Answer:
In the SAS congruence criterion, you must show that two pairs of sides are equal and their included angles are equal as well. But In the SAS similarity criterion, you must show that two pairs of sides are proportional and their included angles are equal.
Step-by-step explanation:
Solution: In the SAS congruence criterion, you must show that two pairs of sides are equal and their included angles are equal as well. But In the SAS similarity criterion, you must show that two pairs of sides are proportional and their included angles are equal.
Solve the following multiplication problem.
9 cu yd 17 cu in
x 135
After converting the Units, we get 69,286,455 cu inches as the answer
What are Units?The rightmost position in a number or the number one can be considered a unit in mathematics. An individual thing or person that is viewed as distinct and whole but also a component of a total or group is another definition of a unit. When discussing an item's unit price, the word "unit" is also used. It refers to the price per unit, liter, or kilogram. Unit conversion is a multi-step process that includes rounding, selecting the appropriate number of significant digits, and multiplying or dividing by a numerical factor. NIST SP 1038 describes this multi-step method in detail, along with a rounding approach for technical publications, specifications, and other uses including packaged goods in the commercial marketplace and temperature.Converting yards into inches, we get:
1 cu yard = 46656 cu inches
11 cu yard = y cu inches
Cross-multiplying, we get:
y = 11 x 46656
y = 513216 cu inches
Now, total inches would be = 513216 + 17 = 513233 cu inches
Multiplying total inches by 135, we get:
513233 x 135 = 69,286,455 cu inches
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What is the slope in the equation y = 2x + 3
Ravi makes lemonade by mixing lemon juice and water.
For every 1 cup of lemon juice, he uses 4 cups of water.
Drag the correct number of each ingredient into the box that would make 10 cups of
lemonade.
What is the length of the side opposite the 45° angle?
Answer:
Step-by-step explanation:
c = b·sin(C)
c= 10Sin(45
c=7.071
So the side length opposite to the 45 degree angle is 7.071 :)
https://www.calculator.net/triangle-calculator.html
^this website is perfect for questions like these^
Good luck with the rest of your work!
Suppose that 43% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 38% end up investing in bonds, and 51% end up investing in stocks or bonds (or both). What is the probability that a person who inquires about investments at this firm will invest in both stocks and bonds?
Mrs. Hamilton shows her students this graph and asks them to determine how figure A was transformed to figure B.
On a coordinate plane, triangle A has points (negative 1, 0), (negative 2, 4), (negative 1, 4). Triangle B has points (3, 1), (3, 5), (4, 5)..
Marcus suggests that figure A was reflected over the y-axis and then translated 2 to the right and 1 up. Julianne agrees, and states that the transformations could happen in any order. Which best describes the accuracy of Julianne’s statement?
Accurate. A translation of figure A of 2 to the right and 1 up and then a reflection over the y-axis produces the image, figure B.
Accurate. A reflection over the y-axis and then a translation of 1 up and 2 to the right produces the image, figure B.
Inaccurate. A translation of 2 to the right and 1 up and then a reflection over the y-axis results in a figure that is located in the second quadrant.
Inaccurate. A reflection over the y-axis and then a translation of 1 up and 2 to the right results in a figure that is located in the second quadrant.
On a coordinate plane, triangle A has points (negative 1, 0), (negative 2, 4), (negative 1, 4). Triangle B has points (3, 1), (3, 5), (4, 5)
The best accuracy for the transformation is; Accurate. A reflection over the y-axis and then a translation of 1 up and 2 to the right produces the image, figure B.
What transformation was used on the figure?
In a translation transformation, all the points in the object are moved in a straight line in the same direction. The size, the shape and the orientation of the object remain the same.
In this question, the points on triangle A are: (-1, 0), (-2, 4) and (-1, 4).
Marcus' translation is as follows:
Reflection over the y-axis which is x → -x and the points are: (1,0), (2,4) and (1,4).2 units to the right which is x → x + 2 and as such the points are: (3, 0), (4,4) and (3,4).1 unit up which is y → y + 1 and as such, the points are (3,1), (4,5) and (3,5).The points are the same of triangle B, hence the statement is accurate. According to the order of the translations, the second statement is correct.
