#1
x=46°(Opposite interior angles)#2
[tex]\\ \sf\longmapsto x+68=180\implies x=180-68=112°[/tex]
#3
x=111°(Corresponding interior angles)#4
x=37°(Opposite angles)#5
x=58°(Opposite interior angles)#6
x=175°(Corresponding interior angles)#7
x=25°(Corresponding interior angles)Answer:
Hey there,
(1) x = 46° ( Alternative angles are equal)
(2) x + 68 = 180 ( Interior angles are added up to 180° )
x = 112°
(3) x = 111° ( Corresponding angles are equal)
(4) x = 37° ( Opposite angles are equal )
(5) x = 58° ( Alternative angles are equal )
(6) x = 175° ( Corresponding angles are equal )
(7) x = 26° ( Corresponding angles are equal )
Hope this helps you
Let me know if you have any other questions :-)
What is the center and radius of the circle?
(x-1)^2 + y^2= 36
Answer:
Center = ( 1, 0)
Radius = 6 units
Step-by-step explanation:
[tex] {(x - 1)}^{2} + {y}^{2} = 36 \\ \\ {(x - 1)}^{2} + {(y - 0)}^{2} = {6}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = 0 \\ r = 6 \\ \\ Center = (h, \: k) = (1, \: 0) \\ Radius \: = 6 \: units[/tex]
if log y=3(log 4 + log x), express y in terms of x. serious answers only please no files or nun of that.
Answer:
The expression is [tex]y = 64 + x^{3}[/tex].
Step-by-step explanation:
Let be [tex]\log y = 3\cdot (\log 4 + \log x)[/tex], the "log" component is refered to logarithms with base 10. By definition of logarithm and its properties, we derive an expression of [tex]y[/tex] in terms of [tex]x[/tex]:
[tex]\log y = 3\cdot (\log 4 + \log x)[/tex]
[tex]10^{\log y} = 10^{3\cdot (\log 4 + \log x)}[/tex]
[tex]y = 10^{3\cdot \log 4}+10^{3\cdot \log x}[/tex]
[tex]y = 10^{\log 4^{3}}+10^{\log x^{3}}[/tex]
[tex]y = 64 + x^{3}[/tex]
The expression is [tex]y = 64 + x^{3}[/tex].
Pleas help! this is very hard!
Answer:
190
72
36
Step-by-step explanation:
Answer:
190
72
36
hope that helps
my question is the picture
Answer:
20 students
Step-by-step explanation:
You first have to add the number of students all up and you get 200.Then you do cross multiplication.
40/200 x s/100=
40x100= 4000=
200xs= 200s=
200s/200=
4000/200=
20=
what is 8 030 070 in words
Answer:
eigth million thirty thousand seventy
Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?
Answer:
Yes, he can buy it for $350 or less
Step-by-step explanation:
330.00 x 4.5%
330.00 x 0.045 = 14.85
330.00 + 14.85 = 344.85
or
330.00 x 1.045 = 344.85
1 Kembangkan setiap yang berikut.
(a) 3x(2 - xy)
(b) (4p + 9(-2)
Answer:
6x*2-3x*2y
4p-18
Step-by-step explanation:
A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total receives were $2414
How many who paid were adults?
How many who paid were seniors?
Answer:
Step-by-step explanation:
Determine the types of tickets involved.
There are student tickets and adult tickets.
Create a table to organize the information.
Type
Number
Value ($)
Total Value ($)
Student
6
Adult
9
1
,
506
Step 2. Identify what you are looking for.
We are looking for the number of student and adult tickets.
Step 3. Name. Represent the number of each type of ticket using variables.
We know the number of adult tickets sold was
5
less than three times the number of student tickets sold.
Let
s
be the number of student tickets.
Then
3
s
−
5
is the number of adult tickets.
Multiply the number times the value to get the total value of each type of ticket.
