Answer:
u just expand the brackets out and make a linear equation to solve from there
Step-by-step explanation:
In Triangle DEF, the sum of the measures of Angle D and Angle E is 110. The sum of the measures of Angle E and Angle F is 150. Find the sum of the measures of Angle D and F.
The required sum of the measures of angles D and F is 260 degrees.
Let's represent the measures of angles D, E, and F as D, E, and F, respectively.
From the given information, we have the following equations:
D + E = 110 (The sum of the measures of angles D and E is 110)
E + F = 150 (The sum of the measures of angles E and F is 150)
Now, we want to find the sum of the measures of angles D and F, which is D + F.
To find D + F, we need to eliminate E from the equations. We can do this by adding equations (1) and (2):
(D + E) + (E + F) = 110 + 150
Now, the E terms cancel out:
D + F = 260
So, the sum of the measures of angles D and F is 260 degrees.
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2 The perimeter of a square is given as 12x + 20. Write two different expressions to
represent its perimeter. Use factoring for one way.
Answer:
The two expressions are;
4(3x + 5)
and
(6x + 10) + (6x + 10)
Step-by-step explanation:
Here, we want to write two different expressions to represent the perimeter of the square
The perimeter is given as 12x + 20
Using factoring, we can have this as;
4(3x + 5)
Otherwise, we can have
(6x + 10) + (6x + 10)
The pair figures are similar.find the missing side
Answer:
C. x=3
Step-by-step explanation:
Because the sides are proportionate to each other
Side 3 is 3x the length of Side 1
Therefore,
Side 9 is also 3x the length of side X
3x=9
Divide both by 3
and X will be 3.
solve this equation
-54= 6(x-6)
Answer:
x = -3
Step-by-step explanation:
[tex]-54= 6(x-6)\\\\-9=x-6\\\\x=-3[/tex]
Answer:
x=-3
Step-by-step explanation:
-54= 6(x-6)
switch sides = 6(x-6)=-54
divide both sides by 6 =x-6=-9
add 6 to both sides = x=-3
x=-3
Can someone please explain I’ll mark brainlest
Answer:
TriangleJXP = Triangle HCD
Side XJ = side HC
Side CD = side JP
Side PX = HD
Step-by-step explanation:
Looking at both of the triangles you use the lines on “top” of the side. These lines represent congruence meaning that they are similar to each other.
So looking at side JP u can see that there are two lines meaning that this is the second side that is congruent to another side, side CD.
Hope this helps.
Given that for all values of x,
f(x) = 3x + p
g(x) = px + 4
and fg(x) = 6x + 9
where p and q are constants.
Work out the values of p and q.
The value of p is 2.
The value of q is 14
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Two functions:
f(x) = 3x + p
g(x) = px + 4
Now,
f(g(x)) = 6x + 9
This means,
3(g(x)) + p = 6x + q
Substituting g(x) = px + 4.
3(px + 4) + p = 6x + q
3px + 12 + p = 6x + q
3px + (p - q) = 6x - 12
This means,
3p = 6
p = 2
p - q = -12
2 - q = -12
q = 2 + 12
q = 14
Thus,
p is 2 and q is 14.
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What is the opposite integer of –(–7)?
Stephanie spent half of her weekly
allowance playing arcade games. To earn
more money her parents let her clean the
oven for $7. What is her weekly
allowance if she ended with $12?
Pls give me an equation and your work
Answer:
5
Step-by-step explanation:
just do 12 minus 7 and you get 5
Juan starts a new coffee shop. The table shows the coffee sales at his shop for the first 5 days. What is the average rate of change per day between the 2nd and 5th day?
Answer:
Average rate of change from day 2 to day 5 is $43.33/day.
Step-by-step explanation:
Sales on day 2 = 200
Sales on day 5 = 330
Rate of change = [tex]\frac{330-200}{5-2} =\frac{130}{3}=43.33[/tex]
Tom is a lawyer who makes $132,000 per year. If his legal assistant, Alec, makes 53% of his salary, find Alec’s salary.
Answer: 69,960
Step-by-step explanation: all you have to do is divide 132,000 by 53%.
