Answer:
an integer
Step-by-step explanation:
integers are whole number that includes positive number, negative numbers, and zero
Name that Ange pair!
Drections Given the diagram below, determine whether the angle pairs are corresponding,
alternate interior, alternate exterior, consecutive (same-side) interior, consecutive (same-
side) exterior, or no relationship. Color the boxes using the color codes below.
3.
7
1
5
418
2
6
Corresponding Angles: Pink
Alternate Interior Angles: Light Blue
Alternate Exterior Angles: Yellow
Consecutive Interior Angles: Light Green
Consecutive Exterior Angles: Orange
No Relationship: Uncolored
9/13
10
14
1115
12
16
Answer:
∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are corresponding angles
∠6, ∠9, ∠2, ∠13, ∠4, ∠15, ∠8, ∠11 are alternate interior angles
∠1, ∠14, ∠5, ∠10, ∠3, ∠16, ∠7, ∠12 are alternate exterior angles
∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are consecutive interior angles
sry i dont know which are the consecutive exterior angles
but i hope you understood
<2 and <13 are alternate interior angles
Reason: At the opposite sides of the transversal and fall between
<4 and < 11 are co-interior angles
Reason: Same side of the transversal and fall between the two parallel lines
<1 and <16 do not have any direct relationship
<3 and <12 are co-exterior angles
Reason: Same side of the transversal but each of them are outside the parallel lines
<3 and <5 are co-interior angles
Reason: Same side of the transversal and fall between the two parallel lines
<14 and 16 are corresponding angles
Reason: They are at corresponding sides of the parallel lines to the transversal
<1 and <3 are corresponding angles
Reason: They are at corresponding sides of the parallel lines to the transversal
<5 and <10 are alternating exterior angles
Reason: Alternate side of the transversal but each of them are outside the parallel lines
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Write an algebraic expression for the area of the conference room
Answer:
I like yo cut gggggggggggg
In a triangle, the measure of the middle angle
is triple the measure of the smallest angle, and
the measure of the largest angle is 55° greater
than the measure of the smallest angle. Find
the measures of the
angles.
Let the smallest angle in a triangle be = x
Largest angle in a triangle = 55 + x
The middle angle in a triangle = 3x ( triple the measure of the smallest angle )
Their sum = 180° ( according to the angle sum property all the angles of a triangle sum up to 180° )
This can be written as :
= x + 55 + × + 3x = 180
Let us find each angle by solving the equation .
= x + 55 + x + 3x = 180°
= x + x + 3x + 55 = 180°
= 5x + 55 = 180°
= 5x = 180 - 55 ( transposing +55 from LHS to RHS changes +55 to -55 )
= 5x = 125
= x = 125 ÷ 5 (transposing ×5 from LHS to RHS changes ×5 to ÷5 )
= x = 25
Using this let us find the measure of each angle .
Smallest angle = x = 25
Smallest angle = 25°
Middle angle = 3x = 3 × 25 = 75
Middle angle = 75°
The largest angle = x + 55 = 25 + 55 = 80
Largest angle = 80°
Therefore , the measure of the smallest angle = 25° , the measure of the middle angle = 75° and the measure of the largest angle = 80° .
We have that the measures of the angles are as follows
[tex]\theta_1=80 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
[tex]\theta_3=25 \textdegree[/tex]
From the question we are told that:
The measure of the middle angle is triple the measure of the smallest angle
The measure of the largest angle is 55° greater than the measure of the smallest angle
Let
[tex]\theta_1=Largest\ angle[/tex]
[tex]\theta_2=Middle\ angle[/tex]
[tex]\theta_3=Smallest\ angle[/tex]
Therefore
[tex]\theta_1=55 \textdegree+\theta_3\\\\\theta_2=3*\theta_3[/tex]
Generally, the equation for the angle of a triangle is mathematically given by
[tex]\theta_1+\theta_2+\theta_3=180[/tex]
Therefore
[tex]55 \textdegree+\theta_3+3*\theta_3+\theta_3=180[/tex]
[tex]\theta_3=25 \textdegree[/tex]
Therefore
Substitute [tex]\theta_3[/tex] into equations of [tex]\theta_1[/tex] and [tex]\theta_2[/tex]
For [tex]\theta_1[/tex]
[tex]\theta_1=55 \textdegree+25 \textdegree\\\\\theta_1=80 \textdegree[/tex]
For [tex]\theta_2[/tex]
[tex]\theta_2=3*\theta_3[/tex]
[tex]\theta_2=3*25 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
in conclusion
The measures of the angles are as follows
[tex]\theta_1=80 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
[tex]\theta_3=25 \textdegree[/tex]
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8 7/90 in decimal form
Answer:
0.07–
Step-by-step explanation:
The answer is above :)
Answer:
to express in decimal form , we have to join convert the mixed fraction into a improper fraction.
