True or false? A corollary is a statement that can be easily proved using a
theorem.
O A. True
OB. False
SUBMIT
answer to this question for anyone who needs it
Answers
The theorem can be used to readily show the corollary because, according to its statement, it considerably depends on it. Consequently, the assertion is accurate.
The given statement is True.
Is the meaning of corollary?The term "corollary" refers to an outcome that follows logically from another action. You could claim that your rediscovered passion of reading is a corollary to the recent opening of a bookstore in your area. The term corollary describes the result of an action, such as the need to study more as a corollary to receiving a poor grade.
Briefing:A theorem states that two angles that add up to 180° and form a straight line are regarded as "supplementary."
A corollary of this is known as the "Vertical Angle Theorem," which asserts that where two lines intersect, their angles across from each other are equal (in the diagram, a=c and b=d).
The theorem can be used to readily show the corollary because, according to its statement, it considerably depends on it. Consequently, the assertion is accurate.
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Related Questions
Which of the following combinations could
be three sides of a triangle?
Answers
Answer:
C
D
1,2,3,4,5,6 And 7
Step-by-step explanation:
1. By the nature of triangles, the sum of the two sides has to be greater than the third and the difference between two sides has to be less than the third side.
A. 5+6=11 Wrong
B. 1+3<5 Wrong
C. 5+16>20 Right
16-5<20
D.7+7=14 Wrong
2. Two sides of a Triangle are 15 and 8
A. 8+9>15 15-8<9 Can
B. 8+13>15 15-8<13 Can
C. 15+8>21 21-8<15 Can
D. 15+8<25 Cannot
3. According to the Trilateral Relation of Triangle
Let's say the length of the third side is X (X≠Z)
i. 4-4<x x>8 0<X>8 (X≠Z)
4-4>x x<8
i. In 0,1,2,3,4,5,6,7,8,9,10
X could be 1,2,3,4,5,6, and 7
TRIANGLE
A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon.
Each triangle has three sides and three angles, with some of the angles being the same.
In the case of a right triangle, the side opposite the right angle is known as the hypotenuse, while the other two sides are known as the legs.
Trilateral Relationship of Triangle
A trilateral is a shape with three sides in geometry. 'Of trilateral figures, an equilateral triangle is one with three equal sides, an isosceles triangle is one with two equal sides, and a scalene triangle is one with three unequal sides.'
Triangle Inequality
The triangle inequality asserts that the sum of the lengths of any two sides of a triangle must be larger than or equal to the length of the remaining side in mathematics.
The condition of the triangle's sides
According to the triangle inequality, the lengths of any two triangle sides must be more than or equal to the length of the third side. Only a degenerate triangle with collinear vertices can have that total equal to the length of the third side.
If and only if the side lengths satisfy the triangle inequality, a triangle with three given positive side lengths exists.
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given equation.
5x+2y=10
and passes through (-6, 7)
Answers
Line equation is 5x+2y=10. The point (-6,7). An equation line through the given point and parallel to the given equation is 5x+2y+16=0.
Given that,
Line equation is 5x+2y=10
The point (-6,7)
We have to find an equation line through the given point and parallel to the given equation, in slope-intercept form.
Take equation 5x+2y=10
2y=10-5x
y=(10-5x)/2
y=5-5/2x
The slope of the equation is -5/2
Now, the slope equation formula is
(y-y₁)=m(x-x₁)
Here,
m is -5/2
x₁=-6
y₁=7
We substitute in the formula
(y-7)=-5/2(x-(-6))
(y-7)=-5/2(x+6)
2(y-7)=-5(x+6)
2y-14=-5x-30
5x+2y=-30+14
5x+2y=-16
5x+2y+16=0
Therefore, an equation line through the given point and parallel to the given equation is 5x+2y+16=0.
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-c+8x evaluated please help m with this math problem
Answers
Answer:0.5
Step-by-step explanation:
Write 2.01 × 105 in standard form.
Answers
The correct answer in the standard form or notation of the given number is 2.1105 x 10^6.
How to write the standard notation?
In mathematics, the standard form or the standard notation of a number can be written as the power of ten by putting the decimal in the calculated number. And these numbers can be written in certain rules.
According to the question, to convert the decimal number to standard form by removing the decimal from the given number.