Answer this question plz
The measure of angle EDF from the given figure is 23°.
From the given figure, ∠EGF=23°.
What is and angles in the same segment theorem?The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.
By using angles in the same segment theorem, we get
∠EGF = ∠EDF = 23°
Therefore, the measure of angle EDF from the given figure is 23°.
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Please show your work for this question
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[tex]4 \times {9}^{2x} = 42[/tex]
Divide sides by 4
[tex] \frac{4 \times {9}^{2x} }{4} = \frac{42}{4} \\ [/tex]
[tex] {9}^{2x} = \frac{2 \times 21}{2 \times 2} \\ [/tex]
[tex] {9}^{2x} = \frac{21}{2} \\ [/tex]
[tex]( { {9}^{2} })^{x} = \frac{21}{2} \\ [/tex]
[tex]x = log_{ {9}^{2} }( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2} log_{9}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2} log_{ {3}^{2} }( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2 \times 2} log_{3}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{4} log_{3}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(21) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(3 \times 7) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(3) + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: 1 + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]
And we're done...
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4.
Peppa has a carton with a dozen eggs in it. 6 eggs are brown.
The rest are white. What fraction of her eggs are white?
Answer:
6/12 or 1/2
Step-by-step explanation:
there ya go i think its right
What is the less of side a? Round to the nearest tenth of an inch.
Answer:
About 14 in the exact value is 14.38 smthn
What is the product of 35 and 434?
A. 21720
B. 3320
C. 4310
D. 515
Answer:
none of the answer choices are correct.
CORRECT ANSWER: 15,190
Answer:
The actual product is 15,190
Step-by-step explanation:
a5b10
ab3
How do I simplify a s express using exponents
find the slope of the table
Answer:
equation for slope:
y2-y1 / x2-x1
0- (-4) / 0 - (-5)
4/5 is your slope
Step-by-step explanation:
A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15
inches longer than the width. Find the width.
Answer:
Width of rectangular piece = x = 8 inches
Step-by-step explanation:
Perimeter of rectangular piece = 62 inches
Let width of rectangular piece= x
and length of rectangular piece = x+15
We need to find width i.e value of x
The formula used for perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]
Putting values in formula and finding Width:
[tex]Perimeter=2(Length+Width)\\\\62=2(x+x+15)\\62=2(2x+15)\\62=4x+30\\62-30=4x\\4x=32\\x=\frac{32}{4}\\x=8[/tex]
After solving we get value of x = 8
So, Width of rectangular piece = x = 8 inches
ANSWER THIS QUESTION IF YOUR GOOD AT MATH ↓
Answer:
It's C, g(x) = (1/2)^x
This is a horizontal reflection of y = 2^x
across the y axis.
Step-by-step explanation:
Using the process of elimination, you can spot this answer by applying what is logical about the transformations of an exponential function.
The transformations of a standard exponential function can be given by:
ab^(1/c(x-h))+k
First note that A must be incorrect because -2^x would be a reflection across the x axis which would not match the function g because a reflection across the x axis would cause the exponential growth or decay value b to become a reciprocal and -2 is not a reciprocal of 2.
sarah works part time in a shop
Dee Anna has a roast that weighs 5.5 pounds. The recipe she is using calls for a roast that is 80 ounces. How many ounces does she need to cut off of the roast to make it the correct size?
Answer:
24
Step-by-step explanation:
well yea just trust me :)
Answer:
8 oz.
Step-by-step explanation:
there are 88 oz in 5.5 lbs.
the recipe calls for 80 oz.
subtract 88 from 80
answer - 8 ozs cut off.
Find the area of the composite figure below.
find the area of the composite figure below 4 ft
4 ft
10 ft
4 ft
4 ft
Answer:
112
Step-by-step explanation:
srry. i meant to put 112 erlier
Select the equation which represents the graph.
