let the other angle be x degree
bigger angle = x +36°
According to the question,
x+36° + x° = 180°
=> 2x = 180–36
=> x = 144/2
=> x = 72°
Measure of the bigger angle = x + 36
= 72° + 36°
= 108°
Use the discriminant to determine the number and type of solutions the equation has.
x2 + 6x + 12 = 0
two rational solutions
two irrational solutions
no real solution
one real solution
Answer:
no real solutions
Step-by-step explanation:
x² + 6x + 12 = 0
the general solution :
x = (-b ±sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 6
c = 12
the discriminate is (b² - 4ac).
so,
x = (-6 ± sqrt(6² - 4×1×12))/(2×1)
the discriminate is
6² - 4×12 = 36 - 48 = -12
this is negative, so via the square root of a negative number we get 2 complex (imaginary) solutions.
Dilate the figure with the origin as the center of dilation.
(x,y) → (0.5x, 0.5y)
Answer:
see attached
Step-by-step explanation:
The dilation factor of 1/2 moves each point to half its previous distance from the origin.
PLEASE HELP ASAP!! compute and compare the side lengths of the two figures.
Answer:
They are congruent, the side lengths are the same. All that happened was a translation.
Step-by-step explanation:
For a figure to be congruent, it has to be the same size and shape. The size didn't change, just the position.
could u vote me brainliest plz, im trying to level up. thx :)
Which is the value of this expression when m = 3 and n = negative 5?
(6 m Superscript negative 1 Baseline n Superscript 0 Baseline) Superscript negative 3 HELP PLZZ
Answer:
Start Fraction - 1 Over 8 - End Fraction
(6m-1n0) -3
= (6m-1x1) -3
= (6/m) -3
= (m/6) 3
= (3/6) 3
= (1/2) 3
= 1/8
1/8 is your answer. Hope it helps!
Answer:
The answer is 1/8
Write the following expression using an exponent.
1x7x7x7x7x7
Answer:
Think it is x^35
Step-by-step explanation:
Hopefully I didn't misinterpret
Use the graph to complete the statement.
The triangle at the top of the graph is a reflection of the
triangle at the bottom.
Over what line is the triangle reflected?
The triangle is reflected over line _________
Answer:
C
Step-by-step explanation:
I know my reflections =D
Mark as brainliest ;D
Answer:
c
Step-by-step explanation:
100, 50, 0, -50, What is the common difference for the sequence
Answer:
d = - 50
Step-by-step explanation:
common difference is
50 - 100 = 0 - 50 = - 50 - 0 = - 50
A line passes through the origin, and is perpendicular to the line y = –2x + 6. Find the equation of the line.
Step-by-step explanation:
compare the equation with : Y=mX+C
then, for slope of perpendicular equation
m1×m2= -1
As the coordinates lies in origin it is (0,0)
then use the formula of equation of line
There were 20 balloons at the beginning of a party. By the end of the party,n of them had popped. using n, write an expression for the number of the balloons that were left
expression: 20 - n
total balloons = 20popped balloons = nnumbers of balloons left = total balloons - popped balloons
numbers of balloons left = 20 - n
Answer:
20 - n balloons remained
Explanation:
To find how much balloons remained after the party, we need to subtract the number of balloons popped from the total balloons.Finding how much balloons remained:
We know that there were 20 balloons at the beginning of the party and n balloons popped when the party was over.20 - n balloons remained.
Who ever gets it right I will give Brainly and 20 points
Answer:
Circumference of a circle:
c=2πrc=πddistance around a circleArea of a circle:
A=πr²measured in square units(radius) (1/2 circumference)Write the equation of the line that goes through the points (7,3) and (-14,9).
PLEASE HELP
First find slope (m):
[tex]\sf \bold{slope-formula: {\frac{y2-y1}{x2-x1} }}[/tex]
[tex]\rightarrow \sf \dfrac{9-3}{-14-7}[/tex]
[tex]\rightarrow \sf \dfrac{6}{-21}[/tex]
[tex]\rightarrow \sf -\dfrac{2}{7}[/tex]
equation:
y - y₁ = m ( x - x₁ )
[tex]\rightarrow \sf y - 3 = -\dfrac{2}{7} ( x - 7)[/tex]
[tex]\rightarrow \sf y = -\dfrac{2}{7} x +2 +3[/tex]
[tex]\rightarrow \sf y = -\dfrac{2}{7} x +5[/tex]
Consider this expression: 3(3n + 6z)
Enter an expression that shows the sum of exactly two terms that is equivalent to 2(3n+ 6z).
The sum of the expression 70a and 21b is equivalent to 7(10a + 3b).
Step-by-step explanation:
EquationAn equation is an expression that is used to show the relationship between two or more variables and numbers.Given the expression:7(10a + 3b)Opening the bracket:= 70a + 21bThe sum of the expression 70a and 21b is equivalent to 7(10a + 3b).
marco needs to buy some cat food.At the nearest store, 3 bags of food cost 17.25$. How much would marco spend on 6 of cat food?