The required expression can be written as"
2.01 x 105 = 201 x 100 x 105 = 21105 x 10²
Hence, the correct answer in the standard form or notation of the given number is 21105 x 10².
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A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.
How much was deducted from the original price?
Answers
Answer:£7.80p
Step-by-step explanation:
To find 10% you would divide 13.00 by 10 which would give you 1.30.You then times that by 4 and the answer (£7.80)would be 40% off
Hope that Helps!!
a card is drawn randomly from a standard 52-card deck. find the probability of the given event. (a) the card drawn is 3 the probability is : (b) the card drawn is a face card (jack, queen, or king) the probability is : (c) the card drawn is not a face card. the probability is :
Answers
A card is drawn randomly from a standard 52-card deck. then the probabilities are a) 1/13 b) 3/13 and c) 10/13
There are four 3's in the deck. This means that, from 52 possible cards to drawn, we have 4 chances of drawing a 3. This means that the probability will be:
p = 4/52
p= 1/13
b.
For every suit, there are three face cards, J, Q and K. There are 4 suits, so, the total number of face cards its:
4*3 =12
The total possible cards are, still, 52, so, the probability will be
p= 12/52
p=3/13
c.
We know that the card drawn must be a face card, o not being a face card. There is no third choice here. So, the probability of drawing a face card OR not drawing a face card its:
p=52/52
p=1
so
p( the card is a face card ) + p( the card is not a face card) =1
but, we know that
p( the card is a face card ) =3/13
so
p( the card is not a face card) =1- 3/13
= 10/13
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For what value of x is sin ( x ) = cos 62, where 0 < x < 90?
Answers
Answer:
x = 28°
Step-by-step explanation:
using the cofunction identity
cos x = sin(90 - x) , then
cos62° = sin(90 - 62)° = sin28°
If the area of a rectangular sign is 3752 sq ft, and the width is approximately 56 ft, what is the height of the sign?
Answers
Answer: l=67ft
Using the formula
A=wl
Step-by-step explanation:
Solving
l=A
w=3752
56=67ft
I need help I’m stuck on this
question
x-c/2=d , for x
Answers
Answer:
I will answer this asap give me a few mins
Step-by-step explanation:
nun yet
Answer:
x = c/2 + d
Step-by-step explanation:
Hi I need help ASAP please and thank you
Answers
Answer: what’s the question? :D
Step-by-step explanation:
Describe how to transform the quantity of the sixth root of x to the fifth power, to the seventh power, into an expression with a rational exponent. Make sure you respond with complete sentences.
Please only CORRECT ANSWER. Don't answer if you don't know.
Answers
The quantity [tex](6\sqrt{x^5})^7[/tex] is transformed, into an expression with a rational exponent.
[tex]x^5 * 7 = 35[/tex]
This is further explained below.
What is the rational exponent. ?Exponents are said to be rational if they are able to be represented in the form of p/q, where the value of q is less than 0.
The notation for rational exponents is often written as xm/n, where x represents the base (a positive integer) and m/n is the rational exponent. Exponents may also be represented as xmn=nxm x m n = x m n.
This is another way to express rational exponents.
Generally, the equation is mathematically given as
[tex](6\sqrt{x^5})^7[/tex]
By bearing this in mind, we can make this process easier.
[tex](a^m)^n = a^m * n[/tex]
Therefore
[tex]x^5 * 7 = 35[/tex]
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y^2-10+30 Prove that the value of the expression must be positive.
Answers
Answer:
Step-by-step explanation:
[tex]y^2-10y+30=\\y^2-2(y)(5)+5^2-5^2+30=\\(y-5)^2-25+30=\\(y-5)^2+5[/tex]
[tex](y-5)^2\geq 0\\\Rightarrow\ (y-5)^2+5 > 0\\Thus,\ y^2-10y+30 > 0[/tex]
distributive property 4x9.4
Answers
Answer:
37.6
Step-by-step explanation:
4*9.4 = 37.6
A particular jury consists of 7 jurors. Each juror has a 0. 2 chance of making the wrong decision, independently of the others. If the jury reaches a decision by majority rule, what is the probability that it will reach a wrong decision?.
Answers
The probability that the jury will make a wrong decision is 0.033
The number of jury that makes the wrong decision can be modeled as a binomial random with parameters n=7 and p=0.2. This jury as a whole will make wrong decision if 4, 5, 6, or 7 make the wrong decision.
