Answer:
Statement: 60 = 3x + 15; Reason: substitution
(aka A)
Step-by-step explanation:
The missing statement and the missing reason in step 5 is;
Statement: 60 = 3x + 15; Reason: substitution
Here,
We have to find the missing statement and missing reason.
What is Substitution method?
Substitution method is algebraic method to solve the linear equations .
Now,
Column 1 and column 2 are labeled here as;
Angle A D E = 60 degrees ( entries given)
Angle C D F = (3 x + 15) degrees
Angle A D E and Angle C D F are vertical angles. (definition of vertical angles)
Angle A D E is-congruent-to Angle C D F. ( definition of congruency)
Measure of angle A D E = Measure of angle C D F.
⇒ 60 = 3x + 15 ( substitution )
⇒ 45 = 3 x ( subtractive property )
⇒ 15 = x ( division property )
Hence, The missing statement and the missing reason in step 5 is;
Statement: 60 = 3x + 15; Reason: substitution
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Which expression is 5y - 9x + 21y equivalent to after being simplified?
20y + 9x, 26y - 9x, -9x - 16y, or 30xy
Answer:
[tex]26y-9x[/tex]
Step-by-step explanation:
[tex]5y-9x+21y[/tex] Add 21y and 5y.
Hope this helps, have a great day:)
Solve the equation |x + 6|= |x– 12|. Graph the solutions, if possible.
Answer:
x=3
Step-by-step explanation:
Answer:
Step-by-step explanation:
|x+6|=|x-12|
x+6=±(x-12)
when x+6=x-12
6=-12
which is impossible hence rejected.
x+6=-(x-12)
x+6=-x+12
x+x=12-6
2x=6
x=6/2=3
so x=3
B·11 identity the expression as a numerical expression or algebraic expression
Answer:
Step-by-step explanation:
A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables.
Please solve! Brainliest first :D
Answer:
400 miles
Step-by-step explanation:
x - miles driven
140 + 0.70x - a day cost of renting from A
60 + 0.90x - a day cost of renting from B
140 + 0.7x = 60 + 0.9x
- 60 - 60
80 + 0.7x = 0.9x
-0.7x -0.7x
80 = 0.2x
×5 ×5
400 = x
Jasmine was observing her farm from a hot air ballon when she accidently dropped her telescope. As always on earth the formula to find the distance has fallen , d, after t seconds, is the triangle D= 16t^2. How far has the telescope fallen after 1 second. First person to answer gets brainliest
Answer:
256
Step-by-step explanation:
all you had to do was plug (t=1) in t in the equation
so
16(1)^2=256
Answer:400 ft
Step-by-step explanation:
Evaluate 0 × |-6|. ......
Answer:
0
Step-by-step explanation:
Any value multiplied by zero equals zero , thus
0 × | - 6 | = 0
The 0 × 6 equals 0.
To evaluate the expression 0 × |-6|, to determine the absolute value of -6, which is 6 since the absolute value of a negative number is its positive counterpart. Next, we multiply 0 by 6.
When multiply any number by zero, the result is always zero. This is because zero represents the absence of quantity or value. Therefore, regardless of the value multiply by zero, the product will be zero. multiplying 0 by 6 yields zero as the final result. So, 0 × |-6| equals 0. This is because no matter the value of |-6|, the presence of a zero factor makes the overall product zero.
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A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates after both reflections are what
Answer:
The coordinates of the reflected triangle are [tex]X'(x,y) = (-3,-2)[/tex], [tex]Y' (x,y) = (-5,1)[/tex] and [tex]Z'(x,y) = (2,-3)[/tex].
Step-by-step explanation:
Let be a point [tex](a,b)\in\mathbb{R}^{2}[/tex], reflections across x- and y-axes are represented by the following operations:
x-Axis reflection:
[tex]d = d'[/tex]
[tex]b - 0 = 0 - b'[/tex]
[tex]b' = -b[/tex]
y-Axis reflection:
[tex]d = d'[/tex]
[tex]a - 0 = 0 - a'[/tex]
[tex]a' = -a[/tex]
If we know that [tex]X (x,y) = (3,2)[/tex], [tex]Y(x,y) = (5,-1)[/tex] and [tex]Z (x,y) = (-2, 3)[/tex], the coordinates after both reflections are, respectively:
[tex]X'(x,y) = (-3,-2)[/tex]
[tex]Y' (x,y) = (-5,1)[/tex]
[tex]Z'(x,y) = (2,-3)[/tex]
The coordinates of the reflected triangle are [tex]X'(x,y) = (-3,-2)[/tex], [tex]Y' (x,y) = (-5,1)[/tex] and [tex]Z'(x,y) = (2,-3)[/tex].
La Tonya has 16 photos in her purse, and Luís has p photos in his wallet. They have a total of 37 photos
Answer:
21
Step-by-step explanation:
(p)=37-16
Is this sentence true or false? 2(x+8) = 2x - 8
Answer:
FALSE
Step-by-step explanation:
Applying the distributive property on the left side gives ...
2x +16 = 2x -8
Subtracting 2x from both sides gives ...
16 = -8 . . . . a FALSE statement
The given statement is false.
_____
When an algebraic equation is transformed according to the properties of equality, the truth of it does not change.
6,8,10,11. 12, 14, 18, 18,30
Create a box plot to display the data.
Answer:
dunny but 4950
Step-by-step explanation:
4960-
The graph of y = f(x) is shown below. What are all of the real solutions of f(x)
= 0?
Answer:
x = -8, 0 and 6
Step-by-step explanation:
Graphed function in the picture,
y = f(x)
Solutions of a function are defined by the points on x-axis where the graph intersects or touches.
