Answer/Step-by-step explanation:
Given:
m<6 = 40°
Required:
Measure of all the other numbered angles
Solution:
Since line a is parallel to line b, therefore:
✔️m<1 = 180° - m<6 (supplementary angles)
m<1 = 180° - 40° (substitution)
m<1 = 140°
✔️m<2 = m<6 (corresponding angles)
m<2 = 40° (substitution)
m<3 = 180° - m<6 (same side interior angles are supplementary)
m<3 = 180° - 40° (substitution)
m<3 = 140°
✔️m<4 = m<6 (alternate interior angle)
m<4 = 40°
✔️m<5 = 180° - m<6 (linear pair)
m<5 = 180° - 40°
m<5 = 140°
✔️m<7 = m<5 (vertical angles)
m<7 = 140°
✔️m<8 = m<6 (vertical angles)
m<8 = 40°
If a(x) = 3x + 1 and b(x)= VX-4, what is the domain of (bºa)(x)?
0 (-0,00)
0 (0.00)
O [1,00)
O [4,00)
The domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex].
How to apply composition between functions
The composition of two functions consists in replacing the variable of the former function ([tex]b(x)[/tex]) by the latter function ([tex]a(x)[/tex]). If we know that [tex]b(x) = \sqrt{x-4}[/tex] and [tex]a(x) = 3\cdot x +1[/tex], then the composite function:
[tex]b\,\circ\,a \,(x) = \sqrt{(3\cdot x+1)-4}[/tex]
[tex]b\,\circ\,a\,(x) = \sqrt{3\cdot x-3}[/tex] (1)
Since the composite function is a square root function, then the domain fulfill the following inequation:
[tex]3\cdot x -3 \ge 0[/tex]
[tex]x \ge 1[/tex]
Hence, the domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex]. [tex]\blacksquare[/tex]
To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372
What’s the a and b from the quadratic function
Answer: a=1 b=-4
Step-by-step explanation:
Apply the equation y= a^2+bx+c
A comedian is planning to make his show more appealing by telling three jokes at the beginning of each show. He has been booked in a bar for the next three months. If he gives one performance a night, and he never wants to repeat the same set of jokes on any two nights, what is the minimum number of jokes he needs to prepare?
Answer:
135 jokes
Step-by-step explanation:
3 months = 90 days
90/2 = 45 days of new jokes
45 days x 3 jokes per day = 135 jokes
ASAP: #43. Find the area of triangle ABC given A = 42.5°, b = 13.6, c = 10.1 (Draw a triangle, give answer to nearest tenth!)
Correct answer gets marked brainliest:)
Answer:
The area of a triangle A = 46.399 square units
Step-by-step explanation:
Explanation:-
Given that ΔABC
Given ∠ A = 42.5° and sides b= 13.6 and c =10.1
The area of a triangle
[tex]A = \frac{1}{2} b c sin A[/tex]
[tex]A = \frac{1}{2} 13.6(10.1) sin 42.5[/tex]
[tex]A = \frac{1}{2} 137.36(0.67559)[/tex] (∵ sin (42.5)° = 0.67559
A = 46.399 square units
An equilateral triangle with side lengths of 10 units is translated 4 units to the right. What is the length of one side of the triangle
after translation, in units?
Answer:
43.301
Step-by-step explanation:
At a local ballpark a team charges $10 per ticket the team must pay its players $4000 it costs the owner $6 for each souvenir they gave away how many tickets must be sold to break even
Answer:400
Step-by-step explanation:it didn’t say it gives away and souvenirs so the 6$ can be out the equation and 4000 divided by 10 is 400
The number of tickets that must be sold to break even is 1000 if at a local ballpark a team charges $10 per ticket the team must pay its players $4000.
What is 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.
The question is incomplete.
The complete question is:
At a local ballpark, a team charges $10 per ticket. The team must pay its players $4000. It costs the owners $6 for each souvenir they give away.
How many tickets must be sold to break even.
Let x be the number of tickets.
Let y be the total cost
From the data given in the question we can frame the linear equation in two variables:
y = 6x + 4000
y = 10x
After solving the above two linear equations in two variables.
6x + 4000 = 10x
10x - 6x = 4000
4x = 4000
x = 1000
Thus, the number of tickets that must be sold to break even is 1000 if at a local ballpark a team charges $10 per ticket the team must pay its players $4000.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
ABCD is a rectangle. If AC = 2x + 10 and BD = 56, find the value of x.
Group of answer choices
33
23
78
122
Help!
9514 1404 393
Answer:
(b) 23
Step-by-step explanation:
The diagonals of a rectangle are the same length, so ...
AC = BD
2x +10 = 56
x +5 = 28 . . . . . divide by 2
x = 23 . . . . . . . . subtract 5
The volume of a rectangular prism can be represented by the expression 216x^3y^2. If the length is 8 y and the width is 9 x , what is the height of the rectangular prism?