Question 1 options:
A: y − 3 = 3/2(x − 4)
B: y − 3 = 2/3(x − 4)
C: y − 3 =− 2/3(x − 4)
D: y − 3 = −3/2(x − 4)
Answer:
B. [tex] y - 3 = \frac{2}{3}(x - 4) [/tex]
Step-by-step explanation:
We can create an equation to represent the graph in point-slope form, given as [tex] y - y_1 = m(x - x_1) [/tex], by using a point (x1, y1) on the line, (4, 3) and the slope (m) of the line.
Let's find slope using the two points (4, 3) and (-2, -1).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 3}{-2 - 4} = \frac{-4}{-6} = \frac{2}{3} [/tex]
Substitute m = ⅔, x1 = 4, and y1 = 3 in [tex] y - y_1 = m(x - x_1) [/tex].
The equation that represents the graph would be:
✅[tex] y - 3 = \frac{2}{3}(x - 4) [/tex],
Which set of points represents a function? { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) }
Given:
The set of points.
To find:
Which set of points represents a function?
Solution:
A set of points represents a function if there exist a unique y-value for each x-value.
It option A, the set of points is
{(1,-2), (3,-5), (3,-2), (5,-7), (7, -8)}
This is not a function because there exist two y-values y=-5 and y=-2 for x=3.
It option B, the set of points is
{(0,1),(1,−3),(2,−5),(3,−7),(4,−9)}
This is a function because there exist a unique y-value for each x-value.
It option C, the set of points is
{(−1,1),(−1,3),(−1,5),(−1,7),(−1,9)}
This is not a function because there exist five y-values y=1,3,5,7,9 for x=-1.
It option D, the set of points is
{(−4,0),(−3,−1),(−3,1),(0,−2),(0,2)}
This is not a function because there exist two y-values y=-1 and y=1 for x=-3.
Therefore, the correct option is B.
Answer:
problem ...
Which of the following sets represents a function?
{(3, 5), (-1, 7), (3, 9)
{(1, 2), (3, 2), (5, 7)}
{(1, 2), (1, 4), (1, 6)}
Step-by-step explanation:i think is
{(1, 2), (3, 2), (5, 7)}
Help!!! I need the answer!!
Answer:
Step-by-step explanation:
3/4a>-16=
a >- 64/3 or -21 1/3
What is the slope of the line?
Answer:
-1/2.
Change in y above change in x (don't mix that up)
The first coordinate is 3,-2 the second is 2,-4.
The change is x was -1 . (2-3)
The change in y was 2. (-4-(-2))
1l) HAO WENT TO A HOBBY SHOP AND SAW A DISPLAY OF TOY TRAINS. THE SIGN IN FRONT OF THE DISPLAY SAID THAT THE TOY TRAINS WERE A REPLICA OF THE LONG ISLAND RAILROAD TRAINS. HAO ESTIMATED THAT ONE OF THE RAILROAD CARS WAS APPROXIMATELY 15 INCHES LONG AND 4 INCHES WIDE. THE SIGN IN FRONT OF THE DISPLAY STATED "SCALE- 2 /9". WHAT IS THE LENGTH OF THE RAILROAD CAR ON THE LONG ISLAND RAILROAD? WHAT IS THE WIDTH OF THE LONG ISLAND RAILROAD CAR?
Answer:
Step-by-step explanation:
Given that :
Dimension of rail road toy trains :
Length = 15 inches
Width = 4 inches
Scale = 2/9
Dimension of car on the long Island rail road :
Let length = x
Length = 2/9 of x = 15 inches
= 0.22222x = 15 inches
LENGTH = 67.5 inches
WIDTH = 2/9 of x = 4 inches
0.22222x = 4 inches
Width = 18
Width = 6 inches
what would be the slope intercept form?
Answer:
y=7/2x-4
Step-by-step explanation:
Slope-intercept form is written y=mx+b. M stands for slope, x stays as x, and b is the y-intercept. If we plug in the numbers we have, the equation becomes...
y=7/2x-4
I hope this helps you out!! The equation is actually pretty simple once you get used to it. Have a nice day ヾ(•ω•`)o
The cost of printing 200 business cards is $23. The cost of printing 500 business cards is $35. What linear equation that could be used to solve this problem?
What is the Lcm of 168?
Answer:
6
Step-by-step explanation: