Answers
Answer:
The measure of each angle is :
3x° = 33°
(5x+2)° =57°
Step-by-step explanation:
From the diagram, angle <ABC is a right-angle triangle with a measure of 90°
This means the sum of the two angles <ABE + <CBE =90°
Given from the question :
<ABE = 3x°
<CBE = (5x+2)°
For an equation for sum of the two angles as;
<ABE + <CBE =90°
3x° + (5x+2)° = 90° ------collect like terms after opening the brackets
3x° +5x° + 2° =90°
8x°=90°-2°
8x°=88°
x°=88°/8° = 11°
Measure of the angles will be:
<ABE = 3x° = 3*11° = 33°
<CBE = (5x+2)° = (5*11° +2° ) =55°+2°= 57°
Answers are :
3x° = 33°
(5x+2)° =57°
Related Questions
physics convention 11 companies set up equal sized square booths in a row along one wall of a convention center.The booths are adjacent to each other and a 2-ft wide walkway surrounds the block of booths on three sides. The total area of the booths and walkway is 1200 ft^2. What is the side length of each booth?
Answers
Answer:
Side length of each booth is 8.35 ft approximately.
Step-by-step explanation:
There are 11 companies set up equal sized square booths in a row along one wall of a convention center.
Now, refer the diagram to answer the problem.
It is given area is 1200.
So, length x width =1200
(11x+24)(x+2)=1200
Multiply using FOIL method.
[tex]11x^{2}[/tex]+22x+24x+48=1200
[tex]11x^{2}[/tex]+46x+48-1200=0
[tex]11x^{2}[/tex]+46x-1152=0
Solve using quadratic formula
x=[tex]\frac{-46+/- \sqrt{46^{2}-4(11)(-1152 } }{2(11)}[/tex]
x=[tex]\frac{-46+/-\sqrt{2116+50688} }{22}[/tex]
x=[tex]\frac{-46+/-\sqrt{52804} }{22}[/tex]
Simplify it
[tex]x=\frac{-49+/- 229.79}{22}[/tex]
Simplify to get two values for x.
x=8.35; x=-12.67
Here negative does not work.
Side length of each booth is 8.35 ft.
What direction will the parent graph move if... f(x - 6) = (x - 6)
Answers
Going from f(x) = x to g(x) = f(x-6) = x-6 will move the graph 6 units to the right.
Effectively replacing x with x-6 shifts the xy axis 6 units to the left, giving the illusion the function curve shifts 6 units to the right.
Answer: shifts 6 units to the right.A coordinate plane with 4 lines. The first line is labeled a(x) and passes through (2, negative 4) and (0, 2) and continues past (negative 1, 5). The second line is labeled f(x) and passes through (negative 6, negative 6), (negative 3, 0), and (0, 6). The third line is labeled g(x) and passes through (negative 2, negative 7), (0, negative 3), (1, negative 1) and (2, 1). The fourth line is labeled h(x) and passes through (negative 6, negative 6), (0, negative 3), and (6, 0). When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario? a(x) f(x) g(x) h(x)
Answers
Answer:
the answer is g(x)
Step-by-step explanation:
Answer:
G(x)
Step-by-step explanation:
I just did the assignment.
Is 2x+5=10 an example of an expression? Why or why not? If not, what would you call it instead?
Answers
Answer:
No; equation
Step-by-step explanation:
2x+5 = 10 is not an expression rather it's an equation because it has an equal sign. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
mnnchddhxgijzdzjdzfjdzurizfzifzirzzfizdi
How many feet did Mike descend (go down) in the last three hours of his hike?
Answers
Answer: Mike descended 3000 feet
Step-by-step explanation: Hope this helps.
Answer:
3000 feet
Step-by-step explanation:
Translate the statement into an algebraic inequality. The quotient of a number and five is no greater than negative nine.
Answers
Answer:
[tex]\frac{x}{5} < -9[/tex]
Step-by-step explanation:
Let x be the number
"The quotient of a number and five" means the answer of x divided by five"Is no greater than negative nine" means is less than -9Put them together: [tex]\frac{x}{5} < -9[/tex]I hope this helps!
last question please helpp me:))))
Answers
Answer:
blue
Step-by-step explanation:
blue
Answer:
Step-by-step explanation:
PLZ NEED HELP ASAP. Find the missing values for the table.
Answers
Answer:
candy 7
packs 5
Step-by-step explanation:
Answer:
Option A!