8 7/90 = d * w + n
= 90 * 8 + 7
= 720 + 7
= 727 / 90
now you have to make the denominator into a mutiple of 10
= 727 / 90 divided by 9
= 80 / 10
= 0.80
Step-by-step explanation:
hope it helps .
Which graph represents the solution set for the compound inequality below?
Answer:
Option 1
Step-by-step explanation:
First inequality:
-x/3>=-3 => x<9
Second inequality:
x>=17
Tisha paid $10.50 for 6 liters of her favorite soda. To the nearest cent, how much did 3 liters of her
favorite soda cost?
Answer:
$5.25
Step-by-step explanation:
Step 1:
10.50 / 6 = x / 3 Equation
Step 2:
6x = 31.5 Multiply
Step 3:
x = 31.5 ÷ 6 Divide
Answer:
x = 5.25
Hope This Helps :)
Brooke purchased 16 boxes of a popular novel to sell at her bookstore. If each box weighs 29.5 pounds, what is the total weight of all of the boxes of books? A. 483.8 pounds B. 456 pounds C. 472 pounds D. 488 pounds
Answer:
C. 472
Step-by-step explanation:
16x29.5=472
Write an expression for the perimeter of the triangle shown below: (4 points)
A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.
A 6.9x − 16
B 6.9x + 16
C 0.1x − 16
D 0.1x + 16
Answer:
The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C
Step-by-step explanation:
The perimeter of a triangle is the sum of the lengths of its sides
Let us solve the problem
∵ The lengths of the sides of a triangle are:
0.5x + 93x-3.4x - 25∵ The perimeter of the triangle = sum of lengths of its sides
∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)
→ Add the like terms
∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)
→ Remember (+)(-) = (-)
∴ The perimeter = (3.5x - 3.4x) + (9 - 25)
∴ The perimeter = 0.1x + -16
∴ The perimeter = 0.1x - 16
The expression of the perimeter of the triangle is 0.1x - 16
Answer:
C.
Step-by-step explanation:
0.1x − 16
Question 26 (1 point)
Find the distance between points P(7.1) and Q(5,7) to the nearest tenth.
PQ =
Answer:
The answer is 6.3 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
P(7,,1) and Q(5,7)
We have
[tex] |PQ| = \sqrt{ ({7 - 5})^{2} + ({1 - 7})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 6})^{2} } \\ = \sqrt{4 + 36 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{40} \: \: \\ = 2 \sqrt{10} \\ = 6.32455532...[/tex]
We have the final answer as
6.3 units to the nearest tenthHope this helps you
Answer:
PQ=1.4 I think
Step-by-step explanation:
Need some help plzzzz
how to find the square root of 1225
Answer:
35
Step-by-step explanation:
The square root is 35 because if you multiply 35 times 35 ([tex]35^{2}[/tex]), it would equal 1225.
Hope this helps and pls do mark me brainliest if you can:)
A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2 over 25 . How many blue marbles are in the bag?
Given:
Total number of marbles = 15
Probability of randomly selecting a green marble = [tex]\dfrac{1}{5}[/tex].
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = [tex]\dfrac{2}{25}[/tex].
To find:
The number of blue marbles.
Solution:
Let the number of blue marbles be x.
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P(Blue)=\dfrac{x}{15}[/tex]
It is given that,
[tex]P(Green)=\dfrac{1}{5}[/tex]
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is [tex]\dfrac{2}{25}[/tex]. So,
[tex]P(Green)\times P(Blue)=\dfrac{2}{25}[/tex]
[tex]\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}[/tex]
[tex]\dfrac{x}{75}=\dfrac{2}{25}[/tex]
Multiply both sides by 75.