Well if Marco is spending 17.25 on 3 bags we know that six bags will just be double the 17.25 or 17.25 times two. This means that for six bags Marco will be spending $34.50 to feed his cat.
Lucy makes 5 digit numbers using all these cards
3 4 6 7 9
how meny different numbers greater than 50,000 can she make
The selection of the 5-digit number illustrates arrangements
There are 1875 different numbers greater than 50000
How to determine the numbers?The digits of the 5 digit numbers are given as:
3 4 6 7 9
For the number to be greater than 50000, the first digit must be 6, 7 or 9 i.e. 3 numbers.
The other four digits can be any of the 5 numbers.
So, the count of numbers greater than 50000 is:
Count = 3 * 5 * 5 * 5 * 5
Count = 1875
Hence, there are 1875 different numbers greater than 50000
Read more about arrangements at:
https://brainly.com/question/4658834
9 Consider the expressions (5.9 X 10^6) and (3.2 X 10^4).
Part A
Find the difference of the expressions.
Part B
Find the product of the expressions.
Answer:
I think the answer will be B 1-9x+C=32
Step-by-step explanation:
A stock rises in value from $20 to $40. Then it decreases in value from $40 to $20. Is the percentage increase from $20 to $40 the same as the percentage decrease from $40 to $20? Explain.
Answer:
No
Step-by-step explanation:
To find how much something is a percent of another number, divide it by said other number
20/40 = 0.5
0.5 × 100 = 50%
The first one is a 50% increase
Then, 40/20 = 2
2 × 100 = 200%
It is a 200% decrease
So no, because 50% doesn't equal 200%
Read the screenshot thanks
Answer:
do your self use your brain picture turmtottgejs s
Step-by-step explanation:
ײ8;49☆☆(3) swcond equqtio
its all on the picture giving brainiest and 100 points its also math
#1
(1,2)(2,4)Slope=
[tex]\\ \rm\Rrightarrow m=4-2/2-1=2[/tex]
Equation in point slope form
[tex]\\ \rm\Rrightarrow y-2=2(x-1)[/tex]
[tex]\\ \rm\Rrightarrow y-2=2x-2[/tex]
[tex]\\ \rm\Rrightarrow y=2x[/tex]
Graph attached
#2
(1,3)(2,6)Same like before
Equation of the line:-
[tex]\\ \rm\Rrightarrow y=3x[/tex]
Graph attached
HELPPP Here's a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form.
Answer:
y= 2/3x -1
Step-by-step explanation:
If h(x) = x" for some positive constant a, and
h(27x) = 3h(x) for all positive values of x, what is
the value of a ?
By using the natural logarithm, we will see that the value of a is 0.33
How to get the value of a?
We know that:
h(x) = x^a
And we know that:
h(27x) = 3h(x).
We can rewrite this as:
(27x)^a = 3*(x)^a
And remember that we can distribute exponents, so the left side can be rewritten as:
(27*x)^a = (27^a)*(x^a)
Then we have:
(27^a)*(x^a) = 3*(x)^a
This means that:
27^a = 3
Now remember the rule:
ln(x^n) = n*ln(x)
If we apply the natural logarithm to both sides, we get:
ln(27^a) = ln(3)
a*ln(27) = ln(3)
a = ln(3)/ln(27) = 0.33
If you want to learn more about the natural logarithm, you can read:
https://brainly.com/question/13473114
How can you solve one-step addition and subtraction equations
Answer:
Imagine an example to make it easier. . . I guess.
Step-by-step explanation:
For example:
Molly had 1 cookie.
Leo had 2 cookies.
Leo stole Molly's cookie.
How many cookies does Leo have now?
He has 3 cookies now.
Hope I helped :D
Please consider Brainliest :)
Answer:
Some equations are easy to solve in your head. If the numbers are easy to work with, you just have to figure out what question you need to answer. For example, to solve x + 8 = 12, you have to determine what number can be added to 8 in order to have a sum of 12. In this case, x must be equal to 4.
Other equations, however, are much harder to solve using mental math. Equations that have lots of negative numbers, large numbers, fractions, or decimals can be difficult to solve in your head. That's why there is a system, called an algorithm, for solving these equations.
An algorithm is just a step-by-step process for solving problems. The algorithm for solving equations is based on a very important property called the property of equality, which says that whatever is done to one side of the equation must also be done to the other side.
The algorithm for solving equations has four steps:
Locate the variable.
Determine what operation is being done to the variable.
Do the inverse operation on both sides of the equation.
Check your solution using substitution.
Remember that the goal of solving an equation is to determine what value of the variable will make the sentence true. This means you need to find what the variable is equal to. That's why the first step, although it may seem easy, is so important. You need to start by locating the variable in the equation. Take a look at Ondi's equation from above:
n - 1.4 = 3.7
In this case, the variable is n, and it's on the left side of the equation. That was easy! Now for the second step. Remember that the goal is to figure out what the variable is equal to when it's by itself. So in the second step, you have to identify what is being done to the variable in the equation. If you look at the equation above, you can see that 1.4 is being subtracted from n. The second step is complete!
