Answer:
<C = 62 degrees, <B= 118 degrees
Step-by-step explanation:
Opposite angles of parallelograms are always congruent.
Consecutive ( angles that are next to each other ) always add up to 180.
180-62=118
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Can some one help me on this pls :(
Answer:
Step-by-step explanation:
1= 2/3
2=5/6
3=21/40
4= 2 11/20
5= 1 1/3
6=5/6
7=1 1/2
8=9/10
9= 5 1/6
10= 2 1/2
3 x 10^-3 as an ordinary number
===============================================
Explanation:
Think of the first 3 as 3.0
The exponent -3 tells us to move the decimal point three spaces to the left
So the 3.0 turns into 0.003
We can say [tex]3.0 \times 10^{-3} = 0.003[/tex]
--------------
Other examples:
[tex]7.2 \times 10^{-2} = 0.072\\\\5.18 \times 10^{-1} = 0.518\\\\6.4 \times 10^{3} = 6400\\\\[/tex]
The negative exponent means "move that many spaces to the left", while the positive exponent has us move the decimal point that many spaces to the right.
Fiona drives for 4 hours.
Her average speed is 25.5 mph.
How far does Fiona drive?
Answer:
102 is the answer
Step-by-step explanation:
i hope I'm correct
Michael opened a savings account at an annual interest rate of 5%. At the end of 3 years, the account balance is $4630.50. If Michael did not add any other amounts to this account, how much was his initial deposit?
Answer:
$4026.52
Step-by-step explanation:
Given data
rate= 5%
time= 3years
A=$4630.50
P=?
we know that
A=P(1+rt)
$4630.50=P(1+0.05*3)
$4630.50=P(1+0.15)
$4630.50=P(1.15)
P=4630.50/1.15
P=$4026.52
The intitial amount is $4026.52
3. The graph of a function g is given.
a. Which is larger f(0)or g(0) ?
b. Which is larger f(-3) or g(-3) ?
c.For which values of x is f(x)= g(x)?
At the specific domain x = 0. Larger means that graph is above another graph.
At x = 0, we can see that function f covers the function g. Therefore, function f is larger.
Which is larger f(-3) or g(-3)?This is the same as first question. Look at x = - 3. Notice that the graph of function g is above graph of function f at x = - 3. Therefore function g is larger.
For which values of x is f(x)=g(x)?Both graphs have intercepts to each others. Look at both graphs and you will see that f(x)=g(x) when x = -2,2
Answer[tex] \large \boxed {1. \: f(0)} \\ \large \boxed {2. \: g( - 3)} \\ \large \boxed {3. \: x = -2,2}[/tex]
Answer:
Please check the explanation.
Step-by-step explanation:
Given the graph of a function f and g.
Part a)
From the graph, it is clear that:
at x = 0, the value of y of function f is 3.
i.e. f(0) = 3
and
at x = 0, the value of y of function g is 0.5
i.e. g(0) = 0.5
Conclusion:
f(0) = 3
g(0) = 0.5
Therefore,
f(0) is larger.Part b)
From the graph, it is clear that:
at x = -3, the value of y of function f is -1.
i.e. f(-3) = -1
and
at x = -3, the value of y of function g is 2
i.e. g(-3) = 2
Conclusion:
f(-3) = -1
g(-3) = 2
Therefore,
g(-3) is larger.Part c)
From the graph, it is clear that at x = 2 and x = -2, both the graphs meet.
From the graph it is clear that:
at x = 2, f(2) = 2 and g(2) = 2at x = -2, f(-2) = 1 and g(-2) = 1In other words, both graphs are equal at x = 2 and x = -2.
i.e.
f(x) = g(x) at x = 2 and x = -2
4. The senior class at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Answer:
van=18
bus=59
Step-by-step explanation:
Let v=van & b=bus
1v+6b=372
1v=372-6b
4v+12b=780
Lets divide by 4
1v+3b=195
then
1v=195-3b
substitute in first expression
372-6b=195-3b
simplify
177=3b
b=59
then substitute
1v=195-3(59)
1V=18
Answer:
van=18
bus=59
Step-by-step explanation:
Let v=van & b=bus
1v+6b=372
1v=372-6b
4v+12b=780
Lets divide by 4
1v+3b=195
then
1v=195-3b
substitute in first expression
372-6b=195-3b
simplify
177=3b
b=59
then substitute
1v=195-3(59)
1V=18
Hannah has a stickers she splits them evenly among 6 envelopes what expression shows how many stickers is in the envelope
Answer:
a/6
Step-by-step explanation:
Hannah has a total of "a" stickers.