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Writing Exercises
353. Why does (a + b)² result in a trinomial, but (a − b)(a + b) result in a binomial?
Answer:
In [tex]$(a+b)^{2}$[/tex] is obtained by addition therefore result is trinomial while in (a-b)(a + b) the middle terms are canceled out of each other therefore result is binomial.
Step-by-step explanation:
Explanation
Given that [tex](a+ b)^{2}$[/tex] results in a trinomial, but (a-b)(a-b) results in a binomial.An expression [tex]$(a+b)^{2}$[/tex] when multiply and simplify it is equal [tex]a^{2}+a b+a b+b^{2}=a^{2}+2 a b+b^{2}$[/tex] therefore it is trinomial. Here middle term is obtained by addition. While an expression (a + b) (a-b) when multiply and simplify it is equal to [tex]$a^{2}-a b+a b+b^{2}=a^{2}+b^{2}$[/tex]therefore it is binomial because the middle that is positive ab is canceled by negative ab.Please help.
True or false
Answer:
True
Step-by-step explanation:
That is the distance formula.
Answer:
FALSE
Step-by-step explanation:
Distance Formula: [tex]\sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2}[/tex]
helppp solve step 2 and 3 pleasee quick
Answer:
Step-by-step explanation:
Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret message by matching the answer with the corresponding letter/symbol from the exercises.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1st.) x = 5 /Sin(30°)
x = 10
!) sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°) = 3√3 / x
x = 3√3 / 3
W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3 = 4√3 / 3
S) Sin(60°) = x / (10/3)
x = 5√3 / 3
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a pole that is 3m tall casts a shadow that is 1.72m long. at the same time, a nearby building casts a show that is 50.5 m long. how tall is the building
Answer:
88.08 m tall
Step-by-step explanation:
Pole:
tall/long
3/1.72
Building:
tall/long
x/50.5
Solve for x:
3/1.72 = x/50.5
1.72x = 151.5
x ≈ 88.08
Find two negative odd integers such that 5 times the first plus the square of the second equals -14
The two negative odd integers such that 5 times the first plus the square of the second equals -14 are: -3 and -1.
What are negative odd integers?In a multiplication or division issue, an odd number of negatives will always result in a negative odd integer.
A negative odd integer carries a negative sign and is not exactly divisible by 2.
According to the question, an equation can be formed as follows:
[tex]5a+b^{2}=-14[/tex]
Here, a and b are the two negative odd integers.
Let a= -3 and b= -1,
[tex]5a+b^{2}=5(-3)+(-1)^{2}\\[/tex]
= -15+1
= -14
Thus, the required negative odd integers are -3 and -1.
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In the expansion of (2a + 3b), which of the following are possible variable terms? Explain your reasoning.
a²b³; a5b³; ab8; b8; a4b4; a8; ab7; a6b5
The possible variable terms are a^5b^3, b^8, a^4b^4, a^8, ab^7
How to determine the possible variable term?The expression is given as:
(2a + 3b)^8
The power of the above expression is 8
When expanded, the sum of powers on each variable must be 8.
Using the above explanation, we have the following possible variable terms:
a^5b^3, b^8, a^4b^4, a^8, ab^7
This is because the sum of powers equals 8
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What is 3(4x-2x)
5+3*2 simplified?
Answer:
30x+6Step-by-step explanation:
What is 3*(4x-2x)*5+3*2 simplified?
3*(4x-2x)*5+3*2=
3*2x*5+6 =
6x*5+6=
30x+6
What is the ratio of the area of the inner square to the area of the outer square?
The area of the inner square to the area of the outer square ratio is: [tex]\frac{(a-b)^2+b^2}{a^2}[/tex]
Given a figure in which an inner square is inscribed inside the outer square.
The area of a square is the product of the two sides of the square. Also known as side square.
Firstly, we will find the side of the inner square by finding the distance between the points (0,b) and (a-b,0)
S₁=√(a-b-0)²+(b-0)²
S₁=√(a-b)²+b²
Now, we will find the area of the inner square, we get
The area of the inner square=(side)²
A₁=(S₁)²
A₁=(√(a-b)²+b²)²
A₁=(a-b)²+b²square cm.
