For a triangle to be equilateral all its angle should be same which is 60° but for them to be congruent their sides should also be same in measure.
Therefore two equilateral triangles are not always congruent with one another as because there can be difference in the measure of their sides.
The sum of angles of a triangle is 180 degree which is the sum of angles of the triangle's three angles.
There are three types of triangles based on different aspects .
Based on the lengths of their sides, triangles can be classified as
ScaleneIsoscelesEquilateralAs in an equilateral triangle all of the sides are of the same length. and all the angle measure will be 60 degrees. An equilateral triangle is also known as an equiangular triangle since its angles are all the same.
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answer anybody?? i can't do math like at all lol
Essentially, what we're looking at here are two alternate interior angles.
Wait. What? Alternate interior angles?
It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.
Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.
Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.
If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:
7x - 7 = 4x + 14
Subtract 4x from both sides:
7x - 4 x - 7 = 4x - 4x + 14
3x - 7 = 14
Add 7 to both sides:
3x - 7 + 7 = 14 + 7
3x = 21
Divide both sides by 3 to completely isolate x:
[tex]\frac{3x}{3}[/tex] = [tex]\frac{21}{3}[/tex]
x = 7
And that's our answer! If you need me to explain anything any further, just ask!
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Which equation best represents the relationship between x and y shown in the table.
Answer:
the answer is D) y=2x+2
as
2=2*0+2
10=2*4+2
18=2*8+2
hope this helps
What is the approximate area of the shaded sector in the circle shown below?
A. 22.90 cm2
5.4 cm
B. 8.48 cm2
c
C. 11.45 cm2
180°
D. 16.96 cm2
Answer:
The correct answer is [tex]11.45 cm. ^2[/tex]
Step-by-step explanation:
I just got it correct.
The approximate area of the shaded sector in the circle shown is,
⇒ 11.45 cm²
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
A circle is shown in figure with diameter 5.4 cm.
Hence, Radius of circle = 5.4 / 2 = 2.7 cm
Since, Area of circle = πr²
Hence, We get;
Area of circle = πr²
Area of circle = 3.14 × 2.7²
Area of circle = 22.89 cm²
Thus, Area of shaded region of the circle is,
⇒ 22.89 cm²
⇒ 22.89/2 cm²
⇒ 11.45 cm²
Thus, The approximate area of the shaded sector in the circle shown is,
⇒ 11.45 cm²
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plzzz help square paralellogram
Answer:
1. x=12
2. x=7
Step-by-step explanation:
PLZ HELP
Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.
x 1 2 3 4
f(x) 81 72 63 54
Arithmetic, common difference = 9
Arithmetic, common difference = −9
Geometric, common ratio = 9
Geometric, common ratio = −9
Answer:
The second item is the correct one , i mean arithmetic , common difference = -9 .
Step-by-step explanation:
Hope this helps u , good luck ;)
Answer:
The correct option among the others is B
Step-by-step explanation:
Given that -5 < -3, which statement is not true?
-5 is to the left of -3 on the number line.
-3 is to the right of -5 on the number line.
-3 > -5
-3 is less than -5,
Answer:
-3 is less than -5
Step-by-step explanation:
the bigger the negative number is, the less it has a great amount of value.
-3>-5 is correct because -3 is greater than -5
-5 is to the left of -3 on the number line is true
-3 is to the right of -5 on the number line is true as well
hope this helps! : )
HELP ASAP ILL MARK BRAINLIEST
What is the distance between tho y-Intercept of the function (x) = 3(2) and tho y-intercept of the the function g(x) represented by the table below?
х
g(x)
-5
15
- 2
3
2
-13
и |
-25
2 units
3 units
O 8 units
O 9 units
Im pretty sure its 8 units
find the length of the arc shown in red ASAP
Answer: 16.75
Step-by-step explanation:
you might need to round up to 17 if 16.75 isn't an answer on your assignment
Please Help ASAP!!!!!!!!
Answer:
2 i think
Step-by-step explanation:
How many years would 18 months be?
1.5 years
1.8 months
about 2 years
Answer:
18 months=1.5 years
Step-by-step explanation:
I hope this helps
Answer:
1.5 years
Step-by-step explanation:
1 year = 12 months
18/12 = 1[tex]\frac{6}{12}[/tex] = 1.5 years
7,945100 is equal to which number?
7,945
79.45
0.7945
7.945
Answer:
7.945 Million the answer. yah...
Which organisms are examples of decomposers?
A. rabbits
B. lions
C. fungi
D. trees
Answer:
C. fungi
Step-by-step explanation:
Here only Fungi is an example of decomposer.
Rabbits and lions are examples of consumers.
Trees are an example of producers.
