(2x–5)° + 45° = 180° (sum of consecutive interior angles
=> 2x + 40 = 180
=> 2x = 180– 40
=> x = 140 /2
=> x = 70
The required value of the x is 70 in the measures of the angle.
Given that Line m and n are parallel lines and intersect by a transversal line l.
When a transversal line intersects two other lines, it creates eight angles, four of which are called exterior angles and four are called interior angles.
From the sum of consecutive interior angles we have;
(2x–5)° + 45° = 180°
2x + 40 = 180
2x = 180– 40
x = 140 /2
x = 70
Learn more about lines here:
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determine the effects on the graph of the parent function f(x)=x+10 when g(x)=0.3f(x)
Answer:
First, remember the definition of a vertical contraction/dilation.
If we have a function f(x), and we dilate it with a factor A, such as:
g(x) = A*f(x).
If A is larger than 1, then we are dilating the graph of f(x)
if A is smaller than 1, then we are contracting the graph of f(x).
In this case we have:
f(x) = x + 10 and g(x) = 0.3*f(x) = 0.3*x + 0.3*10 = 0.3*x + 3.
A = 0.3
then we have a contraction.
From this, we can conclude that the effects of this transformation in the graph will be that the graph of g(x) will be a vertical contraction of the graph of f(x).
(Where contracting means that in a given interval [x1, x2] the associated interval [f(x1), f(x2)] will be larger than [g(x1), g(x2)])
Below you can see both graphs, and see the difference between them, where green is f(x) and blue is g(x)
Does x=3 make the equation 5x-3=12 true or false?
Answer:
True
Step-by-step explanation:
5 times 3 equal 15. 15 minus 3 equals 12
Let A be the event that there are at least two fives among the four rolls. Let B be the event that there is at most one five among the four rolls. Find the probabilities P(A) and P(B) by finding the ratio of the number of favorable outcomes to the total (i.e., P(A) = #A #Ω and P(B) = #B #Ω ).
Answer:
P(A) = 31/1296
P(B) = 125/1296
Step-by-step explanation:
Here, we want to find P(A) and P(B)
Let’s start with A
In a roll of a die, the probability that there will be a 5 is 1/6
The probability of not having a 5 is therefore 1-1/6 = 5/6
So out of four rolls , we want to find the probability of having at least two fives
This means there could be 2, 3 or 4 fives;
For two fives;
We have 2 fives and two non-fives
= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296
For 3 fives;
we have 3 fives and 1 non five
= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296
For 4 fives;
= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296
So the probability of at least two fives is;
1/1296 + 5/1296 + 25/1296 = 31/1296
Event B is the probability that there is at most one five among the four rolls
That means there are 3 non fives and 1 five
P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296
Which set of ordered pairs does not represent a function?
A.(0, 0), (2, 2), (5,5)
B.(0, 1), (3, 4), (4,3)
C. (1, 2), (3, 2), (7, 2)
D.(2,3), (3,5), (3,7)
Answer:
C does not represent a function
Step-by-step explanation:
you find 2 for each y- coordinate. Whenever you have a reputation in number for y axis means its not a function
In the decimal system, when we divide a number by 10, the rightmost digit in the number is the remainder. Divide the number 157 by 10 repeatedly. Each time, write the remainder in the last column and the quotient in the dividend column. You can stop dividing when you get a 0 in the dividend column.
Answer:
See explanation
Step-by-step explanation:
Required
Divide 157 by 10 repeatedly.
This is done as follows...