Step-by-step explanation:
Hey there!
To figure out the ratio of candies per packs, we divide 21 (candy) by packs (3) and we get 7. This means that there are 7 candies per pack! So, in 1 pack, there are 7 candies and when there are 35 candies, we divide 35 by 7 and get 5.
So, in one pack there are 7 candies and there are 35 candies in 5 packs.
Option A. Candy: 7 Packs:5
If my answer helped, please rate it and give it a Thanks!
Have a great day!
Which of the diagrams below represent a function from X to Y
Answers
Answer:
d
Step-by-step explanation:
because it is a one to one relation
The answer is d., its the only one that isnt x to 2 y's or y to 2 x's
How do you write 2.14 x 10^-5 in standard form by moving the decimal point?
Answers
Answer:
21.4 * 10^(-5)
[tex]\\ \sf\longmapsto 2.14\times 10^{-5}[/tex]
Cancel 1 by 1[tex]\\ \sf\longmapsto 0.214\times 10^{-4}[/tex]
[tex]\\ \sf\longmapsto 0.0214\times 10^{-3}[/tex]
[tex]\\ \sf\longmapsto 0.00214\times 10^{-2}[/tex]
[tex]\\ \sf\longmapsto 0.000214\times 10^{-1}[/tex]
[tex]\\ \sf\longmapsto 0.0000214[/tex]
f(x) = 8x - 11
f(9) =
Answers
Answer:
61
Step-by-step explanation:
hi! we can start off by plugging in the number 9 for x in the equation.
f(x)=8x-11)
f(9)= 8(9)-11
= 72-11
=61
hope this helps.
Replace the x in the equation with the nine. F(9) = 8(9) - 11
Now first multiply 8 x 9 which is 72
Now you have F(9) = 72 - 11
Subtract the two numbers.
F(9) = 61
what is a point that must lie on the line representing a proportional relationship with a proportionality constant of 8.
Answers
Answer:
linear equation?
Step-by-step explanation:
Can some one help? I need help asap.
Answers
Answer:
8x² - 27x + 20
Step-by-step explanation:
Given
4x(2x - 3) - 5(3x - 4) ← distribute both parenthesis
= 8x² - 12x - 15x + 20 ← collect like terms
= 8x² - 27x + 20 ← in standard form
Answer:
-19x+20
Step-by-step explanation:
So we need to simplify this the first step is
4x(2x-3) The first part of the equation
4x(2x) - 4x(3)
8x -12x
-4x
then the second part
-5 (3x-4)
-5(3x)+20
-15x+20
add togeter
-4x-15x
-19x
-19x+20
5(-7)-2(-7+3)^2 I know the answer but I need the steps!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
5(-7)-2(-7+3)^2
=-35 - 2(-4)^2
=-35 - 2x16
=-35 - 32
=-67
Am i right? :o
find the labeled angles
Answers
Answer:
X = 25, Angles are 65 degrees
Step-by-step explanation:
3x-10 = x+40
2x=50
x=25
What is
1. -2(n-9)+4
2. 6x - (2 - 3x)
Answers
Answer:
1) -2n + 22
2) 9x - 2
Step-by-step explanation:
1. -2(n-9)+4
-2n + 18 + 4
-2n + 22
2. 6x - (2-3x)
6x - 2 + 3x
9x - 2
I don't understand (I'm getting a tutor)
Answers
Step-by-step explanation:
draw the last one by yourself.
im sure you can do it buddy.
good luck♥️♥️♥️♥️♥️.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
PLS HELP THIS IS DUE IN LIKE ONE HOUR
Answers
Answer:
g(f(-10)) = -22
General Formulas and Concepts:
Compositions of FunctionsOrder of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
f(x) = 3x + 10
g(x) = x - 2
f(-10) is x = -10
Find g(f(-10))
Step 2: Solve:
Find f(-10). Substitute: f(-10) = 3(-10) + 10Multiply: f(-10) = -30 + 10Add: f(-10) = -20Substitute: g(-20) = -20 - 2Subtract: g(-20) = -22Indiana’s population has increased by 9.5% since 2000, when it was about 6 million people. What is Indiana’s population now?
Answers
Answer:
The answer is 3,166.7
Step-by-step explanation:
2,000*9.5 = 19,000
19,000/6 = 3,166.6666
Pls help asap if u can :((
Find the values of the unknowns.