The third step is when you actually start working with the equation. You're going to do the opposite of what is already being done to the variable. For example, if a number is added, you're going to subtract. If a number is subtracted, you're going to add. This will help you get the variable by itself on one side of the equation. Then you'll know what the variable is equal to!
In the equation, 1.4 is being subtracted from n. So you're going to do the opposite and add 1.4. Remember that the property of equality says that if you do something to one side of the equation, you must do it to the other side as well. Take a look:
n - 1.4 + 1.4 = 3.7 + 1.4
Can you see what is going to happen on the left side of the equation? Subtracting 1.4 and adding 1.4 cancel each other out, leaving you with just n. That's because subtraction and addition are inverse operations, which means they undo each other.
So the left side of the equation simplifies to the variable n. What will happen on the right side? The constants 3.7 and 1.4 will combine to give you 5.1.
n = 5.1
The fourth and final step of the algorithm is to check the solution using substitution. Substitute the value of 5.1 in for n in the original equation to see if the sentence is true:
n - 1.4 = 3.7
5.1 - 1.4 = 3.7
3.7 = 3.7
Yes! This statement is true, so the solution is correct!
Step-by-step explanation:
Hope this helped you!
Find the distance from point L to point M, if the point L has coordinates (-10,-9)
and the point M has coordinates (-2,6).
Answer:
The distance from point L to point M is 17
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x1,y1) and B(x2,y2), the distance between them is calculated as follows:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Point L has coordinates (-10,-9) and point M has coordinates (-2,6).
Calculate the distance between L and M:
[tex]d=\sqrt{(6+9)^2+(-2+10)^2}[/tex]
[tex]d=\sqrt{15^2+8^2}[/tex]
[tex]d=\sqrt{225+64}=\sqrt{289}[/tex]
[tex]\boxed{d=17}[/tex]
The distance from point L to point M is 17
Select the expression that has a value of 15.
4 + (8 x 4) ÷ 6 + 7
(4 + 8) x 4 ÷ 6 + 7
4 + 8 x 4 ÷ (6 + 7)
(4 x 8 x 4) ÷ 6 + 7
Answer:
Second option
Step-by-step explanation:
We will use the process of elimination to find the answer:
First option:
[tex]4+(8\times4)\div6+7[/tex]
[tex]8\times4=32[/tex]
[tex]4+32\div6+7[/tex]
[tex]4+32=36[/tex]
[tex]36\div6+7[/tex]
[tex]36\div6=6[/tex]
[tex]6+7=13[/tex]
[tex]=13[/tex]
Second option:
[tex](4+8)\times4\div6+7[/tex]
[tex]4+8=12[/tex]
[tex]12\times4\div6+7[/tex]
[tex]12\times4=48[/tex]
[tex]48\div6+7[/tex]
[tex]48\div6=8[/tex]
[tex]8+7=15[/tex]
[tex]=15[/tex]
Which means your answer is the second option or "4 + (8 × 4) ÷ 6 + 7."
Hope this helps.
Answer:
B
Step-by-step explanation:
A soccer ball is kicked and travels 25 meters to the north in 2.5 seconds. At what velocity is the ball traveling?
62.5 m north
62.5 m/s north
10 m
10 m/s north
if u answer u will get brainlist :)
Answer:
24.4 > 24.34
Step-by-step explanation:
Tenth place value can be any number more than the tenth value in 24.34.
In the decimal number 24.34, the tenth value is 3. So, it should be more than 3
Options can be any one of these
24.4 or
24.5 or
24.6
Answer:
Values (tenths) that would make the number comparison 24._ > 24.34 true would be:
- 4
- 5
- 6
24.40 > 24.34
24.50 > 24.34
24.60 > 24.34
All other options provided would make the left side of the comparison less than the right side of the comparison.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
6-3x=5x-10x+20. What is the value of x?
Answer:
X=2
Step-by-step explanation:
Because it that is the answer
Insert 2 sets of parentheses to make each sentence true: 2 x 14 – 9 – 17 – 14 = 7
Answer:
- 12
Step-by-step explanation:
2x14= 28
28-9=19
19-17=2
2- -14= - 12
If you place a 39-foot ladder against the top of a building and the bottom of the ladder is 31 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
The height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.
What is Pythagoras theorem?
Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle. The sides of the right triangle are also called Pythagorean triples.
Here, length of ladder (Hypotenuse) is 39 ft
distance from building (base) is 31 ft.
By Pythagoras Theorem,
[tex]Hypotenuse^{2} = perpendicular^2 + Base^2[/tex]
[tex]39^2 = P^2 + 31^2[/tex]
[tex]P^2 = 39^2 - 31^2[/tex]
[tex]P^2 = (39+31)(39-31)[/tex]
[tex]P^2 = 70 X 8[/tex]
[tex]P = \sqrt{560}[/tex]
P = 23.6 ft ≈ 24 ft.
Thus, the height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.
Learn more about pythagoras theorem from :
https://brainly.com/question/343682
#SPJ1
please help???????? ASAP
Answer number 8 please
Answer:
1/3
Step-by-step explanation:
The cone is three inches and the radius in one inch