Answer:
see explanation
Step-by-step explanation:
∠ 1 and ∠ 8 , ∠ 2 and ∠ 7 are alternate exterior angles
They are on opposite sides of the transversal and outside the parallel lines
Given ∠ 1 = 60° , then
∠ 8 = 60° ( alternate exterior angles are congruent )
Answer:
1. <1 and <8
< 2 and <7
2. 60°
Step-by-step explanation:
1. When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles.
2. If two parallel lines are cut by a transversal, then the alternate exterior angles formed are congruent.
Congruent angles are angles with the same measurement.
x + 3 = 5. Find the value of x.
Answer:
2
Step-by-step explanation:
=> x + 3 = 5
=> x = 5-3
=> x = 2
Answer:
x=2
Step-by-step explanation:
x=5-3
x=2
value of x is 2
Find the sum
(-4) + 2/3
Answer:
[tex]-3\frac{1}{3}[/tex]
Step-by-step explanation:
---------------------------------------
Given:
[tex](-4)+\frac{2}{3}[/tex]
--------------->>>>
Make the denominators the same.
[tex](-4*\frac{3}{3} )+\frac{2}{3}=[/tex]
--------------->>>>
Multiply inside the parenthesis.
[tex]-\frac{12}{3} +\frac{2}{3}=[/tex]
--------------->>>>
Join the denominators.
[tex]\frac{-12+2}{ 3}=[/tex]
--------------->>>>
Add the numerators.
[tex]-\frac{10}{3}[/tex]
--------------->>>>
Convert to mixed fraction.
[tex]-3\frac{1}{3}[/tex]
---------------------------------------
Hope this is helpful.
Answer:
-10/3.
Step-by-step explanation:
(-4). 2
----- + ------
1 3
we have to make the denominator same:
so.,
-4. ×. 3. -12
---- ---- = ------
1. ×. 3. 3
-12 2. -12+2
---. + ---- =. -----------
3. 3. 3
-10
=. ----
3
can anyone help me here asapp,, I am in this question for nearly an hour
Answer:
See below
Step-by-step explanation:
Let side AB equal x. Since triangle ABC is equilateral, sides AB, BC, and Ac are all the same length, x. In any isosceles triangle(equilateral is a type of isosceles triangle) the median is the same as the altitude and angle bisector. This means we can say that AD is also a median. A median splits a side into two equal sections, so we can say BD = DC = x / 2. We are given that DC = CE, so we can also say CE = DC = x / 2. Now, we can use the pythagorean theorem to find the length of AD. So we get the equation:
AB^2 - BD^2 = AD^2
We have the values of AB and BD, so we can substitute them and solve for AD:
x^2 - (x/2)^2 = AD^2
x^2 - x^2 / 4 = AD^2
AD^2 = 3x^2 / 4
AD = x√3 / 2
DE is equal to the sum of DC and CE because of segment addition postulate, so we can say DE = DC + CE = x / 2 + x/ 2 = x. We can again use the pythagorean theorem to find the length of AE:
AD^2 + DE^2 = AE^2
(x√3 / 2)^2 + x^2 = AE^2
3x^2 / 4 + x^2 = AE^2
AE^2 = 7x^2 / 4
AE = x√7 / 2
Now, we know(from before) that AE squared is 7x^2 / 4. We can say EC squared is x^2 / 4 because EC is x / 2 and x / 2 squared is x^2 / 4. We can also notice that AE squared is 7 times EC squared because 7x^2 / 4 = 7 * x^2 / 4
Therefore, we can come to the conclusion AE^2 = 7 EC^2
18
Select the correct answer.
Which function is a horizontal translation of the parent quadratic function, f(x)=x^2
A. j(x)= x^2- 4
B. g(x)= (x-4)^2
C. k(x)= -x^2
D. h(x)= 4x^2
Answer:
B
Step-by-step explanation:
When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function
With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it
Thus;
f(x) = x^2 would be;
g(x) = (x-4)^2
Corresponding to a shift to the right of upto 4 units on the x axis
Answer:
g(x)= (x-4)^2
Step-by-step explanation:
Plato/Edmentum
HURRY NEED ASAP TRYNA FINISH SUMMER SCHOOL LOL, I WILL MARK BRAINLIEST :)) PICTURE IS THERE FOR U
Answer:
B.