Then, she divides the stickers into 6 envelopes, we can think of the envelopes as "groups".
This is what is called a quotient, and it is written as:
a/6
This is the number of groups of 6 elements of a, and in this case, represents the number of stickers that we will have in each one of the 6 envelopes.
round 7,604 to the nearst thousand
Answer:
8,000
Step-by-step explanation:
Lester orders a book for $35. He must pay a shipping charge of 12%. Show how to find 12% of $35 by using benchmark percents, then find the amount of the shipping charge.
Answer:
$4.2
Step-by-step explanation:
1. 12%=0.12
2. 0.12 of $35 = 0.12 × $35
3. = $4.2
You spent 2 hours on homework yesterday. Today you spend 4 hours. What is the percent of increase?
Answer:
See below
Step-by-step explanation:
With regards to the above, since 2hours was spent yesterday , and 4 hours today, the percentage of the increase would be 200%
The reason being that since double of the hours spent yesterday on homework were spent today, hence 200%
Need help ASAP ILL LOVE U FOREVER
If using the method of completing the square to solve the quadratic equation x^2+20x+28=0x which number would have to be added to "complete the square"?
Answer:
100 will have to be added to both sides to complete the square
Step-by-step explanation:
Given:
x^2+20x+28=0
x² + 20x + 28 = 0
x² + 20x = -28
Using completing the square method of solving quadratic equation
Find the square of half of the coefficient of x
Coefficient of x = 20
Half of the coefficient of x = 20/2
= 10
Square of the half of the coefficient of x = 10²
= 100
Add the square of the half of the coefficient of x to both sides of the equation
x² + 20x = -28
x² + 20x + 100 = -28 + 100
(x + 10)² = 72
Answer:
(x + 3/2)^2 = 121/4
Step-by-step explanation:
khan academy gave me the answer. trust me bro.
Nila has r red peppers and 88 green peppers. Write an algebraic expression that tells how many total peppers she has.
Answer:
X= R +88
Step-by-step explanation:
X for total peppers
Suppose that an Individual has a body fat percentage of 18.8% and weighs 127 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
pounds
Answer:
14.8 pounds
Step-by-step explanation:
Here, we want to get the actual value made of fat from the body weight
What we have to do here is to multiply the percentage by the body weight
Mathematically, we have this as;
18.8% of 127 pounds
= 18.8/100 * 127 = 14.80 pounds
How many 1/3inch cubes does it take to fill a box with a width of 2 2/3inches, Length 3 1/3, and height 2 1/3inches?
Answer:hope this helps
Thus, it takes 560 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
Step-by-step explanation:
Brie and Gillian were selling tickets to sports Night. Gillian sold about 6 adult tickets and 15 student tickets for a total of $48.00. Brie sold 8 adult tickets and 7 student tickets for a total of $38.00. What was the price of each ticket?
Step-by-step explanation:
Given data
let adults be x
and student be y
so
6x+15y= 48-----------1
and
8x+7=38-----------2
solve eqn 1 and 2
6x+15y= 48-----------1X 8
8x+7=38-----------2X 6
48x
+15y= 40
48x+7y= 38
subtract
8y=2
y= 2/8
y= 1/4
y= $0.25
from 8x+7=38
put y= 0.25
8x+7(0.25)=38
8x+1.75= 38
8x=38-1.75
8x=36.25
x=36.25/8
x=$4.5
Jazmin cuts two pieces of construction paper, the first piece is 44 cm and try other is 33cm. She wants to cut the paper into strips that are equal . How wide should Jazmin cut each strip?
Answer:
11 cm
Step-by-step explanation:
Obtain the lowest common multiple of the first piece and the second piece :
Multiples of :
44 : 1, 2, 4, 11, 22, 44
33 : 1, 3, 11, 33
From the multiples above :
The lowest multiple common in both 44 and 33 is 11.
Hence, Jazmin can cut each strip to a width of 11 cm
hey can someone please help me asap
Answer:
Nonproportional
Step-by-step explanation:
Hope This Helps
Estelle is helping at a community food drive by boxing up cans of soup. There are two sizes of boxes, large and small. Estelle fills 3 large boxes and 5 small boxes with 170 soup cans total. The boy working next to her fills 4 large boxes and 4 small boxes with 184 soup cans total. How many cans does each small box hold?