[tex]\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75[/tex]
[tex]x=2\times 3[/tex]
[tex]x=6[/tex]
Therefore, the number of blue marbles in the bag is 6.
Which of these items is the better buy? A. An 8-pack of glue sticks for $3.99 or 1 glue stick for $0.54? B. A 12-pack of tape for $2.50 or 1 roll of tape for $0.19 c. A 100-pack of pencils for $4.88 or 1 pencil for $0.05 d. A 50-pack of paper clips for $0.89 or a 25-pack of paper clips for $0.45
Answer: A is the 8-pack, B is the single roll, C is the 100 pack, D is the 50 pack.
Step-by-step explanation:
For each of these, multiply the smaller number by a number that has a product of the bigger number, example D. multiply 25 by 2 to get 50, then compare the totals.
Answer:
the first one is an 8 pack of glue sticks
the second one is 1 tape roll for .19
the third one is 100 pack of pencils for 4.88
the fourth one is a 25 pack of paper clips
Step-by-step explanation:
Gregory applies honey to one side of his toast. He wants to estimate the likelihood that the toast will land with the honey side facing up when dropped. He drops the toast 40 times and finds that it lands with the honey side facing up 8 times. From this data, it is that the toast will land with the honey side facing down.
Answer:
A) likely
Step-by-step explanation:
It is likely that the toast will land with the honey side facing down. This is because if we find the percentage of chance/probability of the honey side facing down using the data provided it would be the following...
8 / 40 = 0.20 .... times 100 to find percentage value
0.20 * 100 = 20%
We see that there is a 20% that the honey side will land facing down every time that you drop the piece of toast. This means that there is an 80% chance that the honey side will land facing down which is ultimately a high probability and a very likely chance of it happening.
Answer:
It is likely, I got it right on the test.
Step-by-step explanation:
a
(
n
)
=
c
−
5
+
6
(
n
−
1
)
a
(
n
)
=
c
-
5
+
6
(
n
-
1
)
Answer:
what should we have to do here
I don't understand
The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). After a translation of 6 units left and 2 units down, triangle FGH becomes triangle F'G'H'. After a translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"G"H". What translation would move triangle FGH to triangle F"G"H" directly? a. 6 units left and 2 units down c. 5 units left and 3 units up b. 1 unit left and 5 units up d. 2 units right and 6 units down Please select the best answer from the choices provided A B C D
Answer:
c. 5 units left and 3 units up
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is translation, rotation, reflection and rotation.
If a point A(x, y) is translated a units right and b units up, the new location is at A'(x+a, y+b), while if a point A(x, y) is translated a units left and b units down, the new location is at A'(x-a, y-b)
The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). A translation of 6 units left and 2 units down, triangle FGH becomes triangle F'(-2, -1) G'(-6, 1) H'(-4, -3). A translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"(-1, 4) G"(-5, 6) H"(-3, 2)
The translation of FGH to F"G"H" is a translation of (x -5, y + 3), that is 5 units left and 3 units up
7y + 2x − 10y + 3x^2 − 10x.
Answer:
67
Step-by-step explanation:
Answer:
3x² - 8x - 3y
write a situation to represent the equation y=0.5x
Answer:
John went out to buy apples, the apples at the store each costed 0.5 dollars. How much money did John spend if he bought 50 apples?
Pretty simple, hopefully it is good enough, hope this helps!
A line's equation is a unified representation of all of the line's points.
Find the equation of the line pass though origin and slope 1/2 ?
What is the Equation of a Line?A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general form, which is of the form ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tan.To learn more about : Equation of a line.
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You have 80 feet of fencing to keep your dogs enclosed.
The length must be twice the width. What should the
width be?(please help due tonight and show work!)
Answer:
Twice something means multiply by 2 , you have 80 feet of fencing all together so half of 80 is 40 . Then take 40 and times it by 2 . which comes out to 80 .
(Just copy and Paste)
Step-by-step explanation:
What is the area of this figure?
9 m
7 m
6 m
2 m
5 m
6 m
3 m
5 m
Write your answers using decimals, if necessary.