2 x^2y
2 x^3y^2
3 x^2y
3 x^3y^2
Answer:
h= 216x^3y^2÷(8yx9X) = 3x^2y
Let p: The kitchen is clean.
Let q: The bedroom is clean.
Which statement iS true if the kitchen is clean but the bedroom is not clean?
• If p is true, then q is true.
• Statement q if is true if and only if p is true.
• Both p and q are true.
• Statement p or q is true.
Answer:
the last one would be the answer as we know the kitchen is clean so it might be some if true
by how much is the product of 2 1/2 and 2/5 less than 4
Answer:
3
Step-by-step explanation:
QUESTION IN THE PHOTO
Answer:
ans is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
a que fraccion es equivalente 2 1/3
Answer:
Step-by-step explanation:
2 = 6/3
2⅓ = 6/3 + 1/3 = 7/3
Please help me solve these questions
Answer: D
Step-by-step explanation:
√8=2√2
and i cant see the first problem
Help due in 1o mins!!!
Answer:
c = 15
Step-by-step explanation:
The angles are4 a linear pair and are supplementary, so the sum of their measures is 180 deg.
7c - 7 + 6c - 8 = 180
13c - 15 = 180
13c = 195
c = 15
HELP ME DO THIS PROBLEM PLEASE PLEASE
Answer:
p=1
Step-by-step explanation:
5p=p+4
5p-p=4
4p=4
p=1
5p=5×1=5
p+4=1+4=5
p+16=1+16=17
17p=17×1=17
En la promoción “La tómbola del descuento” de una tienda de autoservicio los clientes obtienen distintos descuentos por sus compras. Si Alma pagó $160.00 por un artículo cuyo precio original era de $200.00, ¿de cuánto fue el descuento que obtuvo en la tómbola?
Respuesta:
el descuento fue de 20%
NEED ANSWER ASAP 100 POINTS
Given:
Event A : the card has the number 8
Event B : the card is blue
The probability of each events are given as:
P (A) = 1/10
P (B) = 1/4
P(A and B) = 1/10 x 1/4 = 1/40
From thea above information, we can see that the outcome of the event A cannot affect the outcome of the event B.
Therefore, the two events are independent.
Given:
Event A : the card has the number 8
Event B : the card is blue
The probability of each events are given as:
P (A) = 1/10
P (B) = 1/4
P(A and B) = 1/10 x 1/4 = 1/40
From thea above information, we can see that the outcome of the event A cannot affect the outcome of the event B.
Therefore, the two events are independent.
The number of bacteria in a certain population increases according to a continuous exponential
growth model at a rate of 8.1% per hour. There are 1800 bacteria at t = 0.
Write an equation that gives the number of bacteria after t hours.
Answer:
Step-by-step explanation:
Simplify the following expression. 3 ^11/5 dived 3-^9/5
Answer:
81 is the answer cause u just have to aolve the 3^11^5 first ana comes and divide with the answer ot 3^-9/5.
Which of the following must be true if the triangles are congruent?
AB II DC
AB I BC
DB bisects ABC
None of the statements above must be true.
Answer:
Third option is the correct answer
Step-by-step explanation:
[tex] \overline {DB} \:bisects \:\angle ABC[/tex]
1. Find the unit rate per sandwich. Round to the
nearest hundredth if necessary: $210 for 50
sandwiches.
Answer:
$4.20
Step-by-step explanation:
You take 210 and divide it by 50 and then it equals out to $4.20. Hope this helps! <3
The radius of a circle is 3 yards. What is the circle's circumference?
Answer:
18.85
Step-by-step explanation:
2(3.14)(3)
You have a bid of $250 per room for 180 guest rooms. You want to comp 12 rooms for the upcoming teacher convention. What is your average room rate across the paid and free rooms? Round to the nearest dollar.
a) $234
b) $244
c) $250
d) $254
Answer:
C
Step-by-step explanation:
I really need help omgggggggg
Answer:
The 3rd one Abc is a congeuent
needhelp
select the correct answer
what are the ratios equvialnt to each other
a 1:6 and 2:9
b 2 :23 and 4:8
c 1:64 and 4:16
d 1:16 and 4:64
5.2 × _______ = 5.2 whats the answer
Answer:
1
Step-by-step explanation:
Please help with this problem
Answer:
Step-by-step explanation:
you can think they come in pairs :
3 crates and 5 boxes = 8 (crates +boxes)
40 (crates+ boxes) are maximum to be hold so we can have 40/8 = 5 such pairs
the truck can hold
3 *5 = 15 crates and 5 *5 =25 boxes
I NEED HELP WITH THIS
Answer:
its A and C and D
Step-by-step explanation:
HELP LIKE ASAP
A circular rug has a radius of 4.5 feet. What is the circumference of the rug? Use 3.14 for Pi and round to the hundredths place.
14.13
28.26
44.37
88.74
Answer:
B
Step-by-step explanation:
Answer:
The answer is b. 28.26
Step-by-step explanation:
I got it right on the test edg 2021.
HL criteria of congruence can be used only with?