Type
Number
Value ($)
Total Value ($)
Student
s
6
6
s
Adult
3
s
−
5
9
9
(
3
s
−
5
)
1
,
506
Step 4. Translate: Write the equation by adding the total values of each type of ticket.
6
s
+
9
(
3
s
−
5
)
=
1506
Step 5. Solve the equation.
6
s
+
27
s
−
45
=
1506
33
s
−
45
=
1506
33
s
=
1551
s
=
47
students
Substitute to find the number of adults.
3
s
−
5
=
number of adults
3
(
47
)
−
5
=
136
adults
Step 6. Check. There were
47
student tickets at
$6
each and
136
adult tickets at
$9
each. Is the total value
$1506
?
We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.
47
⋅
6
=
282
136
⋅
9
=
1224
_____
1506
✓
Step 7. Answer the question. They sold
47
student tickets and
136
adult tickets.
how many ounces are equal to 1 1/2 pounds
The temperature was less than -15°C. Write an equality and three possible solution.
Answer:
x < -15*C (I can’t make the degrees sign on my iPad, so I put * instead).
3 Possible Answers:
-38*C
-26*C
-57*C
Step-by-step explanation:
Inequality:
x = temperature
< = less than
-15*C = the amount the temperature was less than
3 Possible Outcomes:
Because the temperature is less than -15*C, it can literally be any number that is farther down the number line. Because it’s a negative number, anything like -14, -13, -12, and so on would actually have a greater value (think of it as in being less in debtm or in this case, less below zero). Instead, you’ll do any number like -16, -17, -18, and so on. You can even do a decimal number, like -19.5. I hope this makes sense to you!
Find the radius of a circle with an area of 1017.36 in?, Use 3.14 for pi
area of a circle = πr², where r = the radius of the circle
We can rearrange the formula to solve for r:
[tex]r=\sqrt{\frac{\mathrm{area}}{\pi}}.[/tex]
Given an area of 1017.36 in² and using 3.14 for our value for π, the radius of our circle would be:
[tex]r=\sqrt{\frac{\mathrm{area}}{\pi}} = \sqrt{\frac{\textrm{1017.36 }\mathrm{in^2}}{3.14}} \\ r = 18 \text{ } \mathrm{in^2}.[/tex]
Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away. Is this an increase or decrease?
Answer:
it is a decrease
Step-by-step explanation:
hope that this helps
also why is this question so easy for a high schooler im in middle school and was able to figure it out
Triangle abc and xyz are congruent ,/_A is one half the size of /_B,/_y is 90° ./_c and /_z each have a measure of 45°.What is the measure of /_ a?
Answer:
∠a = 45°
Step-by-step explanation:
We are told that △abc and △xyz are congruent.
Thus;
∠a = ∠x
∠b = ∠y
∠c = ∠z
We are given;
∠y = 90°
Thus, ∠b = 90°
Now,we are told that ∠a is one half the size of ∠b.
Thus; ∠a = ½ × ∠b
∠a = ½ × 90
∠a = 45°
In ΔFGH, the measure of ∠H=90°, FG = 94 feet, and HF = 73 feet. Find the measure of ∠G to the nearest degree.
Answer:
51
Step-by-step explanation:
x+y=-9. I need help asap! Thank you!
Answer: -5 and -4
Step-by-step explanation:
Answer:
-6, -3
-9, 0
20, -29
-5,-4
etc.
Step-by-step explanation:
There are many. Did they give you any other info???
Topografía. La superficie de una montaña se modela mediante la ecuación ℎ(, ) = 5000 − 0.001 2 − 0.004 2 . Un montañista se encuentra en el punto (500, 300, 4390). ¿En qué dirección debe moverse para ascender con la mayor rapidez?