The total area of the composite figure made up of triangle, rectangle and square is; 106 m²
What is the Area of the Composite Figure?The area of the Triangle is;
A_t = (1/2) * (6 + 4) * 9
A_t = 45 m²
Area of Square;
A_s = 5 * 5
A_s = 25 m²
Area of Rectangle is;
A_r = 6 * 6
A_r = 36 m²
Total Area = 45 m² + 25 m² + 36 m²
Total Area = 106 m²
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A car's gas tank, which can hold 14 gallons of gas, contains 4 gallons of gas when the driver stops at a gas station to fill the tank. The gas pump dispenses gas at a rate of 5 gallons per minute. The equation g = 5t + 4 gives the number of gallons of gasoline g in the tank as a function of the pumping time t(in minutes).
Answer:
2minutesStep-by-step explanation:
Since the expression for the amount of gas in the tank is given as
g = 5t + 4
we already know that g=14 which is the capacity of the tank
so let us put g=14 we have
14=5t+4
solving for t, which is the time taken to fill up the tank that already has 4 gal already we have
14=5t+4
14-4=5t
10=5t
t=10/5
t=2min
Therefore the time taken to fill the tank is 2minutes
There are 6 boys for every 7 girls on a playground. How many boys and girls could be playing on the playground?
its due in 20 min pls help me
Answer:
should be 1
Step-by-step explanation:
its constant meaning its an exact slope
and it runs through intersections every 1-1
so the answer is 1 because 1 over 1 in a fraction is still 1
the slope is positive because as you move to the right, the graph goes up
the slope is rise/run = 3/3 = 1
the slope of the line is 1
hope this helps!
Write the following in point-slope form, slope-intercept form, and standard form. (-2,9) m= -1
Answer:
x + y = 6
Step-by-step explanation:
9 = -2(-1) + b
9 = 3 + b
b = 6
y = -1x + 6
x+y =6
if x=21 then y=49. What is the value of x when y=56?
Answer:
24
Step-by-step explanation:
set them up as a fraction.
21/49=x/56
cross multiply: 21*56=49x
1176=49x
divide both sides by 49
x=24
Answer:
28
Step-by-step explanation:
notice that when x=21 thats 3x7=21
then when y=49 thats 7x7
so when y=56 that's 8x7
notice there is a patter of 7 being used? there are probably a lot of other patterns that would also work.. but. if your class is working on multiplying by 7 , then this is probably the right pattern.
from the above pattern, then,
x=4x7 when y=56
x=28
What is the quotient of 2/3 and 5/6;
A.1 4/5
B.4/5
C.5/9
D.1 1/4
Heeeeeeeeeeeeeeeeeeeelp asap due today at 7
Answer:
1. 3 hours
2. i cant figure this one out
Step-by-step explanation:
Answer:
Haha
Step-by-step explanation:
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5. 27a3+216b3 ???
tomorrow is the submission :(
Answer:
(3a +6b) (9a² - 18ab + 36b²)
Step-by-step explanation:
27 = 3 * 3 * 3 = 3³
216 = 6 * 6 * 6 = 6³
a³ + b³ = (a + b)(a² - ab + b²)
27a³ + 216b³ = (3a)³ + (6b)³
= (3a + 6b)( (3a)² - 3a*6b + (6b)² )
= (3a +6b) (9a² - 18ab + 36b²)
help i do nut understand
Answer:
500$ is the answer....
Answer:
$60 and $560
Step-by-step explanation:
Prt= Interest
(500)(0.04)(3)= $60
A = P(1 + rt)
A = 500 (1 + 0.04(3))
A= $560
Question Details
An atom of hydrogen has a mass of about 1.66 x 10^-25
grams. An atom of oxygen has a mass of about 2.656 x
10^-23 grams. How many times the mass of the
hydrogen atom is the mass of the oxygen atom? Give
your answer in scientific notation.
HELP
Answer:
Atomic mass unit-
It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.
Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.
1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.
Atomic mass of an element = mass of one atom of the element / 1 amu
Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.
For ex-
Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.
Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.
Average Atomic weight (Mass)-
“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”
Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.
Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100
= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100
Average atomic mass= 12.011 amu
Molar volume –
Molar volume of a substance is volume occupied by 1 mole of that substance .
Molar volume of solid or liquid = molar mass / density
Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.
Gram atomic mass(weight) or gram atom –
“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”
Ex –
mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm
Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.
Hence, Gram atomic weight of oxygen = 16 gm.
No. of gram atoms = mass of element in gm / atomic mass of element in gm.