Step-by-step explanation:
Since the numbers in the root is all the same, lets say [tex]\sqrt{2}[/tex] is a variable.
7x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex] + x[tex]\sqrt{2}[/tex]
Group with like terms:
7x[tex]\sqrt{2}[/tex] + x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex]
Combine like terms:
8x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex]
There you have it! Since all the square roots are the same thing, we can treat them like variables.
the answer is B..................
Question 22 (5 points)
If the legs of a right triangle are 20 units and 21 units, what's the length of the
hypotenuse?
29 units
4.4 units
6.4 units
22 units
through my working i got to 41² is the hypotenuse.
21²+20²=c²
factor out the square
(21+20)²=c²
41²=c²
and 41² is 1681
Answer:
29 units
Step-by-step explanation:
i just took the quiz
What is
the vertex of this
absolute value
function?
Answer:
C
Step-by-step explanation:
The vertex is the point where the 2 lines meet on the V shape
The vertex is at (3, 2 ) → C
Answer:
Option c is the answer I think so if the answer is correct plz mark me as brainliest
A big box can hold 12 marbles and a small box can hold 5 marbles. There are a total of 99 marbles. How many big boxes are there?
Answer:
7 cajas grandes y 3 cajas pequeñas
Step-by-step explanatio:
Answer qn in attachment
Answer:
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Step-by-step explanation:
The given expression to us is ,
[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]
Now take the LCM as ( x - 1 ) and Simplify , we have ,
[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]
Simplifying further , we get ,
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Hence the second option is correct .
Step-by-step explanation:
[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1) - 2}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2 - 2} \\ = \frac{7 - 4x}{2x - 4} = \frac{ - 4x - 7}{2(x - 2)} \\ thank \: you[/tex]
[tex]option \: b \\ thank \: you[/tex]
Can someone help me with this math homework please!
Answer:
-7x and -2x
Step-by-step explanation:
because -7x and -2x are on the same side of the equation. the equal sign in the equation, -7x+12-2x = 23+13x is basically a different way of writing -7x+12-2x and 23+13x.
they're kind of like 2 separate equations. hope this helped! :)
The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.
What is the equivalent equation solved for h?
StartFraction StartFraction p Over m EndFraction Over g EndFraction equals h. = h
StartFraction p Over m g EndFraction equals h.= h
Pmg = h
StartFraction p Over StartFraction m Over p EndFraction EndFraction equals h. = h
The equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]
Subject of FormulaFrom the question, we are to determine the equivalent equation solved for h
From the given information,
The amount of potential energy, P, is modeled by the equation
P = mgh
To determine the equivalent equation solved for h, we will make h the subject of the equation,
From,
P = mgh
Divide both sides of the equation by mg
That is,
[tex]\frac{P}{mg} = \frac{mgh}{mg}[/tex]
∴ [tex]\frac{P}{mg} = h[/tex]
Hence, the equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]
Learn more on Subject of formula here: https://brainly.com/question/24155675
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Answer
B
Step-by-step explanation:
Edge 2022
A recipe for a soup calls for 2/4 cup of chopped onion and 1/5 cup of chopped
celery. What is the total amount of celery and onion needed for the soup?
Answer:
The total amount of celery and onion needed for the soup is 7/10 cup.
Step-by-step explanation:
2/4 + 1/5 = 7/10 cup.
hope it helped :)
mark me brainliest!
Find the HCF of:
3x and 6x.
Answer:
3x
Step-by-step explanation:
We need to find the HCF of given two numbers .HCF is the Highest Common factor for two or more than two numbers . The given numbers are ,
[tex]\implies Numbers = 3x \ and \ 6x [/tex]
Let's factorise the numbers , we get .
[tex]\implies 3x = 3 \times x [/tex]
[tex]\implies 6x = 3\times 2 \times x [/tex]
The common factors are 3 and x . Therefore the HCF is 3 × x = 3x .
[tex]\implies\underline{\underline{ HCF = 3x }}[/tex]
given the figure below, what is the value of x?
