Answer:
20
Step-by-step explanation:
The sum of the exterior angles of a polygon add to 360. 360 divided by 18 is 20.
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)
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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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?.
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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The probability of choosing a rotten apple from the bag of apples is 4/5
When the probability of choosing a rotten apple from the bag of apples is 4/5, the term that describes the probability is C. likely.
How to calculate the probability?It should be noted that probability simply means the occurence of a particular event. It should be noted that we know that the probability is between 0 to 1.
In this case, the probability of choosing a rotten apple from the bag of apples is 4/5. It should be noted that the probability is likely since it's close to 1.
Therefore, the correct option is C.
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The probability of choosing a rotten apple from the bag of apples is 4/5. Which term best describes this probability
impossible
unlikely
likely
certain
distributive property 4x9.4
Answer:
37.6
Step-by-step explanation:
4*9.4 = 37.6
Hakeem is starting a running plan to train
for a race. In the first week of his running
plan, Hakeem will run 11 miles. The plan
calls for Hakeem to increase his weekly
milage by 2 miles every week. If Hakeem
sticks to the plan, how many miles would
he be expected to run during his 8th week
of the training plan?
Answer:
25 miles
Step-by-step explanation:
Hakeem is starting a running plan to train for a race. In the first week of his running plan, Hakeem will run 11 miles. The plan calls for Hakeem to increase his weekly milage by 2 miles every week. If Hakeem sticks to the plan, how many miles would he be expected to run during his 8th week of the training plan?
This can be described as:
11 + 2w
when w = week
because he runs 11 miles the first week, he only has 7 weeks of 2 mile increases:
11 + 2(7) = 25 miles
The area of a parallelogram is 88.58 sq cm. The length of the base is 8.6 cm. What is the height?
Answer:
10.3 is the length
Step-by-step explanation:
If the area of a parallelogram is B * H then finding one side is dividing area by base or by height
88.58 / 8.6
Answer:
Step-by-step explanation:
88.58 divided by 8.6 is 10.3. That is your answer. 10.3.
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 :
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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Given that 2 = 6.
Which theorem proves that line d is parallel to line e.
Converse of the alternate exterior angle
theorem
Converse of the alternate interior angle
theorem
Alternate Exterior angle theorem
Alternate interior angle theorem
The theorem that proves that lines d and e are parallel is the: A. converse of the alternate exterior angles theorem.
What is the Converse of the Alternate Exterior Angles Theorem?The alternate exterior angles that are formed on each lines that are cross by the transversal are said to be congruent or equal to each other if both lines they lie on are parallel, based on the alternate exterior angles theorem.
Also, we can prove that if the alternate exterior angles are congruent, then the lines they lie on are parallel lines, using the converse of the alternate exterior angles theorem.
Thus, we are given that angle 2 = angle 6. Angles 2 and 6 lie on lines d and e. Since they are equal to each other, they are congruent angles. Therefore, lines d and e are parallel lines based on the converse of the alternate exterior angles theorem.
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AOC and BOD are diameters of a circle, centre O
Prove that triangle ABD and triangle DCA are congruent by RHS.
B
Triangle ABD is congruent to triangle DCA.
What is congruency of triangles?
Two figures or objects are congruent in geometry if they have the same shape and size, or if one has the same shape and size as its mirror counterpart. Two triangles are congruent if their respective sides are the same length and their corresponding angles are the same size.
Given, AOC and BOD are the diameters of a circle
Then, In triangles ABD and DCA,
∠BAD = ∠ADC = 90°
BD = CA (diameter)
AD = DA (common)
Thus, by RHS rule the triangles are congruent
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HELP ME ASAP TO BE DONE BY TONIGHT
Answer:
neither
Step-by-step explanation:
The lines are neither. They are perpendicular because when I graphed them, line 2 intersected line 1 at 5, -2.
Hope this helps! :)
PLEASEE HELP WHAT IS THE ANSWERR?!?!
Answer:
42 degree
Step-by-step explanation:
180-132=48
48+90=138
180-138=42
Answer:
Angle e is 42°.
Hope this helps!
Step-by-step explanation:
Total degrees of a triangle is 180°.
The square in the bottom means 90°, the angle with 132° is 48° because it's 180-132. 90 + 48 is 138, 180 - 138 is 42. Angle e is 42°.
