Q14)
Points A, B and C lie on the circumference of a circle and DE is the
tangent to the circle at A. Angle DAB = 79º and angle EAC = 37º.
2
Find the sizes of angles x and y.
Not to scale
Give a reason for your answers.
B
7
[Total 3
790
1370
E
A
Answers
Answer:
x = 37
y = 79
Step-by-step explanation:
Remark
We are going to go through an extensive discussion of the value of x. The value for y is found exactly the same way.
Top diagram.
The top diagram establishes the fact that if any two points are on the major arc of the circle whose center is 0, then the vertex of the of the two angles so formed are equal. The end points of these two angles must be established by the endpoints of the chord A and B.
Put in much simpler language.
<ACB = <AC'B
The end points of the angles are A and B of the Chord AB.
The Vertex of the angles are both on the major arc of the circle. These two are C and C'
Bottom Diagram
The idea here is to find the value of C. If we do that, then we know what x is in the diagram you provided.
Draw diameter COA Construction
< CAB = 90 Any vertex (C) on circumference with diameter endpoints (A & C) = 90
<CAT_1 = 90 A diameter always meets a tangent at 90o
<BAT_1 = 37 Given
<CAB = 90-37 <CAB and <BAT_1 are complementary
<ACB = 37 A right triangle's acute angles are complementary.
<ACB = x = 37o See top diagram
Related Questions
solve by substitution 3x +y=13 and 5x-2y=7
Answers
Answer:
x=3
y=4
Step-by-step explanation:
I'm using 3x+y=13 to find y, then plug y into the second equation.
y= -3x+13
5x-2(-3x+13)=7
find x.
5x+6x-26=7
11x=33
x=3
now plug x into 3x+y=13(you could do it with the other equation too)
3(3)+y=13
y=13-9
y=4
The value of x and y is 3, and 4 respectively by the substitution method.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of equations;
3x +y=13 ...(1)
5x-2y=7 ...(2)
By using the substitution method.
[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]
y = 4
Plug y = 4 in equation (1)
3x + 4 = 13
x = 3
Thus, the value of x and y is 3, and 4 respectively by the substitution method.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
You order pizza on Door Dash. It costs $39. Sales tax is 7%. What is the sales tax?
Answers
Answer:
Sales tax is $2.73. Making the total $41.73
Answer:
2.73 or [tex]\frac{273}{100}[/tex]Step-by-step explanation:
[tex]--------------------------------------------[/tex]
It is $2.73 because 7% of $39 = 2.73 or [tex]\frac{273}{100}[/tex] according to Desmos.
[tex]--------------------------------------------[/tex]
$39 + $2.73 = $41.73 = Total
[tex]--------------------------------------------[/tex]
The sales tax is $2.73
[tex]--------------------------------------------[/tex]
The total is $41.73
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Which function represents exponential decay with 5% as the rate of decrease?
Answers
Answer:
The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex] ⇒ B
Step-by-step explanation:
The form of the exponential growth function is y = a [tex](1+r)^{x}[/tex]
The form of the exponential decay function is y = a [tex](1-r)^{x}[/tex]
a is the initial valuer is the rate of increase or decrease in decimal∵ The function represents exponential decay with 5%
→ By using the second rule above
∴ y = a [tex](1-r)^{x}[/tex]
∵ The rate of decrease is 5%
∴ r = 5%
→ Change it to decimal by dividing it by 100
∵ 5% = 5 ÷ 100 = 0.05
∴ r = 0.05
→ Substitute it in the equation
∵ y = a [tex](1-0.05)^{x}[/tex]
∴ y = a [tex](0.95)^{x}[/tex]
→ Look at the answer to find which equation is written in this form
∴ y = 50 [tex](0.95)^{x}[/tex]
∴ The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex]
Evaluate u+xy for u=17 x=4 and y=8
Answers
Which pair of functions are inverses of each other?  A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x and g(x) = {\left( {\frac{x}{6}} \right)^3}g(x)=( 6 x ) 3  B. f(x) = 10x – 5 and g(x) = \frac{{x + 5}}{{10}}g(x)= 10 x+5 C. f(x) = \frac{4}{x} - 3f(x)= x 4 −3 and g(x) = \frac{{x + 3}}{4}g(x)= 4 x+3 D. f(x) = \frac{x}{8} + 3f(x)= 8 x +3 and g(x) = 8x – 3
Answers
Answer:
the answer is B
Step-by-step explanation:
find the unit price if it cost $3 for eight cans of soda. round to the nearest cent.