Answer:
The small box contains 21 cans
Step-by-step explanation:
Represent the small box with S and the large with L.
For Estelle:
[tex]3L + 5S = 170[/tex]
For the boy:
[tex]4L + 4S = 184[/tex]
Required
Determine the cans in the small box
[tex]3L + 5S = 170[/tex] --- (1)
[tex]4L + 4S = 184[/tex] --- (2)
Divide (2) through by 4
[tex]L + S = 46[/tex]
Make L the subject
[tex]L = 46 -S[/tex]
Substitute 46 - S for L in (1)
[tex]3L + 5S = 170[/tex]
[tex]3(46 - S) + 5S = 170[/tex]
Open bracket
[tex]128 - 3S + 5S = 170[/tex]
[tex]128 + 2S = 170[/tex]
Collect Like Terms
[tex]2S = 170-128[/tex]
[tex]2S = 42[/tex]
Divide both sides by 2
[tex]S = 21[/tex]
Hence, the small box contains 21 cans
determine the total numbers of zero
f(x) = 23 – 3x2 – 2x + 6
Answer:
f(x) = 29
Step-by-step explanation:
f(x)=23-(3x0)-(2X0)+6
f(x)=23+6
f(x)=29
Use the equation below to find T, if w= 70, m= 11, and a = 3.
T=w-ma
T =
LI
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I need help
If Hannah can drive 20 miles in 4 minutes, what is her unit rate in miles per minute?
Answer:
5 miles per minute
Step-by-step explanation:
20/4 = 5miles
5 miles / minute
Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image
of the point.
Answer: (-5,-5) --> (-x,-y)
Step-by-step explanation:
90 degree rotation: (-y,x)
180 degree rotation: (-x,-y)
270 degree rotation: (y,-x)
SOMEONE PLS HELP WIL MARK U BRAINLIEST
A triangle with a base of 9 m has an altitude of 12 m which would give you the area of the tranigle
Answer:
A=54
Step-by-step explanation:
A=hb/2
h=12 b=9
12x9=108
108/2
54 Area=54
The Opposite Of The Opposite Of $800 Is $800. Is His Reasonign correct?
Explain
Answer:
umm... i belive yes.
Step-by-step explanation:
this is beacuse..
800 opposite wold be -800 right
and then the opposite of -800 wold be 800
so 800 is equal to 800 cus ya
so yes i belve that this is true.
Please Help 100 Points
Answer:
it's answer is 3x - 3
y + x - 8 + 8x + 4 = 12x - 7
y + 9x - 4 = 12 x - 7
y = 12x -9x - 7 +4
y = 3x - 3
hope it helps you
Answer:
[tex]\Large \boxed{\sf 3x-3}[/tex]
Step-by-step explanation:
Perimeter is sum of all sides
Subtract both given sides from perimeter to get the missing side
[tex](12x-7)-( \ (x-8)+(8x+4) \ )=3x-3[/tex]
For a craft project, two equilateral triangles are taped together to create a quadrilateral.
2 equilateral triangles are connected at one side to create a quadrilateral with congruent side lengths.
What is the quadrilateral?
rhombus
rectangle
trapezoid
square
Answer its rhombus
Step-by-step explanation: i took the test
The quadrilateral formed by the taping together of two equilateral
triangles is a rhombus.
How can the type of quadrilateral formed be known?The given types of triangles that form the quadrilateral are equilateral
triangles.
Given that the triangles have congruent side lengths, we have;
1) The side lengths of the quadrilateral formed are equal.
2) A pair opposite angles of the quadrilateral formed are equal to the interior angle of an equilateral triangle which is 60°.
3) The other pair of opposite angles are also equal to 60° + 60° = 120°.
The altitude of an equilateral triangle is perpendicular to the base.
Which gives;
4) The diagonals bisect each other at right angles.
Therefore;
The adjacent angles are supplementary
Which gives;
5) The opposite sides are parallel.
The above properties are the properties of a rhombus
Therefore;
The quadrilateral formed is a rhombusLearn more about rhombus here:
https://brainly.com/question/927171
HHHHHHHELP MEEEEEEEEEEE
Answer:
4th one is the right answer.
| x | -2 | 1 | 2 | 3 |
| y | -6 | 3| 6 | 9 |
Step-by-step explanation:
The x and y relationship is in the form y=kx and the graph starts from the origin.
Therefore the graph represents a proportional relationship which holds a equation y=x/3, where k=1/3.