In the given graph, curve of the function touches the x-axis at x = -8 and crosses the x-axis at x = 0, 6
Therefore, real solutions of the function 'f' will be x = -8, 0 and 6.
Convert 42.4 inches to meters.Round your answer to 2 decimal points
Answer:
1.07m
Step-by-step explanation:
the first step is to convert inches to cm
1in =2.54cm
(42.4in/1in x2.54cm)
42.4in = 107.69cm
then convert cm to m
1cm =0.01m
(107.69cm/1cm x 0.01m)
107.69cm =1.0769m
~1.07m
PLEASE HELP
5 years ago, my grandma was 5 times as old as me. 3 years from now, my grandma will be 3 times as old as me. how old am i now?
Answer:
you would be 2 years older so you would be 7
Step-by-step explanation:
5 - 3 = 2
5 + 2 = 7
the school environment science club has $500 of funds. each time they go on a field trip. it costs them $80. Write an algebraic expression that represents the money the club has after going on x field trips
Answer:
500 ÷ 80=x
Step-by-step explanation:
If the school environment science club has $500 of funds and it cost $80 divide 500 and 80 and it should give you your answer.
n/r = b/a solve for a
n/r = b/a
n*a = b*r
a = b*r/n... Hope this will help...
Help me plz !!!!!!!!!!!!!!!!!!!!!
Answer:
letter b. 30% decrease
if someone weighs five times as much as someone else and the total weight of the two people is 132 pounds how much does each person weight
Answer:
The heavier person weighs 110 pounds, and the lighter person weighs 22 pounds.
Step-by-step explanation:
Let the weight of the lighter person be 1 unit.
The weight of the heavier person will be [tex]1\times 5=5u[/tex]
Total weight: [tex]1u+5u=6u[/tex]
6 units = 132
Divide 6:
[tex]1u=\frac{132}{6}[/tex]
[tex]1u=22[/tex]
The weight of the lighter person is 22 pounds.
Weight of the heavier person [tex]= 5\times 22=110[/tex]
The weight of the heavier person is 110 pounds.
Step-by-step explanation:
someone= 5x
someone + x= 132
5x + x = 132
6X=132
x=22
One person ("someone") weighs x× 5 = 110.
the other person ("x) weighs x = 22
Chuck is making a scale drawing of his house. He is using the scale 1 inch = 5 feet. The dimensions of his actual house are 45 feet by 75 feet. What are the dimensions of Chuck’s house on the drawing?
Answer:
9 inch by 15 inch
Step-by-step explanation:
45/5=9 in
75/5=15 in
How is 5,067,000 written in standard scientific notation?
Answer:
5.067e6
Step-by-step explanation:
a cliff diver leaps from a 100-foot cliff into the pacific. the divers height above the water is modeled by the function P(x) = -16x^2 + 10x + 100, where x is time in seconds. during which interval is the diver at least half way down
Answer:
2.1 < x < 2.5 seconds
Step-by-step explanation:
Liam has 9/10 liter of liquid for a science experiment. He pours the liquid into test tubes that hold 1/15 liter. How many test tubes can Liam completely?
SOMBODY HELP ME!!!! I NEED HELP
Answer:
-11, -2, 3, 6
-16, -5, 21, 29
Step-by-step explanation:
Answer:
You are almost correct
2. -11, -2, 3, 6
3. -16, -5, 19, 21
Step-by-step explanation:
This is the answer because:
1) Whenever we are comparing integers, the larger the negative number, the smaller value they have, and for positive numbers the larger the number, the more value they have
2) Therefore, the answers would be
2. -11, -2, 2, 6
3. -16, -5, 19, 21
Hope this helps! :D
3³ + 5 ² = 2x
work out the value of x
Answer:
X = 26
Step-by-step explanation:
3^3 + 5^2 =2x
27 + 25 = 2x
52 = 2x
Divide by 2
X = 26
7. What is the sign of c:d, c>0 and d<0?
POSITIVE
O NEGATIVE
ZERO
Answer:
It would be c>0
Step-by-step explanation:
Select the decimal that is equivalent to
8
Choose 1 answer
A 0.767
B
0.767
С
0.875
D
0.875
E
None of the above
Answer:
NONE OF THE ABOVE (E).Step-by-step explanation:
8 is a whole number.
6-4(2x-3)+10x
Show and explain work
Answer:
18+2x
Step-by-step explanation:
6-4(2x-3)+10x
6-8x+12+10x multiply 2x-3 by -4
18+2x combine like terms
how to write 53/198 as a decimal
Answer:
__
0.2676 or 0.268
Step-by-step explanation:
53 ÷198
Find the domain and range of the following absolute value functions. 1 _____ f(x) = |x+6| I’ll mark u the brainliest to whoever answer first
x = > R
y = > [ 0 , infinity )
Step-by-step explanation:Domain :
f ( x ) = | x + 6 |
Clearly we can put any value for f ( x )
x = > R
Range :
Using input restriction:
For min of x = - 6
y belongs to [ 0 , infinity )
Hence we get answer.
Classify ΔXYZ. Question 3 options: A) Equilateral triangle B) Scalene triangle C) Isosceles triangle D) Right triangle
Answer:
as triangle has different length in each side it is scalene
Step-by-step explanation:
Compare the ratios from the tables. 2:3 is ___ 5:6 10:12 is ___ 6:9 The ratios in Table 1 are ___ the ratios in table 2.
Will pick brainliest if you answer!! :3 :D
Answer:
1st is less than 2nd is greater than 3rd is less than i did the quiz can i get brainlist
Step-by-step explanation:
Answer:
1) less than
2) greater than
3) less than
Step-by-step explanation:
got right on Edgen 2020