Answer:
x = 6
Step-by-step explanation:
6 is x so this is the answer
Help..................
Answer:
IJKUKOKLIOLIOOOIOLI
Step-by-step explanation:
IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO
What is the value of x?
Enter your answer, as a decimal, in the box.
Answer:
x = 50.6
Step-by-step explanation:
Find (f9)(x).
A.
B.
C.
D.
Answer:
(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)
Step-by-step explanation:
Mathematically;
(fg)(x) = f(x) * g(x)
so we have;
4x^2 +x^4 * √(x^2 + 4)
But √(x^2 + 4) = (x^2 + 4)^(1/2)
So we have;
(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)
Find the equation of a circle with a center at (0, -4) and a point on the circle is (6, 0).
Answer:
[tex]x^2 + ( y + 4)^2 = 52[/tex]
Step-by-step explanation:
Equation of circle with center (a , b) and radius, r is :
[tex](x -a)^2 + ( y -b)^2 = r^2[/tex]
Given : a = 0 , b = - 4
Step 1 : Find the radius.
Given ( 6 , 0 ) lies on the circle. Therefore the distance between the center (0 , - 4) of the circle and ( 6 , 0 ) gives the radius of the circle.
[tex]r = \sqrt{( 0 - 6)^2 + ( -4 - 0)^2} \\\\[/tex]
[tex]= \sqrt{ 36 + 16 } \\\\= \sqrt{52}[/tex]
Step 2 : Equation of circle.
[tex](x - 0)^2 + (y -( - 4))^2 = (\sqrt{52})^2\\\\x^2 + ( y+ 4)^2 = 52[/tex]
CAN SOMEONE HELP ME ASAP!!!
Answer:
5÷35 = 1/7× 100
Step-by-step explanation:
P(E)= n(E)÷ n(s)
Answer:
17%
Step-by-step explanation:
Add all of the students up and then form a ratio:
30 students in total; 5 seniors/30 students
5/30 = 1/6 = 16.67%
(I think that's the answer, hope it helps)
Which product is positive?
O (2/5) (-8/9) (-1/3) (-2/7)
O (-2/5) (8/9) (-1/3) (-2/7)
O (2/5) (8/9) (1/3) (-2/7)
O (-2/5) (-8/9) (1/3) (2/7)
Answer:
D
Step-by-step explanation:
because there is an even number of negatives\
Hope this help have a good day
Answer:
4 th option
Step-by-step explanation:
The product of an even / odd amount of positive numbers is positive
The product of an even amount of negative numbers is positive.
The product of an odd amount of negative numbers is negative.
Option 1
The product of 1 positive and 3 negative numbers will be negative
Option 2
Similar to option 1
Option 3
The product of 3 positive and 1 negative will be negative
Option 4
The product of 2 negative and 2 positive numbers will be positive
Which expression is equivalent to c+c - 7c?
7с
1- 6c
-5c
c- 6
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Variables by itself with no number with it is understood as an invisible}\\\large\textsf{1}[/tex]
[tex]\huge\textsf{c + c - 7c}[/tex]
[tex]\huge\textsf{= 1c + 1c - 7c}[/tex]
[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{= (1c + 1c - 7c)}[/tex]
[tex]\large\textsf{1c + 1c = \bf 2c}[/tex]
[tex]\large\textsf{= 2c - 7c}[/tex]
[tex]\large\textsf{= \bf -5c}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{Option C. \bf -5c}}}}\huge\checkmarl[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
C+c-7c2c-7c(2-7)C-5CWrite L if it is Likely to happen and Write U if it is unlikely to happen. Topic is probability
1. 2:3
2. 4:15
3. 3/10
4. 13/21
5. 6/16
6. 8:11
7. 9:20
8. 11:25
9. 5/16
10. 7/12
11. 6:13
12. 4:9
13. 2:5
14. 19/45
15. 12/25
Please make it quick
Answer
15. 12/25
Step-by-step explanation:
Because the surface value of this question
A mixture contains nothing biet water and are tone in a ratio of stof 1.2. After 2oom of water is added to the mixture, the ratio of water to acetone He is 2:3. The original volume of the mixture is
Answer:
Step-by-step explanation:
Which of the following is not a congruence theorem or postulate?