Answers
Answer:
0.40 the actual answer is 3.20 but you said round so
Step-by-step explanation:
Answer:
0.38 is the answer for me
Step-by-step explanation:
If the point (8,-5) is 6 units above the point P(x, y) and 3 units to the right of it, then what are the coordinates of
the point P(x, y)?
Answers
Answer:
(5, -11)
Step-by-step explanation:
We know that (8, -5) is 6 units above and 3 units to the right of point P. Knowing this, let's work backwards by starting from (8,-5) and counting 6 units down and 3 units to the left on the graph.
If you counted correctly, this should place you at the (5, -11). (You can also check your work by counting 6 units up and 3 units to the right from (5, -11) and seeing if you end up at (8, -5).)
Duela de 1a 1 1/2 x 10 x 3, $ 120.00 m2
Answers
¡Hola!
¿Qué puede significar una duela de 1 a 1 1/2 x10x3 $ 120.00m2?
Este ejercicio es para que puedas acomodar la información para que quien la lea tenga una forma de entenderla claramente así:
1. Primero podríamos decir que una duela es una tabla de madera que se curva y contornea los barriles o también las tablas de los pisos.
2. Lo siguiente es para confirmar que la mesa es de excelente calidad, es decir, Primera o.
3. 1, puede hacer referencia a una unidad.
4. 1/2 x10x3 este puede ser su volumen en centímetros 1 / 2cm de alto, 10cm de largo y 3cm de ancho.
5. Por último, el precio de la duela, 120.000 dólares el metro cuadrado.
Entonces podemos organizar todo esto:
Duela de Primero, 1 unidad; 1/2 cm de alto, 10cm de largo y 3cm de ancho, con un precio de $ 120.00 el metro cuadrado.
¡Espero haber ayudado!
Admission to the local amusement park cost $5.25 and each ride cost $2.50 which of the following equations represents the cost C in dollars for admission to the park with ex ride tickets?
Answers
Answer:
C=2.50r+5.25
Step-by-step explanation:
(r represents each ride cost)
5.25 would be the y-intercept since that's the initial fee to enter the park, and 2.50 would be the slope since each ride would cost that much.
help me quick!!!!!!,!,!!
Answers
Answer:oof
Step-by-step explanation:
The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.
9x^2-36x+16
A.True
B.False
Answers
Step-by-step explanation:
9x² - 36x + 16
= (Ax - B)² = A²x² - 2ABx + B².
By Comparing Coefficients, we have:
A² = 9,
2AB = 36,
B² = 16.
It is obvious that A = 3 and B = 4.
However 2AB = 2(3)(4) = 24 which is not equal to 36.
Hence 9x² - 36x + 16 is not a perfect square trinomial.
Answer:
False
Step-by-step explanation:
The polynomial cannot be factored.
please help me asap
Answers
Answer: -18
Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18
Suppose that 28% of the vehicles in a certain town are trucks. A person standing at an intersection waiting for a friend to pick him up. Let X = the number of trucks observed after 20 cars pass the observer. What is the expected value of X?
Answers
Answer:
The expected value is 5.6
Step-by-step explanation:
Here, we want to calculate the expected value of x
Mathematically, that will be the probability multiplied by the number of items
In this case, that will be ;
0.28 (28%) * 20 = 5.6
If the slope is 3 what does it represent using this table
Answers
Answer:
The table represents a linear function.
The graph of linear function y = 3x is attached below.
Step-by-step explanation:
Given the table
Number of Hours 1 3 5
Number of Tents 3 9 15
Given that the slope is 3.
Finding the slope between (1, 3) and (3, 9)
Slope = (y₂-y₁) / (x₂-x₁)
= [9-3] / [3-1]
= 6 / 2
= 3
Finding the slope between (3, 9) and (5, 15)
Slope = (y₂-y₁) / (x₂-x₁)
= [15-9] / [5-3]
= 6 / 2
= 3
As the value of slope remains constant i.e. slope = m = 3.
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 3 and the point (1, 3)
[tex]y - 3 = 3 (x-1)[/tex]
[tex]y-3 = 3x-3[/tex]
[tex]y = 3x-3+3[/tex]
[tex]y = 3x[/tex]
Comparing with the slope-intercept form of a linear function of line
y = mx+b where m is the slope and b is the y-intercept
slope = 3 and y-intercept b = 0
Therefore, the table represents a linear function.
The graph of linear function y = 3x is attached below.