Further, we will find the side of the outer square by finding the distance between the points (0,0) and (a,0).
S₂=√(a-0)²+0²
S₂=√a²
S₂=a
Furthermore, we will find the area of the outer square, we get
The area of the outer square=(side)²
A₂=(S₂)²
A₂=a² square cm.
Hence, the area of the inner square to the area of the outer square ratio is [tex]\frac{(a-b)^2+b^2}{a^2}[/tex].
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Add: (3g^8-4h) + (-6g*8)
pls answer asap
The sum of the expression is 3g^8 - 4h - 48
How to add the expressionGiven that;
(3g^8 - 4h) + ( -6 × 8)
Expand the brackets,
3g^8 - 4h - 6 × 8
Multiply the values
3g^8 - 4h - 48
Therefore, the sum of the expression is 3g^8 - 4h - 48
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After 1 year, $70,060 deposited in a savings account with simple interest had grown to a total of $77,136.06. What was the interest rate?
Answer:
10.1%
Step-by-step explanation:
Interest = PRT/100
Interest = 77136.06 - 70060 = 7076.06
Interest = PRT/100
7076.06 = [(70060) × R × 1] / 100
7076.06 = 70060R/100
Cross multiply
(7076.06 × 100) = 70060R
707606 = 70060R
R = 707606/70060
R = 10.1%
find the unknown sizes of angles
(Urgently needed please help to solve)
Answer:
x=70, y=40, z=70
Step-by-step explanation:
So whenever you have a straight line, the angle is going to be 180 degrees, and whenever you have multiple angles that make up one angle, the sum of the multiples angles is going to be the angle of the one angle.
So let's look at x. The 180 degree angle consists of 110 degrees and x, the sum of these two should add up to 180 degrees, you can set up an algebraic equation to solve for x, but you can also do some simple mental math to see that x=70, so that 110+70=180. You do the same thing for the other angles
For y, you simply need to know 140+y = 180 so y=40
For z there is two methods, you can use the fact that opposite angles are congruent, or you can use the fact that the sum of the interior angles of a triangle is 180 degrees. This means that x+y+z=180 and since we know that x=70 and y=40 then 70+40=z so 110+z=180 so z=70, which is also the same as the opposite angle, you could use either method although knowing that opposite angles are congruent is much more easier. It's called the vertical angles theorem.
HELP GEOMETRY) Fill in the blanks:
Measure of angle GFJ is ___ degrees.
Measure of arc FH is ___ degrees.
Part 1
By the inscribed angle theorem, arc GFJ measures 55 degrees.
Part 2
By the inscribed angle theorem, arc FH measures 72 degrees.
Probabilities that are based on short-run relative frequencies are called what?.
Empirical probabilities is the name given to the probabilities that are based on short-run relative frequency.
Long-run relative frequency probabilities are called theoretical probabilities, whereas short-run relative frequency probabilities are called empirical or experimental probabilities.
Experimental probability: A probability that is based on past evidence is referred to as empirical probability, often referred to as experimental probability. In other words, based on past events, empirical probability depicts the possibility of an occurrence recurring. Theoretical probability: Probability that is established using logic is known as theoretical probability.Thus, Empirical probabilities is the name given to the probabilities that are based on short-run relative frequency.
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Question in the picture please help
The tabulated form of Two column proof attached below.
Two column proof is just tabulated form of statements and reason.
We are adding the key points to the table. As per the required questions
Thus the table formed by is attached below.
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Match the systems of equations with their solution sets.
Answer:
1. y + 12 = x^2 + x
2. y - 17 = x^2 -9x
3. y + 5 = x^2 - 3x
4. y - 15 = -x^2 + 4x
In the rhombus below, solve for x and y. (Round to the nearest tenth as needed.)
The value of x and y in the rhombus are 5 and 25 respectively.
How to find the angles of a rhombus?The sum of angles of a rhombus is 360 degrees. The opposite angles of a rhombus is equal.
Therefore,
11x = 55
x = 55 / 11
x = 5
Therefore,
5y + 5y + 55 + 55 = 360
10y + 110 = 360
10y = 360 - 110
10y = 250
y = 250 / 10
y = 25
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What is the value of 12⁰?