Each pair of lines are parallel to each other.
a. 2x - y = 4 and ax - 3y = 3
The value of a: _____
b. x + 2y + 1 = 0 and 3x + ky = 1
The value of k: ____
C. 4x - py - 1 = 0 and -px + y - 2 = 0
The value of p: _____
pls help im so bad at this :(
Answers
Answer:
a id equal to 6
k is equal to 6
p is equal to 2 and -2 both
What temperature does the thermometer show?
Answers
it goes up by 2 each small line
2.
+
14. -8+(-8) + (-9)
10
Answers
Sam is a manager in an office
Answers
Answer:
Sorry but this is not really a question so we can't answer it
Solve for r.
55°
6x + 1
Answers
Answer:
.6r + 1 = 556r = 55-16r = 54divide 6 both sides.r = 9Kareem earns y dollars per month at his accounting job. Express his annual salary using
the K abbreviation found in classified ads.
Answers
Answer:
0.012yK
Step-by-step explanation:
[tex]\frac{y*12}{1000} K[/tex] > K=1,000
12 divided by 1000 is 0.012.
The required annual salary for Kareem is 0.012yK.
Given that,
Kareem earns y dollar per month at his accounting job. Express his annual salary using the K abbreviation found in classified ads is to be determined.
The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
$1 K = $1000 (for a year)
Since salary for a month is y
Salary for a year = 12 * y
Transforming it into K abbreviation
Multiplied and divide by 1000 on the right side
Annual salary = 12 y 1000 /1000
= 12/1000 * y K
= 0.012yK
Thus, the required annual salary for Kareem is 0.012yK.
Learn more about fractions here:
brainly.com/question/10708469
#SPJ5
What is the coordinate of M?
Answers
Answer:
(3, 2)
Step-by-step explanation:
no explanations; just use the graph on the picture.
Brad jarred 12 liters
of jam after 2 days.
How much jam did
Brad jar if he spent 3
days making jam?
Answers
12 divided by 2 is 6.
We know each day Brad jars 6.
6 x 3 = 18
Answer:
18 liters
Step-by-step explanation:
We can use ratios to solve
12 liters x liters
----------- = -----------
2 days 3 days
Using cross products
12 *3 = 2x
36 =2x
Divide by 2
36/2 = 2x/2
18 =x
18 liters
Please help me, I am, tired.
Show all work to solve 3x^2 − 5x − 2 = 0.
If you answer, please tell me the reason for your steps. I've fallen behind in Algebra and need visuals to finally understand.
Answers
Answer:
(2,0) and (-1/3,0)
x = 2
x = -1/3
Step-by-step explanation:
Hi there!
You'll notice that this equation is a quadratic. When graphed, this equation looks like a parabola that crosses the x-axis at two points, which can be written as ordered pairs with an x value and a y value.
We know that both of these points will have a y value of 0, but we don't know what the x values of the points are—these are what we want to find.
(Check out the graphing program Desmos—type in your equation and it will graph it out for you.)
Notice that your equation follows this structure:
[tex]ax^2+bx+c=0[/tex]
In our case,
[tex]a=3\\b=-5\\c=-2[/tex]
We can plug our values of a, b, and c into the quadratic equation to find the two x values.
I've attached a picture of my work. At the top is the quadratic equation. I substituted our values in and solved.
You'll notice that the answer I ended up with has a ± symbol. We have to simplify this down two different ways to get our two answers: once using the plus sign, once using the minus sign. This will give us two different values for x.
We'll start with the plus sign:
[tex]\frac{5+7}{6} \\=2[/tex]
So: one of our x values is 2.
Now the minus:
[tex]\frac{5-7}{6} \\=-\frac{1}{3}[/tex]
Our other x value is -1/3.
You can check to make sure these answers work by plugging them back into the original equation for x. If they work, the left side of the equation should boil down to 0.
Let me know if you have any other questions! Best of luck with getting caught up in Algebra!
An adult blue whale can eat about 40,000,000 krill a day. Write this number in scientific notation.
Answers
Answer:
4 x 10^7
Step-by-step explanation:
1 x 10^7 is 10 million, just multiply that 1 by 4 to get your answer
Answer:
4 x 10^7
Step-by-step explanation:
What is the decimal form of 45/120
Answers
Answer: 37.5 or 0.375
Step-by-step explanation:
to write 45/120 as a decimal you have to divide the numerator by the denominator of the fraction. we divide now 45 by 120 what we write down as 45/120 and get 0.375
Hope this helped!