A.) AAS
B.) SSS
C.) AA
D.) SAS
Answer:
C.) AA
Step-by-step explanation:
AA is a similarity theorem
hope this helps stay safe :)
Answer:
The answer would be C.
Step-by-step explanation: Hope this helps :)
What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?
Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A prime at negative 4, negative 1, B prime at negative 3, negative 2, C prime at negative 1, negative 2, D prime at negative 2, negative 1.
Reflected over the x-axis and rotated 180°
Reflected over the y-axis and rotated 180°
Reflected over the x-axis and rotated 90° counterclockwise
Reflected over the y-axis and rotated 9
Answer:
Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Answer:
Reflected over the x‒axis and reflected over the y-axis
Step-by-step explanation: pls mark me as brainly
Can someone help me with this math homework please!
Answer:
addition one is: (1/2) + 5x - (1/2)= 8 - (1/2)
muliplcation one is: (4x)(1/4)=(3) (1/4)
subtracting one is: 3x-4+4=12+4
division one is: 55/11 = 11x/11
Step-by-step explanation:
Hope this helps and good luck :)))
You are selecting meals for a school event and you are planning on at least 240 students at this event. The chicken meal will cost $5 and the beef meal will cost $8 per serving. Your total budget is $1200.00. Select a system of linear inequalities that shows the various numbers of Chicken and Beef meals you can prepare. Let x = number of chicken meals and let y = number of beef meals.
Answer:
x + y ≥ 240
5x + 8y ≤ 1200
Step-by-step explanation:
Assume;
Number of chicken meals = x
Number of Beef meals = y
Total budget = $1200
Find:
Inequality
Computation:
Number of chicken meals + Number of Beef meals ≥ Total students
x + y ≥ 240
Total cost = (Number of chicken meals)(Cost of chicken meal) + (Number of Beef meals)(Cost of beaf meal)
5x + 8y ≤ 1200
Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?
acute, because 62 + 102 < 122
acute, because 6 + 10 > 12
obtuse, because 62 + 102 < 122
obtuse, because 6 + 10 > 12
Answer:
C
Step-by-step explanation:
use Pythagorean theorem
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
c is the longest side
if [tex]a^{2}[/tex] + [tex]b^{2}[/tex] > [tex]c^{2}[/tex] then it's acute (greater than)
if [tex]a^{2}[/tex] + [tex]b^{2}[/tex] < [tex]c^{2}[/tex] then it's obtuse (less than)
if they are equal, then its a right triangle
[tex]6^{2}[/tex] + [tex]10^{2}[/tex] = [tex]12^{2}[/tex]
36 + 100 = 144
136 = 144
136 < 144 obtuse
The correct classification for this triangle is:
obtuse, because 6² + 10² < 12²
Option C is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To determine the classification of a triangle based on its side lengths, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we have a triangle with side lengths of 6 cm, 10 cm, and 12 cm. Checking the sum of the lengths of each pair of sides, we have:
6 + 10 = 16 > 12
6 + 12 = 18 > 10
10 + 12 = 22 > 6
Since all three pairs satisfy the triangle inequality theorem, the given side lengths do form a valid triangle.
Next, we can use the law of cosines to determine the measure of the largest angle in the triangle, which will allow us to classify it.
The law of cosines states that, for a triangle with side lengths a, b, and c, and the angle opposite c denoted as C, we have:
[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]
In this case, the side lengths are a = 6 cm, b = 10 cm, and c = 12 cm. Substituting these values into the formula and solving for cos(C), we get:
cos(C) = (6² + 10² - 12²) / (2 x 6 x 10)
cos(C) = -1/5
Since the cosine function is negative for angles between 90 and 180 degrees, we know that angle C is obtuse.
Therefore,
The correct classification for this triangle is:
obtuse, because 6² + 10² < 12²
Learn more about triangles here:
https://brainly.com/question/25950519
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Is the discriminant of g positive, zero, or negative?
What is the multiplicative rate of change for the exponential function f(x) = 21
2