What is the cos(A) as a fraction
Answers
Answer:
cos A= 8/17
Step-by-step explanation:
cos theta = adj / hyp
please help i have 1 hour to complete this
Answers
Answer:
for the first one its C,D and E
but for the second one i dont
know so sorry
Step-by-step explanation:
Given m||n, find the value of x.
+
(8x-4)º
(6x-12)
Answers
Answer:
x = 14
Step-by-step explanation:
(6x - 12)° + (8x - 4)° = 180° (Supplementary angles)
6x - 12 + 8x - 4 = 180
Add like terms
14x - 16 = 180
14x = 180 + 16
14x = 196
x = 196/14
x = 14
Which of the following statements best describes the relationship between the point (5,-20) and the system of
inequalities below?
Answers
Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.
Step-by-step explanation:
It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.
So, we start by plugging in -20 for y and 5 for x.
y > -2x-3
-20 > (-2)(5) - 3
-20 > -10-3
-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.
y ≤ 3x + 2
-20 ≤ 3(5) + 2
-20 ≤ 15 +2
-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.
What is 3/10 as a decimal and as a representation percent? Please answer fast thanks
Answers
Answer:
as a decimal 0.3 and the percent is 30%
Answer:
in decimal :0.3 and in percent:3/10/total*100%
Step-by-step explanation:
in decimal: 3/10
=0.3
in percent= 3/10/total*100%
Evaluate log 473 round to the nearest hundredth
Answers
Answer:
473 rounded to the nearest hundredth, would be 400.
The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?
Answers
Answer:
The probability that a person likes the color blue given that they are a woman=0.25%
Step-by-step explanation:
We are given that
The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]
The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]
We have to find the probability that a person likes the color blue given that they are a woman.
We know that
Conditional probability formula
[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]
The probability that a person likes the color blue given that they are a woman
=[tex]\frac{0.1}{0.4}[/tex]
[tex]=\frac{1}{4}=0.25[/tex]
Hence, the probability that a person likes the color blue given that they are a woman=0.25%
Grant paid $12 for 4 baseball card packs. How many baseball card packs can he purchase for $21? Group of answer choices
Answers
Answer:
Grant can purchase 7 baseball card packs for $21. 12/4=3 and 21/3=7.
Answer: 7
Step-by-step explanation:
Answer:
7 packs
Step-by-step explanation:
12/4 = $3 ea.
21/3 = 7 packs
What two words describe the result set of a FULL OUTER JOIN minus the INNER JOIN result set in set theory parlance
Answers
Answer:
CROSS JOIN (/^\s*symmetric\s*difference\s*$/)
Step-by-step explanation:
Remember, in SQL (Structured Query Language) operations, we can use the CROSS JOIN function to take data from one row of a table in the database and join it with each row of another table.
In other words, the result of FULL OUTER JOIN minus the INNER JOIN of the data set would require a CROSS JOIN operation which would the two different rows into one row.
what is the y-intercept of f(x)=3/5x
a. (1, 0)
b. (1, 3/5)
c. (0, 0)
d. (0, 1)
Answers
F(0)=0
I can put the work in the comments if you need it :)
Answer:
o,1
Step-by-step explanation:
Ethan buys a video game on sale. If the video game usually costs $49.99, and it was on sale for 30% off.
Answers
Answer:
$34.99
Step-by-step explanation:
49.99 - 14.997=
34.99
Answer:
the answer is 34.99
if you want me to explain i will ")
Pedro had 17.70 in his wallet he spent 3.25 on a drink . How much does he have left? Estimate the answer by rounding to the nearest whole numbers before subtracting
Answers
Answer:
15
Step-by-step explanation:
$17.7 rounded to $18
$3.25 rounded to $3
$18 - $3 = $15
Simplify.
(+18)%(-6)
Answers
Answer: -3
Step-by-step explanation:
18/6 = 3
18/-6 = -3
ANSWER ASAP PLS YEY BRAINLIEST AND STUFFsolve for x 2/3=x-1/5
Answers
Answer:
x = 13/15
Step-by-step explanation:
If x - 1/5 = 2/3,
you can find x by doing 2/3 + 1/5.
2/3 = 10/15
1/5 = 3/15
10/15 + 3/15 = 13/15!
Hope this helps! Happy Holidays! XD
I can't figure this out
Please help!!
Answers
Answer: y=-1/3x+5
Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!
what is the estimate value of 976 divide by 0.188
Answers
Answer:
Estimating is used to help predict the answer to a calculation. We use estimation to make calculations more manageable and to give us an idea of the answer. Estimation is used in the construction industry, for example, when buying materials and planning labour.
Answer:
5191.4
Step-by-step explanation:
976/0.188
=5191.4