Now, denote the events with A, B, C, D for 4, 5, 6, 7 respectively. The probability of this union is the sum of probabilities, so that:
P(Jury Error) = P(A)+P(B)+P(C)+P(D)
[tex]\left \ ({{7} \atop {4}} \right.)(0.2)^{4} *(0.8)^{3}+\left \(( {{7} \atop {5}} \right. )(0.2)^{5} *(0.8)^{2} +\left \ ({{7} \atop {6}} \right.)(0.2)^{6} *(0.8)^{1} +\left \(( {{7} \atop {7}} \right.)(0.2)^{7} *(0.8)^{0}[/tex]
[tex]=0.033[/tex]
[tex]P(Jury Error)=0.033[/tex]
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33-(2c+4)=2(c +7)+c
what is C?
Answers
Answer:
x=4.6
Step-by-step explanation:
Because we are finding C, first use the distributive property.
33-(2c+4)=2(c+7)+c can turn into:
33-2c+4=2c+14+c
Now, combine like terms.
33+4=37
2c+c=3c
Now you are left with:
37-2c=3c+14
Now, add 2c on both sides.
37=5x+14
Next, subtract 14 on both sides.
37-14=23
23=5x
Finally, divide by 5 on both sides
x=4.6
SUPER URGENT WILL GIVE BRANLIEST AND ALL THE POINTS I HAVE
line a is parallel to line b. if the measure of∠7 is 144° what is the measure of∠4
Answers
Answer:
140
Step-by-step explanation:
Apply all relevant properties of
Answers
Recall that, when two terms are being multiplied and they have the same number we can add the exponents:
[tex]x^nx^m=x^{n+m}.[/tex]Applying the above property to the given expressions, we get:
[tex]\begin{gathered} 6^{\frac{9}{5}}6^{\frac{1}{5}}=6^{\frac{9}{5}+\frac{1}{5}}, \\ x^{\frac{10}{3}}x^{\frac{11}{3}}=x^{\frac{10}{3}+\frac{11}{3}}, \\ y^{\frac{7}{2}}y^{\frac{1}{2}}=y^{\frac{7}{2}+\frac{1}{2}}. \end{gathered}[/tex]Simplifying the above results, we get:
[tex]\begin{gathered} 6^{\frac{9}{5}}6^{\frac{1}{5}}=6^2, \\ x^{\frac{10}{3}}x^{\frac{11}{3}}=x^7, \\ y^{\frac{7}{2}}y^{\frac{1}{2}}=y^4. \end{gathered}[/tex]Answer:
[tex]\begin{gathered} 6^{\frac{9}{5}}6^{\frac{1}{5}}=6^2, \\ x^{\frac{10}{3}}x^{\frac{11}{3}}=x^7, \\ y^{\frac{7}{2}}y^{\frac{1}{2}}=y^4. \end{gathered}[/tex]The diagonal of a square is 6√3. Find the perimeter
Answers
Using the formulas
P=4a
d=2a
Solving forP
P=22d=2·2·6≈16.97056
find the constant of the variation y=-12/11 x
Answers
By understanding the definition of a direct variation model, the constant of variation of the expression y = - (12 / 11) · x is - 12 / 11.
What is the constant of variation of a direct variation model?
In the statement we find a linear model of the form y = r · x, which represents a linear variation model, that is, a model where the variable x is directly proportional to the variable y and r is the constant of variation.
Graphically speaking, linear variation model represents a line whose intercept is at the origin. A representation of the expression y = - (12 / 11) · x is shown in the image attached below.
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Need asap please will give 20 points if its correct
.
Which is the opposite of squaring a number?
Squaring the number.
Finding the cube root.
Finding the square root.
Cubing a number.
Answers
Answer:
finding the square root
Step-by-step explanation:
given 5² = 25
then the opposite is finding the square root , that is
5 = [tex]\sqrt{25}[/tex]
Kelly used a calculator to multiply large numbers. How can she write the number on her calculator screen in standard form? 3.15 E15
Answers
Kelly multiplied big number with a calculator. 3.15e-15 number on calculator means or 3.15e-15 in standard form is: 0.00000000000000315.
Given that,
Kelly multiplied big number with a calculator.
We have to find the standard form of 3.15e-15.