The following list defines and provides examples of the feeding (trophic) levels that comprise food webs:
Producer: organism on the food chain that can produce its own energy and nutrients. Examples: grasses, Jackalberry tree, Acacia tree
Primary consumer/herbivore: organism that eats mainly plants. Examples: cows, impalas, warthogs, zebras
Secondary consumer/carnivore: organism that eats meat. Examples: leopard, lion
Omnivore: organism that eats a variety of organisms, including plants, animals, and fungi. Examples: humans, aardvarks
Decomposer/detritivores: organisms that break down dead plant and animal material and waste and release it as energy and nutrients in the ecosystem. Examples: bacteria, fungi, termites
Scavenger: animal that eats dead or rotting animal flesh. Examples: vultures, hyenas
Insectivore: organism that mostly eats insects. Example: Red-billed oxpecker
Answer:
C. Fungi
B. Lions
Step-by-step explanation:
C. fungi are called decomposers because they break down the dead and decaying organic matter into simpler substances such as carbon dioxide, water, simple sugars, and mineral salts and provide the nutrients back to the soil
B. A decomposer is a living thing that gets energy by breaking down dead plants and animals, lions eat other animals to get energy.
Ed turns 34 and deposits $100 at the end of each month in IRA that earns 9% interest p.A compounded monthly. Find how much will be in the IRA if Ed retires at the age 60.
Answer:
FV= $123,879.85
Step-by-step explanation:
Giving the following information:
Montlhy deposit (A)= $100
Monthly interest rate (i)= 0.09/12= 0.0075
Number of periods (n)= 12*26= 312 months
To calculate the future value, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.0075^312) - 1]} / 0.0075
FV= $123,879.85
Za and Zb are complementary angles. Za measures 37°.
What is the measure of Zb?
Answer: 53 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. Subtract Za from the 90. 90-37=53.
Una comercializadora de café necesita construir una bodega con forma de cubo. La capacidad de la bodega debe ser de 216 metros cúbicos ¿cuánto debe medir la arista de la bodega?
Answer:
La arista de la bodega debe medir 6 metros.
Step-by-step explanation:
Podemos encontrar la arista de la bodega sabiendo su volumen:
[tex] V = a^{3} [/tex]
En donde:
V: es el volumen de un cubo = 216 m³
a: es la arista del cubo =?
La arista del cubo es:
[tex] a = \sqrt[3]{V} = \sqrt[3]{216 m^{3}} = 6 m [/tex]
Por lo tanto, la arista de la bodega debe medir 6 metros.
Espero que te sea de utilidad!
The point (3,2) reflected in the x-axis is (
,
).
Reflect (3,2) in the y-axis.
The point (3,2) reflected in the y-axis is (
,
).
Answer:
reflected across the x-axis is 3,-2 and the y axis is -3,2
Step-by-step explanation:
When you reflect over the X axis it will stay the same numbers but change the Y axis sign. the same thing happens to the y -axis but the x changes siogns instead
A box plot is shown below: A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 25 to 39 on the number line. A line in the box is at 33. The whiskers end at 20 and 44. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors. What is the median and Q1 of the data set represented on the plot? Median = 30; Q1 = 20 Median = 33; Q1 = 20 Median = 30; Q1 = 25 Median = 33; Q1 = 25
Answer:
the answer is the last one median= 33; Q1= 25
PLEASE HELP DUE MONDAY
P is a function that gives the cost, in dollars, of mailing a letter from the United States to
Mexico in 2018 based on the weight of the letter in ounces, w.
1. How much does it cost to send a letter
that weighs 1.5 ounces? 2 ounces?
2. Sketch a graph of the function on the
coordinate plane
postage (dollars)
Answer:
1: 1.5 would be 1.72 and 2 would also be 1.72.
2: Draw points at (0,1.15) (1, 1.72) (2, 2.29) (3, 2.86) Flatline Connections
Step-by-step explanation:
If Im reading it right you take 1.5 ounces and plug it into the function (it would be between 1 and 2) it would spit out 1.72 (which I'm assuming is the postage)
It will cost
(i) $1.72 if weight is 1.5 ounces,to send a letter.
(ii)$1.72 if weight is 2 ounces, to send a letter.
first, let us find a relation between postage(dollars) and weight(ounces)
this is an equation of a straight line passing through (0,1.5) and (2,0).
y=mx+c
[tex]P(w)=\frac{1.5-0}{0-2} x + c\\\\P(w)=-0.75x+c\\\\[/tex]
since it passes through (2,0) it will satisfy the equation
therefore, c =1.5
the equation will be: [tex]P(w)=-0.75w+1.5[/tex]
after we merge both the relations, we find a single relation between cost and weight
since the cost value is 1.72 in 1 <w [tex]\leq[/tex]2
if weight is 1.5 ounces it is clearly $1.72
if weight is 2 ounces it is clearly $1.72
therefore, it will cost
(i) $1.72 if weight is 1.5 ounces,to send a letter.