Hello,
Answer:
12⁰ = 1
Step-by-step explanation:
We have any number with exponent 0 = 1
(a⁰) = 1
The electric field strength between the plates of a simple air capacitor is equal to the voltage across the plates divided by the distance between them. When a voltage of 96.6 V is put across the plates of such a capacitor an electric field strength of 1.8 KV/cm is measured. Write an equation that will let you calculate the distance d between the plates.
The distance can be expressed in equation d=5.3*[tex]10^{-4}m[/tex].
Given voltage of 96.6 V and electric field strength of 1.8 KV/cm.
We know that d=V/E
We have to find the distance in equation form.
We know that electric field strength between the plates of a parallel plate capacitor is
E=V/d
Distance is the measurement between two sides or points.
where E=electric field strength
V=potential difference
d=distance between the plates
In equation form distance looks like:
d=V/E
from the question we are that V=96.6 V
E=1.8KV/cm.
Converting to V/m
E=180000V/m
d=96.6/180000
=0.00053
d=5.3*[tex]10^{-4}m[/tex].
Hence the distance can be expressed as d=[tex]5.3*10^{-4} m[/tex].
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Solve the rational equation
and check for extraneous solutions
5 = 4x+1
— ——-
x x^2
(1) x= 1; x = 0 is an extraneous solution
(2) x=0; x = 1 is an extraneous solution
(3) x= -1; x = 0 is an extraneous solution
(4) x=0; x = -1 is an extraneous solution
Answer:
1) x=1; x= 0 is an extraneous solution
Step-by-step explanation:
5 = 4x + 1
5 = 4 x 1 + 1
5 = 5
x = 1
______________________
x x^2
0 x 0^2
0 x 0 = 0
x = 0
:)
any sample proportion that is more than 1.96 standard errors from the popullation proportion will result in an
Any sample proportion that is more than 1.96 standard errors from the population proportion will result in a confidence interval that includes p.
In frequentist records, a confidence interval is more than a few estimates for an unknown parameter. A self-belief interval is computed at a chosen self-belief stage; the ninety-five% self-assurance stage is maximum commonplace, however other tiers, which include ninety% or ninety-nine%, are now and again used.
The confidence stage is the share of instances you expect to get near the identical estimate if you run your test again or resample the populace in an identical manner.
The confidence c programming language includes the higher and lower bounds of the estimate you anticipate locating at a given stage of confidence.
As an instance, in case you are estimating a 95% self-belief c language around the mean share of lady toddlers born every 12 months primarily based on a random sample of babies, you may find a top certain of zero.56 and a decrease certain of zero.48. those are the top and decrease bounds of the self-belief c programming language. The self-assurance level is 95%.
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I don’t know what to do can y’all help me out
Since the sum of both angles <ORQ and <SRQ is 180 degrees, hence the two angles that are supplementary are <ORQ and <SRQ
What are supplementary anglesSupplementary angles are angles that sums up to 180 degrees..
Since the line SR bisects the line OQ, hence the angle <ORQ and <SRQ are equal and equal to 90 degrees each,
Since the sum of both angles <ORQ and <SRQ is 180 degrees, hence the two angles that are supplementary are <ORQ and <SRQ
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can someone please help me, as well as factoring the expression
The value of U and V will be (x – 3) and 8y, respectively. Then the correct option is A.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression is given below.
⇒ (U + V)(U – V)
Where U and V are either constant or single variable expression.
Then the expression will be
⇒ U² – V²
Then the value of U and V will be (x – 3) and 8y, respectively.
Then the correct option is A.
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How many three digits numbers are divisible by 7? ( Please help )
Please give it step-by-step, I will give you a brainlist! Also some points!
Thank you,
Answer:
128 3 digit number which are divisible by 7
Answer:
128
Step-by-step explanation:
I just looked it up because the only way I know would take a lot of time.
Know the times table?
You can make a chart that starts from 100 to 999 and circle every single number you know can be divided by 7. That's 128 numbers.
I hope the answer helps, but I hope someone can actually find a formula or something for you to use. Best of luck.