Respuesta:
(-1, - 2,4)
Explicación paso a paso:
Dada la función:
ℎ (x, y) = 5000 - 0,001x2 - 0,004y2
Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido
H '(x, y) = (dh / dx, dh / dy)
dh / dx = 2 (-0.001x) = - 0.002x
dh / dy = 2 (-0.004y) = - 0.008y
H '(500, 300) = (- 0,002 (500); - 0,008 (300))
H '(500, 300) = (- 1; - 2,4)
Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)
Marcus ate one-half of a pizza with a radius
of 7 inches. If the pizza has 8 calories per square
inch, how many calories did he eat?
Answer:
175.929
Step-by-step explanation:
7pi = area of half of pizza
21.99x8 = calories in half of pizza
i need help can someone help me
the mode is $6.00
thats the number there is the most of
y=6x+4
y=-3-5
how would you find the x and y values?
Step-by-step explanation:
Substitution
substitute -3-5 into y
it becomes -3-5=6x+4
solve the equation to find the answer for X
then substitute the value of X you found again into the equation to find Y
Evaluate the expression for v = 8
V = 8, because it can’t be simplified any further.
Andrew has a monthly cell phone bill. He pays a
monthly fee and a cost per minute. The graph to the
right shows his
cost per month depending on the
minutes used. What is the monthly fee for Andrew's
phone bill?
A. $49
B. $120
C. $60
D. $72
Answer:
C, $60
Step-by-step explanation:
It is where the graph starts even with 0 minutes.
The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression
to represent the width of the rectangle.
Answer:
area(rectangle) = Length * width
8w + 18 = 2 * w
8w + 18 = 2w
Rebecca wants to prove that if the diagonals in parallelogram are perpendicular, then it is a rhombus. Select the appropriate rephrased statement for Rebecca's proof
Answer:
The answer is C
Step-by-step explanation:
Khan Academy
Answer:
C
Step-by-step explanation:
Determine the length of the hypotenuse. Round your answer to the nearest tenth, if necessary.
Answer:
12.7
Step-by-step explanation:
[tex]9^{2}+9^{2}= 162\\\\\sqrt{162}= 12.7[/tex]
At Johnny's Swimwear, 75% of the 100 swimsuit styles are bikinis. How many bikini styles are there?
Answer:
75 swimsuits are bikinis
Step-by-step explanation:
75% as a fraction is 75/100, so 75 of the 100 swimsuits are bikinis.
Answer:
There are 75 bikini styles
Step-by-step explanation:
This is because 75% of 100 is 75 and if there are 100 different styles of swinsuits and 75% of them are bikinis then there are 75 different bikini styles
A and B are both positive integers. which expression is equivalent to -A- (-B) ?
answer choices:
B-A
-A - B
A - B
A + B
The school buses at a middle school each hold 38 students. The school has, b, buses.
Write an equation that shows the total number of students, s, that can be carried by all of its buses.
Answer:
38b = s
Step-by-step explanation:
38 students multiplied by the number of buses = the total number of students that can be carried by bus.
Please lmk if you have questions
Write a number y divided by 6 as an expression.
Answer:
y ÷ 6.
Step-by-step explanation:
An expression is a combination of a number(s) and a variable.
Here, we simply need to write the expression from the word problem in mathematical form.
"Number" is unknown.
Variables are used to represent an unknown value.
(The variable in this expression is y).
The word problem says a number y divided by 6.
This simply means: y ÷ 6.
If there was only one government class, and Wes and Maureen were in that class of 38 students, what would be the probability that both Wes and Maureen would be selected as the two students to go to Washington? Is this still an example of independent events
The probability of an event is 1/19. Therefore, the given situation is not an independent event.
Given that, Wes and Maureen were in the government class of 38 students.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Total number of outcomes =38
Number of favourable outcomes = 2
So, probability =2/38
= 1/19
Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event.
The probability of an event is 1/19. Therefore, the given situation is not an independent event.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ2
Pls help What is the volume of the following pyramid?
Answer:
It is c) 18 cm^3
Step-by-step explanation:
[tex]v = 3 \times 3 \times 2 \\ v = 18 \: {cm}^{3} [/tex]
I hope that is useful for you :)