157 Divided by 10 = 15 Remainder 7
15 Divided by 10 = 1 Remainder 5
1 Divided by 10 = 0 Remainder 1
As per the requirement of the question, no further action or operation is required
In terms of the δe values, which are the two expressions for the difference in internal energy between state a and state b? check all that apply. check all that apply. δeab=δe3+δe4 δeab=δe2+δe3 δeab=δe1+δe4 δeab=δe1−δe2 δeab=δe1+δe2 δeab=δe3−δe4 δeab=δe1+δe2+δe3+δe4
Complete Question
The complete question is shown on the first uploaded image
Answer:
The expression are
[tex]\Delta E = \Delta E _1 + \Delta E_2[/tex]
and
[tex]\Delta E = \Delta E _3 + \Delta E_4[/tex]
Step-by-step explanation:
Generally from the diagram the energy change from state A to state B is
[tex].\ \ \Delta E_2 \ \ \ \ \ \ \ \ \Delta E_2 \\A \ \ \to \ \ \ C \ \ \ \to \ \ \ B\\[/tex]
Also
[tex].\ \ \Delta E_3 \ \ \ \ \ \ \ \ \Delta E_4 \\A \ \ \to \ \ \ D \ \ \ \to \ \ \ B\\[/tex]
So two expressions for the difference in internal energy between state a and state b are
[tex]\Delta E = \Delta E _1 + \Delta E_2[/tex]
and
[tex]\Delta E = \Delta E _3 + \Delta E_4[/tex]
Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units
3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance
Sohil has $18 in quarters and loonies. If there are 27 coins in total, how many loonies are there
Answer:
15 loonies = $15.00
12 quarters = $3.00
CHECK:
15+12=27
3+15=18
So there are 15 loonies :)
Estimate the length of a square with an area of 99 square feet?
Answer:
Area = [tex]L x W[/tex]
= [tex]99 by 99[/tex]
= [tex]9801 feet2[/tex]
9801 ft area.-BBBM
Algebra, help please ASAP
Answer:
GCF
I hope this helps!
Answer:
GCF
Step-by-step explanation:
Carla makes a scale drawing of her garden that is 30 feet long and 24 feet wide. If the garden in her drawing is 20 inches long. What is the width in inches
Answer:
Sorry you will have to clarify more on the width I do not under stand :/
Step-by-step explanation:
Answer: A=14
Step-by-step explanation: 1 foot = 12 inches so 30 feet = 20 inches which is 30 - 10 so 24 - 10= 14
6/7 divided by 2/7 show work pls thanks.
Answer:
42/14
Step-by-step explanation:
division is multiplication by its reciprocal so its gonna be 6/7x7/2=42/14
(simplify of course)
find the length of the missing side
Answer: x=12
Step-by-step explanation:
20 squared= 400 and 16 squared= 256. The Protagorean Theorm is a sqaured plus b sqaured equals c squared. You just reverse the Theorm to C sqaured minus B squared= A squared. 400-256=144 (12x12= 144)
8) You and your friends order a meal for $179.77. How much tip
should you leave if you want to leave a 15% tip?
9) You and your friends order a meal for $149.58. How much
should you leave (including tip) if you want to leave a 18% tip?|
The answer for 8 is a $27 tip
The answer for 9 is a $26.92 tip
4. Is the expression (10x + 5 - 6x - 2) equivalent to (5x + 1 - (x - 2))? [True or False]
Prove this using algebra - Show work].
Answer:
true
Step-by-step explanation:
this is because
(10x+5-6x-2)
(10x-6x)+(5-2)
which equals 4x+3
then
(5x + 1 - (x - 2))
5x+1−x+2
(5x−x)+(1+2)
also equals
4x+3
a+5=−5a+5
Need help with this :( pleasee
Answer:
a = 0
Step-by-step explanation:
a + 5 = −5a + 5
subtract the 5a and bring it to the left and take the 5 on the left and bring it to the right then solve.
6a = 0
divide and you get
a = 0
HELLLLLLLP .....................
Answer:
B. No, because one x-value corresponds to two different y-values.
Step-by-step explanation:
Answer:
I believe It's B
Step-by-step explanation:
0(1234+ 556 +780 x 4859/8393 + 83931) =
Answer:
I'm pretty sure its 0...since anything multiplied by zero is 0
A car wash cost $12.50 at a local car-wash place. If you leave a 20% tip, how much are you actually leaving in tip? (What is the tip in dollars?)
Answer:
$2.50tip
Step-by-step explanation:
12.50*0.20=2.50
What is the answer to 5+(x−2)=−8
Answer:
x= -11
Step-by-step explanation:
Use Math way.
what the answer pls and explain 3a−4≤5
answer: a≤ 5/3
Step-by-step explanation:
First you have to subtract 4 from both sides making: 3a≤ 9
Next you divide both sides by 3 making: a≤ 3
So I was ordering me food that cost $16.13. And I have $15 and 4 quarters, 1 dime and 5 pennies. How can I make it work? Can I use the extra dollar with the 4 quarters so that I have $16?
