[π/3, -π/3] (1 + 4 cos θ + 4 cos² θ - 4) dθ
A = (1/2) ∫[π/3, -π/3] (4 cos θ + 4 cos² θ - 3) dθ
Integrating term by term, we get:
A = (1/2) [4 sin θ + (4/3) sin³ θ - 3θ] evaluated from θ = π/3 to θ = -π/3
Evaluating at the limits:
A = (1/2) [(4 sin(-π/3) + (4/3) sin³(-π/3) - 3(-π/3)) - (4 sin(π/3) + (4/3) sin³(π/3) - 3(π/3))]
Calculating the trigonometric values:
A = (1/2) [(-2√3 + (4/3)(-√3) - (-π/3)) - (2√3 + (4/3)(√3) - (π/3))]
Simplifying further:
A = (1/2) [(-2√3 - 4√3 - π/3) - (2√3 - 4√3 + π/3)]
A = (1/2) [(-6√3 - π/3) - (-2√3 + π/3)]
A = (1/2) [-6√3 - π/3 + 2√3 - π/3]
A = (1/2) [-4√3 - 2π/3]
Rounding to two decimal places:
A ≈ -2.31
Therefore, the area A of the region that lies inside r = 1 + 2 cos θ and outside of r = 2 is approximately -2.31.
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In triangle WXY , angle X cong angle W.; WX = 10 and YW = 8 Find XY .
Answers
Can I get a Brainly
Alex drives at an average speed that is
2/3 of the average speed that Roy's train travels.
Alex takes 40 minutes to travel 65 km in her car.
Roy travels for 1 hour and 15 minutes on his train.
How far does Roy travel to 2 decimal places?
Answers
Answer:
The answer is 162.5
Step-by-step explanation:
you divide 2 by 3 and then figure out how many examples where given to find the average and multiply by that much and you get the answer.
what is the target domain for a poisson distribution?
Answers
The target domain for a Poisson distribution is given the term (0, inf) which can be seen correct in option B.
A Poisson distribution's target domain is (0, inf). This means that the Poisson distribution can only be specified for non-negative integer values of the random variable it is modelling.
The Poisson distribution is a discrete probability function, which indicates that the variable may only take particular values from a finite list of integers. A Poisson distribution estimates how many times an event will occur in "x" amount of time. In other words, it is the probability distribution resulting from the Poisson experiment.
A Poisson experiment is a statistical experiment that categorises the experiment as either successful or unsuccessful. A limiting process of the binomial distribution is the Poisson distribution.
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Complete question:
What is the target domain for a Poisson distribution?
1) (-inf, inf)
2) (0, inf)
3) (-inf, 0]
4) [0, inf)
Can someone help me solve these equations?
1. 2y^2+5Y+2 |
2. 5x^2-18x+9 |
3. 16b^2+60b-100 | 4.-6a^2-25a-25 |
5. 49x^2-14x+1 |
6. 81x^2-49
Answers
1.) y = -2, y = -1/2
2.) x = 6/10, x = 3
3.) b = 5/4, b = -5
4.) a = -5/3, a = -5/2
5.) x = 1/7
6.) x = 1/7, x =-1/7
If this does not help, comment what we need to solve (factor the equation, etc.)
Here is part of a shopping bill for clothing.
Work out the cost of the jacket before the discount.
Answers
Answer:
how are we supposed to answer this
Answer:
Hewo ❤
Step-by-step explanation:
❤ how are you? ❤
In the formula =D1+C1/F3, which calculation will be performed first?a. C1/F3 b. D1+C1c. D1/F3 d. D1+F3
Answers
The calculation that will be performed first in the formula =D1+C1/F3 is option a. C1/F3 because in the order of operations, division is performed before addition.
In the formula =D1+C1/F3, the calculation that will be performed first is: a. C1/F3. This is because, according to the order of operations (PEMDAS/BODMAS), division should be performed before addition.
1. Perform the division operation: C1/F3
2. Perform the addition operation: D1 + (result from step 1)
So, The calculation that will be performed first in the formula =D1+C1/F3 is option a. C1/F3 because in the order of operations, division is performed before addition.
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If each exterior angle of a regular polygon is 30°, find how many sides the polygon has & the measure of an
interior angle of that polygon.
Answers
Answer:
12 sides and measure of each interior angle is 150...
Answer:
Step-by-step explanation:
Number of sides = 360°/30° = 12
Interior angle is the supplement of exterior angle = 180°-30° = 150°
please help i just cant do this please...
Answers
Answer:
The second one is correct
Determine the equation of the line that passes through (-8,9) and (2,-6)
Express you answer as a fraction in lowest terms.
Answers
The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.
We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.
Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.
Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.
The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.
Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.
Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.
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