3.15e-15 is written in scientific notation, often called standard form. used to express big or tiny numbers differently.
3.15 = coefficient
e = 10 to the power of
-15 = exponent
We get, The standard form as
= 3.15e-15
= 3.15 × [tex]10^{-15}[/tex]
= 0.00000000000000315
Therefore, 3.15e-15 number on calculator means or 3.15e-15 in standard form is: 0.00000000000000315
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Answer:3,500,000,000,000,000
Step-by-step explanation:
3.5x10^15=3,500,000,000,000,000
Remove parentheses by using distributive property -2(3x - 4)
Answers
Answer:
-6x+8
Step-by-step explanation:
-2(3x-4)
-2(3x)-2(-4)
-6x+8
What is the slope of a line perpendicular to the line whose equation is
2x + 3y = 21. Fully simplify your answer.
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]2x+3y=21\implies 3y=-2x+21\implies y=\cfrac{-2x+21}{3} \\\\\\ y=\cfrac{-2x}{3}+\cfrac{21}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
well then, that simply means that
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}[/tex]
20% of a saline solution was mixed into saline solution with a concentration of 48% saline. How much of each solution be mixed together to obtain a solution of 8 milliliters with a 32% saline concentration
Answers
Answer:
Below in bold.
Step-by-step explanation:
Let x be the amount of 20% saline solution then the amount of 48% will
8 - x milliliters.
So,
0.20x + 0.48(8 - x) = 0.32* 8
0.20x + 3.84 - 0.48x = 2.56
-0.28x = -1.28
x = -1.28/-0.28
= 4.57 milliliters.
8 - x = 3.43 milliliters
The answer is:
4.57 milliliters of 20% solution and 3.43 milliliters of the 48% solution.
What is the equation for the linear model in the scatter plot obtained by choosing
the two points closest to the line? Please enter an exact answer (use a simplified
fraction or whole number instead of a decimal).
A. -2x +4
B. 2x+ 4
C. Y= -7/6x + 3
D. Y= 1/2x +4
Answers
The equation for the linear model in the scatter plot obtained by choosing
the two points closest to the line is y = - 2x + 4
How to find the equation for a linear model?The equation for the linear model in the scatter plot obtained by choosing
the two points closest to the line can be solved as follows:
The two point closest to the line are as follows:
(2, 0)(1, 2)
Using the linear equation,
y = mx + b
where
m = slopeb = y-interceptHence,
m = 2 - 0 / 1 - 2
m = 2 / - 1
m = -2
Therefore, the y-intercept using (2, 0) will be as follows:
0 = -2(2) + b
b = 4
Hence, the equation for the linear model is y = - 2x + 4
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What is an equation of the line that passes through the points (-5,7) and (5,5)?
Answers
Mr. rodriguez is packing bags of snacks for his children’s lunchboxes. he plans to use 20 blueberries and 30 grapes. each snack bag will have the same number of blueberries and grapes. how many bags can he make if each bag needs to be the same? 5 bags 10 bags 50 bags 60 bags
Answers
The number of bags of blueberries and grapes that Mr. Rodriguez can make is 10.
How many bags can he make?If the number of blueberries and grapes in the bags of snacks would be the same, the common factor of 20 and 30 have to be determined.
A factor is a number that divides another number evenly. For example, a factor of 200 is 10. A common factor is a factor that two or more number share. For example, a common factor of 10 and 20 is 5.
Factors of 20 = 1, 2, 4, 5, 10, 20
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30
Common factors = 1, 2, 3, 10
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Answer:10 bag thank i m smart
Step-by-step explanation:
Copy down the calculation below and insert one pair of brackets so that the
answer is correct.
12 + 24 divided by 2²+ 8 = 14
Answers
Answer:
12+24÷(2^2+8)
Step-by-step explanation:
that should be the answer
if you struggle with questions that are like this use trial and error
Please help, hurry... This lesson is called "Distance and Midpoint Formula" in Basic Geometry
Answers
Answer:
g(x) = x - 3
Step-by-step explanation:
An inverse function undoes a function meaning (x - 3) is the only function that undoes (x + 3).
25percent of what number is 18
Answers
Answer:
72%
Step-by-step explanation:
25percent of what number is 18
find unity18 : 25 = 0.72
find percent0.72 * 100 =
72%
OR25% = 1/4 so18 * 4 =
72%