(ii)$1.72 if weight is 2 ounces, to send a letter.
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the inequality sign.
If you multiply or divide both sides of an inequality by a negative number, you must
А
double
reverse
С
subtract
D
add an equal sign to
David made a batch of 5 liters of blue liquid everyday for 3 days how many milliliters of blue liquid did he make in all
Answer: 15000 millimeters
Step-by-step explanation:
Since David David made a batch of 5 liters of blue liquid everyday. The number of liters that'll be made for 3 days will be:
= 5 liters × 3
= 15 liters
We should note that 1000 millimeters = 1 liter. Therefore, 15 liters will be converted to millimeters which will be:
= 15 × 1000
= 15000 millimeters
Analyze the diagram below and complete the instructions that follow.
S
T
U
vo
ro
R
If ARST is an equilateral triangle, find x and y.
Answer:
x = 120
y = 30
Step-by-step explanation:
Given that RST is equilateral, each of its interior angles will be 60 degrees
Looking at x, it lies on a starting line with one of the interior angles of RST
The sum of angles on a straight line is 180
Thus;
x + 60 = 180
x = 180-60
x= 120
Looking at triangle RSU, the markings indicates that we have an isosceles triangle
For an isosceles triangle, the base angles are equal in value
This means that SRU is also y
Mathematically, the sum of angles in a triangle is 180
Hence;
x + y + y = 180
x + 2y = 180
120 + 2y= 180
2y = 180-120
2y = 60
y = 60/2
y = 30
Which table represents a linear function?
Answer:
the first one on the top left corner
it it bc on the right side of the table is counting by twos and so therefore on the left should be added 2 with that number
Answer:
Top left.
Step-by-step explanation:
Because it's constant. X increases by 2 and y increases by 3.
Convert radians to degrees
Show all the work
6. 3.8 radians
8. 5π/4(this is a fraction)
Answer:
Below in bold.
Step-by-step explanation:
Degrees = radians * 180/π.
6. 3.8 radians = 3.8 * 180 / π
= 217.7 degrees to nearest hundredth.
8. 5π/4 radians = 5π/4 * 180/π
= 5*180/4
= 225 degrees.
Please answer this ASAP !!
Thank you (picture attached).
Answer:
y=12.25x
i cannot see the question but the slope will be the increase of the certain product
the y is the dependent factor that will increase due to the slope/x-intercept
Step-by-step explanation:
Translate story problems into equations. Solve equations. Translate story problems into inequalities.
Step-by-step explanation:
solve inequalities
by:
Add (or subtract) a number from both sides
Multiply (or divide) both sides by a positive number
Simplify a side
A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52°. How far away is the man from the spot directly under the kite?
Answer:
61.57 ft
Step-by-step explanation:
Look at the picture. You need to find the base value.
so we can sue the cosine formula here.
cos x° = adjacent / hypotaneous
cos 52 ° = adj / 100
adjacent = 100 cos 52°
=61.57 ft
Answer:
the man is 61.6 ft away from the spot directly under the kite.
Step-by-step explanation:
in order to find the bottom length which is b we need to First find the height of this right angle triangle.
to find the height we need to use sin:
sin 52° = X/100
sin 52° * 100 = h
h= 78.8 ft
next we can find b which is the base of the triangle.
a^2+b^2=c^2
100^2 +b^2 = 78.8^2
100^2 -78.8^2 = b^2
b^2= 3790.56
b= √3790.56
b= 61.6 ft
therefore the man is 61.6 ft away from the spot directly under the kite.
The legs of a right triangle have lengths x and x + 2. If x = 6, what is the length of the hypotenuse?
A. 4
B. 6
C. 8
D. 10
Once sales tax is included, a $500 fancy watch ends up costing $525. What is the sales tax
percentage?
Answer:
5%
Step-by-step explanation:
since 25 is 5% of 500, the sales tax is 5%.
4(x+2)=4x+8 need help
Answer:
True
Step-by-step explanation:
Any value of x makes the equation true
All Real numbers
(-∞)(∞)
Alicia’s family wants to save for a four-year college education for her. After some research, they estimate that the total cost will be about $78,000. How much should her family save if she is 12 years old and plans to go to college in 6 years?
Select one:
$6,500 each month
$1,100 each month
$4,350 each month
$550 each month
Answer:
Step-by-step explanation:
$1,100