Answer:
Technically, it already works because you have $16.15
Step-by-step explanation:
Which equation is true when the value of x is -12
Answer:
Which equation is true when the value of x is -12 HERE YOU GO!!
Step-by-step explanation:
tricky ... let's see ...
I notice that if we subtract xy from both sides we get
7x + xy - xy = xy - xy + 21
then
7x = 21
and
x = 21/7 = 3
so there is only one value of x that satisfies the equation
x = 3
Going back to the original equation we see that any value of y will satisfy the original equation
we can see this by rearranging things:
7x + xy - xy = 21
here, I have performed the subtraction of xy on the right side as above, but have left the left side undone
(so we don't lose the presence of y)
Note that the above can also be written as
7x + (x - x)y = 21
or
7x + 0y =21
now, since anything times zero equals zero,
y may be any number.
Let's summarize:
1) x = 3
2) y = anything
looking back at the original question;
1) the equation is true for all ordered pairs
FALSE (only one x works, not all x)
2) there are no x and y pairs for which the equation is true.
FALSE (x=3, y=anything) makes it true, i.e. (3,1)
3) For each value of x, there is one and only one value of y that makes the equation true,
FALSE for each value of x, for the one value of x, x=3, y can be any number, which is an infinite number, not one
4) for each value of y, there is one and only on value of x that makes the equation true.
TRUE!! for all the infinite values of y you may pick, there is one and only one x you may pick, x = 3
ANSWER: STATEMENT 4 is CORRECT (TRUE)
What is the equation of a quadratic function that has zeros -6 and -2?
Answer:
[tex]y=x^{2} +8x+12[/tex] is the quadratic function.
Step-by-step explanation:
We know that -6 and -2 are the zeros. So, they are both equal to x.
x = -6 and x = -2
Add them to x.
(x + 6) (x + 2)
Now, multiply the two binomials together.
[tex]x^{2} +6x+8x+12[/tex]
Combine like terms.
[tex]y=x^{2} +8x+12[/tex]
[tex]y=x^{2} +8x+12[/tex] is the answer.
SOH CAH TOA
Find the missing side.
Round to the nearest tenth.
Answer:
1- 50
2-49
3-22
Step-by-step explanation:
just add the sides that you have and then subtract the sum by 90 becasue theu are right triangles
solve f = 2/t + 5 for T
Answer:
t=2/f-5
Step-by-step explanation:
2/t=f-5
or,2=(f-5)/t
t=2/(f-5)
HELP MEEEEEE 20 pOInts
Answer:
55:5
121:11
Step-by-step explanation:
What is the value of h in the figure
below?
Answer:
12
Step-by-step explanation:
according to the pythagorous theorem
Item 1 Find the volume of the prism. A rectangular prism with length of start fraction 4 over 5 end fraction millimeter, width of one-half millimeter, and height of start fraction 3 over 8 end fraction millimeter. The volume is $$ cubic millimeter.
Answer:
The volume of the rectangular prism is 3/20 (or 0.15) mm³.
Step-by-step explanation:
The volume of the rectangular prism can be calculated as follows:
[tex] V = l*w*h [/tex] (1)
Where:
l: is the length = 4/5 mm
w: is the width = 1/2 mm
h: is the height = 3/8 mm
By entering the values of l, w, and h into equation (1) we can find the volume:
[tex] V = l*w*h = \frac{4}{5} mm*\frac{1}{2} mm*\frac{3}{8} mm = \frac{3}{20} mm^{3} = 0.15 mm^{3} [/tex]
Therefore, the volume of the rectangular prism is 3/20 (or 0.15) mm³.
I hope it helps you!
Help please will mark brainliest for correct answer!
Your weld settings are 17.5 volts and 125 amps. use ohm's law to count how much resistance is in your welding circuit.
Answer:
0.14 ohmsStep-by-step explanation:
We know that ohms law is given by the expression
V=IR
In the problem, we are given that
voltage v= 17.5volts
currents I=125 amps
Substituting our data into the expression we have
17.5=125*R
R=17.5/125
R=0.14 ohms
Hence the current is 0.14 ohms