Apply all relevant properties of
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]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
Answer:
140
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
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
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.
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]
33-(2c+4)=2(c +7)+c
what is C?
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
Drawn to scale
find the area of the figure
Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=8\\ b=12\\ h=7 \end{cases}\implies A=\cfrac{7(8+12)}{2}\implies A=70[/tex]
Find the probability that at most 2 heads occured when 5 fair coins are tossed
Answer:
Five coins are tossed the probability of getting two heads is 5/16.
Step-by-step explanation:
I hope it will be helpful for you.
-c+8x evaluated please help m with this math problem
Answer:0.5
Step-by-step explanation:
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?
Answer: l=67ft
Using the formula
A=wl
Step-by-step explanation:
Solving
l=A
w=3752
56=67ft
1. A man is able to walk 216 feet in 3 minutes. How far can he walk in 1
minute?
Answer: 216/3
Step-by-step explanation:
1 minute / 3 minutes = 1/3
216 feet * 1/3 = 216/3 feet per minute
Answer:
72 feet
Step-by-step explanation:
This question tests on the concept of conversion.
Given from the question, given the man can walk 216 feet in 3 minutes,
3 minutes = 216 feet
(3÷3) minute = (216 ÷ 3) feet
1 minute = 72 feet
find the slope of the line that passes through ( 7,1 ) and (10,3)
simplify your answer and write it as a proper fraction. improper fraction, or integer.
Answer:
2/3
Step-by-step explanation:
The formula for the slope is:
[tex]\frac{y2-y1}{x2-x1}[/tex]
Plug in (7,1) and (10, 3):
[tex]\frac{3-1}{10-7} = 2/3[/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
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
Write the equation of the line that goes through the point (3,-3) and has a slope of -5/3 (in slope intercept form).
The equation of the line that goes through the point (3,-3) and has a slope of -5/3 is y=(-5x+6)/3.
What is a slope?In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent a slope; reason for this is unclear, although it is first used in English by O'Brien in 1844, who wrote the equation for a straight line as "y = mx + b," and by Todhunter in 1888, who wrote it as "y = mx + c."
The ratio of "vertical change" to "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio can also be written as quotient ("rise over run"), which produces same number for every two distinct points on the same line. A declining line has negative "rise." The line might be useful, as determined by road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.
The slope's absolute value serves as a gauge for line's steepness, incline, or grade. A steeper line is indicated by slope with a higher absolute value. A line can be drawn with one of four directions: upward, downward, horizontal, or vertical.
if we let y = mx + b, where m is the slope and b is the intercept, and y - y1 = m (x - x1), then:
3(y + 3) = - 5 (X - (-3))
3y + 9 = - 5 X + 15
3y = -5 X + 6
y=(-5x+6)/3
Check:
When x = 3, y should equal - 3, so:
Y = (- 5 (3) + 6)/3 = -3
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Remove parentheses by using distributive property -2(3x - 4)
Answer:
-6x+8
Step-by-step explanation:
-2(3x-4)
-2(3x)-2(-4)
-6x+8
What is an equation of the line that passes through the points (-5,7) and (5,5)?
A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.
How much was deducted from the original price?
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!!
Hi I need help ASAP please and thank you
Answer: what’s the question? :D
Step-by-step explanation:
For what value of x is sin ( x ) = cos 62, where 0 < x < 90?
Answer:
x = 28°
Step-by-step explanation:
using the cofunction identity
cos x = sin(90 - x) , then
cos62° = sin(90 - 62)° = sin28°
Mason and his children went into a movie theater and he bought $36.50
worth of candies and pretzels. Each candy costs $4.25 and each pretzel costs
$3.50. He bought 6 more pretzels than candies. Write a system of equations
that could be used to determine the number of candies and the number of
pretzels that Mason bought. Define the variables that you use to write the
system.
Answer:
Let C=the number of candies (because the first variable starts with c)
Let p= the number of pretzels (because the second variable starts with p)
SYSTEM OF EQUATIONS:
4.25c+3.50p=36.50 (first variable number + 2nd variable number equals total amount
p=c+6 (we know we have 6 more pretzels than candies to we have to add candies(c)+6 how many more pretzels than candy we have to find pretzels total number.